---
_id: '12101'
abstract:
- lang: eng
text: 'Spatial games form a widely-studied class of games from biology and physics
modeling the evolution of social behavior. Formally, such a game is defined by
a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G
represents an individual, that initially follows some strategy i ∈ {1,2,…,d}.
In each round of the game, every individual plays the matrix game with each of
its neighbors: An individual following strategy i meeting a neighbor following
strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual
updates its strategy to its neighbors'' strategy with the highest sum of payoffs,
and the next round starts. The basic computational problems consist of reachability
between configurations and the average frequency of a strategy. For general spatial
games and graphs, these problems are in PSPACE. In this paper, we examine restricted
setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove
that basic computational problems for spatial games with prisoner’s dilemma on
a subgraph of a grid are PSPACE-hard.'
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported
by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported
by the ERC CoG 863818 (ForM-SMArt)"
article_number: 11:1-11:14
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. Complexity of spatial
games. In: 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2022. doi:10.4230/LIPIcs.FSTTCS.2022.11'
apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2022).
Complexity of spatial games. In 42nd IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science (Vol. 250). Madras,
India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
Svoboda. “Complexity of Spatial Games.” In 42nd IARCS Annual Conference on
Foundations of Software Technology and Theoretical Computer Science, Vol.
250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11.
ieee: K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity
of spatial games,” in 42nd IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science, Madras, India, 2022, vol. 250.
ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial
games. 42nd IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science. FSTTC: Foundations of Software Technology and Theoretical
Computer Science vol. 250, 11:1-11:14.'
mla: Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” 42nd IARCS
Annual Conference on Foundations of Software Technology and Theoretical Computer
Science, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2022, doi:10.4230/LIPIcs.FSTTCS.2022.11.
short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS
Annual Conference on Foundations of Software Technology and Theoretical Computer
Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
end_date: 2022-12-20
location: Madras, India
name: 'FSTTC: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2022-12-18
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2023-02-13T09:06:43Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2022.11
ec_funded: 1
file:
- access_level: open_access
checksum: a21e3ba2421e2c4a06aa2cb6d530ede1
content_type: application/pdf
creator: dernst
date_created: 2023-01-20T10:19:19Z
date_updated: 2023-01-20T10:19:19Z
file_id: '12323'
file_name: 2022_LIPICs_Chatterjee.pdf
file_size: 657396
relation: main_file
success: 1
file_date_updated: 2023-01-20T10:19:19Z
has_accepted_license: '1'
intvolume: ' 250'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '12'
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: 42nd IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science
publication_identifier:
isbn:
- '9783959772617'
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Complexity of spatial 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: 250
year: '2022'
...
---
_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: '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: '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
license: https://creativecommons.org/licenses/by/3.0/
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: '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: '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: '7810'
abstract:
- lang: eng
text: "Interprocedural data-flow analyses form an expressive and useful paradigm
of numerous static analysis applications, such as live variables analysis, alias
analysis and null pointers analysis. The most widely-used framework for interprocedural
data-flow analysis is IFDS, which encompasses distributive data-flow functions
over a finite domain. On-demand data-flow analyses restrict the focus of the analysis
on specific program locations and data facts. This setting provides a natural
split between (i) an offline (or preprocessing) phase, where the program is partially
analyzed and analysis summaries are created, and (ii) an online (or query) phase,
where analysis queries arrive on demand and the summaries are used to speed up
answering queries.\r\nIn this work, we consider on-demand IFDS analyses where
the queries concern program locations of the same procedure (aka same-context
queries). We exploit the fact that flow graphs of programs have low treewidth
to develop faster algorithms that are space and time optimal for many common data-flow
analyses, in both the preprocessing and the query phase. We also use treewidth
to develop query solutions that are embarrassingly parallelizable, i.e. the total
work for answering each query is split to a number of threads such that each thread
performs only a constant amount of work. Finally, we implement a static analyzer
based on our algorithms, and perform a series of on-demand analysis experiments
on standard benchmarks. Our experimental results show a drastic speed-up of the
queries after only a lightweight preprocessing phase, which significantly outperforms
existing techniques."
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: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- 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, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. Optimal and perfectly
parallel algorithms for on-demand data-flow analysis. In: European Symposium
on Programming. Vol 12075. Springer Nature; 2020:112-140. doi:10.1007/978-3-030-44914-8_5'
apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A.
(2020). Optimal and perfectly parallel algorithms for on-demand data-flow analysis.
In European Symposium on Programming (Vol. 12075, pp. 112–140). Dublin,
Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-44914-8_5'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
and Andreas Pavlogiannis. “Optimal and Perfectly Parallel Algorithms for On-Demand
Data-Flow Analysis.” In European Symposium on Programming, 12075:112–40.
Springer Nature, 2020. https://doi.org/10.1007/978-3-030-44914-8_5.
ieee: K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal
and perfectly parallel algorithms for on-demand data-flow analysis,” in European
Symposium on Programming, Dublin, Ireland, 2020, vol. 12075, pp. 112–140.
ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2020. Optimal
and perfectly parallel algorithms for on-demand data-flow analysis. European Symposium
on Programming. ESOP: Programming Languages and Systems, LNCS, vol. 12075, 112–140.'
mla: Chatterjee, Krishnendu, et al. “Optimal and Perfectly Parallel Algorithms for
On-Demand Data-Flow Analysis.” European Symposium on Programming, vol.
