---
_id: '14317'
abstract:
- lang: eng
text: "Markov decision processes can be viewed as transformers of probability distributions.
While this view is useful from a practical standpoint to reason about trajectories
of distributions, basic reachability and safety problems are known to be computationally
intractable (i.e., Skolem-hard) to solve in such models. Further, we show that
even for simple examples of MDPs, strategies for safety objectives over distributions
can require infinite memory and randomization.\r\nIn light of this, we present
a novel overapproximation approach to synthesize strategies in an MDP, such that
a safety objective over the distributions is met. More precisely, we develop a
new framework for template-based synthesis of certificates as affine distributional
and inductive invariants for safety objectives in MDPs. We provide two algorithms
within this framework. One can only synthesize memoryless strategies, but has
relative completeness guarantees, while the other can synthesize general strategies.
The runtime complexity of both algorithms is in PSPACE. We implement these algorithms
and show that they can solve several non-trivial examples."
acknowledgement: This work was supported in part 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 as well as DST/CEFIPRA/INRIA project
EQuaVE and SERB Matrices grant MTR/2018/00074.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: S.
full_name: Akshay, S.
last_name: Akshay
- 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: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Akshay S, Chatterjee K, Meggendorfer T, Zikelic D. MDPs as distribution transformers:
Affine invariant synthesis for safety objectives. In: International Conference
on Computer Aided Verification. Vol 13966. Springer Nature; 2023:86-112. doi:10.1007/978-3-031-37709-9_5'
apa: 'Akshay, S., Chatterjee, K., Meggendorfer, T., & Zikelic, D. (2023). MDPs
as distribution transformers: Affine invariant synthesis for safety objectives.
In International Conference on Computer Aided Verification (Vol. 13966,
pp. 86–112). Paris, France: Springer Nature. https://doi.org/10.1007/978-3-031-37709-9_5'
chicago: 'Akshay, S., Krishnendu Chatterjee, Tobias Meggendorfer, and Dorde Zikelic.
“MDPs as Distribution Transformers: Affine Invariant Synthesis for Safety Objectives.”
In International Conference on Computer Aided Verification, 13966:86–112.
Springer Nature, 2023. https://doi.org/10.1007/978-3-031-37709-9_5.'
ieee: 'S. Akshay, K. Chatterjee, T. Meggendorfer, and D. Zikelic, “MDPs as distribution
transformers: Affine invariant synthesis for safety objectives,” in International
Conference on Computer Aided Verification, Paris, France, 2023, vol. 13966,
pp. 86–112.'
ista: 'Akshay S, Chatterjee K, Meggendorfer T, Zikelic D. 2023. MDPs as distribution
transformers: Affine invariant synthesis for safety objectives. International
Conference on Computer Aided Verification. CAV: Computer Aided Verification, LNCS,
vol. 13966, 86–112.'
mla: 'Akshay, S., et al. “MDPs as Distribution Transformers: Affine Invariant Synthesis
for Safety Objectives.” International Conference on Computer Aided Verification,
vol. 13966, Springer Nature, 2023, pp. 86–112, doi:10.1007/978-3-031-37709-9_5.'
short: S. Akshay, K. Chatterjee, T. Meggendorfer, D. Zikelic, in:, International
Conference on Computer Aided Verification, Springer Nature, 2023, pp. 86–112.
conference:
end_date: 2023-07-22
location: Paris, France
name: 'CAV: Computer Aided Verification'
start_date: 2023-07-17
date_created: 2023-09-10T22:01:12Z
date_published: 2023-07-17T00:00:00Z
date_updated: 2025-07-14T09:09:56Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-37709-9_5
ec_funded: 1
file:
- access_level: open_access
checksum: f143c8eedf609f20f2aad2eeb496d53f
content_type: application/pdf
creator: dernst
date_created: 2023-09-20T08:46:43Z
date_updated: 2023-09-20T08:46:43Z
file_id: '14349'
file_name: 2023_LNCS_Akshay.pdf
file_size: 531745
relation: main_file
success: 1
file_date_updated: 2023-09-20T08:46:43Z
has_accepted_license: '1'
intvolume: ' 13966'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '07'
oa: 1
oa_version: Published Version
page: 86-112
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: International Conference on Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031377082'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'MDPs as distribution transformers: Affine invariant synthesis for safety objectives'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13966
year: '2023'
...
