---
_id: '14600'
abstract:
- lang: eng
text: We study the problem of learning controllers for discrete-time non-linear
stochastic dynamical systems with formal reach-avoid guarantees. This work presents
the first method for providing formal reach-avoid guarantees, which combine and
generalize stability and safety guarantees, with a tolerable probability threshold
$p\in[0,1]$ over the infinite time horizon. Our method leverages advances in machine
learning literature and it represents formal certificates as neural networks.
In particular, we learn a certificate in the form of a reach-avoid supermartingale
(RASM), a novel notion that we introduce in this work. Our RASMs provide reachability
and avoidance guarantees by imposing constraints on what can be viewed as a stochastic
extension of level sets of Lyapunov functions for deterministic systems. Our approach
solves several important problems -- it can be used to learn a control policy
from scratch, to verify a reach-avoid specification for a fixed control policy,
or to fine-tune a pre-trained policy if it does not satisfy the reach-avoid specification.
We validate our approach on $3$ stochastic non-linear reinforcement learning tasks.
article_processing_charge: No
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
for stochastic systems with reach-avoid guarantees. arXiv. doi:10.48550/ARXIV.2210.05308
apa: Zikelic, D., Lechner, M., Henzinger, T. A., & Chatterjee, K. (n.d.). Learning
control policies for stochastic systems with reach-avoid guarantees. arXiv.
https://doi.org/10.48550/ARXIV.2210.05308
chicago: Zikelic, Dorde, Mathias Lechner, Thomas A Henzinger, and Krishnendu Chatterjee.
“Learning Control Policies for Stochastic Systems with Reach-Avoid Guarantees.”
ArXiv, n.d. https://doi.org/10.48550/ARXIV.2210.05308.
ieee: D. Zikelic, M. Lechner, T. A. Henzinger, and K. Chatterjee, “Learning control
policies for stochastic systems with reach-avoid guarantees,” arXiv. .
ista: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
for stochastic systems with reach-avoid guarantees. arXiv, 10.48550/ARXIV.2210.05308.
mla: Zikelic, Dorde, et al. “Learning Control Policies for Stochastic Systems with
Reach-Avoid Guarantees.” ArXiv, doi:10.48550/ARXIV.2210.05308.
short: D. Zikelic, M. Lechner, T.A. Henzinger, K. Chatterjee, ArXiv (n.d.).
date_created: 2023-11-24T13:10:09Z
date_published: 2022-11-29T00:00:00Z
date_updated: 2024-01-22T14:08:29Z
day: '29'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/ARXIV.2210.05308
ec_funded: 1
external_id:
arxiv:
- '2210.05308'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2210.05308
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
- id: '14830'
relation: later_version
status: public
status: public
title: Learning control policies for stochastic systems with reach-avoid guarantees
tmp:
image: /images/cc_by_sa.png
legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
BY-SA 4.0)
short: CC BY-SA (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '10052'
abstract:
- lang: eng
text: "A deterministic finite automaton (DFA) \U0001D49C is composite if its language
L(\U0001D49C) can be decomposed into an intersection ⋂_{i = 1}^k L(\U0001D49C_i)
of languages of smaller DFAs. Otherwise, \U0001D49C is prime. This notion of primality
was introduced by Kupferman and Mosheiff in 2013, and while they proved that we
can decide whether a DFA is composite, the precise complexity of this problem
is still open, with a doubly-exponential gap between the upper and lower bounds.
In this work, we focus on permutation DFAs, i.e., those for which the transition
monoid is a group. We provide an NP algorithm to decide whether a permutation
DFA is composite, and show that the difficulty of this problem comes from the
number of non-accepting states of the instance: we give a fixed-parameter tractable
algorithm with the number of rejecting states as the parameter. Moreover, we investigate
the class of commutative permutation DFAs. Their structural properties allow us
to decide compositionality in NL, and even in LOGSPACE if the alphabet size is
fixed. Despite this low complexity, we show that complex behaviors still arise
in this class: we provide a family of composite DFAs each requiring polynomially
many factors with respect to its size. We also consider the variant of the problem
that asks whether a DFA is k-factor composite, that is, decomposable into k smaller
DFAs, for some given integer k ∈ ℕ. We show that, for commutative permutation
DFAs, restricting the number of factors makes the decision computationally harder,
and yields a problem with tight bounds: it is NP-complete. Finally, we show that
in general, this problem is in PSPACE, and it is in LOGSPACE for DFAs with a singleton
alphabet."
acknowledgement: "Ismaël Jecker: Marie Skłodowska-Curie Grant Agreement No. 754411.
Nicolas Mazzocchi: BOSCO project PGC2018-102210-B-I00 (MCIU/AEI/FEDER, UE), BLOQUESCM
project S2018/TCS-4339, and MINECO grant RYC-2016-20281.\r\nPetra Wolf : DFG project
FE 560/9-1.\r\n"
alternative_title:
- LIPIcs
article_number: '18'
article_processing_charge: No
author:
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Nicolas
full_name: Mazzocchi, Nicolas
last_name: Mazzocchi
- first_name: Petra
full_name: Wolf, Petra
last_name: Wolf
citation:
ama: 'Jecker IR, Mazzocchi N, Wolf P. Decomposing permutation automata. In: 32nd
International Conference on Concurrency Theory. Vol 203. Schloss Dagstuhl
- Leibniz Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.CONCUR.2021.18'
apa: 'Jecker, I. R., Mazzocchi, N., & Wolf, P. (2021). Decomposing permutation
automata. In 32nd International Conference on Concurrency Theory (Vol.
203). Paris, France: Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2021.18'
chicago: Jecker, Ismael R, Nicolas Mazzocchi, and Petra Wolf. “Decomposing Permutation
Automata.” In 32nd International Conference on Concurrency Theory, Vol.
203. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.CONCUR.2021.18.
ieee: I. R. Jecker, N. Mazzocchi, and P. Wolf, “Decomposing permutation automata,”
in 32nd International Conference on Concurrency Theory, Paris, France,
2021, vol. 203.
ista: 'Jecker IR, Mazzocchi N, Wolf P. 2021. Decomposing permutation automata. 32nd
International Conference on Concurrency Theory. CONCUR: Conference on Concurrency
Theory, LIPIcs, vol. 203, 18.'
mla: Jecker, Ismael R., et al. “Decomposing Permutation Automata.” 32nd International
Conference on Concurrency Theory, vol. 203, 18, Schloss Dagstuhl - Leibniz
Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.CONCUR.2021.18.
short: I.R. Jecker, N. Mazzocchi, P. Wolf, in:, 32nd International Conference on
Concurrency Theory, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021.
conference:
end_date: 2021-08-27
location: Paris, France
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2021-08-23
date_created: 2021-09-27T14:33:14Z
date_published: 2021-08-13T00:00:00Z
date_updated: 2022-05-13T08:12:52Z
day: '13'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2021.18
ec_funded: 1
external_id:
arxiv:
- '2107.04683'
file:
- access_level: open_access
checksum: 4722c81be82265cf45e78adf9db91250
content_type: application/pdf
creator: cchlebak
date_created: 2021-10-01T11:10:53Z
date_updated: 2021-10-01T11:10:53Z
file_id: '10064'
file_name: 2021_CONCUR_Jecker.pdf
file_size: 1003552
relation: main_file
success: 1
file_date_updated: 2021-10-01T11:10:53Z
has_accepted_license: '1'
intvolume: ' 203'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 32nd International Conference on Concurrency Theory
publication_identifier:
isbn:
- 978-3-9597-7203-7
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Decomposing permutation automata
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 203
year: '2021'
...
---
_id: '10054'
abstract:
- lang: eng
text: 'Graphs and games on graphs are fundamental models for the analysis of reactive
systems, in particular, for model-checking and the synthesis of reactive systems.
The class of ω-regular languages provides a robust specification formalism for
the desired properties of reactive systems. In the classical infinitary formulation
of the liveness part of an ω-regular specification, a "good" event must happen
eventually without any bound between the good events. A stronger notion of liveness
is bounded liveness, which requires that good events happen within d transitions.
Given a graph or a game graph with n vertices, m edges, and a bounded liveness
objective, the previous best-known algorithmic bounds are as follows: (i) O(dm)
for graphs, which in the worst-case is O(n³); and (ii) O(n² d²) for games on graphs.
Our main contributions improve these long-standing algorithmic bounds. For graphs
we present: (i) a randomized algorithm with one-sided error with running time
O(n^{2.5} log n) for the bounded liveness objectives; and (ii) a deterministic
linear-time algorithm for the complement of bounded liveness objectives. For games
on graphs, we present an O(n² d) time algorithm for the bounded liveness objectives.'
acknowledgement: 'Krishnendu Chatterjee: Supported by the ERC CoG 863818 (ForM-SMArt).
Monika Henzinger: Supported by the Austrian Science Fund (FWF) and netIDEE SCIENCE
project P 33775-N. Sagar Sudhir Kale: Partially supported by the Vienna Science
and Technology Fund (WWTF) through project ICT15-003. Alexander Svozil: Fully supported
by the Vienna Science and Technology Fund (WWTF) through project ICT15-003.'
alternative_title:
- LIPIcs
article_number: '124'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Sagar Sudhir
full_name: Kale, Sagar Sudhir
last_name: Kale
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Henzinger MH, Kale SS, Svozil A. Faster algorithms for bounded
liveness in graphs and game graphs. In: 48th International Colloquium on Automata,
Languages, and Programming. Vol 198. Schloss Dagstuhl - Leibniz Zentrum für
Informatik; 2021. doi:10.4230/LIPIcs.ICALP.2021.124'
apa: 'Chatterjee, K., Henzinger, M. H., Kale, S. S., & Svozil, A. (2021). Faster
algorithms for bounded liveness in graphs and game graphs. In 48th International
Colloquium on Automata, Languages, and Programming (Vol. 198). Glasgow, Scotland:
Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.ICALP.2021.124'
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Sagar Sudhir Kale, and Alexander
Svozil. “Faster Algorithms for Bounded Liveness in Graphs and Game Graphs.” In
48th International Colloquium on Automata, Languages, and Programming,
Vol. 198. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.ICALP.2021.124.
ieee: K. Chatterjee, M. H. Henzinger, S. S. Kale, and A. Svozil, “Faster algorithms
for bounded liveness in graphs and game graphs,” in 48th International Colloquium
on Automata, Languages, and Programming, Glasgow, Scotland, 2021, vol. 198.
ista: 'Chatterjee K, Henzinger MH, Kale SS, Svozil A. 2021. Faster algorithms for
bounded liveness in graphs and game graphs. 48th International Colloquium on Automata,
Languages, and Programming. ICALP: International Colloquium on Automata, Languages,
and Programming, LIPIcs, vol. 198, 124.'
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Bounded Liveness in Graphs
and Game Graphs.” 48th International Colloquium on Automata, Languages, and
Programming, vol. 198, 124, Schloss Dagstuhl - Leibniz Zentrum für Informatik,
2021, doi:10.4230/LIPIcs.ICALP.2021.124.
short: K. Chatterjee, M.H. Henzinger, S.S. Kale, A. Svozil, in:, 48th International
Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz
Zentrum für Informatik, 2021.
conference:
end_date: 2021-07-16
location: Glasgow, Scotland
name: 'ICALP: International Colloquium on Automata, Languages, and Programming'
start_date: 2021-07-12
date_created: 2021-09-27T14:33:15Z
date_published: 2021-07-02T00:00:00Z
date_updated: 2022-08-12T10:55:02Z
day: '02'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.ICALP.2021.124
ec_funded: 1
file:
- access_level: open_access
checksum: 5a3fed8dbba8c088cbeac1e24cc10bc5
content_type: application/pdf
creator: cchlebak
date_created: 2021-10-01T08:49:26Z
date_updated: 2021-10-01T08:49:26Z
file_id: '10062'
file_name: 2021_LIPIcs_Chatterjee.pdf
file_size: 854576
relation: main_file
success: 1
file_date_updated: 2021-10-01T08:49:26Z
has_accepted_license: '1'
intvolume: ' 198'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 48th International Colloquium on Automata, Languages, and Programming
publication_identifier:
isbn:
- 978-3-95977-195-5
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for bounded liveness in graphs and game graphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 198
year: '2021'
...
---
_id: '10075'
abstract:
- lang: eng
text: We study the expressiveness and succinctness of good-for-games pushdown automata
(GFG-PDA) over finite words, that is, pushdown automata whose nondeterminism can
be resolved based on the run constructed so far, but independently of the remainder
of the input word. We prove that GFG-PDA recognise more languages than deterministic
PDA (DPDA) but not all context-free languages (CFL). This class is orthogonal
to unambiguous CFL. We further show that GFG-PDA can be exponentially more succinct
than DPDA, while PDA can be double-exponentially more succinct than GFG-PDA. We
also study GFGness in visibly pushdown automata (VPA), which enjoy better closure
properties than PDA, and for which we show GFGness to be ExpTime-complete. GFG-VPA
can be exponentially more succinct than deterministic VPA, while VPA can be exponentially
more succinct than GFG-VPA. Both of these lower bounds are tight. Finally, we
study the complexity of resolving nondeterminism in GFG-PDA. Every GFG-PDA has
a positional resolver, a function that resolves nondeterminism and that is only
dependant on the current configuration. Pushdown transducers are sufficient to
implement the resolvers of GFG-VPA, but not those of GFG-PDA. GFG-PDA with finite-state
resolvers are determinisable.
acknowledgement: 'Ismaël Jecker: Funded by the European Union’s Horizon 2020 research
and innovation programme under the Marie Skłodowska-Curie grant agreement No 754411.
Karoliina Lehtinen: Funded by the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie grant agreement No 892704.'
alternative_title:
- LIPIcs
article_number: '53'
article_processing_charge: No
author:
- first_name: Shibashis
full_name: Guha, Shibashis
last_name: Guha
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Karoliina
full_name: Lehtinen, Karoliina
last_name: Lehtinen
- first_name: Martin
full_name: Zimmermann, Martin
last_name: Zimmermann
citation:
ama: 'Guha S, Jecker IR, Lehtinen K, Zimmermann M. A bit of nondeterminism makes
pushdown automata expressive and succinct. In: 46th International Symposium
on Mathematical Foundations of Computer Science. Vol 202. Schloss Dagstuhl
- Leibniz Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.MFCS.2021.53'
apa: 'Guha, S., Jecker, I. R., Lehtinen, K., & Zimmermann, M. (2021). A bit
of nondeterminism makes pushdown automata expressive and succinct. In 46th
International Symposium on Mathematical Foundations of Computer Science (Vol.
202). Tallinn, Estonia: Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2021.53'
chicago: Guha, Shibashis, Ismael R Jecker, Karoliina Lehtinen, and Martin Zimmermann.
“A Bit of Nondeterminism Makes Pushdown Automata Expressive and Succinct.” In
46th International Symposium on Mathematical Foundations of Computer Science,
Vol. 202. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.MFCS.2021.53.
ieee: S. Guha, I. R. Jecker, K. Lehtinen, and M. Zimmermann, “A bit of nondeterminism
makes pushdown automata expressive and succinct,” in 46th International Symposium
on Mathematical Foundations of Computer Science, Tallinn, Estonia, 2021, vol.
202.
ista: 'Guha S, Jecker IR, Lehtinen K, Zimmermann M. 2021. A bit of nondeterminism
makes pushdown automata expressive and succinct. 46th International Symposium
on Mathematical Foundations of Computer Science. MFCS: Mathematical Foundations
of Computer Science, LIPIcs, vol. 202, 53.'
mla: Guha, Shibashis, et al. “A Bit of Nondeterminism Makes Pushdown Automata Expressive
and Succinct.” 46th International Symposium on Mathematical Foundations of
Computer Science, vol. 202, 53, Schloss Dagstuhl - Leibniz Zentrum für Informatik,
2021, doi:10.4230/LIPIcs.MFCS.2021.53.
short: S. Guha, I.R. Jecker, K. Lehtinen, M. Zimmermann, in:, 46th International
Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
Leibniz Zentrum für Informatik, 2021.
conference:
end_date: 2021-08-27
location: Tallinn, Estonia
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2021-08-23
date_created: 2021-10-03T22:01:23Z
date_published: 2021-08-18T00:00:00Z
date_updated: 2022-05-13T08:21:56Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2021.53
ec_funded: 1
external_id:
arxiv:
- '2105.02611'
file:
- access_level: open_access
checksum: f4d407d43a97330c3fb11e6a7a6fbfb2
content_type: application/pdf
creator: cchlebak
date_created: 2021-10-06T12:44:05Z
date_updated: 2021-10-06T12:44:05Z
file_id: '10097'
file_name: 2021_LIPIcs_Guha.pdf
file_size: 825567
relation: main_file
success: 1
file_date_updated: 2021-10-06T12:44:05Z
has_accepted_license: '1'
intvolume: ' 202'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 46th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
isbn:
- 978-3-9597-7201-3
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: A bit of nondeterminism makes pushdown automata expressive and succinct
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 202
year: '2021'
...
---
_id: '10630'
abstract:
- lang: eng
text: In the Intersection Non-emptiness problem, we are given a list of finite automata
A_1, A_2,… , A_m over a common alphabet Σ as input, and the goal is to determine
whether some string w ∈ Σ^* lies in the intersection of the languages accepted
by the automata in the list. We analyze the complexity of the Intersection Non-emptiness
problem under the promise that all input automata accept a language in some level
of the dot-depth hierarchy, or some level of the Straubing-Thérien hierarchy.
Automata accepting languages from the lowest levels of these hierarchies arise
naturally in the context of model checking. We identify a dichotomy in the dot-depth
hierarchy by showing that the problem is already NP-complete when all input automata
accept languages of the levels B_0 or B_{1/2} and already PSPACE-hard when all
automata accept a language from the level B_1. Conversely, we identify a tetrachotomy
in the Straubing-Thérien hierarchy. More precisely, we show that the problem is
in AC^0 when restricted to level L_0; complete for L or NL, depending on the input
representation, when restricted to languages in the level L_{1/2}; NP-complete
when the input is given as DFAs accepting a language in L_1 or L_{3/2}; and finally,
PSPACE-complete when the input automata accept languages in level L_2 or higher.
Moreover, we show that the proof technique used to show containment in NP for
DFAs accepting languages in L_1 or L_{3/2} does not generalize to the context
of NFAs. To prove this, we identify a family of languages that provide an exponential
separation between the state complexity of general NFAs and that of partially
ordered NFAs. To the best of our knowledge, this is the first superpolynomial
separation between these two models of computation.
acknowledgement: "We like to thank Lukas Fleischer and Michael Wehar for our discussions.
This work started at the Schloss Dagstuhl Event 20483 Moderne Aspekte der Komplexitätstheorie
in der Automatentheorie https://www.dagstuhl.de/20483.\r\n"
alternative_title:
- LIPIcs
article_number: '34'
article_processing_charge: No
author:
- first_name: Emmanuel
full_name: Arrighi, Emmanuel
last_name: Arrighi
- first_name: Henning
full_name: Fernau, Henning
last_name: Fernau
- first_name: Stefan
full_name: Hoffmann, Stefan
last_name: Hoffmann
- first_name: Markus
full_name: Holzer, Markus
last_name: Holzer
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Mateus
full_name: De Oliveira Oliveira, Mateus
last_name: De Oliveira Oliveira
- first_name: Petra
full_name: Wolf, Petra
last_name: Wolf
citation:
ama: 'Arrighi E, Fernau H, Hoffmann S, et al. On the complexity of intersection
non-emptiness for star-free language classes. In: 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science. Vol
213. Schloss Dagstuhl - Leibniz Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.34'
apa: 'Arrighi, E., Fernau, H., Hoffmann, S., Holzer, M., Jecker, I. R., De Oliveira
Oliveira, M., & Wolf, P. (2021). On the complexity of intersection non-emptiness
for star-free language classes. In 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science (Vol. 213). Virtual:
Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.34'
chicago: Arrighi, Emmanuel, Henning Fernau, Stefan Hoffmann, Markus Holzer, Ismael
R Jecker, Mateus De Oliveira Oliveira, and Petra Wolf. “On the Complexity of Intersection
Non-Emptiness for Star-Free Language Classes.” In 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science, Vol.
213. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.34.
ieee: E. Arrighi et al., “On the complexity of intersection non-emptiness
for star-free language classes,” in 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science, Virtual, 2021, vol.
213.
ista: 'Arrighi E, Fernau H, Hoffmann S, Holzer M, Jecker IR, De Oliveira Oliveira
M, Wolf P. 2021. On the complexity of intersection non-emptiness for star-free
language classes. 41st IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science. FSTTCS: Foundations of Software Technology and
Theoretical Computer Science, LIPIcs, vol. 213, 34.'
mla: Arrighi, Emmanuel, et al. “On the Complexity of Intersection Non-Emptiness
for Star-Free Language Classes.” 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science, vol. 213, 34, Schloss
Dagstuhl - Leibniz Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.34.
short: E. Arrighi, H. Fernau, S. Hoffmann, M. Holzer, I.R. Jecker, M. De Oliveira
Oliveira, P. Wolf, in:, 41st IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science, Schloss Dagstuhl - Leibniz Zentrum
für Informatik, 2021.
conference:
end_date: 2021-12-17
location: Virtual
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2021-12-15
date_created: 2022-01-16T23:01:29Z
date_published: 2021-11-29T00:00:00Z
date_updated: 2022-01-17T10:56:19Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2021.34
ec_funded: 1
external_id:
arxiv:
- '2110.01279'
file:
- access_level: open_access
checksum: d5a82ba893c3bc5da5914edbb3efb92b
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-17T10:49:03Z
date_updated: 2022-01-17T10:49:03Z
file_id: '10634'
file_name: 2021_LIPIcs_Arrighi.pdf
file_size: 844224
relation: main_file
success: 1
file_date_updated: 2022-01-17T10:49:03Z
has_accepted_license: '1'
intvolume: ' 213'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 41st IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science
publication_identifier:
isbn:
- 978-3-9597-7215-0
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the complexity of intersection non-emptiness for star-free language classes
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 213
year: '2021'
...
---
_id: '10629'
abstract:
- lang: eng
text: "Product graphs arise naturally in formal verification and program analysis.