12075, Springer Nature, 2020, pp. 112–40, doi:10.1007/978-3-030-44914-8_5.
short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, European
Symposium on Programming, Springer Nature, 2020, pp. 112–140.
conference:
end_date: 2020-04-30
location: Dublin, Ireland
name: 'ESOP: Programming Languages and Systems'
start_date: 2020-04-25
date_created: 2020-05-10T22:00:50Z
date_published: 2020-04-18T00:00:00Z
date_updated: 2024-03-28T23:30:34Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-44914-8_5
external_id:
isi:
- '000681656800005'
file:
- access_level: open_access
checksum: 8618b80f4cf7b39a60e61a6445ad9807
content_type: application/pdf
creator: dernst
date_created: 2020-05-26T13:34:48Z
date_updated: 2020-07-14T12:48:03Z
file_id: '7895'
file_name: 2020_LNCS_Chatterjee.pdf
file_size: 651250
relation: main_file
file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: ' 12075'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 112-140
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: European Symposium on Programming
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030449131'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Optimal and perfectly parallel algorithms for on-demand data-flow analysis
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: 12075
year: '2020'
...
---
_id: '6822'
abstract:
- lang: eng
text: "In two-player games on graphs, the players move a token through a graph to
produce an infinite path, which determines the qualitative winner or quantitative
payoff of the game. In bidding games, in each turn, we hold an auction between
the two players to determine which player moves the token. Bidding games have
largely been studied with concrete bidding mechanisms that are variants of a first-price
auction: in each turn both players simultaneously submit bids, the higher\r\nbidder
moves the token, and pays his bid to the lower bidder in Richman bidding, to the
bank in poorman bidding, and in taxman bidding, the bid is split between the other
player and the bank according to a predefined constant factor. Bidding games are
deterministic games. They have an intriguing connection with a fragment of stochastic
games called \r\n randomturn games. We study, for the first time, a combination
of bidding games with probabilistic behavior; namely, we study bidding games that
are played on Markov decision processes, where the players bid for the right to
choose the next action, which determines the probability distribution according
to which the next vertex is chosen. We study parity and meanpayoff bidding games
on MDPs and extend results from the deterministic bidding setting to the probabilistic
one."
alternative_title:
- LNCS
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- 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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Petr
full_name: Novotny, Petr
last_name: Novotny
citation:
ama: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. Bidding games on Markov decision
processes. In: Proceedings of the 13th International Conference of Reachability
Problems. Vol 11674. Springer; 2019:1-12. doi:10.1007/978-3-030-30806-3_1'
apa: 'Avni, G., Henzinger, T. A., Ibsen-Jensen, R., & Novotny, P. (2019). Bidding
games on Markov decision processes. In Proceedings of the 13th International
Conference of Reachability Problems (Vol. 11674, pp. 1–12). Brussels, Belgium:
Springer. https://doi.org/10.1007/978-3-030-30806-3_1'
chicago: Avni, Guy, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Petr Novotny. “Bidding
Games on Markov Decision Processes.” In Proceedings of the 13th International
Conference of Reachability Problems, 11674:1–12. Springer, 2019. https://doi.org/10.1007/978-3-030-30806-3_1.
ieee: G. Avni, T. A. Henzinger, R. Ibsen-Jensen, and P. Novotny, “Bidding games
on Markov decision processes,” in Proceedings of the 13th International Conference
of Reachability Problems, Brussels, Belgium, 2019, vol. 11674, pp. 1–12.
ista: 'Avni G, Henzinger TA, Ibsen-Jensen R, Novotny P. 2019. Bidding games on Markov
decision processes. Proceedings of the 13th International Conference of Reachability
Problems. RP: Reachability Problems, LNCS, vol. 11674, 1–12.'
mla: Avni, Guy, et al. “Bidding Games on Markov Decision Processes.” Proceedings
of the 13th International Conference of Reachability Problems, vol. 11674,
Springer, 2019, pp. 1–12, doi:10.1007/978-3-030-30806-3_1.
short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, P. Novotny, in:, Proceedings of
the 13th International Conference of Reachability Problems, Springer, 2019, pp.
1–12.
conference:
end_date: 2019-09-13
location: Brussels, Belgium
name: 'RP: Reachability Problems'
start_date: 2019-09-11
date_created: 2019-08-19T07:58:10Z
date_published: 2019-09-06T00:00:00Z
date_updated: 2021-01-12T08:09:12Z
day: '06'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-030-30806-3_1
file:
- access_level: open_access
checksum: 45ebbc709af2b247d28c7c293c01504b
content_type: application/pdf
creator: gavni
date_created: 2019-08-19T07:56:40Z
date_updated: 2020-07-14T12:47:41Z
file_id: '6823'
file_name: prob.pdf
file_size: 436635
relation: main_file
file_date_updated: 2020-07-14T12:47:41Z
has_accepted_license: '1'
intvolume: ' 11674'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 1-12
project:
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
- _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: ' Proceedings of the 13th International Conference of Reachability Problems'
publication_identifier:
isbn:
- 978-303030805-6
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: 1
status: public
title: Bidding games on Markov decision processes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11674
year: '2019'
...
---
_id: '7158'
abstract:
- lang: eng
text: "Interprocedural analysis is at the heart of numerous applications in programming
languages, such as alias analysis, constant propagation, and so on. Recursive
state machines (RSMs) are standard models for interprocedural analysis. We consider
a general framework with RSMs where the transitions are labeled from a semiring
and path properties are algebraic with semiring operations. RSMs with algebraic
path properties can model interprocedural dataflow analysis problems, the shortest
path problem, the most probable path problem, and so on. The traditional algorithms
for interprocedural analysis focus on path properties where the starting point
is fixed as the entry point of a specific method. In this work, we consider possible
multiple queries as required in many applications such as in alias analysis. The
study of multiple queries allows us to bring in an important algorithmic distinction
between the resource usage of the one-time preprocessing vs for each individual
query. The second aspect we consider is that the control flow graphs for most
programs have constant treewidth.\r\n\r\nOur main contributions are simple and
implementable algorithms that support multiple queries for algebraic path properties
for RSMs that have constant treewidth. Our theoretical results show that our algorithms
have small additional one-time preprocessing but can answer subsequent queries
significantly faster as compared to the current algorithmic solutions for interprocedural
dataflow analysis. We have also implemented our algorithms and evaluated their
performance for performing on-demand interprocedural dataflow analysis on various
domains, such as for live variable analysis and reaching definitions, on a standard
benchmark set. Our experimental results align with our theoretical statements
and show that after a lightweight preprocessing, on-demand queries are answered
much faster than the standard existing algorithmic approaches.\r\n"
article_number: '23'
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: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Prateesh
full_name: Goyal, Prateesh
last_name: Goyal
- 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, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster
algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3363525
apa: Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., & Pavlogiannis,
A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with
constant treewidth. ACM Transactions on Programming Languages and Systems.