---
_id: '14417'
abstract:
- lang: eng
text: Entropic risk (ERisk) is an established risk measure in finance, quantifying
risk by an exponential re-weighting of rewards. We study ERisk for the first time
in the context of turn-based stochastic games with the total reward objective.
This gives rise to an objective function that demands the control of systems in
a risk-averse manner. We show that the resulting games are determined and, in
particular, admit optimal memoryless deterministic strategies. This contrasts
risk measures that previously have been considered in the special case of Markov
decision processes and that require randomization and/or memory. We provide several
results on the decidability and the computational complexity of the threshold
problem, i.e. whether the optimal value of ERisk exceeds a given threshold. In
the most general case, the problem is decidable subject to Shanuel’s conjecture.
If all inputs are rational, the resulting threshold problem can be solved using
algebraic numbers, leading to decidability via a polynomial-time reduction to
the existential theory of the reals. Further restrictions on the encoding of the
input allow the solution of the threshold problem in NP∩coNP. Finally, an approximation
algorithm for the optimal value of ERisk is provided.
acknowledgement: "This work was partly funded by the ERC CoG 863818 (ForM-SMArt),
the DFG Grant\r\n389792660 as part of TRR 248 (Foundations of Perspicuous Software
Systems), the Cluster of\r\nExcellence EXC 2050/1 (CeTI, project ID 390696704, as
part of Germany’s Excellence Strategy), and the DFG projects BA-1679/11-1 and BA-1679/12-1."
alternative_title:
- LIPIcs
article_number: '15'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Christel
full_name: Baier, Christel
last_name: Baier
- 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: Jakob
full_name: Piribauer, Jakob
last_name: Piribauer
citation:
ama: 'Baier C, Chatterjee K, Meggendorfer T, Piribauer J. Entropic risk for turn-based
stochastic games. In: 48th International Symposium on Mathematical Foundations
of Computer Science. Vol 272. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2023. doi:10.4230/LIPIcs.MFCS.2023.15'
apa: 'Baier, C., Chatterjee, K., Meggendorfer, T., & Piribauer, J. (2023). Entropic
risk for turn-based stochastic games. In 48th International Symposium on Mathematical
Foundations of Computer Science (Vol. 272). Bordeaux, France: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2023.15'
chicago: Baier, Christel, Krishnendu Chatterjee, Tobias Meggendorfer, and Jakob
Piribauer. “Entropic Risk for Turn-Based Stochastic Games.” In 48th International
Symposium on Mathematical Foundations of Computer Science, Vol. 272. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2023. https://doi.org/10.4230/LIPIcs.MFCS.2023.15.
ieee: C. Baier, K. Chatterjee, T. Meggendorfer, and J. Piribauer, “Entropic risk
for turn-based stochastic games,” in 48th International Symposium on Mathematical
Foundations of Computer Science, Bordeaux, France, 2023, vol. 272.
ista: 'Baier C, Chatterjee K, Meggendorfer T, Piribauer J. 2023. Entropic risk for
turn-based stochastic games. 48th International Symposium on Mathematical Foundations
of Computer Science. MFCS: Symposium on Mathematical Foundations of Computer Science,
LIPIcs, vol. 272, 15.'
mla: Baier, Christel, et al. “Entropic Risk for Turn-Based Stochastic Games.” 48th
International Symposium on Mathematical Foundations of Computer Science, vol.
272, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.MFCS.2023.15.
short: C. Baier, K. Chatterjee, T. Meggendorfer, J. Piribauer, in:, 48th International
Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2023.
conference:
end_date: 2023-09-01
location: Bordeaux, France
name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
start_date: 2023-08-28
date_created: 2023-10-09T09:21:05Z
date_published: 2023-08-21T00:00:00Z
date_updated: 2025-07-14T09:09:57Z
day: '21'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2023.15
ec_funded: 1
external_id:
arxiv:
- '2307.06611'
file:
- access_level: open_access
checksum: 402281b17ed669bbf149d0fdf68ac201
content_type: application/pdf
creator: dernst
date_created: 2023-10-09T09:19:11Z
date_updated: 2023-10-09T09:19:11Z
file_id: '14418'
file_name: 2023_LIPIcsMFCS_Baier.pdf
file_size: 826843
relation: main_file
success: 1
file_date_updated: 2023-10-09T09:19:11Z
has_accepted_license: '1'
intvolume: ' 272'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 48th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
eissn:
- 1868-8969
isbn:
- '9783959772921'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Entropic risk for turn-based stochastic 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: 272
year: '2023'
...