For example, the analysis of two concurrent threads requires the product of two
component control-flow graphs, and for language inclusion of deterministic automata
the product of two automata is constructed. In many cases, the component graphs
have constant treewidth, e.g., when the input contains control-flow graphs of
programs. We consider the algorithmic analysis of products of two constant-treewidth
graphs with respect to three classic specification languages, namely, (a) algebraic
properties, (b) mean-payoff properties, and (c) initial credit for energy properties.\r\nOur
main contributions are as follows. Consider a graph G that is the product of two
constant-treewidth graphs of size n each. First, given an idempotent semiring,
we present an algorithm that computes the semiring transitive closure of G in
time Õ(n⁴). Since the output has size Θ(n⁴), our algorithm is optimal (up to
polylog factors). Second, given a mean-payoff objective, we present an O(n³)-time
algorithm for deciding whether the value of a starting state is non-negative,
improving the previously known O(n⁴) bound. Third, given an initial credit for
energy objective, we present an O(n⁵)-time algorithm for computing the minimum
initial credit for all nodes of G, improving the previously known O(n⁸) bound.
At the heart of our approach lies an algorithm for the efficient construction
of strongly-balanced tree decompositions of constant-treewidth graphs. Given a
constant-treewidth graph G' of n nodes and a positive integer λ, our algorithm
constructs a binary tree decomposition of G' of width O(λ) with the property that
the size of each subtree decreases geometrically with rate (1/2 + 2^{-λ})."
alternative_title:
- LIPIcs
article_number: '42'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Quantitative verification on
product graphs of small treewidth. In: 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science. Vol 213. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.42'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Quantitative
verification on product graphs of small treewidth. In 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science (Vol.
213). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
“Quantitative Verification on Product Graphs of Small Treewidth.” In 41st IARCS
Annual Conference on Foundations of Software Technology and Theoretical Computer
Science, Vol. 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Quantitative verification
on product graphs of small treewidth,” in 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science, Virtual, 2021, vol.
213.
ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Quantitative verification
on product graphs of small treewidth. 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of
Software Technology and Theoretical Computer Science, LIPIcs, vol. 213, 42.'
mla: Chatterjee, Krishnendu, et al. “Quantitative Verification on Product Graphs
of Small Treewidth.” 41st IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science, vol. 213, 42, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.42.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
conference:
end_date: 2021-12-17
location: Virtual
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2021-12-15
date_created: 2022-01-16T23:01:28Z
date_published: 2021-11-29T00:00:00Z
date_updated: 2022-01-17T10:39:40Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2021.42
file:
- access_level: open_access
checksum: 71141acdeffa9056f24d6dbef952d254
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-17T10:36:08Z
date_updated: 2022-01-17T10:36:08Z
file_id: '10633'
file_name: 2021_LIPIcs_Chatterjee.pdf
file_size: 891566
relation: main_file
success: 1
file_date_updated: 2022-01-17T10:36:08Z
has_accepted_license: '1'
intvolume: ' 213'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: 41st IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science
publication_identifier:
isbn:
- 978-3-9597-7215-0
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative verification on product graphs of small treewidth
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 213
year: '2021'
...
---
_id: '10694'
abstract:
- lang: eng
text: 'In a two-player zero-sum graph game the players move a token throughout a
graph to produce an infinite path, which determines the winner or payoff of the
game. Traditionally, the players alternate turns in moving the token. In bidding
games, however, the players have budgets, and in each turn, we hold an “auction”
(bidding) to determine which player moves the token: both players simultaneously
submit bids and the higher bidder moves the token. The bidding mechanisms differ
in their payment schemes. Bidding games were largely studied with variants of
first-price bidding in which only the higher bidder pays his bid. We focus on
all-pay bidding, where both players pay their bids. Finite-duration all-pay bidding
games were studied and shown to be technically more challenging than their first-price
counterparts. We study for the first time, infinite-duration all-pay bidding games.
Our most interesting results are for mean-payoff objectives: we portray a complete
picture for games played on strongly-connected graphs. We study both pure (deterministic)
and mixed (probabilistic) strategies and completely characterize the optimal and
almost-sure (with probability 1) payoffs the players can respectively guarantee.
We show that mean-payoff games under all-pay bidding exhibit the intriguing mathematical
properties of their first-price counterparts; namely, an equivalence with random-turn
games in which in each turn, the player who moves is selected according to a (biased)
coin toss. The equivalences for all-pay bidding are more intricate and unexpected
than for first-price bidding.'
acknowledgement: This research was supported in part by the Austrian Science Fund
(FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and
by the European Union's Horizon 2020 research and innovation programme under the
Marie Skłodowska-Curie Grant Agreement No. 665385.
article_processing_charge: No
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
citation:
ama: 'Avni G, Jecker IR, Zikelic D. Infinite-duration all-pay bidding games. In:
Marx D, ed. Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms.
Society for Industrial and Applied Mathematics; 2021:617-636. doi:10.1137/1.9781611976465.38'
apa: 'Avni, G., Jecker, I. R., & Zikelic, D. (2021). Infinite-duration all-pay
bidding games. In D. Marx (Ed.), Proceedings of the 2021 ACM-SIAM Symposium
on Discrete Algorithms (pp. 617–636). Virtual: Society for Industrial and
Applied Mathematics. https://doi.org/10.1137/1.9781611976465.38'
chicago: Avni, Guy, Ismael R Jecker, and Dorde Zikelic. “Infinite-Duration All-Pay
Bidding Games.” In Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms,
edited by Dániel Marx, 617–36. Society for Industrial and Applied Mathematics,
2021. https://doi.org/10.1137/1.9781611976465.38.
ieee: G. Avni, I. R. Jecker, and D. Zikelic, “Infinite-duration all-pay bidding
games,” in Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms,
Virtual, 2021, pp. 617–636.
ista: 'Avni G, Jecker IR, Zikelic D. 2021. Infinite-duration all-pay bidding games.
Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium
on Discrete Algorithms, 617–636.'
mla: Avni, Guy, et al. “Infinite-Duration All-Pay Bidding Games.” Proceedings
of the 2021 ACM-SIAM Symposium on Discrete Algorithms, edited by Dániel Marx,
Society for Industrial and Applied Mathematics, 2021, pp. 617–36, doi:10.1137/1.9781611976465.38.
short: G. Avni, I.R. Jecker, D. Zikelic, in:, D. Marx (Ed.), Proceedings of the
2021 ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied
Mathematics, 2021, pp. 617–636.
conference:
end_date: 2021-01-13
location: Virtual
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2021-01-10
date_created: 2022-01-27T12:11:23Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2022-01-27T12:58:43Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1137/1.9781611976465.38
ec_funded: 1
editor:
- first_name: Dániel
full_name: Marx, Dániel
last_name: Marx
external_id:
arxiv:
- '2005.06636'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2005.06636
month: '01'
oa: 1
oa_version: Preprint
page: 617-636
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
isbn:
- 978-1-61197-646-5
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infinite-duration all-pay bidding games
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2021'
...
---
_id: '10847'
abstract:
- lang: eng
text: 'We study the two-player zero-sum extension of the partially observable stochastic
shortest-path problem where one agent has only partial information about the environment.
We formulate this problem as a partially observable stochastic game (POSG): given
a set of target states and negative rewards for each transition, the player with
imperfect information maximizes the expected undiscounted total reward until a
target state is reached. The second player with the perfect information aims for
the opposite. We base our formalism on POSGs with one-sided observability (OS-POSGs)
and give the following contributions: (1) we introduce a novel heuristic search
value iteration algorithm that iteratively solves depth-limited variants of the
game, (2) we derive the bound on the depth guaranteeing an arbitrary precision,
(3) we propose a novel upper-bound estimation that allows early terminations,
and (4) we experimentally evaluate the algorithm on a pursuit-evasion game.'
acknowledgement: "This research was supported by the Czech Science Foundation (no.
19-24384Y), by the OP VVV MEYS funded project CZ.02.1.01/0.0/0.0/16 019/0000765
“Research Center for Informatics”, by the ERC CoG 863818 (ForM-SMArt), and by the
Combat Capabilities Development Command Army Research Laboratory and was accomplished
under Cooperative\r\nAgreement Number W911NF-13-2-0045 (ARL Cyber Security CRA).
The views and conclusions contained in this document are those of the authors and
should not be interpreted as\r\nrepresenting the official policies, either expressed
or implied, of the Combat Capabilities Development Command Army Research Laboratory
or the U.S. Government. The U.S. Government is authorized to reproduce and distribute
reprints for Government purposes not withstanding any copyright notation here on. "
article_processing_charge: No
author:
- first_name: Petr
full_name: Tomášek, Petr
last_name: Tomášek
- first_name: Karel
full_name: Horák, Karel
last_name: Horák
- first_name: Aditya
full_name: Aradhye, Aditya
last_name: Aradhye
- first_name: Branislav
full_name: Bošanský, Branislav
last_name: Bošanský
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Tomášek P, Horák K, Aradhye A, Bošanský B, Chatterjee K. Solving partially
observable stochastic shortest-path games. In: 30th International Joint Conference
on Artificial Intelligence. International Joint Conferences on Artificial
Intelligence; 2021:4182-4189. doi:10.24963/ijcai.2021/575'
apa: 'Tomášek, P., Horák, K., Aradhye, A., Bošanský, B., & Chatterjee, K. (2021).
Solving partially observable stochastic shortest-path games. In 30th International
Joint Conference on Artificial Intelligence (pp. 4182–4189). Virtual, Online:
International Joint Conferences on Artificial Intelligence. https://doi.org/10.24963/ijcai.2021/575'
chicago: Tomášek, Petr, Karel Horák, Aditya Aradhye, Branislav Bošanský, and Krishnendu
Chatterjee. “Solving Partially Observable Stochastic Shortest-Path Games.” In
30th International Joint Conference on Artificial Intelligence, 4182–89.
International Joint Conferences on Artificial Intelligence, 2021. https://doi.org/10.24963/ijcai.2021/575.
ieee: P. Tomášek, K. Horák, A. Aradhye, B. Bošanský, and K. Chatterjee, “Solving
partially observable stochastic shortest-path games,” in 30th International
Joint Conference on Artificial Intelligence, Virtual, Online, 2021, pp. 4182–4189.
ista: 'Tomášek P, Horák K, Aradhye A, Bošanský B, Chatterjee K. 2021. Solving partially
observable stochastic shortest-path games. 30th International Joint Conference
on Artificial Intelligence. IJCAI: International Joint Conferences on Artificial
Intelligence Organization, 4182–4189.'
mla: Tomášek, Petr, et al. “Solving Partially Observable Stochastic Shortest-Path
Games.” 30th International Joint Conference on Artificial Intelligence,
International Joint Conferences on Artificial Intelligence, 2021, pp. 4182–89,
doi:10.24963/ijcai.2021/575.
short: P. Tomášek, K. Horák, A. Aradhye, B. Bošanský, K. Chatterjee, in:, 30th International
Joint Conference on Artificial Intelligence, International Joint Conferences on
Artificial Intelligence, 2021, pp. 4182–4189.
conference:
end_date: 2021-08-27
location: Virtual, Online
name: 'IJCAI: International Joint Conferences on Artificial Intelligence Organization'
start_date: 2021-08-19
date_created: 2022-03-13T23:01:47Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2022-08-05T09:05:06Z
day: '01'
department:
- _id: KrCh
doi: 10.24963/ijcai.2021/575
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.24963/ijcai.2021/575
month: '09'
oa: 1
oa_version: Published Version
page: 4182-4189
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 30th International Joint Conference on Artificial Intelligence
publication_identifier:
isbn:
- '9780999241196'
issn:
- 1045-0823
publication_status: published
publisher: International Joint Conferences on Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: Solving partially observable stochastic shortest-path games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '9296'
abstract:
- lang: eng
text: ' matching is compatible to two or more labeled point sets of size n with
labels {1,…,n} if its straight-line drawing on each of these point sets is
crossing-free. We study the maximum number of edges in a matching compatible to
two or more labeled point sets in general position in the plane. We show that
for any two labeled convex sets of n points there exists a compatible matching
with ⌊2n−−√⌋ edges. More generally, for any ℓ labeled point sets we construct
compatible matchings of size Ω(n1/ℓ) . As a corresponding upper bound, we use
probabilistic arguments to show that for any ℓ given sets of n points there
exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges.
Finally, we show that Θ(logn) copies of any set of n points are necessary and
sufficient for the existence of a labeling such that any compatible matching consists
only of a single edge.'
acknowledgement: 'A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411.
Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
(RiSE).'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Oswin
full_name: Aichholzer, Oswin
last_name: Aichholzer
- first_name: Alan M
full_name: Arroyo Guevara, Alan M
id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
last_name: Arroyo Guevara
orcid: 0000-0003-2401-8670
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
- first_name: Irene
full_name: Parada, Irene
last_name: Parada
- first_name: Daniel
full_name: Perz, Daniel
last_name: Perz
- first_name: Alexander
full_name: Pilz, Alexander
last_name: Pilz
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Birgit
full_name: Vogtenhuber, Birgit
last_name: Vogtenhuber
citation:
ama: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
In: 15th International Conference on Algorithms and Computation. Vol 12635.
Springer Nature; 2021:221-233. doi:10.1007/978-3-030-68211-8_18'
apa: 'Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In 15th International
Conference on Algorithms and Computation (Vol. 12635, pp. 221–233). Yangon,
Myanmar: Springer Nature. https://doi.org/10.1007/978-3-030-68211-8_18'
chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
Matchings.” In 15th International Conference on Algorithms and Computation,
12635:221–33. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-68211-8_18.
ieee: O. Aichholzer et al., “On compatible matchings,” in 15th International
Conference on Algorithms and Computation, Yangon, Myanmar, 2021, vol. 12635,
pp. 221–233.
ista: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference
on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol.
12635, 221–233.'
mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” 15th International
Conference on Algorithms and Computation, vol. 12635, Springer Nature, 2021,
pp. 221–33, doi:10.1007/978-3-030-68211-8_18.
short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and
Computation, Springer Nature, 2021, pp. 221–233.
conference:
end_date: 2021-03-02
location: Yangon, Myanmar
name: 'WALCOM: Algorithms and Computation'
start_date: 2021-02-28
date_created: 2021-03-28T22:01:41Z
date_published: 2021-02-16T00:00:00Z
date_updated: 2023-02-21T16:33:44Z
day: '16'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.1007/978-3-030-68211-8_18
ec_funded: 1
external_id:
arxiv:
- '2101.03928'
intvolume: ' 12635'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2101.03928
month: '02'
oa: 1
oa_version: Preprint
page: 221-233
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: 15th International Conference on Algorithms and Computation
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030682101'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11938'
relation: later_version
status: public
scopus_import: '1'
status: public
title: On compatible matchings
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 12635
year: '2021'
...
---
_id: '9403'
abstract:
- lang: eng
text: Optimal decision making requires individuals to know their available options
and to anticipate correctly what consequences these options have. In many social
interactions, however, we refrain from gathering all relevant information, even
if this information would help us make better decisions and is costless to obtain.
This chapter examines several examples of “deliberate ignorance.” Two simple models
are proposed to illustrate how ignorance can evolve among self-interested and
payoff - maximizing individuals, and open problems are highlighted that lie ahead
for future research to explore.
article_processing_charge: No
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Christian
full_name: Hilbe, Christian
last_name: Hilbe
citation:
ama: 'Schmid L, Hilbe C. The evolution of strategic ignorance in strategic interaction.
In: Hertwig R, Engel C, eds. Deliberate Ignorance: Choosing Not To Know.
Vol 29. Strüngmann Forum Reports. MIT Press; 2021:139-152.'
apa: 'Schmid, L., & Hilbe, C. (2021). The evolution of strategic ignorance in
strategic interaction. In R. Hertwig & C. Engel (Eds.), Deliberate Ignorance:
Choosing Not To Know (Vol. 29, pp. 139–152). MIT Press.'
chicago: 'Schmid, Laura, and Christian Hilbe. “The Evolution of Strategic Ignorance
in Strategic Interaction.” In Deliberate Ignorance: Choosing Not To Know,
edited by Ralph Hertwig and Christoph Engel, 29:139–52. Strüngmann Forum Reports.
MIT Press, 2021.'
ieee: 'L. Schmid and C. Hilbe, “The evolution of strategic ignorance in strategic
interaction,” in Deliberate Ignorance: Choosing Not To Know, vol. 29, R.
Hertwig and C. Engel, Eds. MIT Press, 2021, pp. 139–152.'
ista: 'Schmid L, Hilbe C. 2021.The evolution of strategic ignorance in strategic
interaction. In: Deliberate Ignorance: Choosing Not To Know. vol. 29, 139–152.'
mla: 'Schmid, Laura, and Christian Hilbe. “The Evolution of Strategic Ignorance
in Strategic Interaction.” Deliberate Ignorance: Choosing Not To Know,
edited by Ralph Hertwig and Christoph Engel, vol. 29, MIT Press, 2021, pp. 139–52.'
short: 'L. Schmid, C. Hilbe, in:, R. Hertwig, C. Engel (Eds.), Deliberate Ignorance:
Choosing Not To Know, MIT Press, 2021, pp. 139–152.'
date_created: 2021-05-19T12:25:42Z
date_published: 2021-03-01T00:00:00Z
date_updated: 2023-02-23T13:57:04Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
editor:
- first_name: Ralph
full_name: Hertwig, Ralph
last_name: Hertwig
- first_name: Christoph
full_name: Engel, Christoph
last_name: Engel
intvolume: ' 29'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://esforum.de/publications/PDFs/sfr29/SFR29_09_Hilbe%20and%20Schmid.pdf
month: '03'
oa: 1
oa_version: Published Version
page: 139-152
publication: 'Deliberate Ignorance: Choosing Not To Know'
publication_identifier:
isbn:
- 978-0-262-04559-9
publisher: MIT Press
quality_controlled: '1'
series_title: Strüngmann Forum Reports
status: public
title: The evolution of strategic ignorance in strategic interaction
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2021'
...
---
_id: '12767'
abstract:
- lang: eng
text: "Several problems in planning and reactive synthesis can be reduced to the
analysis of two-player quantitative graph games. Optimization is one form of analysis.
We argue that in many cases it may be better to replace the optimization problem
with the satisficing problem, where instead of searching for optimal solutions,
the goal is to search for solutions that adhere to a given threshold bound.\r\nThis
work defines and investigates the satisficing problem on a two-player graph game
with the discounted-sum cost model. We show that while the satisficing problem
can be solved using numerical methods just like the optimization problem, this
approach does not render compelling benefits over optimization. When the discount
factor is, however, an integer, we present another approach to satisficing, which
is purely based on automata methods. We show that this approach is algorithmically
more performant – both theoretically and empirically – and demonstrates the broader
applicability of satisficing over optimization."
acknowledgement: We thank anonymous reviewers for valuable inputs. This work is supported
in part by NSF grant 2030859 to the CRA for the CIFellows Project, NSF grants IIS-1527668,
CCF-1704883, IIS-1830549, the ERC CoG 863818 (ForM-SMArt), and an award from the
Maryland Procurement Office.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Suguman
full_name: Bansal, Suguman
last_name: Bansal
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Moshe Y.
full_name: Vardi, Moshe Y.
last_name: Vardi
citation:
ama: 'Bansal S, Chatterjee K, Vardi MY. On satisficing in quantitative games. In:
27th International Conference on Tools and Algorithms for the Construction
and Analysis of Systems. Vol 12651. Springer Nature; 2021:20-37. doi:10.1007/978-3-030-72016-2'
apa: 'Bansal, S., Chatterjee, K., & Vardi, M. Y. (2021). On satisficing in quantitative
games. In 27th International Conference on Tools and Algorithms for the Construction
and Analysis of Systems (Vol. 12651, pp. 20–37). Luxembourg City, Luxembourg:
Springer Nature. https://doi.org/10.1007/978-3-030-72016-2'
chicago: Bansal, Suguman, Krishnendu Chatterjee, and Moshe Y. Vardi. “On Satisficing
in Quantitative Games.” In 27th International Conference on Tools and Algorithms
for the Construction and Analysis of Systems, 12651:20–37. Springer Nature,
2021. https://doi.org/10.1007/978-3-030-72016-2.
ieee: S. Bansal, K. Chatterjee, and M. Y. Vardi, “On satisficing in quantitative
games,” in 27th International Conference on Tools and Algorithms for the Construction
and Analysis of Systems, Luxembourg City, Luxembourg, 2021, vol. 12651, pp.
20–37.
ista: 'Bansal S, Chatterjee K, Vardi MY. 2021. On satisficing in quantitative games.
27th International Conference on Tools and Algorithms for the Construction and
Analysis of Systems. TACAS: Tools and Algorithms for the Construction and Analysis
of Systems, LNCS, vol. 12651, 20–37.'
mla: Bansal, Suguman, et al. “On Satisficing in Quantitative Games.” 27th International
Conference on Tools and Algorithms for the Construction and Analysis of Systems,
vol. 12651, Springer Nature, 2021, pp. 20–37, doi:10.1007/978-3-030-72016-2.
short: S. Bansal, K. Chatterjee, M.Y. Vardi, in:, 27th International Conference
on Tools and Algorithms for the Construction and Analysis of Systems, Springer
Nature, 2021, pp. 20–37.
conference:
end_date: 2021-04-01
location: Luxembourg City, Luxembourg
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2021-03-27
date_created: 2023-03-26T22:01:09Z
date_published: 2021-03-21T00:00:00Z
date_updated: 2023-03-28T11:03:11Z
day: '21'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-72016-2
ec_funded: 1
external_id:
arxiv:
- '2101.02594'
file:
- access_level: open_access
checksum: b020b78b23587ce7610b1aafb4e63438
content_type: application/pdf
creator: dernst
date_created: 2023-03-28T11:00:33Z
date_updated: 2023-03-28T11:00:33Z
file_id: '12777'
file_name: 2021_LNCS_Bansal.pdf
file_size: 747418
relation: main_file
success: 1
file_date_updated: 2023-03-28T11:00:33Z
has_accepted_license: '1'
intvolume: ' 12651'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 20-37
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 27th International Conference on Tools and Algorithms for the Construction
and Analysis of Systems
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783030720155'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: On satisficing in quantitative games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12651
year: '2021'
...
---
_id: '10667'
abstract:
- lang: eng
text: Bayesian neural networks (BNNs) place distributions over the weights of a
neural network to model uncertainty in the data and the network's prediction.
We consider the problem of verifying safety when running a Bayesian neural network
policy in a feedback loop with infinite time horizon systems. Compared to the
existing sampling-based approaches, which are inapplicable to the infinite time
horizon setting, we train a separate deterministic neural network that serves
as an infinite time horizon safety certificate. In particular, we show that the
certificate network guarantees the safety of the system over a subset of the BNN
weight posterior's support. Our method first computes a safe weight set and then
alters the BNN's weight posterior to reject samples outside this set. Moreover,
we show how to extend our approach to a safe-exploration reinforcement learning
setting, in order to avoid unsafe trajectories during the training of the policy.