ACM. https://doi.org/10.1145/3363525
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus
Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic
Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming
Languages and Systems. ACM, 2019. https://doi.org/10.1145/3363525.
ieee: K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis,
“Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,”
ACM Transactions on Programming Languages and Systems, vol. 41, no. 4.
ACM, 2019.
ista: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019.
Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 41(4), 23.
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries
in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages
and Systems, vol. 41, no. 4, 23, ACM, 2019, doi:10.1145/3363525.
short: K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis,
ACM Transactions on Programming Languages and Systems 41 (2019).
date_created: 2019-12-09T08:33:33Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2024-03-28T23:30:34Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3363525
ec_funded: 1
external_id:
isi:
- '000564108400004'
file:
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checksum: 291cc86a07bd010d4815e177dac57b70
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T12:58:10Z
date_updated: 2020-10-08T12:58:10Z
file_id: '8632'
file_name: 2019_ACMTransactions_Chatterjee.pdf
file_size: 667357
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success: 1
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has_accepted_license: '1'
intvolume: ' 41'
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issue: '4'
language:
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month: '11'
oa: 1
oa_version: Submitted Version
project:
- _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
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
issn:
- 0164-0925
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Faster algorithms for dynamic algebraic queries in basic RSMs with constant
treewidth
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 41
year: '2019'
...
---
_id: '5788'
abstract:
- lang: eng
text: In two-player games on graphs, the players move a token through a graph to
produce an infinite path, which determines the winner or payoff of the game. Such
games are central in formal verification since they model the interaction between
a non-terminating system and its environment. We study bidding games in which
the players bid for the right to move the token. Two bidding rules have been defined.
In Richman bidding, in each round, the players simultaneously submit bids, and
the higher bidder moves the token and pays the other player. Poorman bidding is
similar except that the winner of the bidding pays the “bank” rather than the
other player. While poorman reachability games have been studied before, we present,
for the first time, results on infinite-duration poorman games. A central quantity
in these games is the ratio between the two players’ initial budgets. The questions
we study concern a necessary and sufficient ratio with which a player can achieve
a goal. For reachability objectives, such threshold ratios are known to exist
for both bidding rules. We show that the properties of poorman reachability games
extend to complex qualitative objectives such as parity, similarly to the Richman
case. Our most interesting results concern quantitative poorman games, namely
poorman mean-payoff games, where we construct optimal strategies depending on
the initial ratio, by showing a connection with random-turn based games. The connection
in itself is interesting, because it does not hold for reachability poorman games.
We also solve the complexity problems that arise in poorman bidding games.
alternative_title:
- LNCS
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Avni G, Henzinger TA, Ibsen-Jensen R. Infinite-duration poorman-bidding games.
In: Vol 11316. Springer; 2018:21-36. doi:10.1007/978-3-030-04612-5_2'
apa: 'Avni, G., Henzinger, T. A., & Ibsen-Jensen, R. (2018). Infinite-duration
poorman-bidding games (Vol. 11316, pp. 21–36). Presented at the 14th International
Conference on Web and Internet Economics, WINE, Oxford, UK: Springer. https://doi.org/10.1007/978-3-030-04612-5_2'
chicago: Avni, Guy, Thomas A Henzinger, and Rasmus Ibsen-Jensen. “Infinite-Duration
Poorman-Bidding Games,” 11316:21–36. Springer, 2018. https://doi.org/10.1007/978-3-030-04612-5_2.
ieee: G. Avni, T. A. Henzinger, and R. Ibsen-Jensen, “Infinite-duration poorman-bidding
games,” presented at the 14th International Conference on Web and Internet Economics,
WINE, Oxford, UK, 2018, vol. 11316, pp. 21–36.
ista: Avni G, Henzinger TA, Ibsen-Jensen R. 2018. Infinite-duration poorman-bidding
games. 14th International Conference on Web and Internet Economics, WINE, LNCS,
vol. 11316, 21–36.
mla: Avni, Guy, et al. Infinite-Duration Poorman-Bidding Games. Vol. 11316,
Springer, 2018, pp. 21–36, doi:10.1007/978-3-030-04612-5_2.
short: G. Avni, T.A. Henzinger, R. Ibsen-Jensen, in:, Springer, 2018, pp. 21–36.
conference:
end_date: 2018-12-17
location: Oxford, UK
name: 14th International Conference on Web and Internet Economics, WINE
start_date: 2018-12-15
date_created: 2018-12-30T22:59:14Z
date_published: 2018-11-21T00:00:00Z
date_updated: 2023-09-12T07:44:01Z
day: '21'
department:
- _id: ToHe
doi: 10.1007/978-3-030-04612-5_2
external_id:
arxiv:
- '1804.04372'
isi:
- '000865933000002'
intvolume: ' 11316'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.04372
month: '11'
oa: 1
oa_version: Preprint
page: 21-36
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 264B3912-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: M02369
name: Formal Methods meets Algorithmic Game Theory
publication_identifier:
isbn:
- '9783030046118'
issn:
- '03029743'
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infinite-duration poorman-bidding games
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 11316
year: '2018'
...