---
_id: '14518'
abstract:
- lang: eng
text: We consider bidding games, a class of two-player zero-sum graph games. The
game proceeds as follows. Both players have bounded budgets. A token is placed
on a vertex of a graph, in each turn the players simultaneously submit bids, and
the higher bidder moves the token, where we break bidding ties in favor of Player
1. Player 1 wins the game iff the token visits a designated target vertex. We
consider, for the first time, poorman discrete-bidding in which the granularity
of the bids is restricted and the higher bid is paid to the bank. Previous work
either did not impose granularity restrictions or considered Richman bidding (bids
are paid to the opponent). While the latter mechanisms are technically more accessible,
the former is more appealing from a practical standpoint. Our study focuses on
threshold budgets, which is the necessary and sufficient initial budget required
for Player 1 to ensure winning against a given Player 2 budget. We first show
existence of thresholds. In DAGs, we show that threshold budgets can be approximated
with error bounds by thresholds under continuous-bidding and that they exhibit
a periodic behavior. We identify closed-form solutions in special cases. We implement
and experiment with an algorithm to find threshold budgets.
acknowledgement: This research was supported in part by ISF grant no. 1679/21, ERC
CoG 863818 (FoRM-SMArt) and the European Union’s Horizon 2020 research and innovation
programme under the Marie SkłodowskaCurie 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: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Suman
full_name: Sadhukhan, Suman
last_name: Sadhukhan
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- 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, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. Reachability poorman
discrete-bidding games. In: Frontiers in Artificial Intelligence and Applications.
Vol 372. IOS Press; 2023:141-148. doi:10.3233/FAIA230264'
apa: 'Avni, G., Meggendorfer, T., Sadhukhan, S., Tkadlec, J., & Zikelic, D.
(2023). Reachability poorman discrete-bidding games. In Frontiers in Artificial
Intelligence and Applications (Vol. 372, pp. 141–148). Krakow, Poland: IOS
Press. https://doi.org/10.3233/FAIA230264'
chicago: Avni, Guy, Tobias Meggendorfer, Suman Sadhukhan, Josef Tkadlec, and Dorde
Zikelic. “Reachability Poorman Discrete-Bidding Games.” In Frontiers in Artificial
Intelligence and Applications, 372:141–48. IOS Press, 2023. https://doi.org/10.3233/FAIA230264.
ieee: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, and D. Zikelic, “Reachability
poorman discrete-bidding games,” in Frontiers in Artificial Intelligence and
Applications, Krakow, Poland, 2023, vol. 372, pp. 141–148.
ista: 'Avni G, Meggendorfer T, Sadhukhan S, Tkadlec J, Zikelic D. 2023. Reachability
poorman discrete-bidding games. Frontiers in Artificial Intelligence and Applications.
ECAI: European Conference on Artificial Intelligence vol. 372, 141–148.'
mla: Avni, Guy, et al. “Reachability Poorman Discrete-Bidding Games.” Frontiers
in Artificial Intelligence and Applications, vol. 372, IOS Press, 2023, pp.
141–48, doi:10.3233/FAIA230264.
short: G. Avni, T. Meggendorfer, S. Sadhukhan, J. Tkadlec, D. Zikelic, in:, Frontiers
in Artificial Intelligence and Applications, IOS Press, 2023, pp. 141–148.
conference:
end_date: 2023-10-04
location: Krakow, Poland
name: 'ECAI: European Conference on Artificial Intelligence'
start_date: 2023-09-30
date_created: 2023-11-12T23:00:56Z
date_published: 2023-09-28T00:00:00Z
date_updated: 2025-07-14T09:09:57Z
day: '28'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.3233/FAIA230264
ec_funded: 1
external_id:
arxiv:
- '2307.15218'
file:
- access_level: open_access
checksum: 1390ca38480fa4cf286b0f1a42e8c12f
content_type: application/pdf
creator: dernst
date_created: 2023-11-13T10:16:10Z
date_updated: 2023-11-13T10:16:10Z
file_id: '14529'
file_name: 2023_FAIA_Avni.pdf
file_size: 501011
relation: main_file
success: 1
file_date_updated: 2023-11-13T10:16:10Z
has_accepted_license: '1'
intvolume: ' 372'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '09'
oa: 1
oa_version: Published Version
page: 141-148
project:
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Frontiers in Artificial Intelligence and Applications
publication_identifier:
isbn:
- '9781643684369'
issn:
- 0922-6389
publication_status: published
publisher: IOS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Reachability poorman discrete-bidding games
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 372
year: '2023'
...