We evaluate our approach on a series of reinforcement learning benchmarks, including
non-Lyapunovian safety specifications.
acknowledgement: This research was supported in part by the Austrian Science Fund
(FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and
the European Union’s Horizon 2020 research and innovation programme under the Marie
Skłodowska-Curie Grant Agreement No. 665385.
alternative_title:
- ' Advances in Neural Information Processing Systems'
article_processing_charge: No
author:
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Ðorđe
full_name: Žikelić, Ðorđe
last_name: Žikelić
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
citation:
ama: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. Infinite time horizon safety
of Bayesian neural networks. In: 35th Conference on Neural Information Processing
Systems. ; 2021. doi:10.48550/arXiv.2111.03165'
apa: Lechner, M., Žikelić, Ð., Chatterjee, K., & Henzinger, T. A. (2021). Infinite
time horizon safety of Bayesian neural networks. In 35th Conference on Neural
Information Processing Systems. Virtual. https://doi.org/10.48550/arXiv.2111.03165
chicago: Lechner, Mathias, Ðorđe Žikelić, Krishnendu Chatterjee, and Thomas A Henzinger.
“Infinite Time Horizon Safety of Bayesian Neural Networks.” In 35th Conference
on Neural Information Processing Systems, 2021. https://doi.org/10.48550/arXiv.2111.03165.
ieee: M. Lechner, Ð. Žikelić, K. Chatterjee, and T. A. Henzinger, “Infinite time
horizon safety of Bayesian neural networks,” in 35th Conference on Neural Information
Processing Systems, Virtual, 2021.
ista: 'Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. 2021. Infinite time horizon
safety of Bayesian neural networks. 35th Conference on Neural Information Processing
Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information
Processing Systems, .'
mla: Lechner, Mathias, et al. “Infinite Time Horizon Safety of Bayesian Neural Networks.”
35th Conference on Neural Information Processing Systems, 2021, doi:10.48550/arXiv.2111.03165.
short: M. Lechner, Ð. Žikelić, K. Chatterjee, T.A. Henzinger, in:, 35th Conference
on Neural Information Processing Systems, 2021.
conference:
end_date: 2021-12-10
location: Virtual
name: 'NeurIPS: Neural Information Processing Systems'
start_date: 2021-12-06
date_created: 2022-01-25T15:45:58Z
date_published: 2021-12-01T00:00:00Z
date_updated: 2023-06-23T07:01:11Z
day: '01'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
- _id: KrCh
doi: 10.48550/arXiv.2111.03165
ec_funded: 1
external_id:
arxiv:
- '2111.03165'
file:
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checksum: 0fc0f852525c10dda9cc9ffea07fb4e4
content_type: application/pdf
creator: mlechner
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date_updated: 2022-01-26T07:39:59Z
file_id: '10682'
file_name: infinite_time_horizon_safety_o.pdf
file_size: 452492
relation: main_file
success: 1
file_date_updated: 2022-01-26T07:39:59Z
has_accepted_license: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/3.0/
main_file_link:
- open_access: '1'
url: https://proceedings.neurips.cc/paper/2021/hash/544defa9fddff50c53b71c43e0da72be-Abstract.html
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 35th Conference on Neural Information Processing Systems
publication_status: published
quality_controlled: '1'
related_material:
record:
- id: '11362'
relation: dissertation_contains
status: public
status: public
title: Infinite time horizon safety of Bayesian neural networks
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND
3.0)
short: CC BY-NC-ND (3.0)
type: conference
user_id: 2EBD1598-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '8793'
abstract:
- lang: eng
text: We study optimal election sequences for repeatedly selecting a (very) small
group of leaders among a set of participants (players) with publicly known unique
ids. In every time slot, every player has to select exactly one player that it
considers to be the current leader, oblivious to the selection of the other players,
but with the overarching goal of maximizing a given parameterized global (“social”)
payoff function in the limit. We consider a quite generic model, where the local
payoff achieved by a given player depends, weighted by some arbitrary but fixed
real parameter, on the number of different leaders chosen in a round, the number
of players that choose the given player as the leader, and whether the chosen
leader has changed w.r.t. the previous round or not. The social payoff can be
the maximum, average or minimum local payoff of the players. Possible applications
include quite diverse examples such as rotating coordinator-based distributed
algorithms and long-haul formation flying of social birds. Depending on the weights
and the particular social payoff, optimal sequences can be very different, from
simple round-robin where all players chose the same leader alternatingly every
time slot to very exotic patterns, where a small group of leaders (at most 2)
is elected in every time slot. Moreover, we study the question if and when a single
player would not benefit w.r.t. its local payoff when deviating from the given
optimal sequence, i.e., when our optimal sequences are Nash equilibria in the
restricted strategy space of oblivious strategies. As this is the case for many
parameterizations of our model, our results reveal that no punishment is needed
to make it rational for the players to optimize the social payoff.
acknowledgement: "We are grateful to Matthias Függer and Thomas Nowak for having raised
our interest in the problem studied in this paper.\r\nThis work has been supported
the Austrian Science Fund (FWF) projects S11405, S11407 (RiSE), and P28182 (ADynNet)."
article_processing_charge: No
article_type: original
author:
- first_name: Martin
full_name: Zeiner, Martin
last_name: Zeiner
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Zeiner M, Schmid U, Chatterjee K. Optimal strategies for selecting coordinators.
Discrete Applied Mathematics. 2021;289(1):392-415. doi:10.1016/j.dam.2020.10.022
apa: Zeiner, M., Schmid, U., & Chatterjee, K. (2021). Optimal strategies for
selecting coordinators. Discrete Applied Mathematics. Elsevier. https://doi.org/10.1016/j.dam.2020.10.022
chicago: Zeiner, Martin, Ulrich Schmid, and Krishnendu Chatterjee. “Optimal Strategies
for Selecting Coordinators.” Discrete Applied Mathematics. Elsevier, 2021.
https://doi.org/10.1016/j.dam.2020.10.022.
ieee: M. Zeiner, U. Schmid, and K. Chatterjee, “Optimal strategies for selecting
coordinators,” Discrete Applied Mathematics, vol. 289, no. 1. Elsevier,
pp. 392–415, 2021.
ista: Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators.
Discrete Applied Mathematics. 289(1), 392–415.
mla: Zeiner, Martin, et al. “Optimal Strategies for Selecting Coordinators.” Discrete
Applied Mathematics, vol. 289, no. 1, Elsevier, 2021, pp. 392–415, doi:10.1016/j.dam.2020.10.022.
short: M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021)
392–415.
date_created: 2020-11-22T23:01:26Z
date_published: 2021-01-31T00:00:00Z
date_updated: 2023-08-04T11:12:41Z
day: '31'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1016/j.dam.2020.10.022
external_id:
isi:
- '000596823800035'
file:
- access_level: open_access
checksum: f1039ff5a2d6ca116720efdb84ee9d5e
content_type: application/pdf
creator: dernst
date_created: 2021-02-04T11:28:42Z
date_updated: 2021-02-04T11:28:42Z
file_id: '9089'
file_name: 2021_DiscreteApplMath_Zeiner.pdf
file_size: 652739
relation: main_file
success: 1
file_date_updated: 2021-02-04T11:28:42Z
has_accepted_license: '1'
intvolume: ' 289'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 392-415
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Discrete Applied Mathematics
publication_identifier:
issn:
- 0166218X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal strategies for selecting coordinators
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 289
year: '2021'
...
---
_id: '9381'
abstract:
- lang: eng
text: 'A game of rock-paper-scissors is an interesting example of an interaction
where none of the pure strategies strictly dominates all others, leading to a
cyclic pattern. In this work, we consider an unstable version of rock-paper-scissors
dynamics and allow individuals to make behavioural mistakes during the strategy
execution. We show that such an assumption can break a cyclic relationship leading
to a stable equilibrium emerging with only one strategy surviving. We consider
two cases: completely random mistakes when individuals have no bias towards any
strategy and a general form of mistakes. Then, we determine conditions for a strategy
to dominate all other strategies. However, given that individuals who adopt a
dominating strategy are still prone to behavioural mistakes in the observed behaviour,
we may still observe extinct strategies. That is, behavioural mistakes in strategy
execution stabilise evolutionary dynamics leading to an evolutionary stable and,
potentially, mixed co-existence equilibrium.'
acknowledgement: Authors would like to thank Christian Hilbe and Martin Nowak for
their inspiring and very helpful feedback on the manuscript.
article_number: e1008523
article_processing_charge: No
article_type: original
author:
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Sabrina S.
full_name: Streipert, Sabrina S.
last_name: Streipert
- first_name: Jerzy A.
full_name: Filar, Jerzy A.
last_name: Filar
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. Mistakes can stabilise the
dynamics of rock-paper-scissors games. PLoS Computational Biology. 2021;17(4).
doi:10.1371/journal.pcbi.1008523
apa: Kleshnina, M., Streipert, S. S., Filar, J. A., & Chatterjee, K. (2021).
Mistakes can stabilise the dynamics of rock-paper-scissors games. PLoS Computational
Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1008523
chicago: Kleshnina, Maria, Sabrina S. Streipert, Jerzy A. Filar, and Krishnendu
Chatterjee. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors Games.”
PLoS Computational Biology. Public Library of Science, 2021. https://doi.org/10.1371/journal.pcbi.1008523.
ieee: M. Kleshnina, S. S. Streipert, J. A. Filar, and K. Chatterjee, “Mistakes can
stabilise the dynamics of rock-paper-scissors games,” PLoS Computational Biology,
vol. 17, no. 4. Public Library of Science, 2021.
ista: Kleshnina M, Streipert SS, Filar JA, Chatterjee K. 2021. Mistakes can stabilise
the dynamics of rock-paper-scissors games. PLoS Computational Biology. 17(4),
e1008523.
mla: Kleshnina, Maria, et al. “Mistakes Can Stabilise the Dynamics of Rock-Paper-Scissors
Games.” PLoS Computational Biology, vol. 17, no. 4, e1008523, Public Library
of Science, 2021, doi:10.1371/journal.pcbi.1008523.
short: M. Kleshnina, S.S. Streipert, J.A. Filar, K. Chatterjee, PLoS Computational
Biology 17 (2021).
date_created: 2021-05-09T22:01:38Z
date_published: 2021-04-01T00:00:00Z
date_updated: 2023-08-08T13:31:08Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1008523
ec_funded: 1
external_id:
isi:
- '000639711200001'
file:
- access_level: open_access
checksum: a94ebe0c4116f5047eaa6029e54d2dac
content_type: application/pdf
creator: kschuh
date_created: 2021-05-11T13:50:06Z
date_updated: 2021-05-11T13:50:06Z
file_id: '9385'
file_name: 2021_pcbi_Kleshnina.pdf
file_size: 1323820
relation: main_file
success: 1
file_date_updated: 2021-05-11T13:50:06Z
has_accepted_license: '1'
intvolume: ' 17'
isi: 1
issue: '4'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: PLoS Computational Biology
publication_identifier:
eissn:
- '15537358'
issn:
- 1553734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mistakes can stabilise the dynamics of rock-paper-scissors games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 17
year: '2021'
...
---
_id: '9640'
abstract:
- lang: eng
text: 'Selection and random drift determine the probability that novel mutations
fixate in a population. Population structure is known to affect the dynamics of
the evolutionary process. Amplifiers of selection are population structures that
increase the fixation probability of beneficial mutants compared to well-mixed
populations. Over the past 15 years, extensive research has produced remarkable
structures called strong amplifiers which guarantee that every beneficial mutation
fixates with high probability. But strong amplification has come at the cost of
considerably delaying the fixation event, which can slow down the overall rate
of evolution. However, the precise relationship between fixation probability and
time has remained elusive. Here we characterize the slowdown effect of strong
amplification. First, we prove that all strong amplifiers must delay the fixation
event at least to some extent. Second, we construct strong amplifiers that delay
the fixation event only marginally as compared to the well-mixed populations.
Our results thus establish a tight relationship between fixation probability and
time: Strong amplification always comes at a cost of a slowdown, but more than
a marginal slowdown is not needed.'
acknowledgement: 'K.C. acknowledges support from ERC Start grant no. (279307: Graph
Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF)
grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office
of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.'
article_number: '4009'
article_processing_charge: No
article_type: original
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers
of natural selection. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-24271-w
apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2021). Fast
and strong amplifiers of natural selection. Nature Communications. Springer
Nature. https://doi.org/10.1038/s41467-021-24271-w
chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications.
Springer Nature, 2021. https://doi.org/10.1038/s41467-021-24271-w.
ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong
amplifiers of natural selection,” Nature Communications, vol. 12, no. 1.
Springer Nature, 2021.
ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers
of natural selection. Nature Communications. 12(1), 4009.
mla: Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” Nature
Communications, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:10.1038/s41467-021-24271-w.
short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications
12 (2021).
date_created: 2021-07-11T22:01:15Z
date_published: 2021-06-29T00:00:00Z
date_updated: 2023-08-10T14:05:09Z
day: '29'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1038/s41467-021-24271-w
ec_funded: 1
external_id:
isi:
- '000671752100003'
pmid:
- '34188036'
file:
- access_level: open_access
checksum: 5767418926a7f7fb76151de29473dae0
content_type: application/pdf
creator: cziletti
date_created: 2021-07-19T13:02:20Z
date_updated: 2021-07-19T13:02:20Z
file_id: '9692'
file_name: 2021_NatCoom_Tkadlec.pdf
file_size: 628992
relation: main_file
success: 1
file_date_updated: 2021-07-19T13:02:20Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
issue: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Nature Communications
publication_identifier:
eissn:
- '20411723'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fast and strong amplifiers of natural selection
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2021'
...
---
_id: '9646'
abstract:
- lang: eng
text: We consider the fundamental problem of deriving quantitative bounds on the
probability that a given assertion is violated in a probabilistic program. We
provide automated algorithms that obtain both lower and upper bounds on the assertion
violation probability. The main novelty of our approach is that we prove new and
dedicated fixed-point theorems which serve as the theoretical basis of our algorithms
and enable us to reason about assertion violation bounds in terms of pre and post
fixed-point functions. To synthesize such fixed-points, we devise algorithms that
utilize a wide range of mathematical tools, including repulsing ranking supermartingales,
Hoeffding's lemma, Minkowski decompositions, Jensen's inequality, and convex optimization.
On the theoretical side, we provide (i) the first automated algorithm for lower-bounds
on assertion violation probabilities, (ii) the first complete algorithm for upper-bounds
of exponential form in affine programs, and (iii) provably and significantly tighter
upper-bounds than the previous approaches. On the practical side, we show our
algorithms can handle a wide variety of programs from the literature and synthesize
bounds that are remarkably tighter than previous results, in some cases by thousands
of orders of magnitude.
acknowledgement: 'We are very thankful to the anonymous reviewers for the helpful
and valuable comments. The work was partially supported by the National Natural
Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research
Program, the ERC CoG 863818 (ForM-SMArt), the Facebook PhD Fellowship Program and
DOC Fellowship #24956 of the Austrian Academy of Sciences (ÖAW).'
article_processing_charge: No
author:
- first_name: Jinyi
full_name: Wang, Jinyi
last_name: Wang
- first_name: Yican
full_name: Sun, Yican
last_name: Sun
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. Quantitative analysis of
assertion violations in probabilistic programs. In: Proceedings of the 42nd
ACM SIGPLAN International Conference on Programming Language Design and Implementation.
Association for Computing Machinery; 2021:1171-1186. doi:10.1145/3453483.3454102'
apa: 'Wang, J., Sun, Y., Fu, H., Chatterjee, K., & Goharshady, A. K. (2021).
Quantitative analysis of assertion violations in probabilistic programs. In Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation (pp. 1171–1186). Online: Association for Computing Machinery.
https://doi.org/10.1145/3453483.3454102'
chicago: Wang, Jinyi, Yican Sun, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar
Goharshady. “Quantitative Analysis of Assertion Violations in Probabilistic Programs.”
In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, 1171–86. Association for Computing Machinery,
2021. https://doi.org/10.1145/3453483.3454102.
ieee: J. Wang, Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Quantitative
analysis of assertion violations in probabilistic programs,” in Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Online, 2021, pp. 1171–1186.
ista: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. 2021. Quantitative analysis
of assertion violations in probabilistic programs. Proceedings of the 42nd ACM
SIGPLAN International Conference on Programming Language Design and Implementation.
PLDI: Programming Language Design and Implementation, 1171–1186.'
mla: Wang, Jinyi, et al. “Quantitative Analysis of Assertion Violations in Probabilistic
Programs.” Proceedings of the 42nd ACM SIGPLAN International Conference on
Programming Language Design and Implementation, Association for Computing
Machinery, 2021, pp. 1171–86, doi:10.1145/3453483.3454102.
short: J. Wang, Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 1171–1186.
conference:
end_date: 2021-06-26
location: Online
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2021-06-20
date_created: 2021-07-11T22:01:18Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2023-08-10T14:14:08Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454102
ec_funded: 1
external_id:
arxiv:
- '2011.14617'
isi:
- '000723661700076'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2011.14617
month: '06'
oa: 1
oa_version: Preprint
page: 1171-1186
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative analysis of assertion violations in probabilistic programs
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '9645'
abstract:
- lang: eng
text: "We consider the fundamental problem of reachability analysis over imperative
programs with real variables. Previous works that tackle reachability are either
unable to handle programs consisting of general loops (e.g. symbolic execution),
or lack completeness guarantees (e.g. abstract interpretation), or are not automated
(e.g. incorrectness logic). In contrast, we propose a novel approach for reachability
analysis that can handle general and complex loops, is complete, and can be entirely
automated for a wide family of programs. Through the notion of Inductive Reachability
Witnesses (IRWs), our approach extends ideas from both invariant generation and
termination to reachability analysis.\r\n\r\nWe first show that our IRW-based
approach is sound and complete for reachability analysis of imperative programs.
Then, we focus on linear and polynomial programs and develop automated methods
for synthesizing linear and polynomial IRWs. In the linear case, we follow the
well-known approaches using Farkas' Lemma. Our main contribution is in the polynomial
case, where we present a push-button semi-complete algorithm. We achieve this
using a novel combination of classical theorems in real algebraic geometry, such
as Putinar's Positivstellensatz and Hilbert's Strong Nullstellensatz. Finally,
our experimental results show we can prove complex reachability objectives over
various benchmarks that were beyond the reach of previous methods."
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the
Huawei Innovation Research Program, the Facebook PhD Fellowship Program, and DOC
Fellowship No. 24956 of the Austrian Academy of Sciences (ÖAW).
article_processing_charge: No
author:
- first_name: Ali
full_name: Asadi, Ali
last_name: Asadi
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Mohammad
full_name: Mahdavi, Mohammad
last_name: Mahdavi
citation:
ama: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. Polynomial reachability
witnesses via Stellensätze. In: Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation. Association
for Computing Machinery; 2021:772-787. doi:10.1145/3453483.3454076'
apa: 'Asadi, A., Chatterjee, K., Fu, H., Goharshady, A. K., & Mahdavi, M. (2021).
Polynomial reachability witnesses via Stellensätze. In Proceedings of the 42nd
ACM SIGPLAN International Conference on Programming Language Design and Implementation
(pp. 772–787). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454076'
chicago: Asadi, Ali, Krishnendu Chatterjee, Hongfei Fu, Amir Kafshdar Goharshady,
and Mohammad Mahdavi. “Polynomial Reachability Witnesses via Stellensätze.” In
Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, 772–87. Association for Computing Machinery,
2021. https://doi.org/10.1145/3453483.3454076.
ieee: A. Asadi, K. Chatterjee, H. Fu, A. K. Goharshady, and M. Mahdavi, “Polynomial
reachability witnesses via Stellensätze,” in Proceedings of the 42nd ACM SIGPLAN
International Conference on Programming Language Design and Implementation,
Online, 2021, pp. 772–787.
ista: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. 2021. Polynomial reachability
witnesses via Stellensätze. Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation. PLDI: Programming
Language Design and Implementation, 772–787.'
mla: Asadi, Ali, et al. “Polynomial Reachability Witnesses via Stellensätze.” Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 772–87,
doi:10.1145/3453483.3454076.
short: A. Asadi, K. Chatterjee, H. Fu, A.K. Goharshady, M. Mahdavi, in:, Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 772–787.
conference:
end_date: 2021-06-26
location: Online
name: ' PLDI: Programming Language Design and Implementation'
start_date: 2021-06-20
date_created: 2021-07-11T22:01:17Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2023-08-10T14:13:39Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454076
ec_funded: 1
external_id:
isi:
- '000723661700050'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-03183862/
month: '06'
oa: 1
oa_version: Submitted Version
page: 772-787
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Polynomial reachability witnesses via Stellensätze
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
text: 'We present a faster symbolic algorithm for the following central problem
in probabilistic verification: Compute the maximal end-component (MEC) decomposition
of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
algorithms is widely used in formal verification and model-checking, where access
to the input model is restricted to only symbolic operations (e.g., basic set
operations and computation of one-step neighborhood). For an input MDP with n vertices
and m edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
requires O(n2) symbolic operations and O(1) symbolic space. The only other
symbolic algorithm for the MEC decomposition requires O(nm−−√) symbolic operations
and O(m−−√) symbolic space. A main open question is whether the worst-case O(n2) bound
for symbolic operations can be beaten. We present a symbolic algorithm that requires O˜(n1.5) symbolic
operations and O˜(n−−√) symbolic space. Moreover, the parametrization of our
algorithm provides a trade-off between symbolic operations and symbolic space:
for all 0<ϵ≤1/2 the symbolic algorithm requires O˜(n2−ϵ) symbolic operations
and O˜(nϵ) symbolic space ( O˜ hides poly-logarithmic factors). Using our techniques
we present faster algorithms for computing the almost-sure winning regions of ω
-regular objectives for MDPs. We consider the canonical parity objectives for ω
-regular objectives, and for parity objectives with d -priorities we present
an algorithm that computes the almost-sure winning region with O˜(n2−ϵ) symbolic
operations and O˜(nϵ) symbolic space, for all 0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
M. H. the research leading to these results has received funding from the European
Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
/ ERC Grant Agreement no. 340506.
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Wolfgang
full_name: Dvorak, Wolfgang
last_name: Dvorak
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. Symbolic time and space tradeoffs
for probabilistic verification. In: Proceedings of the 36th Annual ACM/IEEE
Symposium on Logic in Computer Science. Institute of Electrical and Electronics
Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470739'
apa: 'Chatterjee, K., Dvorak, W., Henzinger, M. H., & Svozil, A. (2021). Symbolic
time and space tradeoffs for probabilistic verification. In Proceedings of
the 36th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 1–13).
Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470739'
chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika H Henzinger, and Alexander
Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science,
1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470739.
ieee: K. Chatterjee, W. Dvorak, M. H. Henzinger, and A. Svozil, “Symbolic time and
space tradeoffs for probabilistic verification,” in Proceedings of the 36th
Annual ACM/IEEE Symposium on Logic in Computer Science, Rome, Italy, 2021,
pp. 1–13.
ista: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. 2021. Symbolic time and space
tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science,
1–13.'
mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
Verification.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
Computer Science, Institute of Electrical and Electronics Engineers, 2021,
pp. 1–13, doi:10.1109/LICS52264.2021.9470739.
short: K. Chatterjee, W. Dvorak, M.H. Henzinger, A. Svozil, in:, Proceedings of
the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of
Electrical and Electronics Engineers, 2021, pp. 1–13.
conference:
end_date: 2021-07-02
location: Rome, Italy
name: 'LICS: Symposium on Logic in Computer Science'
start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2023-08-14T06:51:33Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
arxiv:
- '2104.07466'
isi:
- '000947350400089'
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
Science
publication_identifier:
eisbn:
- 978-1-6654-4895-6
isbn:
- 978-1-6654-4896-3
issn:
- 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10004'
abstract:
- lang: eng
text: 'Markov chains are the de facto finite-state model for stochastic dynamical
systems, and Markov decision processes (MDPs) extend Markov chains by incorporating
non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization
criterion is the maximal expected total reward where the MDP stops after T steps,
which can be computed by a simple dynamic programming algorithm. We consider a
natural generalization of the problem where the stopping times can be chosen according
to a probability distribution, such that the expected stopping time is T, to optimize
the expected total reward. Quite surprisingly we establish inter-reducibility
of the expected stopping-time problem for Markov chains with the Positivity problem
(which is related to the well-known Skolem problem), for which establishing either
decidability or undecidability would be a major breakthrough. Given the hardness
of the exact problem, we consider the approximate version of the problem: we show
that it can be solved in exponential time for Markov chains and in exponential
space for MDPs.'
acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a
previous version of this paper for insightful comments that helped improving the
presentation. This research was partially supported by the grant ERC CoG 863818
(ForM-SMArt).
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In:
Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
Institute of Electrical and Electronics Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470595'
apa: 'Chatterjee, K., & Doyen, L. (2021). Stochastic processes with expected
stopping time. In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
in Computer Science (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics
Engineers. https://doi.org/10.1109/LICS52264.2021.9470595'
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
Stopping Time.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
in Computer Science, 1–13. Institute of Electrical and Electronics Engineers,
2021. https://doi.org/10.1109/LICS52264.2021.9470595.
ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,”
in Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science,
Rome, Italy, 2021, pp. 1–13.
ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping
time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science.
LICS: Symposium on Logic in Computer Science, 1–13.'
mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected
Stopping Time.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic
in Computer Science, Institute of Electrical and Electronics Engineers, 2021,
pp. 1–13, doi:10.1109/LICS52264.2021.9470595.
short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium
on Logic in Computer Science, Institute of Electrical and Electronics Engineers,
2021, pp. 1–13.
conference:
end_date: 2021-07-02
location: Rome, Italy
name: 'LICS: Symposium on Logic in Computer Science'
start_date: 2021-06-29
date_created: 2021-09-12T22:01:25Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2023-08-14T06:52:07Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470595
ec_funded: 1
external_id:
arxiv:
- '2104.07278'
isi:
- '000947350400036'
isi: 1
keyword:
- Computer science
- Heuristic algorithms
- Memory management
- Automata
- Markov processes
- Probability distribution
- Complexity theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2104.07278
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
Science
publication_identifier:
eisbn:
- 978-1-6654-4895-6
isbn:
- 978-1-6654-4896-3
issn:
- 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stochastic processes with expected stopping time
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10055'
abstract:
- lang: eng
text: "Repeated idempotent elements are commonly used to characterise iterable behaviours
in abstract models of computation. Therefore, given a monoid M, it is natural
to ask how long a sequence of elements of M needs to be to ensure the presence
of consecutive idempotent factors. This question is formalised through the notion
of the Ramsey function R_M associated to M, obtained by mapping every k ∈ ℕ to
the minimal integer R_M(k) such that every word u ∈ M^* of length R_M(k) contains
k consecutive non-empty factors that correspond to the same idempotent element
of M. In this work, we study the behaviour of the Ramsey function R_M by investigating
the regular \U0001D49F-length of M, defined as the largest size L(M) of a submonoid
of M isomorphic to the set of natural numbers {1,2, …, L(M)} equipped with the
max operation. We show that the regular \U0001D49F-length of M determines the
degree of R_M, by proving that k^L(M) ≤ R_M(k) ≤ (k|M|⁴)^L(M). To allow applications
of this result, we provide the value of the regular \U0001D49F-length of diverse
monoids. In particular, we prove that the full monoid of n × n Boolean matrices,
which is used to express transition monoids of non-deterministic automata, has
a regular \U0001D49F-length of (n²+n+2)/2."
acknowledgement: This project has received funding from the European Union’s Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
No. 754411. I wish to thank Michaël Cadilhac, Emmanuel Filiot and Charles Paperman
for their valuable insights concerning Green’s relations.
alternative_title:
- LIPIcs
article_number: '44'
article_processing_charge: No
author:
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
citation:
ama: 'Jecker IR. A Ramsey theorem for finite monoids. In: 38th International
Symposium on Theoretical Aspects of Computer Science. Vol 187. Schloss Dagstuhl
- Leibniz Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.STACS.2021.44'
apa: 'Jecker, I. R. (2021). A Ramsey theorem for finite monoids. In 38th International
Symposium on Theoretical Aspects of Computer Science (Vol. 187). Saarbrücken,
Germany: Schloss Dagstuhl - Leibniz Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.STACS.2021.44'
chicago: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” In 38th International
Symposium on Theoretical Aspects of Computer Science, Vol. 187. Schloss Dagstuhl
- Leibniz Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.STACS.2021.44.
ieee: I. R. Jecker, “A Ramsey theorem for finite monoids,” in 38th International
Symposium on Theoretical Aspects of Computer Science, Saarbrücken, Germany,
2021, vol. 187.
ista: 'Jecker IR. 2021. A Ramsey theorem for finite monoids. 38th International
Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical
Aspects of Computer Science, LIPIcs, vol. 187, 44.'
mla: Jecker, Ismael R. “A Ramsey Theorem for Finite Monoids.” 38th International
Symposium on Theoretical Aspects of Computer Science, vol. 187, 44, Schloss
Dagstuhl - Leibniz Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.STACS.2021.44.
short: I.R. Jecker, in:, 38th International Symposium on Theoretical Aspects of
Computer Science, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021.
conference:
end_date: 2021-03-19
location: Saarbrücken, Germany
name: 'STACS: Symposium on Theoretical Aspects of Computer Science'
start_date: 2021-03-16
date_created: 2021-09-27T14:33:15Z
date_published: 2021-03-10T00:00:00Z
date_updated: 2023-08-14T07:03:23Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.STACS.2021.44
ec_funded: 1
external_id:
isi:
- '000635691700044'
file:
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checksum: 17432a05733f408de300e17e390a90e4
content_type: application/pdf
creator: cchlebak
date_created: 2021-10-01T09:55:00Z
date_updated: 2021-10-01T09:55:00Z
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file_name: 2021_LIPIcs_Jecker.pdf
file_size: 720250
relation: main_file
success: 1
file_date_updated: 2021-10-01T09:55:00Z
has_accepted_license: '1'
intvolume: ' 187'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 38th International Symposium on Theoretical Aspects of Computer Science
publication_identifier:
isbn:
- 978-3-9597-7180-1
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: A Ramsey theorem for finite monoids
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 187
year: '2021'
...
---
_id: '9987'
abstract:
- lang: eng
text: 'Stateless model checking (SMC) is one of the standard approaches to the verification
of concurrent programs. As scheduling non-determinism creates exponentially large
spaces of thread interleavings, SMC attempts to partition this space into equivalence
classes and explore only a few representatives from each class. The efficiency
of this approach depends on two factors: (a) the coarseness of the partitioning,
and (b) the time to generate representatives in each class. For this reason, the
search for coarse partitionings that are efficiently explorable is an active research
challenge. In this work we present RVF-SMC , a new SMC algorithm that uses a
novel reads-value-from (RVF) partitioning. Intuitively, two interleavings are
deemed equivalent if they agree on the value obtained in each read event, and
read events induce consistent causal orderings between them. The RVF partitioning
is provably coarser than recent approaches based on Mazurkiewicz and “reads-from”
partitionings. Our experimental evaluation reveals that RVF is quite often a very
effective equivalence, as the underlying partitioning is exponentially coarser
than other approaches. Moreover, RVF-SMC generates representatives very efficiently,
as the reduction in the partitioning is often met with significant speed-ups in
the model checking task.'
acknowledgement: The research was partially funded by the ERC CoG 863818 (ForM-SMArt)
and the Vienna Science and Technology Fund (WWTF) through project ICT15-003.
alternative_title:
- LNCS
article_processing_charge: Yes
author:
- first_name: Pratyush
full_name: Agarwal, Pratyush
last_name: Agarwal
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Shreya
full_name: Pathak, Shreya
last_name: Pathak
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. Stateless model
checking under a reads-value-from equivalence. In: 33rd International Conference
on Computer-Aided Verification . Vol 12759. Springer Nature; 2021:341-366.
doi:10.1007/978-3-030-81685-8_16'
apa: 'Agarwal, P., Chatterjee, K., Pathak, S., Pavlogiannis, A., & Toman, V.
(2021). Stateless model checking under a reads-value-from equivalence. In 33rd
International Conference on Computer-Aided Verification (Vol. 12759, pp.
341–366). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-81685-8_16'
chicago: Agarwal, Pratyush, Krishnendu Chatterjee, Shreya Pathak, Andreas Pavlogiannis,
and Viktor Toman. “Stateless Model Checking under a Reads-Value-from Equivalence.”
In 33rd International Conference on Computer-Aided Verification , 12759:341–66.
Springer Nature, 2021. https://doi.org/10.1007/978-3-030-81685-8_16.
ieee: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, and V. Toman, “Stateless
model checking under a reads-value-from equivalence,” in 33rd International
Conference on Computer-Aided Verification , Virtual, 2021, vol. 12759, pp.
341–366.
ista: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. 2021. Stateless
model checking under a reads-value-from equivalence. 33rd International Conference
on Computer-Aided Verification . CAV: Computer Aided Verification , LNCS, vol.
12759, 341–366.'
mla: Agarwal, Pratyush, et al. “Stateless Model Checking under a Reads-Value-from
Equivalence.” 33rd International Conference on Computer-Aided Verification
, vol. 12759, Springer Nature, 2021, pp. 341–66, doi:10.1007/978-3-030-81685-8_16.
short: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, V. Toman, in:, 33rd
International Conference on Computer-Aided Verification , Springer Nature, 2021,
pp. 341–366.
conference:
end_date: 2021-07-23
location: Virtual
name: 'CAV: Computer Aided Verification '
start_date: 2021-07-20
date_created: 2021-09-05T22:01:24Z
date_published: 2021-07-15T00:00:00Z
date_updated: 2023-09-07T13:30:27Z
day: '15'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-81685-8_16
ec_funded: 1
external_id:
arxiv:
- '2105.06424'
isi:
- '000698732400016'
file:
- access_level: open_access
checksum: 4b346e5fbaa8b9bdf107819c7b2aadee
content_type: application/pdf
creator: dernst
date_created: 2022-05-13T07:00:20Z
date_updated: 2022-05-13T07:00:20Z
file_id: '11368'
file_name: 2021_LNCS_Agarwal.pdf
file_size: 1516756
relation: main_file
success: 1
file_date_updated: 2022-05-13T07:00:20Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 341-366
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: '33rd International Conference on Computer-Aided Verification '
publication_identifier:
eisbn:
- 978-3-030-81685-8
eissn:
- 1611-3349
isbn:
- 978-3-030-81684-1
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '10199'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stateless model checking under a reads-value-from equivalence
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: '12759 '
year: '2021'
...
---
_id: '10191'
abstract:
- lang: eng
text: "In this work we solve the algorithmic problem of consistency verification
for the TSO and PSO memory models given a reads-from map, denoted VTSO-rf and
VPSO-rf, respectively. For an execution of n events over k threads and d variables,
we establish novel bounds that scale as nk+1 for TSO and as nk+1· min(nk2, 2k·
d) for PSO. Moreover, based on our solution to these problems, we develop an SMC
algorithm under TSO and PSO that uses the RF equivalence. The algorithm is exploration-optimal,
in the sense that it is guaranteed to explore each class of the RF partitioning
exactly once, and spends polynomial time per class when k is bounded. Finally,
we implement all our algorithms in the SMC tool Nidhugg, and perform a large number
of experiments over benchmarks from existing literature. Our experimental results
show that our algorithms for VTSO-rf and VPSO-rf provide significant scalability
improvements over standard alternatives. Moreover, when used for SMC, the RF partitioning
is often much coarser than the standard Shasha-Snir partitioning for TSO/PSO,
which yields a significant speedup in the model checking task.\r\n\r\n"
acknowledgement: "The research was partially funded by the ERC CoG 863818 (ForM-SMArt)
and the Vienna Science\r\nand Technology Fund (WWTF) through project ICT15-003."
article_number: '164'
article_processing_charge: No
article_type: original
author:
- first_name: Truc Lam
full_name: Bui, Truc Lam
last_name: Bui
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Tushar
full_name: Gautam, Tushar
last_name: Gautam
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. The reads-from equivalence
for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages.
2021;5(OOPSLA). doi:10.1145/3485541
apa: Bui, T. L., Chatterjee, K., Gautam, T., Pavlogiannis, A., & Toman, V. (2021).
The reads-from equivalence for the TSO and PSO memory models. Proceedings of
the ACM on Programming Languages. Association for Computing Machinery. https://doi.org/10.1145/3485541
chicago: Bui, Truc Lam, Krishnendu Chatterjee, Tushar Gautam, Andreas Pavlogiannis,
and Viktor Toman. “The Reads-from Equivalence for the TSO and PSO Memory Models.”
Proceedings of the ACM on Programming Languages. Association for Computing
Machinery, 2021. https://doi.org/10.1145/3485541.
ieee: T. L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, and V. Toman, “The reads-from
equivalence for the TSO and PSO memory models,” Proceedings of the ACM on Programming
Languages, vol. 5, no. OOPSLA. Association for Computing Machinery, 2021.
ista: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. 2021. The reads-from
equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming
Languages. 5(OOPSLA), 164.
mla: Bui, Truc Lam, et al. “The Reads-from Equivalence for the TSO and PSO Memory
Models.” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA,
164, Association for Computing Machinery, 2021, doi:10.1145/3485541.
short: T.L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, V. Toman, Proceedings
of the ACM on Programming Languages 5 (2021).
date_created: 2021-10-27T15:05:34Z
date_published: 2021-10-15T00:00:00Z
date_updated: 2023-09-07T13:30:27Z
day: '15'
ddc:
- '000'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1145/3485541
ec_funded: 1
external_id:
arxiv:
- '2011.11763'
file:
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checksum: 9d6dce7b611853c529bb7b1915ac579e
content_type: application/pdf
creator: cchlebak
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date_updated: 2021-11-04T07:24:48Z
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file_name: 2021_ProcACMPL_Bui.pdf
file_size: 2903485
relation: main_file
success: 1
file_date_updated: 2021-11-04T07:24:48Z
has_accepted_license: '1'
intvolume: ' 5'
issue: OOPSLA
keyword:
- safety
- risk
- reliability and quality
- software
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The reads-from equivalence for the TSO and PSO memory models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 5
year: '2021'
...
---
_id: '10199'
abstract:
- lang: eng
text: The design and verification of concurrent systems remains an open challenge
due to the non-determinism that arises from the inter-process communication. In
particular, concurrent programs are notoriously difficult both to be written correctly
and to be analyzed formally, as complex thread interaction has to be accounted
for. The difficulties are further exacerbated when concurrent programs get executed
on modern-day hardware, which contains various buffering and caching mechanisms
for efficiency reasons. This causes further subtle non-determinism, which can
often produce very unintuitive behavior of the concurrent programs. Model checking
is at the forefront of tackling the verification problem, where the task is to
decide, given as input a concurrent system and a desired property, whether the
system satisfies the property. The inherent state-space explosion problem in model
checking of concurrent systems causes naïve explicit methods not to scale, thus
more inventive methods are required. One such method is stateless model checking
(SMC), which explores in memory-efficient manner the program executions rather
than the states of the program. State-of-the-art SMC is typically coupled with
partial order reduction (POR) techniques, which argue that certain executions
provably produce identical system behavior, thus limiting the amount of executions
one needs to explore in order to cover all possible behaviors. Another method
to tackle the state-space explosion is symbolic model checking, where the considered
techniques operate on a succinct implicit representation of the input system rather
than explicitly accessing the system. In this thesis we present new techniques
for verification of concurrent systems. We present several novel POR methods for
SMC of concurrent programs under various models of semantics, some of which account
for write-buffering mechanisms. Additionally, we present novel algorithms for
symbolic model checking of finite-state concurrent systems, where the desired
property of the systems is to ensure a formally defined notion of fairness.
acknowledged_ssus:
- _id: SSU
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: Toman V. Improved verification techniques for concurrent systems. 2021. doi:10.15479/at:ista:10199
apa: Toman, V. (2021). Improved verification techniques for concurrent systems.
Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10199
chicago: Toman, Viktor. “Improved Verification Techniques for Concurrent Systems.”
Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10199.
ieee: V. Toman, “Improved verification techniques for concurrent systems,” Institute
of Science and Technology Austria, 2021.
ista: Toman V. 2021. Improved verification techniques for concurrent systems. Institute
of Science and Technology Austria.
mla: Toman, Viktor. Improved Verification Techniques for Concurrent Systems.
Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10199.
short: V. Toman, Improved Verification Techniques for Concurrent Systems, Institute
of Science and Technology Austria, 2021.
date_created: 2021-10-29T20:09:01Z
date_published: 2021-10-31T00:00:00Z
date_updated: 2023-09-19T09:59:54Z
day: '31'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: GradSch
- _id: KrCh
doi: 10.15479/at:ista:10199
ec_funded: 1
file:
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checksum: 4f412a1ee60952221b499a4b1268df35
content_type: application/pdf
creator: vtoman
date_created: 2021-11-08T14:12:22Z
date_updated: 2021-11-08T14:12:22Z
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file_name: toman_th_final.pdf
file_size: 2915234
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content_type: application/zip
creator: vtoman
date_created: 2021-11-08T14:12:46Z
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file_name: toman_thesis.zip
file_size: 8616056
relation: source_file
file_date_updated: 2021-11-09T09:00:50Z
has_accepted_license: '1'
keyword:
- concurrency
- verification
- model checking
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '166'
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '10190'
relation: part_of_dissertation
status: public
- id: '10191'
relation: part_of_dissertation
status: public
- id: '9987'
relation: part_of_dissertation
status: public
- id: '141'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Improved verification techniques for concurrent systems
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '9293'
abstract:
- lang: eng
text: 'We consider planning problems for graphs, Markov Decision Processes (MDPs),
and games on graphs in an explicit state space. While graphs represent the most
basic planning model, MDPs represent interaction with nature and games on graphs
represent interaction with an adversarial environment. We consider two planning
problems with k different target sets: (a) the coverage problem asks whether there
is a plan for each individual target set; and (b) the sequential target reachability
problem asks whether the targets can be reached in a given sequence. For the coverage
problem, we present a linear-time algorithm for graphs, and quadratic conditional
lower bound for MDPs and games on graphs. For the sequential target problem, we
present a linear-time algorithm for graphs, a sub-quadratic algorithm for MDPs,
and a quadratic conditional lower bound for games on graphs. Our results with
conditional lower bounds, based on the boolean matrix multiplication (BMM) conjecture
and strong exponential time hypothesis (SETH), establish (i) model-separation
results showing that for the coverage problem MDPs and games on graphs are harder
than graphs, and for the sequential reachability problem games on graphs are harder
than MDPs and graphs; and (ii) problem-separation results showing that for MDPs
the coverage problem is harder than the sequential target problem.'
article_number: '103499'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Wolfgang
full_name: Dvořák, Wolfgang
last_name: Dvořák
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: Chatterjee K, Dvořák W, Henzinger MH, Svozil A. Algorithms and conditional
lower bounds for planning problems. Artificial Intelligence. 2021;297(8).
doi:10.1016/j.artint.2021.103499
apa: Chatterjee, K., Dvořák, W., Henzinger, M. H., & Svozil, A. (2021). Algorithms
and conditional lower bounds for planning problems. Artificial Intelligence.
Elsevier. https://doi.org/10.1016/j.artint.2021.103499
chicago: Chatterjee, Krishnendu, Wolfgang Dvořák, Monika H Henzinger, and Alexander
Svozil. “Algorithms and Conditional Lower Bounds for Planning Problems.” Artificial
Intelligence. Elsevier, 2021. https://doi.org/10.1016/j.artint.2021.103499.
ieee: K. Chatterjee, W. Dvořák, M. H. Henzinger, and A. Svozil, “Algorithms and
conditional lower bounds for planning problems,” Artificial Intelligence,
vol. 297, no. 8. Elsevier, 2021.
ista: Chatterjee K, Dvořák W, Henzinger MH, Svozil A. 2021. Algorithms and conditional
lower bounds for planning problems. Artificial Intelligence. 297(8), 103499.
mla: Chatterjee, Krishnendu, et al. “Algorithms and Conditional Lower Bounds for
Planning Problems.” Artificial Intelligence, vol. 297, no. 8, 103499, Elsevier,
2021, doi:10.1016/j.artint.2021.103499.
short: K. Chatterjee, W. Dvořák, M.H. Henzinger, A. Svozil, Artificial Intelligence
297 (2021).
date_created: 2021-03-28T22:01:40Z
date_published: 2021-03-16T00:00:00Z
date_updated: 2023-09-26T10:41:42Z
day: '16'
department:
- _id: KrCh
doi: 10.1016/j.artint.2021.103499
external_id:
arxiv:
- '1804.07031'
isi:
- '000657537500003'
intvolume: ' 297'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.07031
month: '03'
oa: 1
oa_version: Preprint
publication: Artificial Intelligence
publication_identifier:
issn:
- 0004-3702
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '35'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Algorithms and conditional lower bounds for planning problems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 297
year: '2021'
...