---
_id: '5967'
abstract:
- lang: eng
text: "The Big Match is a multi-stage two-player game. In each stage Player 1 hides
one or two pebbles in his hand, and his opponent has to guess that number; Player
1 loses a point if Player 2 is correct, and otherwise he wins a point. As soon
as Player 1 hides one pebble, the players cannot change their choices in any future
stage.\r\nBlackwell and Ferguson (1968) give an ε-optimal strategy for Player
1 that hides, in each stage, one pebble with a probability that depends on the
entire past history. Any strategy that depends just on the clock or on a finite
memory is worthless. The long-standing natural open problem has been whether every
strategy that depends just on the clock and a finite memory is worthless. We prove
that there is such a strategy that is ε-optimal. In fact, we show that just two
states of memory are sufficient.\r\n"
article_processing_charge: No
author:
- first_name: Kristoffer Arnsfelt
full_name: Hansen, Kristoffer Arnsfelt
last_name: Hansen
- 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: Abraham
full_name: Neyman, Abraham
last_name: Neyman
citation:
ama: 'Hansen KA, Ibsen-Jensen R, Neyman A. The Big Match with a clock and a bit
of memory. In: Proceedings of the 2018 ACM Conference on Economics and Computation
- EC ’18. ACM Press; 2018:149-150. doi:10.1145/3219166.3219198'
apa: 'Hansen, K. A., Ibsen-Jensen, R., & Neyman, A. (2018). The Big Match with
a clock and a bit of memory. In Proceedings of the 2018 ACM Conference on Economics
and Computation - EC ’18 (pp. 149–150). Ithaca, NY, United States: ACM Press.
https://doi.org/10.1145/3219166.3219198'
chicago: Hansen, Kristoffer Arnsfelt, Rasmus Ibsen-Jensen, and Abraham Neyman. “The
Big Match with a Clock and a Bit of Memory.” In Proceedings of the 2018 ACM
Conference on Economics and Computation - EC ’18, 149–50. ACM Press, 2018.
https://doi.org/10.1145/3219166.3219198.
ieee: K. A. Hansen, R. Ibsen-Jensen, and A. Neyman, “The Big Match with a clock
and a bit of memory,” in Proceedings of the 2018 ACM Conference on Economics
and Computation - EC ’18, Ithaca, NY, United States, 2018, pp. 149–150.
ista: 'Hansen KA, Ibsen-Jensen R, Neyman A. 2018. The Big Match with a clock and
a bit of memory. Proceedings of the 2018 ACM Conference on Economics and Computation
- EC ’18. EC: Conference on Economics and Computation, 149–150.'
mla: Hansen, Kristoffer Arnsfelt, et al. “The Big Match with a Clock and a Bit of
Memory.” Proceedings of the 2018 ACM Conference on Economics and Computation
- EC ’18, ACM Press, 2018, pp. 149–50, doi:10.1145/3219166.3219198.
short: K.A. Hansen, R. Ibsen-Jensen, A. Neyman, in:, Proceedings of the 2018 ACM
Conference on Economics and Computation - EC ’18, ACM Press, 2018, pp. 149–150.
conference:
end_date: 2018-06-22
location: Ithaca, NY, United States
name: 'EC: Conference on Economics and Computation'
start_date: 2018-06-18
date_created: 2019-02-13T10:31:41Z
date_published: 2018-06-18T00:00:00Z
date_updated: 2023-09-19T10:45:15Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3219166.3219198
external_id:
isi:
- '000492755100020'
file:
- access_level: open_access
checksum: bb52683e349cfd864f4769a8f38f2798
content_type: application/pdf
creator: dernst
date_created: 2019-11-19T08:24:24Z
date_updated: 2020-07-14T12:47:14Z
file_id: '7054'
file_name: 2018_EC18_Hansen.pdf
file_size: 302539
relation: main_file
file_date_updated: 2020-07-14T12:47:14Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 149-150
publication: Proceedings of the 2018 ACM Conference on Economics and Computation -
EC '18
publication_identifier:
isbn:
- '9781450358293'
publication_status: published
publisher: ACM Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Big Match with a clock and a bit of memory
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2018'
...
---
_id: '198'
abstract:
- lang: eng
text: We consider a class of students learning a language from a teacher. The situation
can be interpreted as a group of child learners receiving input from the linguistic
environment. The teacher provides sample sentences. The students try to learn
the grammar from the teacher. In addition to just listening to the teacher, the
students can also communicate with each other. The students hold hypotheses about
the grammar and change them if they receive counter evidence. The process stops
when all students have converged to the correct grammar. We study how the time
to convergence depends on the structure of the classroom by introducing and evaluating
various complexity measures. We find that structured communication between students,
although potentially introducing confusion, can greatly reduce some of the complexity
measures. Our theory can also be interpreted as applying to the scientific process,
where nature is the teacher and the scientists are the students.
article_number: '20180073'
article_processing_charge: No
article_type: original
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. Language acquisition with
communication between learners. Journal of the Royal Society Interface.
2018;15(140). doi:10.1098/rsif.2018.0073
apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2018). Language
acquisition with communication between learners. Journal of the Royal Society
Interface. The Royal Society. https://doi.org/10.1098/rsif.2018.0073
chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Language Acquisition with Communication between Learners.” Journal
of the Royal Society Interface. The Royal Society, 2018. https://doi.org/10.1098/rsif.2018.0073.
ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Language acquisition
with communication between learners,” Journal of the Royal Society Interface,
vol. 15, no. 140. The Royal Society, 2018.
ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2018. Language acquisition
with communication between learners. Journal of the Royal Society Interface. 15(140),
20180073.
mla: Ibsen-Jensen, Rasmus, et al. “Language Acquisition with Communication between
Learners.” Journal of the Royal Society Interface, vol. 15, no. 140, 20180073,
The Royal Society, 2018, doi:10.1098/rsif.2018.0073.
short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, Journal of the Royal
Society Interface 15 (2018).
date_created: 2018-12-11T11:45:09Z
date_published: 2018-03-01T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rsif.2018.0073
ec_funded: 1
external_id:
isi:
- '000428576200023'
pmid:
- '29593089'
file:
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checksum: 444e1a9d98eb0e780671be82b13025f3
content_type: application/pdf
creator: dernst
date_created: 2019-02-12T07:54:37Z
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file_id: '5955'
file_name: 2018_RS_IbsenJensen.pdf
file_size: 219837
relation: main_file
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intvolume: ' 15'
isi: 1
issue: '140'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
pmid: 1
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: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Journal of the Royal Society Interface
publication_identifier:
eissn:
- 1742-5662
publication_status: published
publisher: The Royal Society
publist_id: '7715'
quality_controlled: '1'
related_material:
link:
- relation: supplementary_material
url: https://dx.doi.org/10.6084/m9.figshare.c.4028971
record:
- id: '9814'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Language acquisition with communication between learners
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2018'
...
