---
_id: '13967'
abstract:
- lang: eng
text: 'A classic solution technique for Markov decision processes (MDP) and stochastic
games (SG) is value iteration (VI). Due to its good practical performance, this
approximative approach is typically preferred over exact techniques, even though
no practical bounds on the imprecision of the result could be given until recently.
As a consequence, even the most used model checkers could return arbitrarily wrong
results. Over the past decade, different works derived stopping criteria, indicating
when the precision reaches the desired level, for various settings, in particular
MDP with reachability, total reward, and mean payoff, and SG with reachability.In
this paper, we provide the first stopping criteria for VI on SG with total reward
and mean payoff, yielding the first anytime algorithms in these settings. To this
end, we provide the solution in two flavours: First through a reduction to the
MDP case and second directly on SG. The former is simpler and automatically utilizes
any advances on MDP. The latter allows for more local computations, heading towards
better practical efficiency.Our solution unifies the previously mentioned approaches
for MDP and SG and their underlying ideas. To achieve this, we isolate objective-specific
subroutines as well as identify objective-independent concepts. These structural
concepts, while surprisingly simple, form the very essence of the unified solution.'
acknowledgement: This research was funded in part by DFG projects 383882557 “SUV”
and 427755713 “GOPro”.
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Maximilian
full_name: Weininger, Maximilian
id: 02ab0197-cc70-11ed-ab61-918e71f56881
last_name: Weininger
citation:
ama: 'Kretinsky J, Meggendorfer T, Weininger M. Stopping criteria for value iteration
on stochastic games with quantitative objectives. In: 38th Annual ACM/IEEE
Symposium on Logic in Computer Science. Vol 2023. Institute of Electrical
and Electronics Engineers; 2023. doi:10.1109/LICS56636.2023.10175771'
apa: 'Kretinsky, J., Meggendorfer, T., & Weininger, M. (2023). Stopping criteria
for value iteration on stochastic games with quantitative objectives. In 38th
Annual ACM/IEEE Symposium on Logic in Computer Science (Vol. 2023). Boston,
MA, United States: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS56636.2023.10175771'
chicago: Kretinsky, Jan, Tobias Meggendorfer, and Maximilian Weininger. “Stopping
Criteria for Value Iteration on Stochastic Games with Quantitative Objectives.”
In 38th Annual ACM/IEEE Symposium on Logic in Computer Science, Vol. 2023.
Institute of Electrical and Electronics Engineers, 2023. https://doi.org/10.1109/LICS56636.2023.10175771.
ieee: J. Kretinsky, T. Meggendorfer, and M. Weininger, “Stopping criteria for value
iteration on stochastic games with quantitative objectives,” in 38th Annual
ACM/IEEE Symposium on Logic in Computer Science, Boston, MA, United States,
2023, vol. 2023.
ista: 'Kretinsky J, Meggendorfer T, Weininger M. 2023. Stopping criteria for value
iteration on stochastic games with quantitative objectives. 38th Annual ACM/IEEE
Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science
vol. 2023.'
mla: Kretinsky, Jan, et al. “Stopping Criteria for Value Iteration on Stochastic
Games with Quantitative Objectives.” 38th Annual ACM/IEEE Symposium on Logic
in Computer Science, vol. 2023, Institute of Electrical and Electronics Engineers,
2023, doi:10.1109/LICS56636.2023.10175771.
short: J. Kretinsky, T. Meggendorfer, M. Weininger, in:, 38th Annual ACM/IEEE Symposium
on Logic in Computer Science, Institute of Electrical and Electronics Engineers,
2023.
conference:
end_date: 2023-06-29
location: Boston, MA, United States
name: 'LICS: Symposium on Logic in Computer Science'
start_date: 2023-06-26
date_created: 2023-08-06T22:01:10Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2023-12-13T12:06:10Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/LICS56636.2023.10175771
external_id:
arxiv:
- '2304.09930'
isi:
- '001036707700042'
intvolume: ' 2023'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.09930
month: '07'
oa: 1
oa_version: Preprint
publication: 38th Annual ACM/IEEE Symposium on Logic in Computer Science
publication_identifier:
isbn:
- '9798350335873'
issn:
- 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Stopping criteria for value iteration on stochastic games with quantitative
objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2023
year: '2023'
...
---
_id: '14242'
abstract:
- lang: eng
text: We study the problem of training and certifying adversarially robust quantized
neural networks (QNNs). Quantization is a technique for making neural networks
more efficient by running them using low-bit integer arithmetic and is therefore
commonly adopted in industry. Recent work has shown that floating-point neural
networks that have been verified to be robust can become vulnerable to adversarial
attacks after quantization, and certification of the quantized representation
is necessary to guarantee robustness. In this work, we present quantization-aware
interval bound propagation (QA-IBP), a novel method for training robust QNNs.
Inspired by advances in robust learning of non-quantized networks, our training
algorithm computes the gradient of an abstract representation of the actual network.
Unlike existing approaches, our method can handle the discrete semantics of QNNs.
Based on QA-IBP, we also develop a complete verification procedure for verifying
the adversarial robustness of QNNs, which is guaranteed to terminate and produce
a correct answer. Compared to existing approaches, the key advantage of our verification
procedure is that it runs entirely on GPU or other accelerator devices. We demonstrate
experimentally that our approach significantly outperforms existing methods and
establish the new state-of-the-art for training and certifying the robustness
of QNNs.
acknowledgement: "This work was supported in part by the ERC-2020-AdG 101020093, ERC
CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. Research
was sponsored by the United\r\nStates Air Force Research Laboratory and the United
States Air Force Artificial Intelligence Accelerator and was accomplished under
Cooperative Agreement Number FA8750-19-2-\r\n1000. The views and conclusions contained
in this document are those of the authors and should not be interpreted as representing
the official policies, either expressed or implied,\r\nof the United States Air
Force or the U.S. Government. The U.S. Government is authorized to reproduce and
distribute reprints for Government purposes notwithstanding any copyright\r\nnotation
herein. The research was also funded in part by the AI2050 program at Schmidt Futures
(Grant G-22-63172) and Capgemini SE."
article_processing_charge: No
arxiv: 1
author:
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- 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: Daniela
full_name: Rus, Daniela
last_name: Rus
citation:
ama: 'Lechner M, Zikelic D, Chatterjee K, Henzinger TA, Rus D. Quantization-aware
interval bound propagation for training certifiably robust quantized neural networks.
In: Proceedings of the 37th AAAI Conference on Artificial Intelligence.
Vol 37. Association for the Advancement of Artificial Intelligence; 2023:14964-14973.
doi:10.1609/aaai.v37i12.26747'
apa: 'Lechner, M., Zikelic, D., Chatterjee, K., Henzinger, T. A., & Rus, D.
(2023). Quantization-aware interval bound propagation for training certifiably
robust quantized neural networks. In Proceedings of the 37th AAAI Conference
on Artificial Intelligence (Vol. 37, pp. 14964–14973). Washington, DC, United
States: Association for the Advancement of Artificial Intelligence. https://doi.org/10.1609/aaai.v37i12.26747'
chicago: Lechner, Mathias, Dorde Zikelic, Krishnendu Chatterjee, Thomas A Henzinger,
and Daniela Rus. “Quantization-Aware Interval Bound Propagation for Training Certifiably
Robust Quantized Neural Networks.” In Proceedings of the 37th AAAI Conference
on Artificial Intelligence, 37:14964–73. Association for the Advancement of
Artificial Intelligence, 2023. https://doi.org/10.1609/aaai.v37i12.26747.
ieee: M. Lechner, D. Zikelic, K. Chatterjee, T. A. Henzinger, and D. Rus, “Quantization-aware
interval bound propagation for training certifiably robust quantized neural networks,”
in Proceedings of the 37th AAAI Conference on Artificial Intelligence,
Washington, DC, United States, 2023, vol. 37, no. 12, pp. 14964–14973.
ista: 'Lechner M, Zikelic D, Chatterjee K, Henzinger TA, Rus D. 2023. Quantization-aware
interval bound propagation for training certifiably robust quantized neural networks.
Proceedings of the 37th AAAI Conference on Artificial Intelligence. AAAI: Conference
on Artificial Intelligence vol. 37, 14964–14973.'
mla: Lechner, Mathias, et al. “Quantization-Aware Interval Bound Propagation for
Training Certifiably Robust Quantized Neural Networks.” Proceedings of the
37th AAAI Conference on Artificial Intelligence, vol. 37, no. 12, Association
for the Advancement of Artificial Intelligence, 2023, pp. 14964–73, doi:10.1609/aaai.v37i12.26747.
short: M. Lechner, D. Zikelic, K. Chatterjee, T.A. Henzinger, D. Rus, in:, Proceedings
of the 37th AAAI Conference on Artificial Intelligence, Association for the Advancement
of Artificial Intelligence, 2023, pp. 14964–14973.
conference:
end_date: 2023-02-14
location: Washington, DC, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2023-02-07
date_created: 2023-08-27T22:01:17Z
date_published: 2023-06-26T00:00:00Z
date_updated: 2025-07-14T09:09:56Z
day: '26'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v37i12.26747
ec_funded: 1
external_id:
arxiv:
- '2211.16187'
intvolume: ' 37'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2211.16187
month: '06'
oa: 1
oa_version: Preprint
page: 14964-14973
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 37th AAAI Conference on Artificial Intelligence
publication_identifier:
isbn:
- '9781577358800'
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantization-aware interval bound propagation for training certifiably robust
quantized neural networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2023'
...