---
_id: '9393'
abstract:
- lang: eng
text: "We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean-payoff,
the ratio, and the minimum initial credit for energy property. The algorithmic
problem given a graph and a quantitative property asks to compute the optimal
value (the infimum value over all traces) from every node of the graph. We consider
graphs with bounded treewidth—a class that contains the control flow graphs of
most programs. Let n denote the number of nodes of a graph, m the number of edges
(for bounded treewidth \U0001D45A=\U0001D442(\U0001D45B)) and W the largest absolute
value of the weights. Our main theoretical results are as follows. First, for
the minimum initial credit problem we show that (1) for general graphs the problem
can be solved in \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision
problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known
\U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A)
bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm
that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth
graphs we present an algorithm that approximates the mean-payoff value within
a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716))
as compared to the classical exact algorithms on general graphs that require quadratic
time. Third, for the ratio property we present an algorithm that for bounded treewidth
graphs works in time \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)),
when the output is \U0001D44E\U0001D44F, as compared to the previously best known
algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)).
We have implemented some of our algorithms and show that they present a significant
speedup on standard benchmarks."
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant
(279307: Graph Games), and Microsoft faculty fellows award.'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative
verification in bounded treewidth graphs. Formal Methods in System Design.
2021;57:401-428. doi:10.1007/s10703-021-00373-5
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Faster algorithms
for quantitative verification in bounded treewidth graphs. Formal Methods in
System Design. Springer. https://doi.org/10.1007/s10703-021-00373-5
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
“Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.”
Formal Methods in System Design. Springer, 2021. https://doi.org/10.1007/s10703-021-00373-5.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for
quantitative verification in bounded treewidth graphs,” Formal Methods in System
Design, vol. 57. Springer, pp. 401–428, 2021.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for
quantitative verification in bounded treewidth graphs. Formal Methods in System
Design. 57, 401–428.
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification
in Bounded Treewidth Graphs.” Formal Methods in System Design, vol. 57,
Springer, 2021, pp. 401–28, doi:10.1007/s10703-021-00373-5.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System
Design 57 (2021) 401–428.
date_created: 2021-05-16T22:01:47Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2023-10-10T11:13:20Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s10703-021-00373-5
ec_funded: 1
external_id:
arxiv:
- '1504.07384'
isi:
- '000645490300001'
intvolume: ' 57'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1504.07384
month: '09'
oa: 1
oa_version: Preprint
page: 401-428
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Formal Methods in System Design
publication_identifier:
eissn:
- 1572-8102
issn:
- 0925-9856
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for quantitative verification in bounded treewidth graphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2021'
...
---
_id: '9644'
abstract:
- lang: eng
text: 'We present a new approach to proving non-termination of non-deterministic
integer programs. Our technique is rather simple but efficient. It relies on a
purely syntactic reversal of the program''s transition system followed by a constraint-based
invariant synthesis with constraints coming from both the original and the reversed
transition system. The latter task is performed by a simple call to an off-the-shelf
SMT-solver, which allows us to leverage the latest advances in SMT-solving. Moreover,
our method offers a combination of features not present (as a whole) in previous
approaches: it handles programs with non-determinism, provides relative completeness
guarantees and supports programs with polynomial arithmetic. The experiments performed
with our prototype tool RevTerm show that our approach, despite its simplicity
and stronger theoretical guarantees, is at least on par with the state-of-the-art
tools, often achieving a non-trivial improvement under a proper configuration
of its parameters.'
acknowledgement: We thank the anonymous reviewers for their helpful comments. This
research was partially supported by the ERCCoG 863818 (ForM-SMArt) and the Czech
Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ehsan Kafshdar
full_name: Goharshady, Ehsan Kafshdar
last_name: Goharshady
- first_name: Petr
full_name: Novotný, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotný
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. Proving non-termination
by program reversal. In: Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation. Association
for Computing Machinery; 2021:1033-1048. doi:10.1145/3453483.3454093'
apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., & Zikelic, D. (2021).
Proving non-termination by program reversal. In Proceedings of the 42nd ACM
SIGPLAN International Conference on Programming Language Design and Implementation
(pp. 1033–1048). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454093'
chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, and Dorde
Zikelic. “Proving Non-Termination by Program Reversal.” In Proceedings of the
42nd ACM SIGPLAN International Conference on Programming Language Design and Implementation,
1033–48. Association for Computing Machinery, 2021. https://doi.org/10.1145/3453483.3454093.
ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, and D. Zikelic, “Proving non-termination
by program reversal,” in Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation, Online, 2021,
pp. 1033–1048.
ista: 'Chatterjee K, Goharshady EK, Novotný P, Zikelic D. 2021. Proving non-termination
by program reversal. Proceedings of the 42nd ACM SIGPLAN International Conference
on Programming Language Design and Implementation. PLDI: Programming Language
Design and Implementation, 1033–1048.'
mla: Chatterjee, Krishnendu, et al. “Proving Non-Termination by Program Reversal.”
Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, Association for Computing Machinery, 2021,
pp. 1033–48, doi:10.1145/3453483.3454093.
short: K. Chatterjee, E.K. Goharshady, P. Novotný, D. Zikelic, in:, Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 1033–1048.
conference:
end_date: 2021-06-26
location: Online
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2021-06-20
date_created: 2021-07-11T22:01:17Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2023-11-30T10:55:37Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454093
ec_funded: 1
external_id:
arxiv:
- '2104.01189'
isi:
- '000723661700067'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2104.01189
month: '06'
oa: 1
oa_version: Preprint
page: 1033-1048
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Proving non-termination by program reversal
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '10414'
abstract:
- lang: eng
text: 'We consider the almost-sure (a.s.) termination problem for probabilistic
programs, which are a stochastic extension of classical imperative programs. Lexicographic
ranking functions provide a sound and practical approach for termination of non-probabilistic
programs, and their extension to probabilistic programs is achieved via lexicographic
ranking supermartingales (LexRSMs). However, LexRSMs introduced in the previous
work have a limitation that impedes their automation: all of their components
have to be non-negative in all reachable states. This might result in LexRSM not
existing even for simple terminating programs. Our contributions are twofold:
First, we introduce a generalization of LexRSMs which allows for some components
to be negative. This standard feature of non-probabilistic termination proofs
was hitherto not known to be sound in the probabilistic setting, as the soundness
proof requires a careful analysis of the underlying stochastic process. Second,
we present polynomial-time algorithms using our generalized LexRSMs for proving
a.s. termination in broad classes of linear-arithmetic programs.'
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
the Czech Science Foundation grant No. GJ19-15134Y, and the European Union’s Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
No. 665385.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ehsan Kafshdar
full_name: Goharshady, Ehsan Kafshdar
last_name: Goharshady
- first_name: Petr
full_name: Novotný, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotný
- first_name: Jiří
full_name: Zárevúcky, Jiří
last_name: Zárevúcky
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady EK, Novotný P, Zárevúcky J, Zikelic D. On lexicographic
proof rules for probabilistic termination. In: 24th International Symposium
on Formal Methods. Vol 13047. Springer Nature; 2021:619-639. doi:10.1007/978-3-030-90870-6_33'
apa: 'Chatterjee, K., Goharshady, E. K., Novotný, P., Zárevúcky, J., & Zikelic,
D. (2021). On lexicographic proof rules for probabilistic termination. In 24th
International Symposium on Formal Methods (Vol. 13047, pp. 619–639). Virtual:
Springer Nature. https://doi.org/10.1007/978-3-030-90870-6_33'
chicago: Chatterjee, Krishnendu, Ehsan Kafshdar Goharshady, Petr Novotný, Jiří Zárevúcky,
and Dorde Zikelic. “On Lexicographic Proof Rules for Probabilistic Termination.”
In 24th International Symposium on Formal Methods, 13047:619–39. Springer
Nature, 2021. https://doi.org/10.1007/978-3-030-90870-6_33.
ieee: K. Chatterjee, E. K. Goharshady, P. Novotný, J. Zárevúcky, and D. Zikelic,
“On lexicographic proof rules for probabilistic termination,” in 24th International
Symposium on Formal Methods, Virtual, 2021, vol. 13047, pp. 619–639.
ista: 'Chatterjee K, Goharshady EK, Novotný P, Zárevúcky J, Zikelic D. 2021. On
lexicographic proof rules for probabilistic termination. 24th International Symposium
on Formal Methods. FM: Formal Methods, LNCS, vol. 13047, 619–639.'
mla: Chatterjee, Krishnendu, et al. “On Lexicographic Proof Rules for Probabilistic
Termination.” 24th International Symposium on Formal Methods, vol. 13047,
Springer Nature, 2021, pp. 619–39, doi:10.1007/978-3-030-90870-6_33.
short: K. Chatterjee, E.K. Goharshady, P. Novotný, J. Zárevúcky, D. Zikelic, in:,
24th International Symposium on Formal Methods, Springer Nature, 2021, pp. 619–639.
conference:
end_date: 2021-11-26
location: Virtual
name: 'FM: Formal Methods'
start_date: 2021-11-20
date_created: 2021-12-05T23:01:45Z
date_published: 2021-11-10T00:00:00Z
date_updated: 2024-01-17T08:19:41Z
day: '10'
department:
- _id: KrCh
doi: 10.1007/978-3-030-90870-6_33
ec_funded: 1
external_id:
arxiv:
- '2108.02188'
isi:
- '000758218600033'
intvolume: ' 13047'
isi: 1
language:
- iso: eng
main_file_link:
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url: https://arxiv.org/abs/2108.02188
month: '11'
oa: 1
oa_version: Preprint
page: 619-639
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: 24th International Symposium on Formal Methods
publication_identifier:
eisbn:
- 978-3-030-90870-6
eissn:
- 1611-3349
isbn:
- 9-783-0309-0869-0
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
- id: '14778'
relation: later_version
status: public
scopus_import: '1'
status: public
title: On lexicographic proof rules for probabilistic termination
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13047
year: '2021'
...
---
_id: '8934'
abstract:
- lang: eng
text: "In this thesis, we consider several of the most classical and fundamental
problems in static analysis and formal verification, including invariant generation,
reachability analysis, termination analysis of probabilistic programs, data-flow
analysis, quantitative analysis of Markov chains and Markov decision processes,
and the problem of data packing in cache management.\r\nWe use techniques from
parameterized complexity theory, polyhedral geometry, and real algebraic geometry
to significantly improve the state-of-the-art, in terms of both scalability and
completeness guarantees, for the mentioned problems. In some cases, our results
are the first theoretical improvements for the respective problems in two or three
decades."
acknowledgement: 'The research was partially supported by an IBM PhD fellowship, a
Facebook PhD fellowship, and DOC fellowship #24956 of the Austrian Academy of Sciences
(OeAW).'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: Goharshady AK. Parameterized and algebro-geometric advances in static program
analysis. 2021. doi:10.15479/AT:ISTA:8934
apa: Goharshady, A. K. (2021). Parameterized and algebro-geometric advances in
static program analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8934
chicago: Goharshady, Amir Kafshdar. “Parameterized and Algebro-Geometric Advances
in Static Program Analysis.” Institute of Science and Technology Austria, 2021.
https://doi.org/10.15479/AT:ISTA:8934.
ieee: A. K. Goharshady, “Parameterized and algebro-geometric advances in static
program analysis,” Institute of Science and Technology Austria, 2021.
ista: Goharshady AK. 2021. Parameterized and algebro-geometric advances in static
program analysis. Institute of Science and Technology Austria.
mla: Goharshady, Amir Kafshdar. Parameterized and Algebro-Geometric Advances
in Static Program Analysis. Institute of Science and Technology Austria, 2021,
doi:10.15479/AT:ISTA:8934.
short: A.K. Goharshady, Parameterized and Algebro-Geometric Advances in Static Program
Analysis, Institute of Science and Technology Austria, 2021.
date_created: 2020-12-10T12:17:07Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-09-22T10:03:21Z
day: '01'
ddc:
- '005'
degree_awarded: PhD
department:
- _id: KrCh
- _id: GradSch
doi: 10.15479/AT:ISTA:8934
file:
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oa: 1
oa_version: Published Version
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- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
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relation: part_of_dissertation
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relation: part_of_dissertation
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relation: part_of_dissertation
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relation: part_of_dissertation
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- id: '6340'
relation: part_of_dissertation
status: public
- id: '949'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Parameterized and algebro-geometric advances in static program analysis
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
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short: CC0 (1.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '10293'
abstract:
- lang: eng
text: "Indirect reciprocity in evolutionary game theory is a prominent mechanism
for explaining the evolution of cooperation among unrelated individuals. In contrast
to direct reciprocity, which is based on individuals meeting repeatedly, and conditionally
cooperating by using their own experiences, indirect reciprocity is based on individuals’
reputations. If a player helps another, this increases the helper’s public standing,
benefitting them in the future. This lets cooperation in the population emerge
without individuals having to meet more than once. While the two modes of reciprocity
are intertwined, they are difficult to compare. Thus, they are usually studied
in isolation. Direct reciprocity can maintain cooperation with simple strategies,
and is robust against noise even when players do not remember more\r\nthan their
partner’s last action. Meanwhile, indirect reciprocity requires its successful
strategies, or social norms, to be more complex. Exhaustive search previously
identified eight such norms, called the “leading eight”, which excel at maintaining
cooperation. However, as the first result of this thesis, we show that the leading
eight break down once we remove the fundamental assumption that information is
synchronized and public, such that everyone agrees on reputations. Once we consider
a more realistic scenario of imperfect information, where reputations are private,
and individuals occasionally misinterpret or miss observations, the leading eight
do not promote cooperation anymore. Instead, minor initial disagreements can proliferate,
fragmenting populations into subgroups. In a next step, we consider ways to mitigate
this issue. We first explore whether introducing “generosity” can stabilize cooperation
when players use the leading eight strategies in noisy environments. This approach
of modifying strategies to include probabilistic elements for coping with errors
is known to work well in direct reciprocity. However, as we show here, it fails
for the more complex norms of indirect reciprocity. Imperfect information still
prevents cooperation from evolving. On the other hand, we succeeded to show in
this thesis that modifying the leading eight to use “quantitative assessment”,
i.e. tracking reputation scores on a scale beyond good and bad, and making overall
judgments of others based on a threshold, is highly successful, even when noise
increases in the environment. Cooperation can flourish when reputations\r\nare
more nuanced, and players have a broader understanding what it means to be “good.”
Finally, we present a single theoretical framework that unites the two modes of
reciprocity despite their differences. Within this framework, we identify a novel
simple and successful strategy for indirect reciprocity, which can cope with noisy
environments and has an analogue in direct reciprocity. We can also analyze decision
making when different sources of information are available. Our results help highlight
that for sustaining cooperation, already the most simple rules of reciprocity
can be sufficient."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
citation:
ama: Schmid L. Evolution of cooperation via (in)direct reciprocity under imperfect
information. 2021. doi:10.15479/at:ista:10293
apa: Schmid, L. (2021). Evolution of cooperation via (in)direct reciprocity under
imperfect information. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10293
chicago: Schmid, Laura. “Evolution of Cooperation via (in)Direct Reciprocity under
Imperfect Information.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10293.
ieee: L. Schmid, “Evolution of cooperation via (in)direct reciprocity under imperfect
information,” Institute of Science and Technology Austria, 2021.
ista: Schmid L. 2021. Evolution of cooperation via (in)direct reciprocity under
imperfect information. Institute of Science and Technology Austria.
mla: Schmid, Laura. Evolution of Cooperation via (in)Direct Reciprocity under
Imperfect Information. Institute of Science and Technology Austria, 2021,
doi:10.15479/at:ista:10293.
short: L. Schmid, Evolution of Cooperation via (in)Direct Reciprocity under Imperfect
Information, Institute of Science and Technology Austria, 2021.
date_created: 2021-11-15T17:12:57Z
date_published: 2021-11-17T00:00:00Z
date_updated: 2023-11-07T08:28:29Z
day: '17'
ddc:
- '519'
- '576'
degree_awarded: PhD
department:
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- _id: KrCh
doi: 10.15479/at:ista:10293
ec_funded: 1
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project:
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call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
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call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
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related_material:
record:
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status: public
supervisor:
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full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Evolution of cooperation via (in)direct reciprocity under imperfect information
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2021'
...
---
_id: '9997'
abstract:
- lang: eng
text: Indirect reciprocity is a mechanism for the evolution of cooperation based
on social norms. This mechanism requires that individuals in a population observe
and judge each other’s behaviors. Individuals with a good reputation are more
likely to receive help from others. Previous work suggests that indirect reciprocity
is only effective when all relevant information is reliable and publicly available.
Otherwise, individuals may disagree on how to assess others, even if they all
apply the same social norm. Such disagreements can lead to a breakdown of cooperation.
Here we explore whether the predominantly studied ‘leading eight’ social norms
of indirect reciprocity can be made more robust by equipping them with an element
of generosity. To this end, we distinguish between two kinds of generosity. According
to assessment generosity, individuals occasionally assign a good reputation to
group members who would usually be regarded as bad. According to action generosity,
individuals occasionally cooperate with group members with whom they would usually
defect. Using individual-based simulations, we show that the two kinds of generosity
have a very different effect on the resulting reputation dynamics. Assessment
generosity tends to add to the overall noise and allows defectors to invade. In
contrast, a limited amount of action generosity can be beneficial in a few cases.
However, even when action generosity is beneficial, the respective simulations
do not result in full cooperation. Our results suggest that while generosity can
favor cooperation when individuals use the most simple strategies of reciprocity,
it is disadvantageous when individuals use more complex social norms.
acknowledgement: 'This work was supported by the European Research Council CoG 863818
(ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529:
E-DIRECT (to C.H.). L.S. received additional partial support by the Austrian Science
Fund (FWF) under Grant Z211-N23 (Wittgenstein Award).'
article_number: '17443'
article_processing_charge: Yes
article_type: original
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Pouya
full_name: Shati, Pouya
last_name: Shati
- first_name: Christian
full_name: Hilbe, Christian
last_name: Hilbe
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Schmid L, Shati P, Hilbe C, Chatterjee K. The evolution of indirect reciprocity
under action and assessment generosity. Scientific Reports. 2021;11(1).
doi:10.1038/s41598-021-96932-1
apa: Schmid, L., Shati, P., Hilbe, C., & Chatterjee, K. (2021). The evolution
of indirect reciprocity under action and assessment generosity. Scientific
Reports. Springer Nature. https://doi.org/10.1038/s41598-021-96932-1
chicago: Schmid, Laura, Pouya Shati, Christian Hilbe, and Krishnendu Chatterjee.
“The Evolution of Indirect Reciprocity under Action and Assessment Generosity.”
Scientific Reports. Springer Nature, 2021. https://doi.org/10.1038/s41598-021-96932-1.
ieee: L. Schmid, P. Shati, C. Hilbe, and K. Chatterjee, “The evolution of indirect
reciprocity under action and assessment generosity,” Scientific Reports,
vol. 11, no. 1. Springer Nature, 2021.
ista: Schmid L, Shati P, Hilbe C, Chatterjee K. 2021. The evolution of indirect
reciprocity under action and assessment generosity. Scientific Reports. 11(1),
17443.
mla: Schmid, Laura, et al. “The Evolution of Indirect Reciprocity under Action and
Assessment Generosity.” Scientific Reports, vol. 11, no. 1, 17443, Springer
Nature, 2021, doi:10.1038/s41598-021-96932-1.
short: L. Schmid, P. Shati, C. Hilbe, K. Chatterjee, Scientific Reports 11 (2021).
date_created: 2021-09-11T16:22:02Z
date_published: 2021-08-31T00:00:00Z
date_updated: 2024-03-28T23:30:45Z
day: '31'
ddc:
- '003'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1038/s41598-021-96932-1
ec_funded: 1
external_id:
isi:
- '000692406400018'
pmid:
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month: '08'
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oa_version: Published Version
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project:
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call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
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call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Scientific Reports
publication_identifier:
eissn:
- 2045-2322
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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title: The evolution of indirect reciprocity under action and assessment generosity
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2021'
...
---
_id: '9402'
abstract:
- lang: eng
text: Direct and indirect reciprocity are key mechanisms for the evolution of cooperation.
Direct reciprocity means that individuals use their own experience to decide whether
to cooperate with another person. Indirect reciprocity means that they also consider
the experiences of others. Although these two mechanisms are intertwined, they
are typically studied in isolation. Here, we introduce a mathematical framework
that allows us to explore both kinds of reciprocity simultaneously. We show that
the well-known ‘generous tit-for-tat’ strategy of direct reciprocity has a natural
analogue in indirect reciprocity, which we call ‘generous scoring’. Using an equilibrium
analysis, we characterize under which conditions either of the two strategies
can maintain cooperation. With simulations, we additionally explore which kind
of reciprocity evolves when members of a population engage in social learning
to adapt to their environment. Our results draw unexpected connections between
direct and indirect reciprocity while highlighting important differences regarding
their evolvability.
acknowledgement: 'This work was supported by the European Research Council CoG 863818
(ForM-SMArt) (to K.C.), the European Research Council Start Grant 279307: Graph
Games (to K.C.), and the European Research Council Starting Grant 850529: E-DIRECT
(to C.H.). The funders had no role in study design, data collection and analysis,
decision to publish or preparation of the manuscript.'
article_processing_charge: No
article_type: original
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Schmid L, Chatterjee K, Hilbe C, Nowak MA. A unified framework of direct and
indirect reciprocity. Nature Human Behaviour. 2021;5(10):1292–1302. doi:10.1038/s41562-021-01114-8
apa: Schmid, L., Chatterjee, K., Hilbe, C., & Nowak, M. A. (2021). A unified
framework of direct and indirect reciprocity. Nature Human Behaviour. Springer
Nature. https://doi.org/10.1038/s41562-021-01114-8
chicago: Schmid, Laura, Krishnendu Chatterjee, Christian Hilbe, and Martin A. Nowak.
“A Unified Framework of Direct and Indirect Reciprocity.” Nature Human Behaviour.
Springer Nature, 2021. https://doi.org/10.1038/s41562-021-01114-8.
ieee: L. Schmid, K. Chatterjee, C. Hilbe, and M. A. Nowak, “A unified framework
of direct and indirect reciprocity,” Nature Human Behaviour, vol. 5, no.
10. Springer Nature, pp. 1292–1302, 2021.
ista: Schmid L, Chatterjee K, Hilbe C, Nowak MA. 2021. A unified framework of direct
and indirect reciprocity. Nature Human Behaviour. 5(10), 1292–1302.
mla: Schmid, Laura, et al. “A Unified Framework of Direct and Indirect Reciprocity.”