---
_id: '66'
abstract:
- lang: eng
text: 'Crypto-currencies are digital assets designed to work as a medium of exchange,
e.g., Bitcoin, but they are susceptible to attacks (dishonest behavior of participants).
A framework for the analysis of attacks in crypto-currencies requires (a) modeling
of game-theoretic aspects to analyze incentives for deviation from honest behavior;
(b) concurrent interactions between participants; and (c) analysis of long-term
monetary gains. Traditional game-theoretic approaches for the analysis of security
protocols consider either qualitative temporal properties such as safety and termination,
or the very special class of one-shot (stateless) games. However, to analyze general
attacks on protocols for crypto-currencies, both stateful analysis and quantitative
objectives are necessary. In this work our main contributions are as follows:
(a) we show how a class of concurrent mean-payo games, namely ergodic games, can
model various attacks that arise naturally in crypto-currencies; (b) we present
the first practical implementation of algorithms for ergodic games that scales
to model realistic problems for crypto-currencies; and (c) we present experimental
results showing that our framework can handle games with thousands of states and
millions of transitions.'
alternative_title:
- LIPIcs
article_number: '11'
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: Amir
full_name: Goharshady, Amir
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- 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: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. Ergodic mean-payoff
games for the analysis of attacks in crypto-currencies. In: Vol 118. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.CONCUR.2018.11'
apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Velner, Y. (2018).
Ergodic mean-payoff games for the analysis of attacks in crypto-currencies (Vol.
118). Presented at the CONCUR: Conference on Concurrency Theory, Beijing, China:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
and Yaron Velner. “Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies,”
Vol. 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11.
ieee: 'K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and Y. Velner, “Ergodic
mean-payoff games for the analysis of attacks in crypto-currencies,” presented
at the CONCUR: Conference on Concurrency Theory, Beijing, China, 2018, vol. 118.'
ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. 2018. Ergodic mean-payoff
games for the analysis of attacks in crypto-currencies. CONCUR: Conference on
Concurrency Theory, LIPIcs, vol. 118, 11.'
mla: Chatterjee, Krishnendu, et al. Ergodic Mean-Payoff Games for the Analysis
of Attacks in Crypto-Currencies. Vol. 118, 11, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2018, doi:10.4230/LIPIcs.CONCUR.2018.11.
short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, Y. Velner, in:, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
conference:
end_date: 2018-09-07
location: Beijing, China
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2018-09-04
date_created: 2018-12-11T11:44:27Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2024-03-28T23:30:34Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2018.11
ec_funded: 1
external_id:
arxiv:
- '1806.03108'
file:
- access_level: open_access
checksum: 68a055b1aaa241cc38375083cf832a7d
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T12:08:00Z
date_updated: 2020-07-14T12:47:34Z
file_id: '5696'
file_name: 2018_CONCUR_Chatterjee.pdf
file_size: 1078309
relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: ' 118'
language:
- iso: eng
month: '09'
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: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication_identifier:
isbn:
- 978-3-95977-087-3
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7988'
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Ergodic mean-payoff games for the analysis of attacks in crypto-currencies
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: 118
year: '2018'
...
---
_id: '6009'
abstract:
- lang: eng
text: "We study algorithmic questions wrt algebraic path properties in concurrent
systems, where the transitions of the system are labeled from a complete, closed
semiring. The algebraic path properties can model dataflow analysis problems,
the shortest path problem, and many other natural problems that arise in program
analysis. We consider that each component of the concurrent system is a graph
with constant treewidth, a property satisfied by the controlflow graphs of most
programs. We allow for multiple possible queries, which arise naturally in demand
driven dataflow analysis. The study of multiple queries allows us to consider
the tradeoff between the resource usage of the one-time preprocessing and for
each individual query. The traditional approach constructs the product graph of
all components and applies the best-known graph algorithm on the product. In this
approach, even the answer to a single query requires the transitive closure (i.e.,
the results of all possible queries), which provides no room for tradeoff between
preprocessing and query time.\r\nOur main contributions are algorithms that significantly
improve the worst-case running time of the traditional approach, and provide various
tradeoffs depending on the number of queries. For example, in a concurrent system
of two components, the traditional approach requires hexic time in the worst case
for answering one query as well as computing the transitive closure, whereas we
show that with one-time preprocessing in almost cubic time, each subsequent query
can be answered in at most linear time, and even the transitive closure can be
computed in almost quartic time. Furthermore, we establish conditional optimality
results showing that the worst-case running time of our algorithms cannot be improved
without achieving major breakthroughs in graph algorithms (i.e., improving the
worst-case bound for the shortest path problem in general graphs). Preliminary
experimental results show that our algorithms perform favorably on several benchmarks.\r\n"
article_number: '9'
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: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- 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, Goharshady AK, Pavlogiannis A. Algorithms for
algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 2018;40(3). doi:10.1145/3210257
apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., & Pavlogiannis, A.
(2018). Algorithms for algebraic path properties in concurrent systems of constant
treewidth components. ACM Transactions on Programming Languages and Systems.
Association for Computing Machinery (ACM). https://doi.org/10.1145/3210257
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent
Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems. Association for Computing Machinery (ACM), 2018. https://doi.org/10.1145/3210257.
ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, “Algorithms
for algebraic path properties in concurrent systems of constant treewidth components,”
ACM Transactions on Programming Languages and Systems, vol. 40, no. 3.
Association for Computing Machinery (ACM), 2018.
ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2018. Algorithms
for algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 40(3), 9.
mla: Chatterjee, Krishnendu, et al. “Algorithms for Algebraic Path Properties in
Concurrent Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems, vol. 40, no. 3, 9, Association for Computing Machinery
(ACM), 2018, doi:10.1145/3210257.
short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, ACM Transactions
on Programming Languages and Systems 40 (2018).
date_created: 2019-02-14T14:31:52Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2024-03-28T23:30:34Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3210257
ec_funded: 1
external_id:
arxiv:
- '1510.07565'
isi:
- '000444694800001'
intvolume: ' 40'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
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url: https://arxiv.org/abs/1510.07565
month: '08'
oa: 1
oa_version: Preprint
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'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
issn:
- 0164-0925
publication_status: published
publisher: Association for Computing Machinery (ACM)
quality_controlled: '1'
related_material:
record:
- id: '1437'
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status: public
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relation: earlier_version
status: public
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status: public
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Algorithms for algebraic path properties in concurrent systems of constant
treewidth components
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 40
year: '2018'
...
---
_id: '465'
abstract:
- lang: eng
text: 'The edit distance between two words w 1 , w 2 is the minimal number of word
operations (letter insertions, deletions, and substitutions) necessary to transform
w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the
edit distance from L 1 to L 2 is the minimal number k such that for every word
from L 1 there exists a word in L 2 with edit distance at most k . We study the
edit distance computation problem between pushdown automata and their subclasses.
The problem of computing edit distance to a pushdown automaton is undecidable,
and in practice, the interesting question is to compute the edit distance from
a pushdown automaton (the implementation, a standard model for programs with recursion)
to a regular language (the specification). In this work, we present a complete
picture of decidability and complexity for the following problems: (1) deciding
whether, for a given threshold k , the edit distance from a pushdown automaton
to a finite automaton is at most k , and (2) deciding whether the edit distance
from a pushdown automaton to a finite automaton is finite. '
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown
automata. Logical Methods in Computer Science. 2017;13(3). doi:10.23638/LMCS-13(3:23)2017
apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., & Otop, J. (2017).
Edit distance for pushdown automata. Logical Methods in Computer Science.
International Federation of Computational Logic. https://doi.org/10.23638/LMCS-13(3:23)2017
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
Otop. “Edit Distance for Pushdown Automata.” Logical Methods in Computer Science.
International Federation of Computational Logic, 2017. https://doi.org/10.23638/LMCS-13(3:23)2017.
ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance
for pushdown automata,” Logical Methods in Computer Science, vol. 13, no.
3. International Federation of Computational Logic, 2017.
ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for
pushdown automata. Logical Methods in Computer Science. 13(3).
mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” Logical
Methods in Computer Science, vol. 13, no. 3, International Federation of Computational
Logic, 2017, doi:10.23638/LMCS-13(3:23)2017.
short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods
in Computer Science 13 (2017).
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-13T00:00:00Z
date_updated: 2023-02-23T12:26:25Z
day: '13'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.23638/LMCS-13(3:23)2017
ec_funded: 1
file:
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checksum: 08041379ba408d40664f449eb5907a8f
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creator: system
date_created: 2018-12-12T10:14:37Z
date_updated: 2020-07-14T12:46:33Z
file_id: '5090'
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file_size: 279071
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creator: system
date_created: 2018-12-12T10:14:38Z
date_updated: 2020-07-14T12:46:33Z
file_id: '5091'
file_name: IST-2018-955-v1+1_2017_Chatterjee_Edit_distance.pdf
file_size: 279071
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file_date_updated: 2020-07-14T12:46:33Z
has_accepted_license: '1'
intvolume: ' 13'
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Logical Methods in Computer Science
publication_identifier:
issn:
- '18605974'
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7356'
pubrep_id: '955'
quality_controlled: '1'
related_material:
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- id: '5438'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Edit distance for pushdown automata
tmp:
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legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2017'
...
---
_id: '551'
abstract:
- lang: eng
text: 'Evolutionary graph theory studies the evolutionary dynamics in a population
structure given as a connected graph. Each node of the graph represents an individual
of the population, and edges determine how offspring are placed. We consider the
classical birth-death Moran process where there are two types of individuals,
namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates
the reproductive strength. The evolutionary dynamics happens as follows: in the
initial step, in a population of all resident individuals a mutant is introduced,
and then at each step, an individual is chosen proportional to the fitness of
its type to reproduce, and the offspring replaces a neighbor uniformly at random.
The process stops when all individuals are either residents or mutants. The probability
that all individuals in the end are mutants is called the fixation probability,
which is a key factor in the rate of evolution. We consider the problem of approximating
the fixation probability. The class of algorithms that is extremely relevant for
approximation of the fixation probabilities is the Monte-Carlo simulation of the
process. Previous results present a polynomial-time Monte-Carlo algorithm for
undirected graphs when r is given in unary. First, we present a simple modification:
instead of simulating each step, we discard ineffective steps, where no node changes
type (i.e., either residents replace residents, or mutants replace mutants). Using
the above simple modification and our result that the number of effective steps
is concentrated around the expected number of effective steps, we present faster
polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are
always at least a factor O(n2/ log n) faster as compared to the previous algorithms,
where n is the number of nodes, and is polynomial even if r is given in binary.
We also present lower bounds showing that the upper bound on the expected number
of effective steps we present is asymptotically tight for undirected graphs. '
alternative_title:
- LIPIcs
article_number: '61'
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: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation
probability of the Moran process on undirected graphs. In: Leibniz International
Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.61'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2017). Faster Monte Carlo
algorithms for fixation probability of the Moran process on undirected graphs.