---
_id: '14243'
abstract:
- lang: eng
text: 'Two-player zero-sum "graph games" are central in logic, verification, and
multi-agent systems. The game proceeds by placing a token on a vertex of a graph,
and allowing the players to move it to produce an infinite path, which determines
the winner or payoff of the game. Traditionally, the players alternate turns in
moving the token. In "bidding games", however, the players have budgets and in
each turn, an auction (bidding) determines which player moves the token. So far,
bidding games have only been studied as full-information games. In this work we
initiate the study of partial-information bidding games: we study bidding games
in which a player''s initial budget is drawn from a known probability distribution.
We show that while for some bidding mechanisms and objectives, it is straightforward
to adapt the results from the full-information setting to the partial-information
setting, for others, the analysis is significantly more challenging, requires
new techniques, and gives rise to interesting results. Specifically, we study
games with "mean-payoff" objectives in combination with "poorman" bidding. We
construct optimal strategies for a partially-informed player who plays against
a fully-informed adversary. We show that, somewhat surprisingly, the "value" under
pure strategies does not necessarily exist in such games.'
acknowledgement: This research was supported in part by ISF grant no.1679/21, by the
ERC CoG 863818 (ForM-SMArt), and the European Union’s Horizon 2020 research and
innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.
article_processing_charge: No
arxiv: 1
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Avni G, Jecker IR, Zikelic D. Bidding graph games with partially-observable
budgets. In: Proceedings of the 37th AAAI Conference on Artificial Intelligence.
Vol 37. ; 2023:5464-5471. doi:10.1609/aaai.v37i5.25679'
apa: Avni, G., Jecker, I. R., & Zikelic, D. (2023). Bidding graph games with
partially-observable budgets. In Proceedings of the 37th AAAI Conference on
Artificial Intelligence (Vol. 37, pp. 5464–5471). Washington, DC, United States.
https://doi.org/10.1609/aaai.v37i5.25679
chicago: Avni, Guy, Ismael R Jecker, and Dorde Zikelic. “Bidding Graph Games with
Partially-Observable Budgets.” In Proceedings of the 37th AAAI Conference on
Artificial Intelligence, 37:5464–71, 2023. https://doi.org/10.1609/aaai.v37i5.25679.
ieee: G. Avni, I. R. Jecker, and D. Zikelic, “Bidding graph games with partially-observable
budgets,” in Proceedings of the 37th AAAI Conference on Artificial Intelligence,
Washington, DC, United States, 2023, vol. 37, no. 5, pp. 5464–5471.
ista: 'Avni G, Jecker IR, Zikelic D. 2023. Bidding graph games with partially-observable
budgets. Proceedings of the 37th AAAI Conference on Artificial Intelligence. AAAI:
Conference on Artificial Intelligence vol. 37, 5464–5471.'
mla: Avni, Guy, et al. “Bidding Graph Games with Partially-Observable Budgets.”
Proceedings of the 37th AAAI Conference on Artificial Intelligence, vol.
37, no. 5, 2023, pp. 5464–71, doi:10.1609/aaai.v37i5.25679.
short: G. Avni, I.R. Jecker, D. Zikelic, in:, Proceedings of the 37th AAAI Conference
on Artificial Intelligence, 2023, pp. 5464–5471.
conference:
end_date: 2023-02-14
location: Washington, DC, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2023-02-07
date_created: 2023-08-27T22:01:18Z
date_published: 2023-06-27T00:00:00Z
date_updated: 2025-07-14T09:09:56Z
day: '27'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1609/aaai.v37i5.25679
ec_funded: 1
external_id:
arxiv:
- '2211.13626'
intvolume: ' 37'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1609/aaai.v37i5.25679
month: '06'
oa: 1
oa_version: Published Version
page: 5464-5471
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 37th AAAI Conference on Artificial Intelligence
publication_identifier:
isbn:
- '9781577358800'
publication_status: published
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bidding graph games with partially-observable budgets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2023'
...
---
_id: '14259'
abstract:
- lang: eng
text: "We provide a learning-based technique for guessing a winning strategy in
a parity game originating from an LTL synthesis problem. A cheaply obtained guess
can be useful in several applications. Not only can the guessed strategy be applied
as best-effort in cases where the game’s huge size prohibits rigorous approaches,
but it can also increase the scalability of rigorous LTL synthesis in several
ways. Firstly, checking whether a guessed strategy is winning is easier than constructing
one. Secondly, even if the guess is wrong in some places, it can be fixed by strategy
iteration faster than constructing one from scratch. Thirdly, the guess can be
used in on-the-fly approaches to prioritize exploration in the most fruitful directions.\r\nIn
contrast to previous works, we (i) reflect the highly structured logical information
in game’s states, the so-called semantic labelling, coming from the recent LTL-to-automata
translations, and (ii) learn to reflect it properly by learning from previously
solved games, bringing the solving process closer to human-like reasoning."
acknowledgement: This research was funded in part by the German Research Foundation
(DFG) project 427755713 Group-By Objectives in Probabilistic Verification (GOPro).
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Maximilian
full_name: Prokop, Maximilian
last_name: Prokop
- first_name: Sabine
full_name: Rieder, Sabine
last_name: Rieder
citation:
ama: 'Kretinsky J, Meggendorfer T, Prokop M, Rieder S. Guessing winning policies
in LTL synthesis by semantic learning. In: 35th International Conference on
Computer Aided Verification . Vol 13964. Springer Nature; 2023:390-414. doi:10.1007/978-3-031-37706-8_20'
apa: 'Kretinsky, J., Meggendorfer, T., Prokop, M., & Rieder, S. (2023). Guessing
winning policies in LTL synthesis by semantic learning. In 35th International
Conference on Computer Aided Verification (Vol. 13964, pp. 390–414). Paris,
France: Springer Nature. https://doi.org/10.1007/978-3-031-37706-8_20'
chicago: Kretinsky, Jan, Tobias Meggendorfer, Maximilian Prokop, and Sabine Rieder.
“Guessing Winning Policies in LTL Synthesis by Semantic Learning.” In 35th
International Conference on Computer Aided Verification , 13964:390–414. Springer
Nature, 2023. https://doi.org/10.1007/978-3-031-37706-8_20.
ieee: J. Kretinsky, T. Meggendorfer, M. Prokop, and S. Rieder, “Guessing winning
policies in LTL synthesis by semantic learning,” in 35th International Conference
on Computer Aided Verification , Paris, France, 2023, vol. 13964, pp. 390–414.
ista: 'Kretinsky J, Meggendorfer T, Prokop M, Rieder S. 2023. Guessing winning policies
in LTL synthesis by semantic learning. 35th International Conference on Computer
Aided Verification . CAV: Computer Aided Verification, LNCS, vol. 13964, 390–414.'
mla: Kretinsky, Jan, et al. “Guessing Winning Policies in LTL Synthesis by Semantic
Learning.” 35th International Conference on Computer Aided Verification ,
vol. 13964, Springer Nature, 2023, pp. 390–414, doi:10.1007/978-3-031-37706-8_20.
short: J. Kretinsky, T. Meggendorfer, M. Prokop, S. Rieder, in:, 35th International
Conference on Computer Aided Verification , Springer Nature, 2023, pp. 390–414.
conference:
end_date: 2023-07-22
location: Paris, France
name: 'CAV: Computer Aided Verification'
start_date: 2023-07-17
date_created: 2023-09-03T22:01:16Z
date_published: 2023-07-17T00:00:00Z
date_updated: 2023-09-06T08:27:33Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-37706-8_20
file:
- access_level: open_access
checksum: ed66278b61bb869e1baba3d9b9081271
content_type: application/pdf
creator: dernst
date_created: 2023-09-06T08:25:50Z
date_updated: 2023-09-06T08:25:50Z
file_id: '14276'
file_name: 2023_LNCS_CAV_Kretinsky.pdf
file_size: 428354
relation: main_file
success: 1
file_date_updated: 2023-09-06T08:25:50Z
has_accepted_license: '1'
intvolume: ' 13964'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 390-414
publication: '35th International Conference on Computer Aided Verification '
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031377051'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Guessing winning policies in LTL synthesis by semantic learning
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: 13964
year: '2023'
...
---
_id: '12676'
abstract:
- lang: eng
text: Turn-based stochastic games (aka simple stochastic games) are two-player zero-sum
games played on directed graphs with probabilistic transitions. The goal of player-max
is to maximize the probability to reach a target state against the adversarial
player-min. These games lie in NP ∩ coNP and are among the rare combinatorial
problems that belong to this complexity class for which the existence of polynomial-time
algorithm is a major open question. While randomized sub-exponential time algorithm
exists, all known deterministic algorithms require exponential time in the worst-case.