Nature Human Behaviour, vol. 5, no. 10, Springer Nature, 2021, pp. 1292–1302,
doi:10.1038/s41562-021-01114-8.
short: L. Schmid, K. Chatterjee, C. Hilbe, M.A. Nowak, Nature Human Behaviour 5
(2021) 1292–1302.
date_created: 2021-05-18T16:56:57Z
date_published: 2021-05-13T00:00:00Z
date_updated: 2024-03-28T23:30:45Z
day: '13'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
doi: 10.1038/s41562-021-01114-8
ec_funded: 1
external_id:
isi:
- '000650304000002'
pmid:
- '33986519'
file:
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checksum: 34f55e173f90dc1dab731063458ac780
content_type: application/pdf
creator: dernst
date_created: 2023-11-07T08:27:23Z
date_updated: 2023-11-07T08:27:23Z
file_id: '14496'
file_name: 2021_NatureHumanBehaviour_Schmid_accepted.pdf
file_size: 5232761
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success: 1
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intvolume: ' 5'
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issue: '10'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 1292–1302
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Nature Human Behaviour
publication_identifier:
eissn:
- 2397-3374
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/the-emergence-of-cooperation/
record:
- id: '10293'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: A unified framework of direct and indirect reciprocity
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2021'
...
---
_id: '7346'
abstract:
- lang: eng
text: 'The Price of Anarchy (PoA) is a well-established game-theoretic concept to
shed light on coordination issues arising in open distributed systems. Leaving
agents to selfishly optimize comes with the risk of ending up in sub-optimal states
(in terms of performance and/or costs), compared to a centralized system design.
However, the PoA relies on strong assumptions about agents'' rationality (e.g.,
resources and information) and interactions, whereas in many distributed systems
agents interact locally with bounded resources. They do so repeatedly over time
(in contrast to "one-shot games"), and their strategies may evolve. Using a more
realistic evolutionary game model, this paper introduces a realized evolutionary
Price of Anarchy (ePoA). The ePoA allows an exploration of equilibrium selection
in dynamic distributed systems with multiple equilibria, based on local interactions
of simple memoryless agents. Considering a fundamental game related to virus propagation
on networks, we present analytical bounds on the ePoA in basic network topologies
and for different strategy update dynamics. In particular, deriving stationary
distributions of the stochastic evolutionary process, we find that the Nash equilibria
are not always the most abundant states, and that different processes can feature
significant off-equilibrium behavior, leading to a significantly higher ePoA compared
to the PoA studied traditionally in the literature. '
alternative_title:
- LIPIcs
article_number: '21'
article_processing_charge: No
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Stefan
full_name: Schmid, Stefan
last_name: Schmid
citation:
ama: 'Schmid L, Chatterjee K, Schmid S. The evolutionary price of anarchy: Locally
bounded agents in a dynamic virus game. In: Proceedings of the 23rd International
Conference on Principles of Distributed Systems. Vol 153. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.OPODIS.2019.21'
apa: 'Schmid, L., Chatterjee, K., & Schmid, S. (2020). The evolutionary price
of anarchy: Locally bounded agents in a dynamic virus game. In Proceedings
of the 23rd International Conference on Principles of Distributed Systems
(Vol. 153). Neuchâtel, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.OPODIS.2019.21'
chicago: 'Schmid, Laura, Krishnendu Chatterjee, and Stefan Schmid. “The Evolutionary
Price of Anarchy: Locally Bounded Agents in a Dynamic Virus Game.” In Proceedings
of the 23rd International Conference on Principles of Distributed Systems,
Vol. 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.OPODIS.2019.21.'
ieee: 'L. Schmid, K. Chatterjee, and S. Schmid, “The evolutionary price of anarchy:
Locally bounded agents in a dynamic virus game,” in Proceedings of the 23rd
International Conference on Principles of Distributed Systems, Neuchâtel,
Switzerland, 2020, vol. 153.'
ista: 'Schmid L, Chatterjee K, Schmid S. 2020. The evolutionary price of anarchy:
Locally bounded agents in a dynamic virus game. Proceedings of the 23rd International
Conference on Principles of Distributed Systems. OPODIS: International Conference
on Principles of Distributed Systems, LIPIcs, vol. 153, 21.'
mla: 'Schmid, Laura, et al. “The Evolutionary Price of Anarchy: Locally Bounded
Agents in a Dynamic Virus Game.” Proceedings of the 23rd International Conference
on Principles of Distributed Systems, vol. 153, 21, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2020, doi:10.4230/LIPIcs.OPODIS.2019.21.'
short: L. Schmid, K. Chatterjee, S. Schmid, in:, Proceedings of the 23rd International
Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2020.
conference:
end_date: 2019-12-19
location: Neuchâtel, Switzerland
name: 'OPODIS: International Conference on Principles of Distributed Systems'
start_date: 2019-12-17
date_created: 2020-01-21T16:00:26Z
date_published: 2020-02-10T00:00:00Z
date_updated: 2023-02-23T13:05:49Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.OPODIS.2019.21
external_id:
arxiv:
- '1906.00110'
file:
- access_level: open_access
checksum: 9a91916ac2c21ab42458fcda39ef0b8d
content_type: application/pdf
creator: dernst
date_created: 2020-03-23T09:14:06Z
date_updated: 2020-07-14T12:47:56Z
file_id: '7608'
file_name: 2019_LIPIcS_Schmid.pdf
file_size: 630752
relation: main_file
file_date_updated: 2020-07-14T12:47:56Z
has_accepted_license: '1'
intvolume: ' 153'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Proceedings of the 23rd International Conference on Principles of Distributed
Systems
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The evolutionary price of anarchy: Locally bounded agents in a dynamic virus
game'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 153
year: '2020'
...
---
_id: '8600'
abstract:
- lang: eng
text: 'A vector addition system with states (VASS) consists of a finite set of states
and counters. A transition changes the current state to the next state, and every
counter is either incremented, or decremented, or left unchanged. A state and
value for each counter is a configuration; and a computation is an infinite sequence
of configurations with transitions between successive configurations. A probabilistic
VASS consists of a VASS along with a probability distribution over the transitions
for each state. Qualitative properties such as state and configuration reachability
have been widely studied for VASS. In this work we consider multi-dimensional
long-run average objectives for VASS and probabilistic VASS. For a counter, the
cost of a configuration is the value of the counter; and the long-run average
value of a computation for the counter is the long-run average of the costs of
the configurations in the computation. The multi-dimensional long-run average
problem given a VASS and a threshold value for each counter, asks whether there
is a computation such that for each counter the long-run average value for the
counter does not exceed the respective threshold. For probabilistic VASS, instead
of the existence of a computation, we consider whether the expected long-run average
value for each counter does not exceed the respective threshold. Our main results
are as follows: we show that the multi-dimensional long-run average problem (a)
is NP-complete for integer-valued VASS; (b) is undecidable for natural-valued
VASS (i.e., nonnegative counters); and (c) can be solved in polynomial time for
probabilistic integer-valued VASS, and probabilistic natural-valued VASS when
all computations are non-terminating.'
alternative_title:
- LIPIcs
article_number: '23'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Multi-dimensional long-run average problems
for vector addition systems with states. In: 31st International Conference
on Concurrency Theory. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2020. doi:10.4230/LIPIcs.CONCUR.2020.23'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2020). Multi-dimensional
long-run average problems for vector addition systems with states. In 31st
International Conference on Concurrency Theory (Vol. 171). Virtual: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Multi-Dimensional
Long-Run Average Problems for Vector Addition Systems with States.” In 31st
International Conference on Concurrency Theory, Vol. 171. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Multi-dimensional long-run average
problems for vector addition systems with states,” in 31st International Conference
on Concurrency Theory, Virtual, 2020, vol. 171.
ista: 'Chatterjee K, Henzinger TA, Otop J. 2020. Multi-dimensional long-run average
problems for vector addition systems with states. 31st International Conference
on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol.
171, 23.'
mla: Chatterjee, Krishnendu, et al. “Multi-Dimensional Long-Run Average Problems
for Vector Addition Systems with States.” 31st International Conference on
Concurrency Theory, vol. 171, 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, doi:10.4230/LIPIcs.CONCUR.2020.23.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, 31st International Conference
on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-09-04
location: Virtual
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2020-09-01
date_created: 2020-10-04T22:01:36Z
date_published: 2020-08-06T00:00:00Z
date_updated: 2021-01-12T08:20:15Z
day: '06'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2020.23
external_id:
arxiv:
- '2007.08917'
file:
- access_level: open_access
checksum: 5039752f644c4b72b9361d21a5e31baf
content_type: application/pdf
creator: dernst
date_created: 2020-10-05T14:04:25Z
date_updated: 2020-10-05T14:04:25Z
file_id: '8610'
file_name: 2020_LIPIcsCONCUR_Chatterjee.pdf
file_size: 601231
relation: main_file
success: 1
file_date_updated: 2020-10-05T14:04:25Z
has_accepted_license: '1'
intvolume: ' 171'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 31st International Conference on Concurrency Theory
publication_identifier:
isbn:
- '9783959771603'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multi-dimensional long-run average problems for vector addition systems with
states
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 171
year: '2020'
...
---
_id: '8533'
abstract:
- lang: eng
text: Game of Life is a simple and elegant model to study dynamical system over
networks. The model consists of a graph where every vertex has one of two types,
namely, dead or alive. A configuration is a mapping of the vertices to the types.
An update rule describes how the type of a vertex is updated given the types of
its neighbors. In every round, all vertices are updated synchronously, which leads
to a configuration update. While in general, Game of Life allows a broad range
of update rules, we focus on two simple families of update rules, namely, underpopulation
and overpopulation, that model several interesting dynamics studied in the literature.
In both settings, a dead vertex requires at least a desired number of live neighbors
to become alive. For underpopulation (resp., overpopulation), a live vertex requires
at least (resp. at most) a desired number of live neighbors to remain alive. We
study the basic computation problems, e.g., configuration reachability, for these
two families of rules. For underpopulation rules, we show that these problems
can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete.
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker:
This project has received funding from the European Union’s Horizon 2020 research\r\nand
innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
alternative_title:
- LIPIcs
article_number: 22:1-22:13
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Simplified game of life:
Algorithms and complexity. In: 45th International Symposium on Mathematical
Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.22'
apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2020).
Simplified game of life: Algorithms and complexity. In 45th International Symposium
on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech
Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.22'
chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In 45th International
Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.22.'
ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified
game of life: Algorithms and complexity,” in 45th International Symposium on
Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020,
vol. 170.'
ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game
of life: Algorithms and complexity. 45th International Symposium on Mathematical
Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of
Computer Science, LIPIcs, vol. 170, 22:1-22:13.'
mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.”
45th International Symposium on Mathematical Foundations of Computer Science,
vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020,
doi:10.4230/LIPIcs.MFCS.2020.22.'
short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International
Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-08-28
location: Prague, Czech Republic
name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2021-01-12T08:19:55Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.22
ec_funded: 1
external_id:
arxiv:
- '2007.02894'
file:
- access_level: open_access
checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1
content_type: application/pdf
creator: dernst
date_created: 2020-09-21T13:57:34Z
date_updated: 2020-09-21T13:57:34Z
file_id: '8550'
file_name: 2020_LIPIcs_Chatterjee.pdf
file_size: 491374
relation: main_file
success: 1
file_date_updated: 2020-09-21T13:57:34Z
has_accepted_license: '1'
intvolume: ' 170'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
isbn:
- '9783959771597'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simplified game of life: Algorithms and complexity'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '8534'
abstract:
- lang: eng
text: A regular language L of finite words is composite if there are regular languages
L₁,L₂,…,L_t such that L = ⋂_{i = 1}^t L_i and the index (number of states in a
minimal DFA) of every language L_i is strictly smaller than the index of L. Otherwise,
L is prime. Primality of regular languages was introduced and studied in [O. Kupferman
and J. Mosheiff, 2015], where the complexity of deciding the primality of the
language of a given DFA was left open, with a doubly-exponential gap between the
upper and lower bounds. We study primality for unary regular languages, namely
regular languages with a singleton alphabet. A unary language corresponds to a
subset of ℕ, making the study of unary prime languages closer to that of primality
in number theory. We show that the setting of languages is richer. In particular,
while every composite number is the product of two smaller numbers, the number
t of languages necessary to decompose a composite unary language induces a strict
hierarchy. In addition, a primality witness for a unary language L, namely a word
that is not in L but is in all products of languages that contain L and have an
index smaller than L’s, may be of exponential length. Still, we are able to characterize
compositionality by structural properties of a DFA for L, leading to a LogSpace
algorithm for primality checking of unary DFAs.
acknowledgement: "Ismaël Jecker: This project has received funding from the European
Union’s Horizon\r\n2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No.\r\n754411. Nicolas Mazzocchi: PhD fellowship FRIA from the F.R.S.-FNRS."
alternative_title:
- LIPIcs
article_number: 51:1-51:12
article_processing_charge: No
author:
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
- first_name: Nicolas
full_name: Mazzocchi, Nicolas
last_name: Mazzocchi
citation:
ama: 'Jecker IR, Kupferman O, Mazzocchi N. Unary prime languages. In: 45th International
Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.51'
apa: 'Jecker, I. R., Kupferman, O., & Mazzocchi, N. (2020). Unary prime languages.
In 45th International Symposium on Mathematical Foundations of Computer Science
(Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2020.51'
chicago: Jecker, Ismael R, Orna Kupferman, and Nicolas Mazzocchi. “Unary Prime Languages.”
In 45th International Symposium on Mathematical Foundations of Computer Science,
Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.51.
ieee: I. R. Jecker, O. Kupferman, and N. Mazzocchi, “Unary prime languages,” in
45th International Symposium on Mathematical Foundations of Computer Science,
Prague, Czech Republic, 2020, vol. 170.
ista: 'Jecker IR, Kupferman O, Mazzocchi N. 2020. Unary prime languages. 45th International
Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on
Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 51:1-51:12.'
mla: Jecker, Ismael R., et al. “Unary Prime Languages.” 45th International Symposium
on Mathematical Foundations of Computer Science, vol. 170, 51:1-51:12, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.51.
short: I.R. Jecker, O. Kupferman, N. Mazzocchi, in:, 45th International Symposium
on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2020.
conference:
end_date: 2020-08-28
location: Prague, Czech Republic
name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2021-01-12T08:19:56Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.51
ec_funded: 1
file:
- access_level: open_access
checksum: 2dc9e2fad6becd4563aef3e27a473f70
content_type: application/pdf
creator: dernst
date_created: 2020-09-21T14:17:08Z
date_updated: 2020-09-21T14:17:08Z
file_id: '8552'
file_name: 2020_LIPIcsMFCS_Jecker.pdf
file_size: 597977
relation: main_file
success: 1
file_date_updated: 2020-09-21T14:17:08Z
has_accepted_license: '1'
intvolume: ' 170'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
isbn:
- '9783959771597'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unary prime languages
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '7955'
abstract:
- lang: eng
text: Simple stochastic games are turn-based 2½-player games with a reachability
objective. The basic question asks whether one player can ensure reaching a given
target with at least a given probability. A natural extension is games with a
conjunction of such conditions as objective. Despite a plethora of recent results
on the analysis of systems with multiple objectives, the decidability of this
basic problem remains open. In this paper, we present an algorithm approximating
the Pareto frontier of the achievable values to a given precision. Moreover, it
is an anytime algorithm, meaning it can be stopped at any time returning the current
approximation and its error bound.
acknowledgement: "Pranav Ashok, Jan Křetínský and Maximilian Weininger were funded
in part by TUM IGSSE Grant 10.06 (PARSEC) and the German Research Foundation (DFG)
project KR 4890/2-1\r\n“Statistical Unbounded Verification”. Krishnendu Chatterjee
was supported by the ERC CoG 863818 (ForM-SMArt) and Vienna Science and Technology
Fund (WWTF) Project ICT15-\r\n003. Tobias Winkler was supported by the RTG 2236
UnRAVe."
article_processing_charge: No
author:
- first_name: Pranav
full_name: Ashok, Pranav
last_name: Ashok
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Jan
full_name: Kretinsky, Jan
last_name: Kretinsky
- first_name: Maximilian
full_name: Weininger, Maximilian
last_name: Weininger
- first_name: Tobias
full_name: Winkler, Tobias
last_name: Winkler
citation:
ama: 'Ashok P, Chatterjee K, Kretinsky J, Weininger M, Winkler T. Approximating
values of generalized-reachability stochastic games. In: Proceedings of the
35th Annual ACM/IEEE Symposium on Logic in Computer Science . Association
for Computing Machinery; 2020:102-115. doi:10.1145/3373718.3394761'
apa: 'Ashok, P., Chatterjee, K., Kretinsky, J., Weininger, M., & Winkler, T.
(2020). Approximating values of generalized-reachability stochastic games. In
Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science
(pp. 102–115). Saarbrücken, Germany: Association for Computing Machinery.
https://doi.org/10.1145/3373718.3394761'
chicago: Ashok, Pranav, Krishnendu Chatterjee, Jan Kretinsky, Maximilian Weininger,
and Tobias Winkler. “Approximating Values of Generalized-Reachability Stochastic
Games.” In Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer
Science , 102–15. Association for Computing Machinery, 2020. https://doi.org/10.1145/3373718.3394761.
ieee: P. Ashok, K. Chatterjee, J. Kretinsky, M. Weininger, and T. Winkler, “Approximating
values of generalized-reachability stochastic games,” in Proceedings of the
35th Annual ACM/IEEE Symposium on Logic in Computer Science , Saarbrücken,
Germany, 2020, pp. 102–115.
ista: 'Ashok P, Chatterjee K, Kretinsky J, Weininger M, Winkler T. 2020. Approximating
values of generalized-reachability stochastic games. Proceedings of the 35th Annual
ACM/IEEE Symposium on Logic in Computer Science . LICS: Symposium on Logic in
Computer Science, 102–115.'
mla: Ashok, Pranav, et al. “Approximating Values of Generalized-Reachability Stochastic
Games.” Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer
Science , Association for Computing Machinery, 2020, pp. 102–15, doi:10.1145/3373718.3394761.
short: P. Ashok, K. Chatterjee, J. Kretinsky, M. Weininger, T. Winkler, in:, Proceedings
of the 35th Annual ACM/IEEE Symposium on Logic in Computer Science , Association
for Computing Machinery, 2020, pp. 102–115.
conference:
end_date: 2020-07-11
location: Saarbrücken, Germany
name: 'LICS: Symposium on Logic in Computer Science'
start_date: 2020-07-08
date_created: 2020-06-14T22:00:48Z
date_published: 2020-07-08T00:00:00Z
date_updated: 2023-08-21T08:24:36Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3373718.3394761
ec_funded: 1
external_id:
arxiv:
- '1908.05106'
isi:
- '000665014900010'
file:
- access_level: open_access
checksum: d0d0288fe991dd16cf5f02598b794240
content_type: application/pdf
creator: dernst
date_created: 2020-11-25T09:38:14Z
date_updated: 2020-11-25T09:38:14Z
file_id: '8804'
file_name: 2020_LICS_Ashok.pdf
file_size: 1001395
relation: main_file
success: 1
file_date_updated: 2020-11-25T09:38:14Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 102-115
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: 'Proceedings of the 35th Annual ACM/IEEE Symposium on Logic in Computer
Science '
publication_identifier:
isbn:
- '9781450371049'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Approximating values of generalized-reachability stochastic games
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2020'
...
---
_id: '8767'
abstract:
- lang: eng
text: Resources are rarely distributed uniformly within a population. Heterogeneity
in the concentration of a drug, the quality of breeding sites, or wealth can all
affect evolutionary dynamics. In this study, we represent a collection of properties
affecting the fitness at a given location using a color. A green node is rich
in resources while a red node is poorer. More colors can represent a broader spectrum
of resource qualities. For a population evolving according to the birth-death
Moran model, the first question we address is which structures, identified by
graph connectivity and graph coloring, are evolutionarily equivalent. We prove
that all properly two-colored, undirected, regular graphs are evolutionarily equivalent
(where “properly colored” means that no two neighbors have the same color). We
then compare the effects of background heterogeneity on properly two-colored graphs
to those with alternative schemes in which the colors are permuted. Finally, we
discuss dynamic coloring as a model for spatiotemporal resource fluctuations,
and we illustrate that random dynamic colorings often diminish the effects of
background heterogeneity relative to a proper two-coloring.
acknowledgement: 'We thank Igor Erovenko for many helpful comments on an earlier version
of this paper. : Army Research Laboratory (grant W911NF-18-2-0265) (M.A.N.); the
Bill & Melinda Gates Foundation (grant OPP1148627) (M.A.N.); the NVIDIA Corporation
(A.M.). The funders had no role in study design, data collection and analysis, decision
to publish, or preparation of the manuscript.'
article_number: e1008402
article_processing_charge: No
article_type: original
author:
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Alex
full_name: McAvoy, Alex
last_name: McAvoy
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. The Moran process on 2-chromatic
graphs. PLOS Computational Biology. 2020;16(11). doi:10.1371/journal.pcbi.1008402
apa: Kaveh, K., McAvoy, A., Chatterjee, K., & Nowak, M. A. (2020). The Moran
process on 2-chromatic graphs. PLOS Computational Biology. Public Library
of Science. https://doi.org/10.1371/journal.pcbi.1008402
chicago: Kaveh, Kamran, Alex McAvoy, Krishnendu Chatterjee, and Martin A. Nowak.
“The Moran Process on 2-Chromatic Graphs.” PLOS Computational Biology.
Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1008402.
ieee: K. Kaveh, A. McAvoy, K. Chatterjee, and M. A. Nowak, “The Moran process on
2-chromatic graphs,” PLOS Computational Biology, vol. 16, no. 11. Public
Library of Science, 2020.
ista: Kaveh K, McAvoy A, Chatterjee K, Nowak MA. 2020. The Moran process on 2-chromatic
graphs. PLOS Computational Biology. 16(11), e1008402.
mla: Kaveh, Kamran, et al. “The Moran Process on 2-Chromatic Graphs.” PLOS Computational
Biology, vol. 16, no. 11, e1008402, Public Library of Science, 2020, doi:10.1371/journal.pcbi.1008402.
short: K. Kaveh, A. McAvoy, K. Chatterjee, M.A. Nowak, PLOS Computational Biology
16 (2020).
date_created: 2020-11-18T07:20:23Z
date_published: 2020-11-05T00:00:00Z
date_updated: 2023-08-22T12:49:18Z
day: '05'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1008402
external_id:
isi:
- '000591317200004'
file:
- access_level: open_access
checksum: 555456dd0e47bcf9e0994bcb95577e88
content_type: application/pdf
creator: dernst
date_created: 2020-11-18T07:26:10Z
date_updated: 2020-11-18T07:26:10Z
file_id: '8768'
file_name: 2020_PlosCompBio_Kaveh.pdf
file_size: 2498594
relation: main_file
success: 1
file_date_updated: 2020-11-18T07:26:10Z
has_accepted_license: '1'
intvolume: ' 16'
isi: 1
issue: '11'
keyword:
- Ecology
- Modelling and Simulation
- Computational Theory and Mathematics
- Genetics
- Ecology
- Evolution
- Behavior and Systematics
- Molecular Biology
- Cellular and Molecular Neuroscience
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: PLOS Computational Biology
publication_identifier:
eissn:
- 1553-7358
issn:
- 1553-734X
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Moran process on 2-chromatic graphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 16
year: '2020'
...
