---
_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: '6887'
abstract:
- lang: eng
text: 'The fundamental model-checking problem, given as input a model and a specification,
asks for the algorithmic verification of whether the model satisfies the specification.
Two classical models for reactive systems are graphs and Markov decision processes
(MDPs). A basic specification formalism in the verification of reactive systems
is the strong fairness (aka Streett) objective, where given different types of
requests and corresponding grants, the requirement is that for each type, if the
request event happens infinitely often, then the corresponding grant event must
also happen infinitely often. All omega-regular objectives can be expressed as
Streett objectives and hence they are canonical in verification. Consider graphs/MDPs
with n vertices, m edges, and a Streett objectives with k pairs, and let b denote
the size of the description of the Streett objective for the sets of requests
and grants. The current best-known algorithm for the problem requires time O(min(n^2,
m sqrt{m log n}) + b log n). In this work we present randomized near-linear time
algorithms, with expected running time O~(m + b), where the O~ notation hides
poly-log factors. Our randomized algorithms are near-linear in the size of the
input, and hence optimal up to poly-log factors. '
alternative_title:
- LIPIcs
article_number: '7'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Wolfgang
full_name: Dvorák, Wolfgang
last_name: Dvorák
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms
for Streett objectives in graphs and MDPs. In: Leibniz International Proceedings
in Informatics. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2019. doi:10.4230/LIPICS.CONCUR.2019.7'
apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., & Svozil, A. (2019). Near-linear
time algorithms for Streett objectives in graphs and MDPs. In Leibniz International
Proceedings in Informatics (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.7'
chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander
Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.”
In Leibniz International Proceedings in Informatics, Vol. 140. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.7.
ieee: K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time
algorithms for Streett objectives in graphs and MDPs,” in Leibniz International
Proceedings in Informatics, Amsterdam, Netherlands, 2019, vol. 140.
ista: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms
for Streett objectives in graphs and MDPs. Leibniz International Proceedings in
Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol.
140, 7.'
mla: Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives
in Graphs and MDPs.” Leibniz International Proceedings in Informatics,
vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.7.
short: K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International
Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:07:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-08-12T10:54:34Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.7
ec_funded: 1
file:
- access_level: open_access
checksum: e1f0e4061212454574f34a1368d018ec
content_type: application/pdf
creator: kschuh
date_created: 2019-10-01T08:20:30Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6922'
file_name: 2019_LIPIcs_Chatterjee.pdf
file_size: 730112
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _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: Leibniz International Proceedings in Informatics
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Near-linear time algorithms for Streett objectives in graphs and MDPs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 140
year: '2019'
...
---
_id: '6888'
abstract:
- lang: eng
text: In this paper, we design novel liquid time-constant recurrent neural networks
for robotic control, inspired by the brain of the nematode, C. elegans. In the
worm's nervous system, neurons communicate through nonlinear time-varying synaptic
links established amongst them by their particular wiring structure. This property
enables neurons to express liquid time-constants dynamics and therefore allows
the network to originate complex behaviors with a small number of neurons. We
identify neuron-pair communication motifs as design operators and use them to
configure compact neuronal network structures to govern sequential robotic tasks.
The networks are systematically designed to map the environmental observations
to motor actions, by their hierarchical topology from sensory neurons, through
recurrently-wired interneurons, to motor neurons. The networks are then parametrized
in a supervised-learning scheme by a search-based algorithm. We demonstrate that
obtained networks realize interpretable dynamics. We evaluate their performance
in controlling mobile and arm robots, and compare their attributes to other artificial
neural network-based control agents. Finally, we experimentally show their superior
resilience to environmental noise, compared to the existing machine learning-based
methods.
alternative_title:
- ICRA
article_number: '8793840'
article_processing_charge: No
author:
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Ramin
full_name: Hasani, Ramin
last_name: Hasani
- first_name: Manuel
full_name: Zimmer, Manuel
last_name: Zimmer
- 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: Radu
full_name: Grosu, Radu
last_name: Grosu
citation:
ama: 'Lechner M, Hasani R, Zimmer M, Henzinger TA, Grosu R. Designing worm-inspired
neural networks for interpretable robotic control. In: Proceedings - IEEE International
Conference on Robotics and Automation. Vol 2019-May. IEEE; 2019. doi:10.1109/icra.2019.8793840'
apa: 'Lechner, M., Hasani, R., Zimmer, M., Henzinger, T. A., & Grosu, R. (2019).