---
_id: '14990'
abstract:
- lang: eng
text: The software artefact to evaluate the approximation of stationary distributions
implementation.
article_processing_charge: No
author:
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
citation:
ama: 'Meggendorfer T. Artefact for: Correct Approximation of Stationary Distributions.
2023. doi:10.5281/ZENODO.7548214'
apa: 'Meggendorfer, T. (2023). Artefact for: Correct Approximation of Stationary
Distributions. Zenodo. https://doi.org/10.5281/ZENODO.7548214'
chicago: 'Meggendorfer, Tobias. “Artefact for: Correct Approximation of Stationary
Distributions.” Zenodo, 2023. https://doi.org/10.5281/ZENODO.7548214.'
ieee: 'T. Meggendorfer, “Artefact for: Correct Approximation of Stationary Distributions.”
Zenodo, 2023.'
ista: 'Meggendorfer T. 2023. Artefact for: Correct Approximation of Stationary Distributions,
Zenodo, 10.5281/ZENODO.7548214.'
mla: 'Meggendorfer, Tobias. Artefact for: Correct Approximation of Stationary
Distributions. Zenodo, 2023, doi:10.5281/ZENODO.7548214.'
short: T. Meggendorfer, (2023).
date_created: 2024-02-14T14:27:06Z
date_published: 2023-01-18T00:00:00Z
date_updated: 2024-02-27T07:19:32Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.5281/ZENODO.7548214
has_accepted_license: '1'
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/zenodo.7548214
month: '01'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
record:
- id: '13139'
relation: used_in_publication
status: public
status: public
title: 'Artefact for: Correct Approximation of Stationary Distributions'
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: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '13139'
abstract:
- lang: eng
text: A classical problem for Markov chains is determining their stationary (or
steady-state) distribution. This problem has an equally classical solution based
on eigenvectors and linear equation systems. However, this approach does not scale
to large instances, and iterative solutions are desirable. It turns out that a
naive approach, as used by current model checkers, may yield completely wrong
results. We present a new approach, which utilizes recent advances in partial
exploration and mean payoff computation to obtain a correct, converging approximation.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
citation:
ama: 'Meggendorfer T. Correct approximation of stationary distributions. In: TACAS
2023: Tools and Algorithms for the Construction and Analysis of Systems. Vol
13993. Springer Nature; 2023:489-507. doi:10.1007/978-3-031-30823-9_25'
apa: 'Meggendorfer, T. (2023). Correct approximation of stationary distributions.
In TACAS 2023: Tools and Algorithms for the Construction and Analysis of Systems
(Vol. 13993, pp. 489–507). Paris, France: Springer Nature. https://doi.org/10.1007/978-3-031-30823-9_25'
chicago: 'Meggendorfer, Tobias. “Correct Approximation of Stationary Distributions.”
In TACAS 2023: Tools and Algorithms for the Construction and Analysis of Systems,
13993:489–507. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-30823-9_25.'
ieee: 'T. Meggendorfer, “Correct approximation of stationary distributions,” in
TACAS 2023: Tools and Algorithms for the Construction and Analysis of Systems,
Paris, France, 2023, vol. 13993, pp. 489–507.'
ista: 'Meggendorfer T. 2023. Correct approximation of stationary distributions.
TACAS 2023: Tools and Algorithms for the Construction and Analysis of Systems.
TACAS: Tools and Algorithms for the Construction and Analysis of Systems, LNCS,
vol. 13993, 489–507.'
mla: 'Meggendorfer, Tobias. “Correct Approximation of Stationary Distributions.”