---
_id: '8789'
abstract:
- lang: eng
text: Cooperation is a ubiquitous and beneficial behavioural trait despite being
prone to exploitation by free-riders. Hence, cooperative populations are prone
to invasions by selfish individuals. However, a population consisting of only
free-riders typically does not survive. Thus, cooperators and free-riders often
coexist in some proportion. An evolutionary version of a Snowdrift Game proved
its efficiency in analysing this phenomenon. However, what if the system has already
reached its stable state but was perturbed due to a change in environmental conditions?
Then, individuals may have to re-learn their effective strategies. To address
this, we consider behavioural mistakes in strategic choice execution, which we
refer to as incompetence. Parametrising the propensity to make such mistakes allows
for a mathematical description of learning. We compare strategies based on their
relative strategic advantage relying on both fitness and learning factors. When
strategies are learned at distinct rates, allowing learning according to a prescribed
order is optimal. Interestingly, the strategy with the lowest strategic advantage
should be learnt first if we are to optimise fitness over the learning path. Then,
the differences between strategies are balanced out in order to minimise the effect
of behavioural uncertainty.
acknowledgement: "This work was supported by the European Union’s Horizon 2020 research
and innovation program under the Marie Sklodowska-Curie Grant Agreement #754411,
the Australian Research Council Discovery Grants DP160101236 and DP150100618, and
the European Research Council Consolidator Grant 863818 (FoRM-SMArt).\r\nAuthors
would like to thank Patrick McKinlay for his work on the preliminary results for
this paper."
article_number: '1945'
article_processing_charge: No
article_type: original
author:
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Sabrina
full_name: Streipert, Sabrina
last_name: Streipert
- first_name: Jerzy
full_name: Filar, Jerzy
last_name: Filar
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Kleshnina M, Streipert S, Filar J, Chatterjee K. Prioritised learning in snowdrift-type
games. Mathematics. 2020;8(11). doi:10.3390/math8111945
apa: Kleshnina, M., Streipert, S., Filar, J., & Chatterjee, K. (2020). Prioritised
learning in snowdrift-type games. Mathematics. MDPI. https://doi.org/10.3390/math8111945
chicago: Kleshnina, Maria, Sabrina Streipert, Jerzy Filar, and Krishnendu Chatterjee.
“Prioritised Learning in Snowdrift-Type Games.” Mathematics. MDPI, 2020.
https://doi.org/10.3390/math8111945.
ieee: M. Kleshnina, S. Streipert, J. Filar, and K. Chatterjee, “Prioritised learning
in snowdrift-type games,” Mathematics, vol. 8, no. 11. MDPI, 2020.
ista: Kleshnina M, Streipert S, Filar J, Chatterjee K. 2020. Prioritised learning
in snowdrift-type games. Mathematics. 8(11), 1945.
mla: Kleshnina, Maria, et al. “Prioritised Learning in Snowdrift-Type Games.” Mathematics,
vol. 8, no. 11, 1945, MDPI, 2020, doi:10.3390/math8111945.
short: M. Kleshnina, S. Streipert, J. Filar, K. Chatterjee, Mathematics 8 (2020).
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-04T00:00:00Z
date_updated: 2023-08-22T13:25:45Z
day: '04'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.3390/math8111945
ec_funded: 1
external_id:
isi:
- '000593962100001'
file:
- access_level: open_access
checksum: 61cfcc3b35760656ce7a9385a4ace5d2
content_type: application/pdf
creator: dernst
date_created: 2020-11-23T13:06:30Z
date_updated: 2020-11-23T13:06:30Z
file_id: '8797'
file_name: 2020_Mathematics_Kleshnina.pdf
file_size: 565191
relation: main_file
success: 1
file_date_updated: 2020-11-23T13:06:30Z
has_accepted_license: '1'
intvolume: ' 8'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Mathematics
publication_identifier:
eissn:
- '22277390'
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: Prioritised learning in snowdrift-type games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 8
year: '2020'
...
---
_id: '8788'
abstract:
- lang: eng
text: 'We consider a real-time setting where an environment releases sequences of
firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute
on a single processor so as to maximize cumulated utility. The competitive ratio
is a well-known performance measure for the scheduler: it gives the worst-case
ratio, among all possible choices for the environment, of the cumulated utility
of the online scheduler versus an offline scheduler that knows these choices in
advance. Traditionally, competitive analysis is performed by hand, while automated
techniques are rare and only handle static environments with independent tasks.
We present a quantitative-verification framework for precedence-aware competitive
analysis, where task releases may depend on preceding scheduling choices, i.e.,
the environment can respond to scheduling decisions dynamically . We consider
two general classes of precedences: 1) follower precedences force the release
of a dependent task upon the completion of a set of precursor tasks, while and
2) pairing precedences modify the characteristics of a dependent task provided
the completion of a set of precursor tasks. Precedences make competitive analysis
challenging, as the online and offline schedulers operate on diverging sequences.
We make a formal presentation of our framework, and use a GPU-based implementation
to analyze ten well-known schedulers on precedence-based application examples
taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching;
3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental
results show that precedences and task parameters can vary drastically the best
scheduler. Our framework thus supports application designers in choosing the best
scheduler among a given set automatically.'
acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF)
under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented
in the International Conference on Embedded Software 2020 and appears as part of
the ESWEEK-TCAD special issue. '
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Nico
full_name: Schaumberger, Nico
last_name: Schaumberger
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated
competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
Design of Integrated Circuits and Systems. 2020;39(11):3981-3992. doi:10.1109/TCAD.2020.3012803
apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., & Chatterjee, K. (2020).
Precedence-aware automated competitive analysis of real-time scheduling. IEEE
Transactions on Computer-Aided Design of Integrated Circuits and Systems.
IEEE. https://doi.org/10.1109/TCAD.2020.3012803
chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu
Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.”
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.
IEEE, 2020. https://doi.org/10.1109/TCAD.2020.3012803.
ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware
automated competitive analysis of real-time scheduling,” IEEE Transactions
on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no.
11. IEEE, pp. 3981–3992, 2020.
ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware
automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
Design of Integrated Circuits and Systems. 39(11), 3981–3992.
mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis
of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated
Circuits and Systems, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:10.1109/TCAD.2020.3012803.
short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions
on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992.
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-08-22T13:27:05Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/TCAD.2020.3012803
external_id:
isi:
- '000587712700069'
intvolume: ' 39'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa_version: None
page: 3981-3992
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and
Systems
publication_identifier:
eissn:
- '19374151'
issn:
- '02780070'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Precedence-aware automated competitive analysis of real-time scheduling
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 39
year: '2020'
...
---
_id: '9197'
abstract:
- lang: eng
text: In this paper we introduce and study all-pay bidding games, a class of two
player, zero-sum games on graphs. The game proceeds as follows. We place a token
on some vertex in the graph and assign budgets to the two players. Each turn,
each player submits a sealed legal bid (non-negative and below their remaining
budget), which is deducted from their budget and the highest bidder moves the
token onto an adjacent vertex. The game ends once a sink is reached, and Player
1 pays Player 2 the outcome that is associated with the sink. The players attempt
to maximize their expected outcome. Our games model settings where effort (of
no inherent value) needs to be invested in an ongoing and stateful manner. On
the negative side, we show that even in simple games on DAGs, optimal strategies
may require a distribution over bids with infinite support. A central quantity
in bidding games is the ratio of the players budgets. On the positive side, we
show a simple FPTAS for DAGs, that, for each budget ratio, outputs an approximation
for the optimal strategy for that ratio. We also implement it, show that it performs
well, and suggests interesting properties of these games. Then, given an outcome
c, we show an algorithm for finding the necessary and sufficient initial ratio
for guaranteeing outcome c with probability 1 and a strategy ensuring such. Finally,
while the general case has not previously been studied, solving the specific game
in which Player 1 wins iff he wins the first two auctions, has been long stated
as an open question, which we solve.
acknowledgement: This research was supported by the Austrian Science Fund (FWF) under
grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner
fellowship).
article_processing_charge: No
article_type: original
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
citation:
ama: Avni G, Ibsen-Jensen R, Tkadlec J. All-pay bidding games on graphs. Proceedings
of the AAAI Conference on Artificial Intelligence. 2020;34(02):1798-1805.
doi:10.1609/aaai.v34i02.5546
apa: 'Avni, G., Ibsen-Jensen, R., & Tkadlec, J. (2020). All-pay bidding games
on graphs. Proceedings of the AAAI Conference on Artificial Intelligence.
New York, NY, United States: Association for the Advancement of Artificial Intelligence.
https://doi.org/10.1609/aaai.v34i02.5546'
chicago: Avni, Guy, Rasmus Ibsen-Jensen, and Josef Tkadlec. “All-Pay Bidding Games
on Graphs.” Proceedings of the AAAI Conference on Artificial Intelligence.
Association for the Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i02.5546.
ieee: G. Avni, R. Ibsen-Jensen, and J. Tkadlec, “All-pay bidding games on graphs,”
Proceedings of the AAAI Conference on Artificial Intelligence, vol. 34,
no. 02. Association for the Advancement of Artificial Intelligence, pp. 1798–1805,
2020.
ista: Avni G, Ibsen-Jensen R, Tkadlec J. 2020. All-pay bidding games on graphs.
Proceedings of the AAAI Conference on Artificial Intelligence. 34(02), 1798–1805.
mla: Avni, Guy, et al. “All-Pay Bidding Games on Graphs.” Proceedings of the
AAAI Conference on Artificial Intelligence, vol. 34, no. 02, Association for
the Advancement of Artificial Intelligence, 2020, pp. 1798–805, doi:10.1609/aaai.v34i02.5546.
short: G. Avni, R. Ibsen-Jensen, J. Tkadlec, Proceedings of the AAAI Conference
on Artificial Intelligence 34 (2020) 1798–1805.
conference:
end_date: 2020-02-12
location: New York, NY, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2020-02-07
date_created: 2021-02-25T09:05:18Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2023-09-05T12:40:00Z
day: '03'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v34i02.5546
external_id:
arxiv:
- '1911.08360'
intvolume: ' 34'
issue: '02'
language:
- iso: eng
month: '04'
oa_version: Preprint
page: 1798-1805
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
publication: Proceedings of the AAAI Conference on Artificial Intelligence
publication_identifier:
eissn:
- 2374-3468
isbn:
- '9781577358350'
issn:
- 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: All-pay bidding games on graphs
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 34
year: '2020'
...
---
_id: '7343'
abstract:
- lang: eng
text: Coinfections with multiple pathogens can result in complex within‐host dynamics
affecting virulence and transmission. While multiple infections are intensively
studied in solitary hosts, it is so far unresolved how social host interactions
interfere with pathogen competition, and if this depends on coinfection diversity.
We studied how the collective disease defences of ants – their social immunity
– influence pathogen competition in coinfections of same or different fungal pathogen
species. Social immunity reduced virulence for all pathogen combinations, but
interfered with spore production only in different‐species coinfections. Here,
it decreased overall pathogen sporulation success while increasing co‐sporulation
on individual cadavers and maintaining a higher pathogen diversity at the community
level. Mathematical modelling revealed that host sanitary care alone can modulate
competitive outcomes between pathogens, giving advantage to fast‐germinating,
thus less grooming‐sensitive ones. Host social interactions can hence modulate
infection dynamics in coinfected group members, thereby altering pathogen communities
at the host level and population level.
acknowledged_ssus:
- _id: LifeSc
acknowledgement: "We thank Bernhardt Steinwender and Jorgen Eilenberg for the fungal
strains, Xavier Espadaler, Mireia Diaz, Christiane Wanke, Lumi Viljakainen and the
Social Immunity Team at IST Austria, for help with ant collection, and Wanda Gorecka
and Gertraud Stift of the IST Austria Life Science Facility for technical support.
We are thankful to Dieter Ebert for input at all stages of the project, Roger Mundry
for statistical advice, Hinrich Schulenburg, Paul Schmid-Hempel, Yuko\r\nUlrich
and Joachim Kurtz for project discussion, Bor Kavcic for advice on growth curves,
Marcus Roper for advice on modelling work and comments on the manuscript, as well
as Marjon de Vos, Weini Huang and the Social Immunity Team for comments on the manuscript.\r\nThis
study was funded by the German Research Foundation (DFG) within the Priority Programme
1399 Host-parasite Coevolution (CR 118/3 to S.C.) and the People Programme\r\n(Marie
Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013)
under REA grant agreement no 291734 (ISTFELLOW to B.M.). "
article_processing_charge: Yes (via OA deal)
article_type: letter_note
author:
- first_name: Barbara
full_name: Milutinovic, Barbara
id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87
last_name: Milutinovic
orcid: 0000-0002-8214-4758
- first_name: Miriam
full_name: Stock, Miriam
id: 42462816-F248-11E8-B48F-1D18A9856A87
last_name: Stock
- first_name: Anna V
full_name: Grasse, Anna V
id: 406F989C-F248-11E8-B48F-1D18A9856A87
last_name: Grasse
- first_name: Elisabeth
full_name: Naderlinger, Elisabeth
id: 31757262-F248-11E8-B48F-1D18A9856A87
last_name: Naderlinger
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Sylvia
full_name: Cremer, Sylvia
id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
last_name: Cremer
orcid: 0000-0002-2193-3868
citation:
ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social
immunity modulates competition between coinfecting pathogens. Ecology Letters.
2020;23(3):565-574. doi:10.1111/ele.13458
apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., &
Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens.
Ecology Letters. Wiley. https://doi.org/10.1111/ele.13458
chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger,
Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between
Coinfecting Pathogens.” Ecology Letters. Wiley, 2020. https://doi.org/10.1111/ele.13458.
ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer,
“Social immunity modulates competition between coinfecting pathogens,” Ecology
Letters, vol. 23, no. 3. Wiley, pp. 565–574, 2020.
ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020.
Social immunity modulates competition between coinfecting pathogens. Ecology Letters.
23(3), 565–574.
mla: Milutinovic, Barbara, et al. “Social Immunity Modulates Competition between
Coinfecting Pathogens.” Ecology Letters, vol. 23, no. 3, Wiley, 2020, pp.
565–74, doi:10.1111/ele.13458.
short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer,
Ecology Letters 23 (2020) 565–574.
date_created: 2020-01-20T13:32:12Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-09-05T16:04:49Z
day: '01'
ddc:
- '570'
department:
- _id: SyCr
- _id: KrCh
doi: 10.1111/ele.13458
ec_funded: 1
external_id:
isi:
- '000507515900001'
file:
- access_level: open_access
checksum: 0cd8be386fa219db02845b7c3991ce04
content_type: application/pdf
creator: dernst
date_created: 2020-11-19T11:27:10Z
date_updated: 2020-11-19T11:27:10Z
file_id: '8776'
file_name: 2020_EcologyLetters_Milutinovic.pdf
file_size: 561749
relation: main_file
success: 1
file_date_updated: 2020-11-19T11:27:10Z
has_accepted_license: '1'
intvolume: ' 23'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 565-574
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25DAF0B2-B435-11E9-9278-68D0E5697425
grant_number: CR-118/3-1
name: Host-Parasite Coevolution
publication: Ecology Letters
publication_identifier:
eissn:
- 1461-0248
issn:
- 1461-023X
publication_status: published
publisher: Wiley
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/social-ants-shapes-disease-outcome/
record:
- id: '13060'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Social immunity modulates competition between coinfecting pathogens
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2020'
...
---
_id: '13060'
abstract:
- lang: eng
text: Coinfections with multiple pathogens can result in complex within-host dynamics
affecting virulence and transmission. Whilst multiple infections are intensively
studied in solitary hosts, it is so far unresolved how social host interactions
interfere with pathogen competition, and if this depends on coinfection diversity.
We studied how the collective disease defenses of ants – their social immunity
– influence pathogen competition in coinfections of same or different fungal
pathogen species. Social immunity reduced virulence for all pathogen combinations,
but interfered with spore production only in different-species coinfections. Here,
it decreased overall pathogen sporulation success, whilst simultaneously increasing
co-sporulation on individual cadavers and maintaining a higher pathogen diversity
at the community-level. Mathematical modeling revealed that host sanitary care
alone can modulate competitive outcomes between pathogens, giving advantage to
fast-germinating, thus less grooming-sensitive ones. Host social interactions
can hence modulate infection dynamics in coinfected group members, thereby altering
pathogen communities at the host- and population-level.
article_processing_charge: No
author:
- first_name: Barbara
full_name: Milutinovic, Barbara
id: 2CDC32B8-F248-11E8-B48F-1D18A9856A87
last_name: Milutinovic
orcid: 0000-0002-8214-4758
- first_name: Miriam
full_name: Stock, Miriam
id: 42462816-F248-11E8-B48F-1D18A9856A87
last_name: Stock
- first_name: Anna V
full_name: Grasse, Anna V
id: 406F989C-F248-11E8-B48F-1D18A9856A87
last_name: Grasse
- first_name: Elisabeth
full_name: Naderlinger, Elisabeth
id: 31757262-F248-11E8-B48F-1D18A9856A87
last_name: Naderlinger
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Sylvia
full_name: Cremer, Sylvia
id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
last_name: Cremer
orcid: 0000-0002-2193-3868
citation:
ama: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. Social
immunity modulates competition between coinfecting pathogens. 2020. doi:10.5061/DRYAD.CRJDFN318
apa: Milutinovic, B., Stock, M., Grasse, A. V., Naderlinger, E., Hilbe, C., &
Cremer, S. (2020). Social immunity modulates competition between coinfecting pathogens.
Dryad. https://doi.org/10.5061/DRYAD.CRJDFN318
chicago: Milutinovic, Barbara, Miriam Stock, Anna V Grasse, Elisabeth Naderlinger,
Christian Hilbe, and Sylvia Cremer. “Social Immunity Modulates Competition between
Coinfecting Pathogens.” Dryad, 2020. https://doi.org/10.5061/DRYAD.CRJDFN318.
ieee: B. Milutinovic, M. Stock, A. V. Grasse, E. Naderlinger, C. Hilbe, and S. Cremer,
“Social immunity modulates competition between coinfecting pathogens.” Dryad,
2020.
ista: Milutinovic B, Stock M, Grasse AV, Naderlinger E, Hilbe C, Cremer S. 2020.
Social immunity modulates competition between coinfecting pathogens, Dryad, 10.5061/DRYAD.CRJDFN318.
mla: Milutinovic, Barbara, et al. Social Immunity Modulates Competition between
Coinfecting Pathogens. Dryad, 2020, doi:10.5061/DRYAD.CRJDFN318.
short: B. Milutinovic, M. Stock, A.V. Grasse, E. Naderlinger, C. Hilbe, S. Cremer,
(2020).
date_created: 2023-05-23T16:11:22Z
date_published: 2020-12-19T00:00:00Z
date_updated: 2023-09-05T16:04:48Z
day: '19'
ddc:
- '570'
department:
- _id: SyCr
- _id: KrCh
doi: 10.5061/DRYAD.CRJDFN318
main_file_link:
- open_access: '1'
url: https://doi.org/10.5061/dryad.crjdfn318
month: '12'
oa: 1
oa_version: Published Version
publisher: Dryad
related_material:
record:
- id: '7343'
relation: used_in_publication
status: public
status: public
title: Social immunity modulates competition between coinfecting pathogens
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
name: Creative Commons Public Domain Dedication (CC0 1.0)
short: CC0 (1.0)
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '8193'
abstract:
- lang: eng
text: 'Multiple-environment Markov decision processes (MEMDPs) are MDPs equipped
with not one, but multiple probabilistic transition functions, which represent
the various possible unknown environments. While the previous research on MEMDPs
focused on theoretical properties for long-run average payoff, we study them with
discounted-sum payoff and focus on their practical advantages and applications.
MEMDPs can be viewed as a special case of Partially observable and Mixed observability
MDPs: the state of the system is perfectly observable, but not the environment.
We show that the specific structure of MEMDPs allows for more efficient algorithmic
analysis, in particular for faster belief updates. We demonstrate the applicability
of MEMDPs in several domains. In particular, we formalize the sequential decision-making
approach to contextual recommendation systems as MEMDPs and substantially improve
over the previous MDP approach.'
acknowledgement: Krishnendu Chatterjee is supported by the Austrian ScienceFund (FWF)
NFN Grant No. S11407-N23 (RiSE/SHiNE),and COST Action GAMENET. Petr Novotn ́y is
supported bythe Czech Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Deep
full_name: Karkhanis, Deep
last_name: Karkhanis
- first_name: Petr
full_name: Novotný, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotný
- first_name: Amélie
full_name: Royer, Amélie
id: 3811D890-F248-11E8-B48F-1D18A9856A87
last_name: Royer
orcid: 0000-0002-8407-0705
citation:
ama: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. Multiple-environment
Markov decision processes: Efficient analysis and applications. In: Proceedings
of the 30th International Conference on Automated Planning and Scheduling.
Vol 30. Association for the Advancement of Artificial Intelligence; 2020:48-56.'
apa: 'Chatterjee, K., Chmelik, M., Karkhanis, D., Novotný, P., & Royer, A. (2020).
Multiple-environment Markov decision processes: Efficient analysis and applications.
In Proceedings of the 30th International Conference on Automated Planning and
Scheduling (Vol. 30, pp. 48–56). Nancy, France: Association for the Advancement
of Artificial Intelligence.'
chicago: 'Chatterjee, Krishnendu, Martin Chmelik, Deep Karkhanis, Petr Novotný,
and Amélie Royer. “Multiple-Environment Markov Decision Processes: Efficient Analysis
and Applications.” In Proceedings of the 30th International Conference on Automated
Planning and Scheduling, 30:48–56. Association for the Advancement of Artificial
Intelligence, 2020.'
ieee: 'K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, and A. Royer, “Multiple-environment
Markov decision processes: Efficient analysis and applications,” in Proceedings
of the 30th International Conference on Automated Planning and Scheduling,
Nancy, France, 2020, vol. 30, pp. 48–56.'
ista: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. 2020. Multiple-environment
Markov decision processes: Efficient analysis and applications. Proceedings of
the 30th International Conference on Automated Planning and Scheduling. ICAPS:
International Conference on Automated Planning and Scheduling vol. 30, 48–56.'
mla: 'Chatterjee, Krishnendu, et al. “Multiple-Environment Markov Decision Processes:
Efficient Analysis and Applications.” Proceedings of the 30th International
Conference on Automated Planning and Scheduling, vol. 30, Association for
the Advancement of Artificial Intelligence, 2020, pp. 48–56.'
short: K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, A. Royer, in:, Proceedings
of the 30th International Conference on Automated Planning and Scheduling, Association
for the Advancement of Artificial Intelligence, 2020, pp. 48–56.
conference:
end_date: 2020-10-30
location: Nancy, France
name: 'ICAPS: International Conference on Automated Planning and Scheduling'
start_date: 2020-10-26
date_created: 2020-08-02T22:00:58Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-09-07T13:16:18Z
day: '01'
department:
- _id: KrCh
intvolume: ' 30'
language:
- iso: eng
month: '06'
oa_version: None
page: 48-56
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Proceedings of the 30th International Conference on Automated Planning
and Scheduling
publication_identifier:
eissn:
- '23340843'
issn:
- '23340835'
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
related_material:
record:
- id: '8390'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Multiple-environment Markov decision processes: Efficient analysis and applications'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 30
year: '2020'
...