An important open question has been whether faster algorithms can be obtained
parametrized by the treewidth of the game graph. Even deterministic sub-exponential
time algorithm for constant treewidth turn-based stochastic games has remain elusive.
In this work our main result is a deterministic algorithm to solve turn-based
stochastic games that, given a game with n states, treewidth at most t, and the
bit-complexity of the probabilistic transition function log D, has running time
O ((tn2 log D)t log n). In particular, our algorithm is quasi-polynomial time
for games with constant or poly-logarithmic treewidth.
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt)
grant.
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: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
citation:
ama: 'Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. Faster algorithm
for turn-based stochastic games with bounded treewidth. In: Proceedings of
the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial
and Applied Mathematics; 2023:4590-4605. doi:10.1137/1.9781611977554.ch173'
apa: 'Chatterjee, K., Meggendorfer, T., Saona Urmeneta, R. J., & Svoboda, J.
(2023). Faster algorithm for turn-based stochastic games with bounded treewidth.
In Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms
(pp. 4590–4605). Florence, Italy: Society for Industrial and Applied Mathematics.
https://doi.org/10.1137/1.9781611977554.ch173'
chicago: Chatterjee, Krishnendu, Tobias Meggendorfer, Raimundo J Saona Urmeneta,
and Jakub Svoboda. “Faster Algorithm for Turn-Based Stochastic Games with Bounded
Treewidth.” In Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete
Algorithms, 4590–4605. Society for Industrial and Applied Mathematics, 2023.
https://doi.org/10.1137/1.9781611977554.ch173.
ieee: K. Chatterjee, T. Meggendorfer, R. J. Saona Urmeneta, and J. Svoboda, “Faster
algorithm for turn-based stochastic games with bounded treewidth,” in Proceedings
of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Florence, Italy,
2023, pp. 4590–4605.
ista: 'Chatterjee K, Meggendorfer T, Saona Urmeneta RJ, Svoboda J. 2023. Faster
algorithm for turn-based stochastic games with bounded treewidth. Proceedings
of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium
on Discrete Algorithms, 4590–4605.'
mla: Chatterjee, Krishnendu, et al. “Faster Algorithm for Turn-Based Stochastic
Games with Bounded Treewidth.” Proceedings of the 2023 Annual ACM-SIAM Symposium
on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2023,
pp. 4590–605, doi:10.1137/1.9781611977554.ch173.
short: K. Chatterjee, T. Meggendorfer, R.J. Saona Urmeneta, J. Svoboda, in:, Proceedings
of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial
and Applied Mathematics, 2023, pp. 4590–4605.
conference:
end_date: 2023-01-25
location: Florence, Italy
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2023-01-22
date_created: 2023-02-24T12:20:47Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2025-07-14T09:09:50Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1137/1.9781611977554.ch173
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1137/1.9781611977554.ch173
month: '02'
oa: 1
oa_version: Published Version
page: 4590-4605
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 2023 Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
isbn:
- '9781611977554'
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
status: public
title: Faster algorithm for turn-based stochastic games with bounded treewidth
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12706'
abstract:
- lang: eng
text: Allometric settings of population dynamics models are appealing due to their
parsimonious nature and broad utility when studying system level effects. Here,
we parameterise the size-scaled Rosenzweig-MacArthur differential equations to
eliminate prey-mass dependency, facilitating an in depth analytic study of the
equations which incorporates scaling parameters’ contributions to coexistence.
We define the functional response term to match empirical findings, and examine
situations where metabolic theory derivations and observation diverge. The dynamical
properties of the Rosenzweig-MacArthur system, encompassing the distribution of
size-abundance equilibria, the scaling of period and amplitude of population cycling,
and relationships between predator and prey abundances, are consistent with empirical
observation. Our parameterisation is an accurate minimal model across 15+ orders
of mass magnitude.
acknowledgement: "This research was supported by an Australian Government Research
Training Program\r\n(RTP) Scholarship to JCM (https://www.dese.gov.au), and LB is
supported by the Centre de\r\nrecherche sur le vieillissement Fellowship Program.
The funders had no role in study design, data collection and analysis, decision
to publish, or preparation of the manuscript."
article_processing_charge: No
article_type: original
author:
- first_name: Jody C.
full_name: Mckerral, Jody C.
last_name: Mckerral
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Vladimir
full_name: Ejov, Vladimir
last_name: Ejov
- first_name: Louise
full_name: Bartle, Louise
last_name: Bartle
- first_name: James G.
full_name: Mitchell, James G.
last_name: Mitchell
- first_name: Jerzy A.
full_name: Filar, Jerzy A.
last_name: Filar
citation:
ama: Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. Empirical
parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur
equations. PLoS One. 2023;18(2):e0279838. doi:10.1371/journal.pone.0279838
apa: Mckerral, J. C., Kleshnina, M., Ejov, V., Bartle, L., Mitchell, J. G., &
Filar, J. A. (2023). Empirical parameterisation and dynamical analysis of the
allometric Rosenzweig-MacArthur equations. PLoS One. Public Library of
Science. https://doi.org/10.1371/journal.pone.0279838
chicago: Mckerral, Jody C., Maria Kleshnina, Vladimir Ejov, Louise Bartle, James
G. Mitchell, and Jerzy A. Filar. “Empirical Parameterisation and Dynamical Analysis
of the Allometric Rosenzweig-MacArthur Equations.” PLoS One. Public Library
of Science, 2023. https://doi.org/10.1371/journal.pone.0279838.
ieee: J. C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J. G. Mitchell, and J. A.
Filar, “Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur
equations,” PLoS One, vol. 18, no. 2. Public Library of Science, p. e0279838,
2023.
ista: Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. 2023. Empirical
parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur
equations. PLoS One. 18(2), e0279838.
mla: Mckerral, Jody C., et al. “Empirical Parameterisation and Dynamical Analysis
of the Allometric Rosenzweig-MacArthur Equations.” PLoS One, vol. 18, no.
2, Public Library of Science, 2023, p. e0279838, doi:10.1371/journal.pone.0279838.
short: J.C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J.G. Mitchell, J.A. Filar,
PLoS One 18 (2023) e0279838.
date_created: 2023-03-05T23:01:05Z
date_published: 2023-02-27T00:00:00Z
date_updated: 2023-10-17T12:53:30Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pone.0279838
external_id:
isi:
- '000996122900022'
pmid:
- '36848357'
file:
- access_level: open_access
checksum: 798ed5739a4117b03173e5d56e0534c9
content_type: application/pdf
creator: cchlebak
date_created: 2023-03-07T10:26:45Z
date_updated: 2023-03-07T10:26:45Z
file_id: '12712'
file_name: 2023_PLOSOne_Mckerral.pdf
file_size: 1257003
relation: main_file
success: 1
file_date_updated: 2023-03-07T10:26:45Z
has_accepted_license: '1'
intvolume: ' 18'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: e0279838
pmid: 1
publication: PLoS One
publication_identifier:
eissn:
- 1932-6203
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur
equations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2023'
...
---
_id: '12738'
abstract:
- lang: eng
text: We study turn-based stochastic zero-sum games with lexicographic preferences
over objectives. Stochastic games are standard models in control, verification,
and synthesis of stochastic reactive systems that exhibit both randomness as well
as controllable and adversarial non-determinism. Lexicographic order allows one
to consider multiple objectives with a strict preference order. To the best of
our knowledge, stochastic games with lexicographic objectives have not been studied
before. For a mixture of reachability and safety objectives, we show that deterministic
lexicographically optimal strategies exist and memory is only required to remember
the already satisfied and violated objectives. For a constant number of objectives,
we show that the relevant decision problem is in NP∩coNP, matching the current
known bound for single objectives; and in general the decision problem is PSPACE-hard
and can be solved in NEXPTIME∩coNEXPTIME. We present an algorithm that computes
the lexicographically optimal strategies via a reduction to the computation of
optimal strategies in a sequence of single-objectives games. For omega-regular
objectives, we restrict our analysis to one-player games, also known as Markov
decision processes. We show that lexicographically optimal strategies exist and
need either randomization or finite memory. We present an algorithm that solves
the relevant decision problem in polynomial time. We have implemented our algorithms
and report experimental results on various case studies.
acknowledgement: Tobias Winkler and Joost-Pieter Katoen are supported by the DFG RTG
2236 UnRAVeL and the innovation programme under the Marie Skłodowska-Curie grant
agreement No. 101008233 (Mission). Krishnendu Chatterjee is supported by the ERC
CoG 863818 (ForM-SMArt) and the Vienna Science and Technology Fund (WWTF) Project
ICT15-003. Maximilian Weininger is supported by the DFG projects 383882557 Statistical
Unbounded Verification (SUV) and 427755713 Group-By Objectives in Probabilistic
Verification (GOPro). Stefanie Mohr is supported by the DFG RTG 2428 CONVEY. Open
Access funding enabled and organized by Projekt DEAL.