In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg,
Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.61'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster
Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected
Graphs.” In Leibniz International Proceedings in Informatics, Vol. 83.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.61.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs,” in Leibniz
International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs. Leibniz International
Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science
(SG), LIPIcs, vol. 83, 61.'
mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation
Probability of the Moran Process on Undirected Graphs.” Leibniz International
Proceedings in Informatics, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.61.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:34Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.61
file:
- access_level: open_access
checksum: 2eed5224c0e4e259484a1d71acb8ba6a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:04Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5322'
file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
file_size: 535077
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: 1
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
on undirected 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '553'
abstract:
- lang: eng
text: 'We consider two player, zero-sum, finite-state concurrent reachability games,
played for an infinite number of rounds, where in every round, each player simultaneously
and independently of the other players chooses an action, whereafter the successor
state is determined by a probability distribution given by the current state and
the chosen actions. Player 1 wins iff a designated goal state is eventually visited.
We are interested in the complexity of stationary strategies measured by their
patience, which is defined as the inverse of the smallest non-zero probability
employed. Our main results are as follows: We show that: (i) the optimal bound
on the patience of optimal and -optimal strategies, for both players is doubly
exponential; and (ii) even in games with a single non-absorbing state exponential
(in the number of actions) patience is necessary. '
alternative_title:
- LIPIcs
article_number: '55'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Kristofer
full_name: Hansen, Kristofer
last_name: Hansen
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent
safety games. In: Leibniz International Proceedings in Informatics. Vol
83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.55'
apa: 'Chatterjee, K., Hansen, K., & Ibsen-Jensen, R. (2017). Strategy complexity
of concurrent safety games. In Leibniz International Proceedings in Informatics
(Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2017.55'
chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy
Complexity of Concurrent Safety Games.” In Leibniz International Proceedings
in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.55.
ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent
safety games,” in Leibniz International Proceedings in Informatics, Aalborg,
Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent
safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
Foundations of Computer Science (SG), LIPIcs, vol. 83, 55.'
mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.”
Leibniz International Proceedings in Informatics, vol. 83, 55, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.55.
short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:35Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.55
file:
- access_level: open_access
checksum: 7101facb56ade363205c695d72dbd173
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:29Z
date_updated: 2020-07-14T12:47:00Z
file_id: '4753'
file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf
file_size: 549967
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1506.02434
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7261'
pubrep_id: '922'
quality_controlled: '1'
scopus_import: 1
status: public
title: Strategy complexity of concurrent safety 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '1182'
abstract:
- lang: eng
text: 'Balanced knockout tournaments are ubiquitous in sports competitions and are
also used in decisionmaking and elections. The traditional computational question,
that asks to compute a draw (optimal draw) that maximizes the winning probability
for a distinguished player, has received a lot of attention. Previous works consider
the problem where the pairwise winning probabilities are known precisely, while
we study how robust is the winning probability with respect to small errors in
the pairwise winning probabilities. First, we present several illuminating examples
to establish: (a) there exist deterministic tournaments (where the pairwise winning
probabilities are 0 or 1) where one optimal draw is much more robust than the
other; and (b) in general, there exist tournaments with slightly suboptimal draws
that are more robust than all the optimal draws. The above examples motivate the
study of the computational problem of robust draws that guarantee a specified
winning probability. Second, we present a polynomial-time algorithm for approximating
the robustness of a draw for sufficiently small errors in pairwise winning probabilities,
and obtain that the stated computational problem is NP-complete. We also show
that two natural cases of deterministic tournaments where the optimal draw could
be computed in polynomial time also admit polynomial-time algorithms to compute
robust optimal draws.'
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: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Tkadlec J. Robust draws in balanced knockout
tournaments. In: Vol 2016-January. AAAI Press; 2016:172-179.'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Tkadlec, J. (2016). Robust draws in
balanced knockout tournaments (Vol. 2016–January, pp. 172–179). Presented at the
IJCAI: International Joint Conference on Artificial Intelligence, New York, NY,
USA: AAAI Press.'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Josef Tkadlec. “Robust
Draws in Balanced Knockout Tournaments,” 2016–January:172–79. AAAI Press, 2016.
ieee: 'K. Chatterjee, R. Ibsen-Jensen, and J. Tkadlec, “Robust draws in balanced
knockout tournaments,” presented at the IJCAI: International Joint Conference
on Artificial Intelligence, New York, NY, USA, 2016, vol. 2016–January, pp. 172–179.'
ista: 'Chatterjee K, Ibsen-Jensen R, Tkadlec J. 2016. Robust draws in balanced knockout
tournaments. IJCAI: International Joint Conference on Artificial Intelligence
vol. 2016–January, 172–179.'
mla: Chatterjee, Krishnendu, et al. Robust Draws in Balanced Knockout Tournaments.
Vol. 2016–January, AAAI Press, 2016, pp. 172–79.
short: K. Chatterjee, R. Ibsen-Jensen, J. Tkadlec, in:, AAAI Press, 2016, pp. 172–179.
conference:
end_date: 2016-07-15
location: New York, NY, USA
name: 'IJCAI: International Joint Conference on Artificial Intelligence'
start_date: 2016-07-09
date_created: 2018-12-11T11:50:35Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2023-02-21T10:04:26Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.05090v1
month: '01'
oa: 1
oa_version: Preprint
page: 172 - 179
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication_status: published
publisher: AAAI Press
publist_id: '6171'
quality_controlled: '1'
related_material:
link:
- relation: table_of_contents
url: https://www.ijcai.org/proceedings/2016
scopus_import: 1
status: public
title: Robust draws in balanced knockout tournaments
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2016-January
year: '2016'
...