Designing worm-inspired neural networks for interpretable robotic control. In
Proceedings - IEEE International Conference on Robotics and Automation
(Vol. 2019–May). Montreal, QC, Canada: IEEE. https://doi.org/10.1109/icra.2019.8793840'
chicago: Lechner, Mathias, Ramin Hasani, Manuel Zimmer, Thomas A Henzinger, and
Radu Grosu. “Designing Worm-Inspired Neural Networks for Interpretable Robotic
Control.” In Proceedings - IEEE International Conference on Robotics and Automation,
Vol. 2019–May. IEEE, 2019. https://doi.org/10.1109/icra.2019.8793840.
ieee: M. Lechner, R. Hasani, M. Zimmer, T. A. Henzinger, and R. Grosu, “Designing
worm-inspired neural networks for interpretable robotic control,” in Proceedings
- IEEE International Conference on Robotics and Automation, Montreal, QC,
Canada, 2019, vol. 2019–May.
ista: 'Lechner M, Hasani R, Zimmer M, Henzinger TA, Grosu R. 2019. Designing worm-inspired
neural networks for interpretable robotic control. Proceedings - IEEE International
Conference on Robotics and Automation. ICRA: International Conference on Robotics
and Automation, ICRA, vol. 2019–May, 8793840.'
mla: Lechner, Mathias, et al. “Designing Worm-Inspired Neural Networks for Interpretable
Robotic Control.” Proceedings - IEEE International Conference on Robotics and
Automation, vol. 2019–May, 8793840, IEEE, 2019, doi:10.1109/icra.2019.8793840.
short: M. Lechner, R. Hasani, M. Zimmer, T.A. Henzinger, R. Grosu, in:, Proceedings
- IEEE International Conference on Robotics and Automation, IEEE, 2019.
conference:
end_date: 2019-05-24
location: Montreal, QC, Canada
name: 'ICRA: International Conference on Robotics and Automation'
start_date: 2019-05-20
date_created: 2019-09-18T08:09:51Z
date_published: 2019-05-01T00:00:00Z
date_updated: 2021-01-12T08:09:28Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1109/icra.2019.8793840
file:
- access_level: open_access
checksum: f5545a6b60c3ffd01feb3613f81d03b6
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T17:30:38Z
date_updated: 2020-10-08T17:30:38Z
file_id: '8636'
file_name: 2019_ICRA_Lechner.pdf
file_size: 3265107
relation: main_file
success: 1
file_date_updated: 2020-10-08T17:30:38Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Proceedings - IEEE International Conference on Robotics and Automation
publication_identifier:
isbn:
- '9781538660270'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Designing worm-inspired neural networks for interpretable robotic control
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 2019-May
year: '2019'
...
---
_id: '6886'
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 of the game. Such games
are central in formal methods since they model the interaction between a non-terminating
system and its environment. In bidding games the players bid for the right to
move the token: in each round, the players simultaneously submit bids, and the
higher bidder moves the token and pays the other player. Bidding games are known
to have a clean and elegant mathematical structure that relies on the ability
of the players to submit arbitrarily small bids. Many applications, however, require
a fixed granularity for the bids, which can represent, for example, the monetary
value expressed in cents. We study, for the first time, the combination of discrete-bidding
and infinite-duration games. Our most important result proves that these games
form a large determined subclass of concurrent games, where determinacy is the
strong property that there always exists exactly one player who can guarantee
winning the game. In particular, we show that, in contrast to non-discrete bidding
games, the mechanism with which tied bids are resolved plays an important role
in discrete-bidding games. We study several natural tie-breaking mechanisms and
show that, while some do not admit determinacy, most natural mechanisms imply
determinacy for every pair of initial budgets. '
alternative_title:
- LIPIcs
article_number: '20'
article_processing_charge: No
author:
- first_name: Milad
full_name: Aghajohari, Milad
last_name: Aghajohari
- 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
citation:
ama: 'Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration
games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019. doi:10.4230/LIPICS.CONCUR.2019.20'
apa: 'Aghajohari, M., Avni, G., & Henzinger, T. A. (2019). Determinacy in discrete-bidding
infinite-duration games (Vol. 140). Presented at the CONCUR: International Conference
on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.20'
chicago: Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding
Infinite-Duration Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.20.