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: Joost P
full_name: Katoen, Joost P
id: 4524F760-F248-11E8-B48F-1D18A9856A87
last_name: Katoen
- first_name: Stefanie
full_name: Mohr, Stefanie
last_name: Mohr
- first_name: Maximilian
full_name: Weininger, Maximilian
last_name: Weininger
- first_name: Tobias
full_name: Winkler, Tobias
last_name: Winkler
citation:
ama: Chatterjee K, Katoen JP, Mohr S, Weininger M, Winkler T. Stochastic games with
lexicographic objectives. Formal Methods in System Design. 2023. doi:10.1007/s10703-023-00411-4
apa: Chatterjee, K., Katoen, J. P., Mohr, S., Weininger, M., & Winkler, T. (2023).
Stochastic games with lexicographic objectives. Formal Methods in System Design.
Springer Nature. https://doi.org/10.1007/s10703-023-00411-4
chicago: Chatterjee, Krishnendu, Joost P Katoen, Stefanie Mohr, Maximilian Weininger,
and Tobias Winkler. “Stochastic Games with Lexicographic Objectives.” Formal
Methods in System Design. Springer Nature, 2023. https://doi.org/10.1007/s10703-023-00411-4.
ieee: K. Chatterjee, J. P. Katoen, S. Mohr, M. Weininger, and T. Winkler, “Stochastic
games with lexicographic objectives,” Formal Methods in System Design.
Springer Nature, 2023.
ista: Chatterjee K, Katoen JP, Mohr S, Weininger M, Winkler T. 2023. Stochastic
games with lexicographic objectives. Formal Methods in System Design.
mla: Chatterjee, Krishnendu, et al. “Stochastic Games with Lexicographic Objectives.”
Formal Methods in System Design, Springer Nature, 2023, doi:10.1007/s10703-023-00411-4.
short: K. Chatterjee, J.P. Katoen, S. Mohr, M. Weininger, T. Winkler, Formal Methods
in System Design (2023).
date_created: 2023-03-19T23:00:59Z
date_published: 2023-03-08T00:00:00Z
date_updated: 2025-07-14T09:10:14Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s10703-023-00411-4
ec_funded: 1
external_id:
isi:
- '000946174300001'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s10703-023-00411-4
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Formal Methods in System Design
publication_identifier:
eissn:
- 1572-8102
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8272'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Stochastic games with lexicographic objectives
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12787'
abstract:
- lang: eng
text: "Populations evolve in spatially heterogeneous environments. While a certain
trait might bring a fitness advantage in some patch of the environment, a different
trait might be advantageous in another patch. Here, we study the Moran birth–death
process with two types of individuals in a population stretched across two patches
of size N, each patch favouring one of the two types. We show that the long-term
fate of such populations crucially depends on the migration rate μ\r\n between
the patches. To classify the possible fates, we use the distinction between polynomial
(short) and exponential (long) timescales. We show that when μ is high then one
of the two types fixates on the whole population after a number of steps that
is only polynomial in N. By contrast, when μ is low then each type holds majority
in the patch where it is favoured for a number of steps that is at least exponential
in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
those two scenarios, thereby exactly delineating the situations that support long-term
coexistence of the two types. We also discuss the case of various cycle graphs
and we present computer simulations that perfectly match our analytical results."
acknowledgement: J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)
article_number: '20220685'
article_processing_charge: No
article_type: original
author:
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran
process with environmental heterogeneity. Proceedings of the Royal Society
A: Mathematical, Physical and Engineering Sciences. 2023;479(2271). doi:10.1098/rspa.2022.0685'
apa: 'Svoboda, J., Tkadlec, J., Kaveh, K., & Chatterjee, K. (2023). Coexistence
times in the Moran process with environmental heterogeneity. Proceedings of
the Royal Society A: Mathematical, Physical and Engineering Sciences. The
Royal Society. https://doi.org/10.1098/rspa.2022.0685'
chicago: 'Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee.
“Coexistence Times in the Moran Process with Environmental Heterogeneity.” Proceedings
of the Royal Society A: Mathematical, Physical and Engineering Sciences. The
Royal Society, 2023. https://doi.org/10.1098/rspa.2022.0685.'
ieee: 'J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in
the Moran process with environmental heterogeneity,” Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences, vol. 479, no.
2271. The Royal Society, 2023.'
ista: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the
Moran process with environmental heterogeneity. Proceedings of the Royal Society
A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.'
mla: 'Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental
Heterogeneity.” Proceedings of the Royal Society A: Mathematical, Physical
and Engineering Sciences, vol. 479, no. 2271, 20220685, The Royal Society,
2023, doi:10.1098/rspa.2022.0685.'
short: 'J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal
Society A: Mathematical, Physical and Engineering Sciences 479 (2023).'
date_created: 2023-04-02T22:01:09Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2025-07-14T09:09:51Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2022.0685
ec_funded: 1
external_id:
isi:
- '000957125500002'
file:
- access_level: open_access
checksum: 13953d349fbefcb5d21ccc6b303297eb
content_type: application/pdf
creator: dernst
date_created: 2023-04-03T06:25:29Z
date_updated: 2023-04-03T06:25:29Z
file_id: '12796'
file_name: 2023_ProceedingsRoyalSocietyA_Svoboda.pdf
file_size: 827784
relation: main_file
success: 1
file_date_updated: 2023-04-03T06:25:29Z
has_accepted_license: '1'
intvolume: ' 479'
isi: 1
issue: '2271'
language:
- iso: eng
month: '03'
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: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
Sciences'
publication_identifier:
eissn:
- 1471-2946
issn:
- 1364-5021
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
related_material:
link:
- relation: research_data
url: https://doi.org/10.6084/m9.figshare.21261771.v1
scopus_import: '1'
status: public
title: Coexistence times in the Moran process with environmental heterogeneity
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 479
year: '2023'
...
---
_id: '12833'
abstract:
- lang: eng
text: 'The input to the token swapping problem is a graph with vertices v1, v2,
. . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex. The goal
is to get token i to vertex vi for all i= 1, . . . , n using a minimum number
of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token
swapping on a tree, also known as “sorting with a transposition tree,” is not
known to be in P nor NP-complete. We present some partial results: 1. An optimum
swap sequence may need to perform a swap on a leaf vertex that has the correct
token (a “happy leaf”), disproving a conjecture of Vaughan. 2. Any algorithm that
fixes happy leaves—as all known approximation algorithms for the problem do—has
approximation factor at least 4/3. Furthermore, the two best-known 2-approximation
algorithms have approximation factor exactly 2. 3. A generalized problem—weighted
coloured token swapping—is NP-complete on trees, but solvable in polynomial time
on paths and stars. In this version, tokens and vertices have colours, and colours
have weights. The goal is to get every token to a vertex of the same colour, and
the cost of a swap is the sum of the weights of the two tokens involved.'
acknowledgement: "This work was begun at the University of Waterloo and was partially
supported by the Natural Sciences and Engineering Council of Canada (NSERC).\r\n"
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Ahmad
full_name: Biniaz, Ahmad
last_name: Biniaz
- first_name: Kshitij
full_name: Jain, Kshitij
last_name: Jain
- first_name: Anna
full_name: Lubiw, Anna
last_name: Lubiw
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
- first_name: Tillmann
full_name: Miltzow, Tillmann
last_name: Miltzow
- first_name: Debajyoti
full_name: Mondal, Debajyoti
last_name: Mondal
- first_name: Anurag Murty
full_name: Naredla, Anurag Murty
last_name: Naredla
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Alexi
full_name: Turcotte, Alexi
last_name: Turcotte
citation:
ama: Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. Discrete Mathematics
and Theoretical Computer Science. 2023;24(2). doi:10.46298/DMTCS.8383
apa: Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte,
A. (2023). Token swapping on trees. Discrete Mathematics and Theoretical Computer
Science. EPI Sciences. https://doi.org/10.46298/DMTCS.8383
chicago: Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow,
Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token
Swapping on Trees.” Discrete Mathematics and Theoretical Computer Science.