---
_id: '1340'
abstract:
- lang: eng
text: We study repeated games with absorbing states, a type of two-player, zero-sum
concurrent mean-payoff games with the prototypical example being the Big Match
of Gillete (1957). These games may not allow optimal strategies but they always
have ε-optimal strategies. In this paper we design ε-optimal strategies for Player
1 in these games that use only O(log log T) space. Furthermore, we construct strategies
for Player 1 that use space s(T), for an arbitrary small unbounded non-decreasing
function s, and which guarantee an ε-optimal value for Player 1 in the limit superior
sense. The previously known strategies use space Ω(log T) and it was known that
no strategy can use constant space if it is ε-optimal even in the limit superior
sense. We also give a complementary lower bound. Furthermore, we also show that
no Markov strategy, even extended with finite memory, can ensure value greater
than 0 in the Big Match, answering a question posed by Neyman [11].
alternative_title:
- LNCS
author:
- first_name: Kristoffer
full_name: Hansen, Kristoffer
last_name: Hansen
- 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: Michal
full_name: Koucký, Michal
last_name: Koucký
citation:
ama: 'Hansen K, Ibsen-Jensen R, Koucký M. The big match in small space. In: Vol
9928. Springer; 2016:64-76. doi:10.1007/978-3-662-53354-3_6'
apa: 'Hansen, K., Ibsen-Jensen, R., & Koucký, M. (2016). The big match in small
space (Vol. 9928, pp. 64–76). Presented at the SAGT: Symposium on Algorithmic
Game Theory, Liverpool, United Kingdom: Springer. https://doi.org/10.1007/978-3-662-53354-3_6'
chicago: Hansen, Kristoffer, Rasmus Ibsen-Jensen, and Michal Koucký. “The Big Match
in Small Space,” 9928:64–76. Springer, 2016. https://doi.org/10.1007/978-3-662-53354-3_6.
ieee: 'K. Hansen, R. Ibsen-Jensen, and M. Koucký, “The big match in small space,”
presented at the SAGT: Symposium on Algorithmic Game Theory, Liverpool, United
Kingdom, 2016, vol. 9928, pp. 64–76.'
ista: 'Hansen K, Ibsen-Jensen R, Koucký M. 2016. The big match in small space. SAGT:
Symposium on Algorithmic Game Theory, LNCS, vol. 9928, 64–76.'
mla: Hansen, Kristoffer, et al. The Big Match in Small Space. Vol. 9928,
Springer, 2016, pp. 64–76, doi:10.1007/978-3-662-53354-3_6.
short: K. Hansen, R. Ibsen-Jensen, M. Koucký, in:, Springer, 2016, pp. 64–76.
conference:
end_date: 2016-09-21
location: Liverpool, United Kingdom
name: 'SAGT: Symposium on Algorithmic Game Theory'
start_date: 2016-09-19
date_created: 2018-12-11T11:51:28Z
date_published: 2016-09-01T00:00:00Z
date_updated: 2021-01-12T06:50:00Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-53354-3_6
ec_funded: 1
intvolume: ' 9928'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.07634
month: '09'
oa: 1
oa_version: Preprint
page: 64 - 76
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication_status: published
publisher: Springer
publist_id: '5927'
quality_controlled: '1'
scopus_import: 1
status: public
title: The big match in small space
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 9928
year: '2016'
...
---
_id: '478'
abstract:
- lang: eng
text: 'Magic: the Gathering is a game about magical combat for any number of players.
Formally it is a zero-sum, imperfect information stochastic game that consists
of a potentially unbounded number of steps. We consider the problem of deciding
if a move is legal in a given single step of Magic. We show that the problem is
(a) coNP-complete in general; and (b) in P if either of two small sets of cards
are not used. Our lower bound holds even for single-player Magic games. The significant
aspects of our results are as follows: First, in most real-life game problems,
the task of deciding whether a given move is legal in a single step is trivial,
and the computationally hard task is to find the best sequence of legal moves
in the presence of multiple players. In contrast, quite uniquely our hardness
result holds for single step and with only one-player. Second, we establish efficient
algorithms for important special cases of Magic.'
alternative_title:
- Frontiers in Artificial Intelligence and Applications
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
citation:
ama: 'Chatterjee K, Ibsen-Jensen R. The complexity of deciding legality of a single
step of magic: The gathering. In: Vol 285. IOS Press; 2016:1432-1439. doi:10.3233/978-1-61499-672-9-1432'
apa: 'Chatterjee, K., & Ibsen-Jensen, R. (2016). The complexity of deciding
legality of a single step of magic: The gathering (Vol. 285, pp. 1432–1439). Presented
at the ECAI: European Conference on Artificial Intelligence, The Hague, Netherlands:
IOS Press. https://doi.org/10.3233/978-1-61499-672-9-1432'
chicago: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Deciding
Legality of a Single Step of Magic: The Gathering,” 285:1432–39. IOS Press, 2016.
https://doi.org/10.3233/978-1-61499-672-9-1432.'
ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of deciding legality of
a single step of magic: The gathering,” presented at the ECAI: European Conference
on Artificial Intelligence, The Hague, Netherlands, 2016, vol. 285, pp. 1432–1439.'
ista: 'Chatterjee K, Ibsen-Jensen R. 2016. The complexity of deciding legality of
a single step of magic: The gathering. ECAI: European Conference on Artificial
Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 285,
1432–1439.'
mla: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Complexity of Deciding
Legality of a Single Step of Magic: The Gathering. Vol. 285, IOS Press, 2016,
pp. 1432–39, doi:10.3233/978-1-61499-672-9-1432.'
short: K. Chatterjee, R. Ibsen-Jensen, in:, IOS Press, 2016, pp. 1432–1439.
conference:
end_date: 2016-09-02
location: The Hague, Netherlands
name: 'ECAI: European Conference on Artificial Intelligence'
start_date: 2016-08-29
date_created: 2018-12-11T11:46:41Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:54Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.3233/978-1-61499-672-9-1432
file:
- access_level: open_access
checksum: 848043c812ace05e459579c923f3d3cf
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:07:59Z
date_updated: 2020-07-14T12:46:35Z
file_id: '4658'
file_name: IST-2018-950-v1+1_2016_Chatterjee_The_complexity.pdf
file_size: 2116225
relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 285'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 1432 - 1439
publication_status: published
publisher: IOS Press
publist_id: '7342'
pubrep_id: '950'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The complexity of deciding legality of a single step of magic: The gathering'
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short: CC BY-NC (4.0)
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user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
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...