TACAS 2023: Tools and Algorithms for the Construction and Analysis of Systems,
vol. 13993, Springer Nature, 2023, pp. 489–507, doi:10.1007/978-3-031-30823-9_25.'
short: 'T. Meggendorfer, in:, TACAS 2023: Tools and Algorithms for the Construction
and Analysis of Systems, Springer Nature, 2023, pp. 489–507.'
conference:
end_date: 2023-04-27
location: Paris, France
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2023-04-22
date_created: 2023-06-18T22:00:46Z
date_published: 2023-04-22T00:00:00Z
date_updated: 2024-02-27T07:19:33Z
day: '22'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-30823-9_25
external_id:
arxiv:
- '2301.08137'
file:
- access_level: open_access
checksum: 59f707a3949c03793251b0d04c62542a
content_type: application/pdf
creator: dernst
date_created: 2023-06-19T07:18:40Z
date_updated: 2023-06-19T07:18:40Z
file_id: '13148'
file_name: 2023_LNCS_Meggendorfer.pdf
file_size: 521951
relation: main_file
success: 1
file_date_updated: 2023-06-19T07:18:40Z
has_accepted_license: '1'
intvolume: ' 13993'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 489-507
publication: 'TACAS 2023: Tools and Algorithms for the Construction and Analysis of
Systems'
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031308222'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '14990'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Correct approximation of stationary distributions
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: 13993
year: '2023'
...
---
_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: '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: '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: '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:
- access_level: open_access
checksum: 24e0f810ec52735a90ade95198bc641d
content_type: application/pdf
creator: alisjak
date_created: 2022-08-29T09:17:01Z
date_updated: 2022-08-29T09:17:01Z
file_id: '12003'
file_name: 2022_LNCS_Chatterjee.pdf
file_size: 505094
relation: main_file
success: 1
file_date_updated: 2022-08-29T09:17:01Z
has_accepted_license: '1'
intvolume: ' 13371'
isi: 1
language:
- iso: eng
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'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 34th International Conference on Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031131844'
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '14539'
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: '12102'
abstract:
- lang: eng
text: 'Given a Markov chain M = (V, v_0, δ), with state space V and a starting state
v_0, and a probability threshold ε, an ε-core is a subset C of states that is
left with probability at most ε. More formally, C ⊆ V is an ε-core, iff ℙ[reach
(V\C)] ≤ ε. Cores have been applied in a wide variety of verification problems
over Markov chains, Markov decision processes, and probabilistic programs, as
a means of discarding uninteresting and low-probability parts of a probabilistic
system and instead being able to focus on the states that are likely to be encountered
in a real-world run. In this work, we focus on the problem of computing a minimal
ε-core in a Markov chain. Our contributions include both negative and positive
results: (i) We show that the decision problem on the existence of an ε-core of
a given size is NP-complete. This solves an open problem posed in [Jan Kretínský
and Tobias Meggendorfer, 2020]. We additionally show that the problem remains
NP-complete even when limited to acyclic Markov chains with bounded maximal vertex
degree; (ii) We provide a polynomial time algorithm for computing a minimal ε-core
on Markov chains over control-flow graphs of structured programs. A straightforward
combination of our algorithm with standard branch prediction techniques allows
one to apply the idea of cores to find a subset of program lines that are left
with low probability and then focus any desired static analysis on this core subset.'
acknowledgement: "The research was partially supported by the Hong Kong Research Grants
Council ECS\r\nProject No. 26208122, ERC CoG 863818 (FoRM-SMArt), the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 665385, HKUST– Kaisa Joint Research Institute Project Grant
HKJRI3A-055 and HKUST Startup Grant R9272. Ali Ahmadi and Roodabeh Safavi were interns
at HKUST."
article_number: '29'
article_processing_charge: No
author:
- first_name: Ali
full_name: Ahmadi, Ali
last_name: Ahmadi
- 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: Roodabeh
full_name: Safavi Hemami, Roodabeh
id: 72ed2640-8972-11ed-ae7b-f9c81ec75154
last_name: Safavi Hemami
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
D. Algorithms and hardness results for computing cores of Markov chains. 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.2022.29'
apa: 'Ahmadi, A., Chatterjee, K., Goharshady, A. K., Meggendorfer, T., Safavi Hemami,
R., & Zikelic, D. (2022). Algorithms and hardness results for computing cores
of Markov chains. 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.2022.29'
chicago: Ahmadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Tobias Meggendorfer,
Roodabeh Safavi Hemami, and Dorde Zikelic. “Algorithms and Hardness Results for
Computing Cores of Markov Chains.” 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.2022.29.