EPI Sciences, 2023. https://doi.org/10.46298/DMTCS.8383.
ieee: A. Biniaz et al., “Token swapping on trees,” Discrete Mathematics
and Theoretical Computer Science, vol. 24, no. 2. EPI Sciences, 2023.
ista: Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec
J, Turcotte A. 2023. Token swapping on trees. Discrete Mathematics and Theoretical
Computer Science. 24(2), 9.
mla: Biniaz, Ahmad, et al. “Token Swapping on Trees.” Discrete Mathematics and
Theoretical Computer Science, vol. 24, no. 2, 9, EPI Sciences, 2023, doi:10.46298/DMTCS.8383.
short: A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla,
J. Tkadlec, A. Turcotte, Discrete Mathematics and Theoretical Computer Science
24 (2023).
date_created: 2023-04-16T22:01:08Z
date_published: 2023-01-18T00:00:00Z
date_updated: 2024-01-04T12:42:09Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
- _id: HeEd
- _id: UlWa
doi: 10.46298/DMTCS.8383
external_id:
arxiv:
- '1903.06981'
file:
- access_level: open_access
checksum: 439102ea4f6e2aeefd7107dfb9ccf532
content_type: application/pdf
creator: dernst
date_created: 2023-04-17T08:10:28Z
date_updated: 2023-04-17T08:10:28Z
file_id: '12844'
file_name: 2022_DMTCS_Biniaz.pdf
file_size: 2072197
relation: main_file
success: 1
file_date_updated: 2023-04-17T08:10:28Z
has_accepted_license: '1'
intvolume: ' 24'
issue: '2'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: Discrete Mathematics and Theoretical Computer Science
publication_identifier:
eissn:
- 1365-8050
issn:
- 1462-7264
publication_status: published
publisher: EPI Sciences
quality_controlled: '1'
related_material:
record:
- id: '7950'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Token swapping on trees
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2023'
...
---
_id: '12861'
abstract:
- lang: eng
text: The field of indirect reciprocity investigates how social norms can foster
cooperation when individuals continuously monitor and assess each other’s social
interactions. By adhering to certain social norms, cooperating individuals can
improve their reputation and, in turn, receive benefits from others. Eight social
norms, known as the “leading eight," have been shown to effectively promote the
evolution of cooperation as long as information is public and reliable. These
norms categorize group members as either ’good’ or ’bad’. In this study, we examine
a scenario where individuals instead assign nuanced reputation scores to each
other, and only cooperate with those whose reputation exceeds a certain threshold.
We find both analytically and through simulations that such quantitative assessments
are error-correcting, thus facilitating cooperation in situations where information
is private and unreliable. Moreover, our results identify four specific norms
that are robust to such conditions, and may be relevant for helping to sustain
cooperation in natural populations.
acknowledgement: 'This work was supported by the European Research Council CoG 863818
(ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529:
E-DIRECT (to C.H.). L.S. received additional partial support by the Austrian Science
Fund (FWF) under grant Z211-N23 (Wittgenstein Award), and also thanks the support
by the Stochastic Analysis and Application Research Center (SAARC) under National
Research Foundation of Korea grant NRF-2019R1A5A1028324. The authors additionally
thank Stefan Schmid for providing access to his lab infrastructure at the University
of Vienna for the purpose of collecting simulation data.'
article_number: '2086'
article_processing_charge: No
article_type: original
author:
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Farbod
full_name: Ekbatani, Farbod
last_name: Ekbatani
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Schmid L, Ekbatani F, Hilbe C, Chatterjee K. Quantitative assessment can stabilize
indirect reciprocity under imperfect information. Nature Communications.
2023;14. doi:10.1038/s41467-023-37817-x
apa: Schmid, L., Ekbatani, F., Hilbe, C., & Chatterjee, K. (2023). Quantitative
assessment can stabilize indirect reciprocity under imperfect information. Nature
Communications. Springer Nature. https://doi.org/10.1038/s41467-023-37817-x
chicago: Schmid, Laura, Farbod Ekbatani, Christian Hilbe, and Krishnendu Chatterjee.
“Quantitative Assessment Can Stabilize Indirect Reciprocity under Imperfect Information.”
Nature Communications. Springer Nature, 2023. https://doi.org/10.1038/s41467-023-37817-x.
ieee: L. Schmid, F. Ekbatani, C. Hilbe, and K. Chatterjee, “Quantitative assessment
can stabilize indirect reciprocity under imperfect information,” Nature Communications,
vol. 14. Springer Nature, 2023.
ista: Schmid L, Ekbatani F, Hilbe C, Chatterjee K. 2023. Quantitative assessment
can stabilize indirect reciprocity under imperfect information. Nature Communications.
14, 2086.
mla: Schmid, Laura, et al. “Quantitative Assessment Can Stabilize Indirect Reciprocity
under Imperfect Information.” Nature Communications, vol. 14, 2086, Springer
Nature, 2023, doi:10.1038/s41467-023-37817-x.
short: L. Schmid, F. Ekbatani, C. Hilbe, K. Chatterjee, Nature Communications 14
(2023).
date_created: 2023-04-23T22:01:03Z
date_published: 2023-04-12T00:00:00Z
date_updated: 2025-07-14T09:09:52Z
day: '12'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1038/s41467-023-37817-x
ec_funded: 1
external_id:
isi:
- '001003644100020'
pmid:
- '37045828'
file:
- access_level: open_access
checksum: a4b3b7b36fbef068cabf4fb99501fef6
content_type: application/pdf
creator: dernst
date_created: 2023-04-25T09:13:53Z
date_updated: 2023-04-25T09:13:53Z
file_id: '12868'
file_name: 2023_NatureComm_Schmid.pdf
file_size: 1786475
relation: main_file
success: 1
file_date_updated: 2023-04-25T09:13:53Z
has_accepted_license: '1'
intvolume: ' 14'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Nature Communications
publication_identifier:
eissn:
- 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative assessment can stabilize indirect reciprocity under imperfect
information
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 14
year: '2023'
...
---
_id: '10731'
abstract:
- lang: eng
text: Motivated by COVID-19, we develop and analyze a simple stochastic model for
the spread of disease in human population. We track how the number of infected
and critically ill people develops over time in order to estimate the demand that
is imposed on the hospital system. To keep this demand under control, we consider
a class of simple policies for slowing down and reopening society and we compare
their efficiency in mitigating the spread of the virus from several different
points of view. We find that in order to avoid overwhelming of the hospital system,
a policy must impose a harsh lockdown or it must react swiftly (or both). While
reacting swiftly is universally beneficial, being harsh pays off only when the
country is patient about reopening and when the neighboring countries coordinate
their mitigation efforts. Our work highlights the importance of acting decisively
when closing down and the importance of patience and coordination between neighboring
countries when reopening.
acknowledgement: 'K.C. acknowledges support from ERC Consolidator Grant No. (863818:
ForM-SMart). A.P. acknowledges support from FWF Grant No. J-4220. M.A.N. acknowledges
support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton
Foundation.'
article_number: '1526'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Josef
full_name: Tkadlec, Josef
last_name: Tkadlec
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Infection dynamics
of COVID-19 virus under lockdown and reopening. Scientific Reports. 2022;12(1).
doi:10.1038/s41598-022-05333-5
apa: Svoboda, J., Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M.
A. (2022). Infection dynamics of COVID-19 virus under lockdown and reopening.
Scientific Reports. Springer Nature. https://doi.org/10.1038/s41598-022-05333-5
chicago: Svoboda, Jakub, Josef Tkadlec, Andreas Pavlogiannis, Krishnendu Chatterjee,
and Martin A. Nowak. “Infection Dynamics of COVID-19 Virus under Lockdown and
Reopening.” Scientific Reports. Springer Nature, 2022. https://doi.org/10.1038/s41598-022-05333-5.
ieee: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Infection
dynamics of COVID-19 virus under lockdown and reopening,” Scientific Reports,
vol. 12, no. 1. Springer Nature, 2022.
ista: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2022. Infection
dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. 12(1),
1526.
mla: Svoboda, Jakub, et al. “Infection Dynamics of COVID-19 Virus under Lockdown
and Reopening.” Scientific Reports, vol. 12, no. 1, 1526, Springer Nature,
2022, doi:10.1038/s41598-022-05333-5.
short: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Scientific
Reports 12 (2022).
date_created: 2022-02-06T23:01:30Z
date_published: 2022-01-27T00:00:00Z
date_updated: 2025-07-14T09:10:12Z
day: '27'
ddc:
- '570'
department:
- _id: KrCh
doi: 10.1038/s41598-022-05333-5
ec_funded: 1
external_id:
arxiv:
- '2012.15155'
isi:
- '000749198000039'
file:
- access_level: open_access
checksum: 247afd30c173390940f099ead35a28ed
content_type: application/pdf
creator: alisjak
date_created: 2022-02-07T14:57:59Z
date_updated: 2022-02-07T14:57:59Z
file_id: '10744'
file_name: 2022_ScientificReports_Svoboda.pdf
file_size: 2971922
relation: main_file
success: 1
file_date_updated: 2022-02-07T14:57:59Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
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: Scientific Reports
publication_identifier:
eissn:
- 2045-2322
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infection dynamics of COVID-19 virus under lockdown and reopening
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2022'
...