ieee: 'M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding
infinite-duration games,” presented at the CONCUR: International Conference on
Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Aghajohari M, Avni G, Henzinger TA. 2019. Determinacy in discrete-bidding
infinite-duration games. CONCUR: International Conference on Concurrency Theory,
LIPIcs, vol. 140, 20.'
mla: Aghajohari, Milad, et al. Determinacy in Discrete-Bidding Infinite-Duration
Games. Vol. 140, 20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019,
doi:10.4230/LIPICS.CONCUR.2019.20.
short: M. Aghajohari, G. Avni, T.A. Henzinger, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019.
conference:
end_date: 2019-08-30
location: Amsterdam, Netherlands
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2019-08-27
date_created: 2019-09-18T08:06:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-01-26T08:27:10Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPICS.CONCUR.2019.20
external_id:
arxiv:
- '1905.03588'
file:
- access_level: open_access
checksum: 4df6d3575c506edb17215adada03cc8e
content_type: application/pdf
creator: kschuh
date_created: 2019-09-27T12:21:38Z
date_updated: 2020-07-14T12:47:43Z
file_id: '6915'
file_name: 2019_LIPIcs_Aghajohari.pdf
file_size: 741425
relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: ' 140'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-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_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Determinacy in discrete-bidding infinite-duration games
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: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 140
year: '2019'
...
---
_id: '6885'
abstract:
- lang: eng
text: 'A vector addition system with states (VASS) consists of a finite set of states
and counters. A configuration is a state and a value for each counter; a transition
changes the state and each counter is incremented, decremented, or left unchanged.
While qualitative properties such as state and configuration reachability have
been studied for VASS, we consider the long-run average cost of infinite computations
of VASS. The cost of a configuration is for each state, a linear combination of
the counter values. In the special case of uniform cost functions, the linear
combination is the same for all states. The (regular) long-run emptiness problem
is, given a VASS, a cost function, and a threshold value, if there is a (lasso-shaped)
computation such that the long-run average value of the cost function does not
exceed the threshold. For uniform cost functions, we show that the regular long-run
emptiness problem is (a) decidable in polynomial time for integer-valued VASS,
and (b) decidable but nonelementarily hard for natural-valued VASS (i.e., nonnegative
counters). For general cost functions, we show that the problem is (c) NP-complete
for integer-valued VASS, and (d) undecidable for natural-valued VASS. Our most
interesting result is for (c) integer-valued VASS with general cost functions,
where we establish a connection between the regular long-run emptiness problem
and quadratic Diophantine inequalities. The general (nonregular) long-run emptiness
problem is equally hard as the regular problem in all cases except (c), where
it remains open. '
alternative_title:
- LIPIcs
article_number: '27'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Long-run average behavior of vector addition
systems with states. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2019. doi:10.4230/LIPICS.CONCUR.2019.27'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2019). Long-run average
behavior of vector addition systems with states (Vol. 140). Presented at the CONCUR:
International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.CONCUR.2019.27'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Long-Run Average
Behavior of Vector Addition Systems with States,” Vol. 140. Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2019. https://doi.org/10.4230/LIPICS.CONCUR.2019.27.
ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Long-run average behavior of
vector addition systems with states,” presented at the CONCUR: International Conference
on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
ista: 'Chatterjee K, Henzinger TA, Otop J. 2019. Long-run average behavior of vector
addition systems with states. CONCUR: International Conference on Concurrency
Theory, LIPIcs, vol. 140, 27.'
mla: Chatterjee, Krishnendu, et al. Long-Run Average Behavior of Vector Addition
Systems with States. Vol. 140, 27, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2019, doi:10.4230/LIPICS.CONCUR.2019.27.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2019.
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title: Long-run average behavior of vector addition systems with states
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