---
_id: '8272'
abstract:
- lang: eng
text: We study turn-based stochastic zero-sum games with lexicographic preferences
over reachability and safety objectives. Stochastic games are standard models
in control, verification, and synthesis of stochastic reactive systems that exhibit
both randomness as well as angelic and demonic non-determinism. Lexicographic
order allows to consider multiple objectives with a strict preference order over
the satisfaction of the objectives. To the best of our knowledge, stochastic games
with lexicographic objectives have not been studied before. We establish determinacy
of such games and present strategy and computational complexity results. For strategy
complexity, we show that lexicographically optimal strategies exist that are deterministic
and memory is only required to remember the already satisfied and violated objectives.
For a constant number of objectives, we show that the relevant decision problem
is in NP∩coNP , matching the current known bound for single objectives; and
in general the decision problem is PSPACE -hard and can be solved in NEXPTIME∩coNEXPTIME
. We present an algorithm that computes the lexicographically optimal strategies
via a reduction to computation of optimal strategies in a sequence of single-objectives
games. We have implemented our algorithm and report experimental results on various
case studies.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Joost P
full_name: Katoen, Joost P
id: 4524F760-F248-11E8-B48F-1D18A9856A87
last_name: Katoen
- first_name: Maximilian
full_name: Weininger, Maximilian
last_name: Weininger
- first_name: Tobias
full_name: Winkler, Tobias
last_name: Winkler
citation:
ama: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. Stochastic games with lexicographic
reachability-safety objectives. In: International Conference on Computer Aided
Verification. Vol 12225. Springer Nature; 2020:398-420. doi:10.1007/978-3-030-53291-8_21'
apa: Chatterjee, K., Katoen, J. P., Weininger, M., & Winkler, T. (2020). Stochastic
games with lexicographic reachability-safety objectives. In International Conference
on Computer Aided Verification (Vol. 12225, pp. 398–420). Springer Nature.
https://doi.org/10.1007/978-3-030-53291-8_21
chicago: Chatterjee, Krishnendu, Joost P Katoen, Maximilian Weininger, and Tobias
Winkler. “Stochastic Games with Lexicographic Reachability-Safety Objectives.”
In International Conference on Computer Aided Verification, 12225:398–420.
Springer Nature, 2020. https://doi.org/10.1007/978-3-030-53291-8_21.
ieee: K. Chatterjee, J. P. Katoen, M. Weininger, and T. Winkler, “Stochastic games
with lexicographic reachability-safety objectives,” in International Conference
on Computer Aided Verification, 2020, vol. 12225, pp. 398–420.
ista: 'Chatterjee K, Katoen JP, Weininger M, Winkler T. 2020. Stochastic games with
lexicographic reachability-safety objectives. International Conference on Computer
Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 12225, 398–420.'
mla: Chatterjee, Krishnendu, et al. “Stochastic Games with Lexicographic Reachability-Safety
Objectives.” International Conference on Computer Aided Verification, vol.
12225, Springer Nature, 2020, pp. 398–420, doi:10.1007/978-3-030-53291-8_21.
short: K. Chatterjee, J.P. Katoen, M. Weininger, T. Winkler, in:, International
Conference on Computer Aided Verification, Springer Nature, 2020, pp. 398–420.
conference:
name: 'CAV: Computer Aided Verification'
date_created: 2020-08-16T22:00:58Z
date_published: 2020-07-14T00:00:00Z
date_updated: 2023-10-03T11:36:13Z
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ddc:
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department:
- _id: KrCh
doi: 10.1007/978-3-030-53291-8_21
ec_funded: 1
external_id:
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oa: 1
oa_version: Published Version
page: 398-420
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: International Conference on Computer Aided Verification
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030532901'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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relation: later_version
status: public
scopus_import: '1'
status: public
title: Stochastic games with lexicographic reachability-safety objectives
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12225
year: '2020'
...
---
_id: '8671'
abstract:
- lang: eng
text: 'We study relations between evidence theory and S-approximation spaces. Both
theories have their roots in the analysis of Dempsterchr(''39'')s multivalued
mappings and lower and upper probabilities, and have close relations to rough
sets. We show that an S-approximation space, satisfying a monotonicity condition,
can induce a natural belief structure which is a fundamental block in evidence
theory. We also demonstrate that one can induce a natural belief structure on
one set, given a belief structure on another set, if the two sets are related
by a partial monotone S-approximation space. '
acknowledgement: We are very grateful to the anonymous reviewer for detailed comments
and suggestions that significantly improved the presentation of this paper. The
research was partially supported by a DOC fellowship of the Austrian Academy of
Sciences.
article_processing_charge: No
article_type: original
author:
- first_name: A.
full_name: Shakiba, A.
last_name: Shakiba
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: M.R.
full_name: Hooshmandasl, M.R.
last_name: Hooshmandasl
- first_name: M.
full_name: Alambardar Meybodi, M.
last_name: Alambardar Meybodi
citation:
ama: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on
belief structures and s-approximation spaces. Iranian Journal of Mathematical
Sciences and Informatics. 2020;15(2):117-128. doi:10.29252/ijmsi.15.2.117
apa: Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., & Alambardar Meybodi,
M. (2020). A note on belief structures and s-approximation spaces. Iranian
Journal of Mathematical Sciences and Informatics. Iranian Academic Center
for Education, Culture and Research. https://doi.org/10.29252/ijmsi.15.2.117
chicago: Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar
Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” Iranian
Journal of Mathematical Sciences and Informatics. Iranian Academic Center
for Education, Culture and Research, 2020. https://doi.org/10.29252/ijmsi.15.2.117.
ieee: A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi,
“A note on belief structures and s-approximation spaces,” Iranian Journal of
Mathematical Sciences and Informatics, vol. 15, no. 2. Iranian Academic Center
for Education, Culture and Research, pp. 117–128, 2020.
ista: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. 2020. A note
on belief structures and s-approximation spaces. Iranian Journal of Mathematical
Sciences and Informatics. 15(2), 117–128.
mla: Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.”
Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no.
2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28,
doi:10.29252/ijmsi.15.2.117.
short: A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian
Journal of Mathematical Sciences and Informatics 15 (2020) 117–128.
date_created: 2020-10-18T22:01:36Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2023-10-16T09:25:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.29252/ijmsi.15.2.117
external_id:
arxiv:
- '1805.10672'
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month: '10'
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oa_version: Submitted Version
page: 117-128
project:
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Iranian Journal of Mathematical Sciences and Informatics
publication_identifier:
eissn:
- 2008-9473
issn:
- 1735-4463
publication_status: published
publisher: Iranian Academic Center for Education, Culture and Research
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on belief structures and s-approximation spaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2020'
...
---
_id: '7212'
abstract:
- lang: eng
text: The fixation probability of a single mutant invading a population of residents
is among the most widely-studied quantities in evolutionary dynamics. Amplifiers
of natural selection are population structures that increase the fixation probability
of advantageous mutants, compared to well-mixed populations. Extensive studies
have shown that many amplifiers exist for the Birth-death Moran process, some
of them substantially increasing the fixation probability or even guaranteeing
fixation in the limit of large population size. On the other hand, no amplifiers
are known for the death-Birth Moran process, and computer-assisted exhaustive
searches have failed to discover amplification. In this work we resolve this disparity,
by showing that any amplification under death-Birth updating is necessarily bounded
and transient. Our boundedness result states that even if a population structure
does amplify selection, the resulting fixation probability is close to that of
the well-mixed population. Our transience result states that for any population
structure there exists a threshold r⋆ such that the population structure ceases
to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally,
we also extend the above results to δ-death-Birth updating, which is a combination
of Birth-death and death-Birth updating. On the positive side, we identify population
structures that maintain amplification for a wide range of values r and δ. These
results demonstrate that amplification of natural selection depends on the specific
mechanisms of the evolutionary process.
article_number: e1007494
article_processing_charge: No
article_type: original
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of
natural selection under death-Birth updating. PLoS computational biology.
2020;16. doi:10.1371/journal.pcbi.1007494
apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2020). Limits
on amplifiers of natural selection under death-Birth updating. PLoS Computational
Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1007494
chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.”
PLoS Computational Biology. Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1007494.
ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers
of natural selection under death-Birth updating,” PLoS computational biology,
vol. 16. Public Library of Science, 2020.
ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers
of natural selection under death-Birth updating. PLoS computational biology. 16,
e1007494.
mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth
Updating.” PLoS Computational Biology, vol. 16, e1007494, Public Library
of Science, 2020, doi:10.1371/journal.pcbi.1007494.
short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational
Biology 16 (2020).
date_created: 2019-12-23T13:45:11Z
date_published: 2020-01-17T00:00:00Z
date_updated: 2023-10-17T12:29:47Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1007494
ec_funded: 1
external_id:
arxiv:
- '1906.02785'
isi:
- '000510916500025'
file:
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creator: dernst
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date_updated: 2020-07-14T12:47:53Z
file_id: '7441'
file_name: 2020_PlosCompBio_Tkadlec.pdf
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isi: 1
language:
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month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: PLoS computational biology
publication_identifier:
eissn:
- '15537358'
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
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relation: part_of_dissertation
status: public
scopus_import: '1'
status: public
title: Limits on amplifiers of natural selection under death-Birth updating
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '7196'
abstract:
- lang: eng
text: 'In this thesis we study certain mathematical aspects of evolution. The two
primary forces that drive an evolutionary process are mutation and selection.
Mutation generates new variants in a population. Selection chooses among the variants
depending on the reproductive rates of individuals. Evolutionary processes are
intrinsically random – a new mutation that is initially present in the population
at low frequency can go extinct, even if it confers a reproductive advantage.
The overall rate of evolution is largely determined by two quantities: the probability
that an invading advantageous mutation spreads through the population (called
fixation probability) and the time until it does so (called fixation time). Both
those quantities crucially depend not only on the strength of the invading mutation
but also on the population structure. In this thesis, we aim to understand how
the underlying population structure affects the overall rate of evolution. Specifically,
we study population structures that increase the fixation probability of advantageous
mutants (called amplifiers of selection). Broadly speaking, our results are of
three different types: We present various strong amplifiers, we identify regimes
under which only limited amplification is feasible, and we propose population
structures that provide different tradeoffs between high fixation probability
and short fixation time.'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
citation:
ama: Tkadlec J. A role of graphs in evolutionary processes. 2020. doi:10.15479/AT:ISTA:7196
apa: Tkadlec, J. (2020). A role of graphs in evolutionary processes. Institute
of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:7196
chicago: Tkadlec, Josef. “A Role of Graphs in Evolutionary Processes.” Institute
of Science and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:7196.
ieee: J. Tkadlec, “A role of graphs in evolutionary processes,” Institute of Science
and Technology Austria, 2020.
ista: Tkadlec J. 2020. A role of graphs in evolutionary processes. Institute of
Science and Technology Austria.
mla: Tkadlec, Josef. A Role of Graphs in Evolutionary Processes. Institute
of Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:7196.
short: J. Tkadlec, A Role of Graphs in Evolutionary Processes, Institute of Science
and Technology Austria, 2020.
date_created: 2019-12-20T12:26:36Z
date_published: 2020-01-12T00:00:00Z
date_updated: 2023-10-17T12:29:46Z
day: '12'
ddc:
- '519'
degree_awarded: PhD
department:
- _id: KrCh
- _id: GradSch
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creator: dernst
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file_id: '7367'
file_name: 2020_Tkadlec_Thesis.pdf
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language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '144'
publication_identifier:
eissn:
- 2663-337X
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publisher: Institute of Science and Technology Austria
related_material:
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relation: dissertation_contains
status: public
- id: '5751'
relation: dissertation_contains
status: public
- id: '7212'
relation: dissertation_contains
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: A role of graphs in evolutionary processes
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
---
_id: '9814'
abstract:
- lang: eng
text: Data and mathematica notebooks for plotting figures from Language learning
with communication between learners
article_processing_charge: No
author:
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Data and mathematica notebooks
for plotting figures from language learning with communication between learners
from language acquisition with communication between learners. 2020. doi:10.6084/m9.figshare.5973013.v1
apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2020). Data
and mathematica notebooks for plotting figures from language learning with communication
between learners from language acquisition with communication between learners.
Royal Society. https://doi.org/10.6084/m9.figshare.5973013.v1
chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning
with Communication between Learners from Language Acquisition with Communication
between Learners.” Royal Society, 2020. https://doi.org/10.6084/m9.figshare.5973013.v1.
ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica
notebooks for plotting figures from language learning with communication between
learners from language acquisition with communication between learners.” Royal
Society, 2020.
ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica
notebooks for plotting figures from language learning with communication between
learners from language acquisition with communication between learners, Royal
Society, 10.6084/m9.figshare.5973013.v1.
mla: Ibsen-Jensen, Rasmus, et al. Data and Mathematica Notebooks for Plotting
Figures from Language Learning with Communication between Learners from Language
Acquisition with Communication between Learners. Royal Society, 2020, doi:10.6084/m9.figshare.5973013.v1.
short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020).
date_created: 2021-08-06T13:09:57Z
date_published: 2020-10-15T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '15'
department:
- _id: KrCh
doi: 10.6084/m9.figshare.5973013.v1
main_file_link:
- open_access: '1'
url: https://doi.org/10.6084/m9.figshare.5973013.v1
month: '10'
oa: 1
oa_version: Published Version
publisher: Royal Society
related_material:
record:
- id: '198'
relation: used_in_publication
status: public
status: public
title: Data and mathematica notebooks for plotting figures from language learning
with communication between learners from language acquisition with communication
between learners
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2020'
...
---
_id: '8324'
abstract:
- lang: eng
text: The notion of program sensitivity (aka Lipschitz continuity) specifies that
changes in the program input result in proportional changes to the program output.
For probabilistic programs the notion is naturally extended to expected sensitivity.
A previous approach develops a relational program logic framework for proving
expected sensitivity of probabilistic while loops, where the number of iterations
is fixed and bounded. In this work, we consider probabilistic while loops where
the number of iterations is not fixed, but randomized and depends on the initial
input values. We present a sound approach for proving expected sensitivity of
such programs. Our sound approach is martingale-based and can be automated through
existing martingale-synthesis algorithms. Furthermore, our approach is compositional
for sequential composition of while loops under a mild side condition. We demonstrate
the effectiveness of our approach on several classical examples from Gambler's
Ruin, stochastic hybrid systems and stochastic gradient descent. We also present
experimental results showing that our automated approach can handle various probabilistic
programs in the literature.
acknowledgement: We thank anonymous reviewers for helpful comments, especially for
pointing to us a scenario of piecewise-linear approximation (Remark5). The research
was partially supported by the National Natural Science Foundation of China (NSFC)
under Grant No. 61802254, 61672229, 61832015,61772336,11871221 and Austrian Science
Fund (FWF) NFN under Grant No. S11407-N23 (RiSE/SHiNE). We thank Prof. Yuxi Fu,
director of the BASICS Lab at Shanghai Jiao Tong University, for his support.
article_number: '25'
article_processing_charge: No
author:
- first_name: Peixin
full_name: Wang, Peixin
last_name: Wang
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Yuxin
full_name: Deng, Yuxin
last_name: Deng
- first_name: Ming
full_name: Xu, Ming
last_name: Xu
citation:
ama: 'Wang P, Fu H, Chatterjee K, Deng Y, Xu M. Proving expected sensitivity of
probabilistic programs with randomized variable-dependent termination time. In:
Proceedings of the ACM on Programming Languages. Vol 4. ACM; 2020. doi:10.1145/3371093'
apa: Wang, P., Fu, H., Chatterjee, K., Deng, Y., & Xu, M. (2020). Proving expected
sensitivity of probabilistic programs with randomized variable-dependent termination
time. In Proceedings of the ACM on Programming Languages (Vol. 4). ACM.
https://doi.org/10.1145/3371093
chicago: Wang, Peixin, Hongfei Fu, Krishnendu Chatterjee, Yuxin Deng, and Ming Xu.
“Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent
Termination Time.” In Proceedings of the ACM on Programming Languages,
Vol. 4. ACM, 2020. https://doi.org/10.1145/3371093.
ieee: P. Wang, H. Fu, K. Chatterjee, Y. Deng, and M. Xu, “Proving expected sensitivity
of probabilistic programs with randomized variable-dependent termination time,”
in Proceedings of the ACM on Programming Languages, 2020, vol. 4, no. POPL.
ista: Wang P, Fu H, Chatterjee K, Deng Y, Xu M. 2020. Proving expected sensitivity
of probabilistic programs with randomized variable-dependent termination time.
Proceedings of the ACM on Programming Languages. vol. 4, 25.
mla: Wang, Peixin, et al. “Proving Expected Sensitivity of Probabilistic Programs
with Randomized Variable-Dependent Termination Time.” Proceedings of the ACM
on Programming Languages, vol. 4, no. POPL, 25, ACM, 2020, doi:10.1145/3371093.
short: P. Wang, H. Fu, K. Chatterjee, Y. Deng, M. Xu, in:, Proceedings of the ACM
on Programming Languages, ACM, 2020.
date_created: 2020-08-30T22:01:12Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2024-02-22T15:16:45Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/3371093
external_id:
arxiv:
- '1902.04744'
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checksum: c6193d109ff4ecb17e7a6513d8eb34c0
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creator: cziletti
date_created: 2020-09-01T11:12:58Z
date_updated: 2020-09-01T11:12:58Z
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intvolume: ' 4'
issue: POPL
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://doi.org/10.5281/zenodo.3533633
scopus_import: '1'
status: public
title: Proving expected sensitivity of probabilistic programs with randomized variable-dependent
termination time
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2020'
...
---
_id: '15055'
abstract:
- lang: eng
text: Markov decision processes (MDPs) are the defacto framework for sequential
decision making in the presence of stochastic uncertainty. A classical optimization
criterion for MDPs is to maximize the expected discounted-sum payoff, which ignores
low probability catastrophic events with highly negative impact on the system.
On the other hand, risk-averse policies require the probability of undesirable
events to be below a given threshold, but they do not account for optimization
of the expected payoff. We consider MDPs with discounted-sum payoff with failure
states which represent catastrophic outcomes. The objective of risk-constrained
planning is to maximize the expected discounted-sum payoff among risk-averse policies
that ensure the probability to encounter a failure state is below a desired threshold.
Our main contribution is an efficient risk-constrained planning algorithm that
combines UCT-like search with a predictor learned through interaction with the
MDP (in the style of AlphaZero) and with a risk-constrained action selection via
linear programming. We demonstrate the effectiveness of our approach with experiments
on classical MDPs from the literature, including benchmarks with an order of 106
states.
acknowledgement: Krishnendu Chatterjee is supported by the Austrian Science Fund (FWF)
NFN Grant No. S11407-N23 (RiSE/SHiNE), and COST Action GAMENET. Tomas Brazdil is
supported by the Grant Agency of Masaryk University grant no. MUNI/G/0739/2017 and
by the Czech Science Foundation grant No. 18-11193S. Petr Novotny and Jirı Vahala
are supported by the Czech Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
article_type: original
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Petr
full_name: Novotný, Petr
last_name: Novotný
- first_name: Jiří
full_name: Vahala, Jiří
last_name: Vahala
citation:
ama: Brázdil T, Chatterjee K, Novotný P, Vahala J. Reinforcement learning of risk-constrained
policies in Markov decision processes. Proceedings of the 34th AAAI Conference
on Artificial Intelligence. 2020;34(06):9794-9801. doi:10.1609/aaai.v34i06.6531
apa: 'Brázdil, T., Chatterjee, K., Novotný, P., & Vahala, J. (2020). Reinforcement
learning of risk-constrained policies in Markov decision processes. Proceedings
of the 34th AAAI Conference on Artificial Intelligence. New York, NY, United
States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v34i06.6531'
chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Petr Novotný, and Jiří Vahala. “Reinforcement
Learning of Risk-Constrained Policies in Markov Decision Processes.” Proceedings
of the 34th AAAI Conference on Artificial Intelligence. Association for the
Advancement of Artificial Intelligence, 2020. https://doi.org/10.1609/aaai.v34i06.6531.
ieee: T. Brázdil, K. Chatterjee, P. Novotný, and J. Vahala, “Reinforcement learning
of risk-constrained policies in Markov decision processes,” Proceedings of
the 34th AAAI Conference on Artificial Intelligence, vol. 34, no. 06. Association
for the Advancement of Artificial Intelligence, pp. 9794–9801, 2020.
ista: Brázdil T, Chatterjee K, Novotný P, Vahala J. 2020. Reinforcement learning
of risk-constrained policies in Markov decision processes. Proceedings of the
34th AAAI Conference on Artificial Intelligence. 34(06), 9794–9801.
mla: Brázdil, Tomáš, et al. “Reinforcement Learning of Risk-Constrained Policies
in Markov Decision Processes.” Proceedings of the 34th AAAI Conference on Artificial
Intelligence, vol. 34, no. 06, Association for the Advancement of Artificial
Intelligence, 2020, pp. 9794–801, doi:10.1609/aaai.v34i06.6531.
short: T. Brázdil, K. Chatterjee, P. Novotný, J. Vahala, Proceedings of the 34th
AAAI Conference on Artificial Intelligence 34 (2020) 9794–9801.
conference:
end_date: 2020-02-12
location: New York, NY, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2020-02-07
date_created: 2024-03-04T08:07:22Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2024-03-04T08:30:16Z
day: '03'
department:
- _id: KrCh
doi: 10.1609/aaai.v34i06.6531
external_id:
arxiv:
- '2002.12086'
intvolume: ' 34'
issue: '06'
keyword:
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2002.12086
month: '04'
oa: 1
oa_version: Preprint
page: 9794-9801
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Proceedings of the 34th AAAI Conference on Artificial Intelligence
publication_identifier:
issn:
- 2374-3468
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
status: public
title: Reinforcement learning of risk-constrained policies in Markov decision processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2020'
...