---
_id: '11402'
abstract:
- lang: eng
text: Fixed-horizon planning considers a weighted graph and asks to construct a
path that maximizes the sum of weights for a given time horizon T. However, in
many scenarios, the time horizon is not fixed, but the stopping time is chosen
according to some distribution such that the expected stopping time is T. If the
stopping-time distribution is not known, then to ensure robustness, the distribution
is chosen by an adversary as the worst-case scenario. A stationary plan for every
vertex always chooses the same outgoing edge. For fixed horizon or fixed stopping-time
distribution, stationary plans are not sufficient for optimality. Quite surprisingly
we show that when an adversary chooses the stopping-time distribution with expected
stopping-time T, then stationary plans are sufficient. While computing optimal
stationary plans for fixed horizon is NP-complete, we show that computing optimal
stationary plans under adversarial stopping-time distribution can be achieved
in polynomial time.
acknowledgement: This work was partially supported by Austrian Science Fund (FWF)
NFN Grant No RiSE/SHiNE S11407 and by the grant ERC CoG 863818 (ForM-SMArt).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: Chatterjee K, Doyen L. Graph planning with expected finite horizon. Journal
of Computer and System Sciences. 2022;129:1-21. doi:10.1016/j.jcss.2022.04.003
apa: Chatterjee, K., & Doyen, L. (2022). Graph planning with expected finite
horizon. Journal of Computer and System Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2022.04.003
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected
Finite Horizon.” Journal of Computer and System Sciences. Elsevier, 2022.
https://doi.org/10.1016/j.jcss.2022.04.003.
ieee: K. Chatterjee and L. Doyen, “Graph planning with expected finite horizon,”
Journal of Computer and System Sciences, vol. 129. Elsevier, pp. 1–21,
2022.
ista: Chatterjee K, Doyen L. 2022. Graph planning with expected finite horizon.
Journal of Computer and System Sciences. 129, 1–21.
mla: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite
Horizon.” Journal of Computer and System Sciences, vol. 129, Elsevier,
2022, pp. 1–21, doi:10.1016/j.jcss.2022.04.003.
short: K. Chatterjee, L. Doyen, Journal of Computer and System Sciences 129 (2022)
1–21.
date_created: 2022-05-22T22:01:40Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2025-07-14T09:09:54Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2022.04.003
ec_funded: 1
external_id:
arxiv:
- '1802.03642'
isi:
- '000805002800001'
intvolume: ' 129'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.1802.03642'
month: '11'
oa: 1
oa_version: Preprint
page: 1-21
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of Computer and System Sciences
publication_identifier:
eissn:
- 1090-2724
issn:
- 0022-0000
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '7402'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Graph planning with expected finite horizon
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 129
year: '2022'
...
---
_id: '11459'
abstract:
- lang: eng
text: 'We present a novel approach to differential cost analysis that, given a program
revision, attempts to statically bound the difference in resource usage, or cost,
between the two program versions. Differential cost analysis is particularly interesting
because of the many compelling applications for it, such as detecting resource-use
regressions at code-review time or proving the absence of certain side-channel
vulnerabilities. One prior approach to differential cost analysis is to apply
relational reasoning that conceptually constructs a product program on which one
can over-approximate the difference in costs between the two program versions.
However, a significant challenge in any relational approach is effectively aligning
the program versions to get precise results. In this paper, our key insight is
that we can avoid the need for and the limitations of program alignment if, instead,
we bound the difference of two cost-bound summaries rather than directly bounding
the concrete cost difference. In particular, our method computes a threshold value
for the maximal difference in cost between two program versions simultaneously
using two kinds of cost-bound summaries---a potential function that evaluates
to an upper bound for the cost incurred in the first program and an anti-potential
function that evaluates to a lower bound for the cost incurred in the second.
Our method has a number of desirable properties: it can be fully automated, it
allows optimizing the threshold value on relative cost, it is suitable for programs
that are not syntactically similar, and it supports non-determinism. We have evaluated
an implementation of our approach on a number of program pairs collected from
the literature, and we find that our method computes tight threshold values on
relative cost in most examples.'
acknowledgement: "We thank Shaun Willows, Thomas Lugnet, and the Living Room Application
Vending team for suggesting threshold\r\nbounds as a developer-friendly way to interact
with a differential cost analyzer, and we thank Jim Christy, Daniel\r\nSchoepe,
and the Prime Video Automated Reasoning team for their support and helpful suggestions
throughout the\r\nproject. We also thank Michael Emmi for feedback on an earlier
version of this paper. And finally, we thank the anonymous reviewers for their useful
feedback and Aws Albarghouthi for shepherding the final version of the paper. Ðorđe
Žikelić was also partially supported by ERC CoG 863818 (FoRM-SMArt)."
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Bor-Yuh Evan
full_name: Chang, Bor-Yuh Evan
last_name: Chang
- first_name: Pauline
full_name: Bolignano, Pauline
last_name: Bolignano
- first_name: Franco
full_name: Raimondi, Franco
last_name: Raimondi
citation:
ama: 'Zikelic D, Chang B-YE, Bolignano P, Raimondi F. Differential cost analysis
with simultaneous potentials and anti-potentials. In: Proceedings of the 43rd
ACM SIGPLAN International Conference on Programming Language Design and Implementation.
Association for Computing Machinery; 2022:442-457. doi:10.1145/3519939.3523435'
apa: 'Zikelic, D., Chang, B.-Y. E., Bolignano, P., & Raimondi, F. (2022). Differential
cost analysis with simultaneous potentials and anti-potentials. In Proceedings
of the 43rd ACM SIGPLAN International Conference on Programming Language Design
and Implementation (pp. 442–457). San Diego, CA, United States: Association
for Computing Machinery. https://doi.org/10.1145/3519939.3523435'
chicago: Zikelic, Dorde, Bor-Yuh Evan Chang, Pauline Bolignano, and Franco Raimondi.
“Differential Cost Analysis with Simultaneous Potentials and Anti-Potentials.”
In Proceedings of the 43rd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, 442–57. Association for Computing Machinery,
2022. https://doi.org/10.1145/3519939.3523435.
ieee: D. Zikelic, B.-Y. E. Chang, P. Bolignano, and F. Raimondi, “Differential cost
analysis with simultaneous potentials and anti-potentials,” in Proceedings
of the 43rd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, San Diego, CA, United States, 2022, pp. 442–457.
ista: 'Zikelic D, Chang B-YE, Bolignano P, Raimondi F. 2022. Differential cost analysis
with simultaneous potentials and anti-potentials. Proceedings of the 43rd ACM
SIGPLAN International Conference on Programming Language Design and Implementation.
PLDI: Programming Language Design and Implementation, 442–457.'
mla: Zikelic, Dorde, et al. “Differential Cost Analysis with Simultaneous Potentials
and Anti-Potentials.” Proceedings of the 43rd ACM SIGPLAN International Conference
on Programming Language Design and Implementation, Association for Computing
Machinery, 2022, pp. 442–57, doi:10.1145/3519939.3523435.
short: D. Zikelic, B.-Y.E. Chang, P. Bolignano, F. Raimondi, in:, Proceedings of
the 43rd ACM SIGPLAN International Conference on Programming Language Design and
Implementation, Association for Computing Machinery, 2022, pp. 442–457.
conference:
end_date: 2022-06-17
location: San Diego, CA, United States
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2022-06-13
date_created: 2022-06-21T09:26:15Z
date_published: 2022-06-09T00:00:00Z
date_updated: 2025-07-14T09:09:54Z
day: '09'
ddc:
- '000'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1145/3519939.3523435
ec_funded: 1
external_id:
arxiv:
- '2204.00870'
isi:
- '000850435600030'
file:
- access_level: open_access
checksum: 7eb915a2ca5b5ce4729321f33b2e16e1
content_type: application/pdf
creator: dernst
date_created: 2022-06-27T07:38:21Z
date_updated: 2022-06-27T07:38:21Z
file_id: '11466'
file_name: 2022_PLDI_Zikelic.pdf
file_size: 318697
relation: main_file
success: 1
file_date_updated: 2022-06-27T07:38:21Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: 442-457
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 43rd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450392655'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Differential cost analysis with simultaneous potentials and anti-potentials
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2022'
...
---
_id: '14600'
abstract:
- lang: eng
text: We study the problem of learning controllers for discrete-time non-linear
stochastic dynamical systems with formal reach-avoid guarantees. This work presents
the first method for providing formal reach-avoid guarantees, which combine and
generalize stability and safety guarantees, with a tolerable probability threshold
$p\in[0,1]$ over the infinite time horizon. Our method leverages advances in machine
learning literature and it represents formal certificates as neural networks.
In particular, we learn a certificate in the form of a reach-avoid supermartingale
(RASM), a novel notion that we introduce in this work. Our RASMs provide reachability
and avoidance guarantees by imposing constraints on what can be viewed as a stochastic
extension of level sets of Lyapunov functions for deterministic systems. Our approach
solves several important problems -- it can be used to learn a control policy
from scratch, to verify a reach-avoid specification for a fixed control policy,
or to fine-tune a pre-trained policy if it does not satisfy the reach-avoid specification.
We validate our approach on $3$ stochastic non-linear reinforcement learning tasks.
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
for stochastic systems with reach-avoid guarantees. arXiv. doi:10.48550/ARXIV.2210.05308
apa: Zikelic, D., Lechner, M., Henzinger, T. A., & Chatterjee, K. (n.d.). Learning
control policies for stochastic systems with reach-avoid guarantees. arXiv.
https://doi.org/10.48550/ARXIV.2210.05308
chicago: Zikelic, Dorde, Mathias Lechner, Thomas A Henzinger, and Krishnendu Chatterjee.
“Learning Control Policies for Stochastic Systems with Reach-Avoid Guarantees.”
ArXiv, n.d. https://doi.org/10.48550/ARXIV.2210.05308.
ieee: D. Zikelic, M. Lechner, T. A. Henzinger, and K. Chatterjee, “Learning control
policies for stochastic systems with reach-avoid guarantees,” arXiv. .
ista: Zikelic D, Lechner M, Henzinger TA, Chatterjee K. Learning control policies
for stochastic systems with reach-avoid guarantees. arXiv, 10.48550/ARXIV.2210.05308.
mla: Zikelic, Dorde, et al. “Learning Control Policies for Stochastic Systems with
Reach-Avoid Guarantees.” ArXiv, doi:10.48550/ARXIV.2210.05308.
short: D. Zikelic, M. Lechner, T.A. Henzinger, K. Chatterjee, ArXiv (n.d.).
date_created: 2023-11-24T13:10:09Z
date_published: 2022-11-29T00:00:00Z
date_updated: 2025-07-14T09:10:02Z
day: '29'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/ARXIV.2210.05308
ec_funded: 1
external_id:
arxiv:
- '2210.05308'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2210.05308
month: '11'
oa: 1
oa_version: Preprint
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
- id: '14830'
relation: later_version
status: public
status: public
title: Learning control policies for stochastic systems with reach-avoid guarantees
tmp:
image: /images/cc_by_sa.png
legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
BY-SA 4.0)
short: CC BY-SA (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '14601'
abstract:
- lang: eng
text: "In this work, we address the problem of learning provably stable neural\r\nnetwork
policies for stochastic control systems. While recent work has\r\ndemonstrated
the feasibility of certifying given policies using martingale\r\ntheory, the problem
of how to learn such policies is little explored. Here, we\r\nstudy the effectiveness
of jointly learning a policy together with a martingale\r\ncertificate that proves
its stability using a single learning algorithm. We\r\nobserve that the joint
optimization problem becomes easily stuck in local\r\nminima when starting from
a randomly initialized policy. Our results suggest\r\nthat some form of pre-training
of the policy is required for the joint\r\noptimization to repair and verify the
policy successfully."
article_processing_charge: No
arxiv: 1
author:
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Mathias
full_name: Lechner, Mathias
id: 3DC22916-F248-11E8-B48F-1D18A9856A87
last_name: Lechner
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
citation:
ama: Zikelic D, Lechner M, Chatterjee K, Henzinger TA. Learning stabilizing policies
in stochastic control systems. arXiv. doi:10.48550/arXiv.2205.11991
apa: Zikelic, D., Lechner, M., Chatterjee, K., & Henzinger, T. A. (n.d.). Learning
stabilizing policies in stochastic control systems. arXiv. https://doi.org/10.48550/arXiv.2205.11991
chicago: Zikelic, Dorde, Mathias Lechner, Krishnendu Chatterjee, and Thomas A Henzinger.
“Learning Stabilizing Policies in Stochastic Control Systems.” ArXiv, n.d.
https://doi.org/10.48550/arXiv.2205.11991.
ieee: D. Zikelic, M. Lechner, K. Chatterjee, and T. A. Henzinger, “Learning stabilizing
policies in stochastic control systems,” arXiv. .
ista: Zikelic D, Lechner M, Chatterjee K, Henzinger TA. Learning stabilizing policies
in stochastic control systems. arXiv, 10.48550/arXiv.2205.11991.
mla: Zikelic, Dorde, et al. “Learning Stabilizing Policies in Stochastic Control
Systems.” ArXiv, doi:10.48550/arXiv.2205.11991.
short: D. Zikelic, M. Lechner, K. Chatterjee, T.A. Henzinger, ArXiv (n.d.).
date_created: 2023-11-24T13:22:30Z
date_published: 2022-05-24T00:00:00Z
date_updated: 2025-07-14T09:10:00Z
day: '24'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/arXiv.2205.11991
ec_funded: 1
external_id:
arxiv:
- '2205.11991'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2205.11991
month: '05'
oa: 1
oa_version: Preprint
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: arXiv
publication_status: submitted
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
status: public
title: Learning stabilizing policies in stochastic control systems
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '9311'
abstract:
- lang: eng
text: 'Partially observable Markov decision processes (POMDPs) are standard models
for dynamic systems with probabilistic and nondeterministic behaviour in uncertain
environments. We prove that in POMDPs with long-run average objective, the decision
maker has approximately optimal strategies with finite memory. This implies notably
that approximating the long-run value is recursively enumerable, as well as a
weak continuity property of the value with respect to the transition function. '
acknowledgement: "Partially supported by Austrian Science Fund (FWF) NFN Grant No
RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT
through grant C15E03.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
- first_name: Bruno
full_name: Ziliotto, Bruno
last_name: Ziliotto
citation:
ama: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs
with long-run average objectives. Mathematics of Operations Research. 2022;47(1):100-119.
doi:10.1287/moor.2020.1116
apa: Chatterjee, K., Saona Urmeneta, R. J., & Ziliotto, B. (2022). Finite-memory
strategies in POMDPs with long-run average objectives. Mathematics of Operations
Research. Institute for Operations Research and the Management Sciences. https://doi.org/10.1287/moor.2020.1116
chicago: Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto.
“Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” Mathematics
of Operations Research. Institute for Operations Research and the Management
Sciences, 2022. https://doi.org/10.1287/moor.2020.1116.
ieee: K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies
in POMDPs with long-run average objectives,” Mathematics of Operations Research,
vol. 47, no. 1. Institute for Operations Research and the Management Sciences,
pp. 100–119, 2022.
ista: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies
in POMDPs with long-run average objectives. Mathematics of Operations Research.
47(1), 100–119.
mla: Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run
Average Objectives.” Mathematics of Operations Research, vol. 47, no. 1,
Institute for Operations Research and the Management Sciences, 2022, pp. 100–19,
doi:10.1287/moor.2020.1116.
short: K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations
Research 47 (2022) 100–119.
date_created: 2021-04-08T09:33:31Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-09-05T13:16:11Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2020.1116
external_id:
arxiv:
- '1904.13360'
isi:
- '000731918100001'
intvolume: ' 47'
isi: 1
issue: '1'
keyword:
- Management Science and Operations Research
- General Mathematics
- Computer Science Applications
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.13360
month: '02'
oa: 1
oa_version: Preprint
page: 100-119
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Mathematics of Operations Research
publication_identifier:
eissn:
- 1526-5471
issn:
- 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite-memory strategies in POMDPs with long-run average objectives
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 47
year: '2022'
...
---
_id: '10602'
abstract:
- lang: eng
text: Transforming ω-automata into parity automata is traditionally done using appearance
records. We present an efficient variant of this idea, tailored to Rabin automata,
and several optimizations applicable to all appearance records. We compare the
methods experimentally and show that our method produces significantly smaller
automata than previous approaches.
acknowledgement: This work is partially funded by the German Research Foundation (DFG)
projects Verified Model Checkers (No. 317422601) and Statistical Unbounded Verification
(No. 383882557), and the Alexander von Humboldt Foundation with funds from the German
Federal Ministry of Education and Research. It is an extended version of [21], including
all proofs together with further explanations and examples. Moreover, we provide
a new, more efficient construction based on (total) preorders, unifying previous
optimizations. Experiments are performed with a new, performant implementation,
comparing our approach to the current state of the art.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Clara
full_name: Waldmann, Clara
last_name: Waldmann
- first_name: Maximilian
full_name: Weininger, Maximilian
last_name: Weininger
citation:
ama: Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record
with preorders. Acta Informatica. 2022;59:585-618. doi:10.1007/s00236-021-00412-y
apa: Kretinsky, J., Meggendorfer, T., Waldmann, C., & Weininger, M. (2022).
Index appearance record with preorders. Acta Informatica. Springer Nature.
https://doi.org/10.1007/s00236-021-00412-y
chicago: Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger.
“Index Appearance Record with Preorders.” Acta Informatica. Springer Nature,
2022. https://doi.org/10.1007/s00236-021-00412-y.
ieee: J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance
record with preorders,” Acta Informatica, vol. 59. Springer Nature, pp.
585–618, 2022.
ista: Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2022. Index appearance
record with preorders. Acta Informatica. 59, 585–618.
mla: Kretinsky, Jan, et al. “Index Appearance Record with Preorders.” Acta Informatica,
vol. 59, Springer Nature, 2022, pp. 585–618, doi:10.1007/s00236-021-00412-y.
short: J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, Acta Informatica
59 (2022) 585–618.
date_created: 2022-01-06T12:37:27Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2023-08-02T13:49:28Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s00236-021-00412-y
external_id:
isi:
- '000735765500001'
file:
- access_level: open_access
checksum: bf1c195b6aaf59e8530cf9e3a9d731f7
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-07T07:50:31Z
date_updated: 2022-01-07T07:50:31Z
file_id: '10603'
file_name: 2021_ActaInfor_Křetínský.pdf
file_size: 1066082
relation: main_file
success: 1
file_date_updated: 2022-01-07T07:50:31Z
has_accepted_license: '1'
intvolume: ' 59'
isi: 1
keyword:
- computer networks and communications
- information systems
- software
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 585-618
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Acta Informatica
publication_identifier:
eissn:
- 1432-0525
issn:
- 0001-5903
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Index appearance record with preorders
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 59
year: '2022'
...
---
_id: '11938'
abstract:
- lang: eng
text: A matching is compatible to two or more labeled point sets of size n with
labels {1, . . . , n} if its straight-line drawing on each of these point sets
is crossing-free. We study the maximum number of edges in a matching compatible
to two or more labeled point sets in general position in the plane. We show that
for any two labeled sets of n points in convex position there exists a compatible
matching with ⌊√2n + 1 − 1⌋ edges. More generally, for any ℓ labeled point sets
we construct compatible matchings of size Ω(n1/ℓ). As a corresponding upper bound,
we use probabilistic arguments to show that for any ℓ given sets of n points there
exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1))
edges. Finally, we show that Θ(log n) copies of any set of n points are necessary
and sufficient for the existence of labelings of these point sets such that any
compatible matching consists only of a single edge.
acknowledgement: 'A.A. funded by the Marie Sklodowska-Curie grant agreement No 754411.
Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
(RiSE).'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Oswin
full_name: Aichholzer, Oswin
last_name: Aichholzer
- first_name: Alan M
full_name: Arroyo Guevara, Alan M
id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
last_name: Arroyo Guevara
orcid: 0000-0003-2401-8670
- first_name: Zuzana
full_name: Masárová, Zuzana
id: 45CFE238-F248-11E8-B48F-1D18A9856A87
last_name: Masárová
orcid: 0000-0002-6660-1322
- first_name: Irene
full_name: Parada, Irene
last_name: Parada
- first_name: Daniel
full_name: Perz, Daniel
last_name: Perz
- first_name: Alexander
full_name: Pilz, Alexander
last_name: Pilz
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Birgit
full_name: Vogtenhuber, Birgit
last_name: Vogtenhuber
citation:
ama: Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
Journal of Graph Algorithms and Applications. 2022;26(2):225-240. doi:10.7155/jgaa.00591
apa: Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
Pilz, A., … Vogtenhuber, B. (2022). On compatible matchings. Journal of Graph
Algorithms and Applications. Brown University. https://doi.org/10.7155/jgaa.00591
chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
Matchings.” Journal of Graph Algorithms and Applications. Brown University,
2022. https://doi.org/10.7155/jgaa.00591.
ieee: O. Aichholzer et al., “On compatible matchings,” Journal of Graph
Algorithms and Applications, vol. 26, no. 2. Brown University, pp. 225–240,
2022.
ista: Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and
Applications. 26(2), 225–240.
mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” Journal of Graph Algorithms
and Applications, vol. 26, no. 2, Brown University, 2022, pp. 225–40, doi:10.7155/jgaa.00591.
short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022)
225–240.
date_created: 2022-08-21T22:01:56Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-02-23T13:54:21Z
day: '01'
ddc:
- '000'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.7155/jgaa.00591
ec_funded: 1
external_id:
arxiv:
- '2101.03928'
file:
- access_level: open_access
checksum: dc6e255e3558faff924fd9e370886c11
content_type: application/pdf
creator: dernst
date_created: 2022-08-22T06:42:42Z
date_updated: 2022-08-22T06:42:42Z
file_id: '11940'
file_name: 2022_JourGraphAlgorithmsApplic_Aichholzer.pdf
file_size: 694538
relation: main_file
success: 1
file_date_updated: 2022-08-22T06:42:42Z
has_accepted_license: '1'
intvolume: ' 26'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 225-240
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Journal of Graph Algorithms and Applications
publication_identifier:
issn:
- 1526-1719
publication_status: published
publisher: Brown University
quality_controlled: '1'
related_material:
record:
- id: '9296'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: On compatible matchings
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2022'
...
---
_id: '12000'
abstract:
- lang: eng
text: "We consider the quantitative problem of obtaining lower-bounds on the probability
of termination of a given non-deterministic probabilistic program. Specifically,
given a non-termination threshold p∈[0,1], we aim for certificates proving that
the program terminates with probability at least 1−p. The basic idea of our approach
is to find a terminating stochastic invariant, i.e. a subset SI of program states
such that (i) the probability of the program ever leaving SI is no more than p,
and (ii) almost-surely, the program either leaves SI or terminates.\r\n\r\nWhile
stochastic invariants are already well-known, we provide the first proof that
the idea above is not only sound, but also complete for quantitative termination
analysis. We then introduce a novel sound and complete characterization of stochastic
invariants that enables template-based approaches for easy synthesis of quantitative
termination certificates, especially in affine or polynomial forms. Finally, by
combining this idea with the existing martingale-based methods that are relatively
complete for qualitative termination analysis, we obtain the first automated,
sound, and relatively complete algorithm for quantitative termination analysis.
Notably, our completeness guarantees for quantitative termination analysis are
as strong as the best-known methods for the qualitative variant.\r\n\r\nOur prototype
implementation demonstrates the effectiveness of our approach on various probabilistic
programs. We also demonstrate that our algorithm certifies lower bounds on termination
probability for probabilistic programs that are beyond the reach of previous methods."
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
the HKUST-Kaisa Joint Research Institute Project Grant HKJRI3A-055, the HKUST Startup
Grant R9272 and the European Union’s Horizon 2020 research and innovation programme
under the Marie Skłodowska-Curie Grant Agreement No. 665385.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
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: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. Sound and complete
certificates for auantitative termination analysis of probabilistic programs.
In: Proceedings of the 34th International Conference on Computer Aided Verification.
Vol 13371. Springer; 2022:55-78. doi:10.1007/978-3-031-13185-1_4'
apa: 'Chatterjee, K., Goharshady, A. K., Meggendorfer, T., & Zikelic, D. (2022).
Sound and complete certificates for auantitative termination analysis of probabilistic
programs. In Proceedings of the 34th International Conference on Computer Aided
Verification (Vol. 13371, pp. 55–78). Haifa, Israel: Springer. https://doi.org/10.1007/978-3-031-13185-1_4'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Tobias Meggendorfer,
and Dorde Zikelic. “Sound and Complete Certificates for Auantitative Termination
Analysis of Probabilistic Programs.” In Proceedings of the 34th International
Conference on Computer Aided Verification, 13371:55–78. Springer, 2022. https://doi.org/10.1007/978-3-031-13185-1_4.
ieee: K. Chatterjee, A. K. Goharshady, T. Meggendorfer, and D. Zikelic, “Sound and complete
certificates for auantitative termination analysis of probabilistic programs,”
in Proceedings of the 34th International Conference on Computer Aided Verification,
Haifa, Israel, 2022, vol. 13371, pp. 55–78.
ista: 'Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. 2022. Sound and complete
certificates for auantitative termination analysis of probabilistic programs.
Proceedings of the 34th International Conference on Computer Aided Verification.
CAV: Computer Aided Verification, LNCS, vol. 13371, 55–78.'
mla: Chatterjee, Krishnendu, et al. “Sound and Complete Certificates for Auantitative
Termination Analysis of Probabilistic Programs.” Proceedings of the 34th International
Conference on Computer Aided Verification, vol. 13371, Springer, 2022, pp.
55–78, doi:10.1007/978-3-031-13185-1_4.
short: K. Chatterjee, A.K. Goharshady, T. Meggendorfer, D. Zikelic, in:, Proceedings
of the 34th International Conference on Computer Aided Verification, Springer,
2022, pp. 55–78.
conference:
end_date: 2022-08-10
location: Haifa, Israel
name: 'CAV: Computer Aided Verification'
start_date: 2022-08-07
date_created: 2022-08-28T22:02:02Z
date_published: 2022-08-07T00:00:00Z
date_updated: 2025-07-14T09:09:58Z
day: '07'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-13185-1_4
ec_funded: 1
external_id:
isi:
- '000870304500004'
file:
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checksum: 24e0f810ec52735a90ade95198bc641d
content_type: application/pdf
creator: alisjak
date_created: 2022-08-29T09:17:01Z
date_updated: 2022-08-29T09:17:01Z
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file_name: 2022_LNCS_Chatterjee.pdf
file_size: 505094
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success: 1
file_date_updated: 2022-08-29T09:17:01Z
has_accepted_license: '1'
intvolume: ' 13371'
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language:
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month: '08'
oa: 1
oa_version: Published Version
page: 55-78
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
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call_identifier: H2020
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name: International IST Doctoral Program
publication: Proceedings of the 34th International Conference on Computer Aided Verification
publication_identifier:
eissn:
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isbn:
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issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Sound and complete certificates for auantitative termination analysis of probabilistic
programs
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: 13371
year: '2022'
...
---
_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
orcid: 0000-0002-1419-3267
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: 2025-07-14T09:09:55Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2022.11
ec_funded: 1
file:
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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
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'
...