ieee: A. Ahmadi, K. Chatterjee, A. K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
and D. Zikelic, “Algorithms and hardness results for computing cores of Markov
chains,” in 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, Madras, India, 2022, vol. 250.
ista: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
D. 2022. Algorithms and hardness results for computing cores of Markov chains.
42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical
Computer Science. FSTTC: Foundations of Software Technology and Theoretical Computer
Science vol. 250, 29.'
mla: Ahmadi, Ali, et al. “Algorithms and Hardness Results for Computing Cores of
Markov Chains.” 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, vol. 250, 29, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2022, doi:10.4230/LIPIcs.FSTTCS.2022.29.
short: A. Ahmadi, K. Chatterjee, A.K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
D. Zikelic, 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
- _id: GradSch
doi: 10.4230/LIPIcs.FSTTCS.2022.29
ec_funded: 1
file:
- access_level: open_access
checksum: 6660c802489013f034c9e8bd57f4d46e
content_type: application/pdf
creator: dernst
date_created: 2023-01-20T10:39:44Z
date_updated: 2023-01-20T10:39:44Z
file_id: '12324'
file_name: 2022_LIPICs_Ahmadi.pdf
file_size: 872534
relation: main_file
success: 1
file_date_updated: 2023-01-20T10:39:44Z
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'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
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: Algorithms and hardness results for computing cores of Markov chains
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
year: '2022'
...
---
_id: '12170'
abstract:
- lang: eng
text: We present PET, a specialized and highly optimized framework for partial exploration
on probabilistic systems. Over the last decade, several significant advances in
the analysis of Markov decision processes employed partial exploration. In a nutshell,
this idea allows to focus computation on specific parts of the system, guided
by heuristics, while maintaining correctness. In particular, only relevant parts
of the system are constructed on demand, which in turn potentially allows to omit
constructing large parts of the system. Depending on the model, this leads to
dramatic speed-ups, in extreme cases even up to an arbitrary factor. PET unifies
several previous implementations and provides a flexible framework to easily implement
partial exploration for many further problems. Our experimental evaluation shows
significant improvements compared to the previous implementations while vastly
reducing the overhead required to add support for additional properties.
acknowledgement: We thank Pranav Ashok and Maximilian Weininger for their contributions
to spiritual predecessors of PET as well as motivating the initial development of
this tool.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
citation:
ama: 'Meggendorfer T. PET – A partial exploration tool for probabilistic verification.
In: 20th International Symposium on Automated Technology for Verification and
Analysis. Vol 13505. Springer Nature; 2022:320-326. doi:10.1007/978-3-031-19992-9_20'
apa: 'Meggendorfer, T. (2022). PET – A partial exploration tool for probabilistic
verification. In 20th International Symposium on Automated Technology for Verification
and Analysis (Vol. 13505, pp. 320–326). Virtual: Springer Nature. https://doi.org/10.1007/978-3-031-19992-9_20'
chicago: Meggendorfer, Tobias. “PET – A Partial Exploration Tool for Probabilistic
Verification.” In 20th International Symposium on Automated Technology for
Verification and Analysis, 13505:320–26. Springer Nature, 2022. https://doi.org/10.1007/978-3-031-19992-9_20.
ieee: T. Meggendorfer, “PET – A partial exploration tool for probabilistic verification,”
in 20th International Symposium on Automated Technology for Verification and
Analysis, Virtual, 2022, vol. 13505, pp. 320–326.
ista: 'Meggendorfer T. 2022. PET – A partial exploration tool for probabilistic
verification. 20th International Symposium on Automated Technology for Verification
and Analysis. ATVA: Automated Technology for Verification and Analysis, LNCS,
vol. 13505, 320–326.'
mla: Meggendorfer, Tobias. “PET – A Partial Exploration Tool for Probabilistic Verification.”
20th International Symposium on Automated Technology for Verification and Analysis,
vol. 13505, Springer Nature, 2022, pp. 320–26, doi:10.1007/978-3-031-19992-9_20.
short: T. Meggendorfer, in:, 20th International Symposium on Automated Technology
for Verification and Analysis, Springer Nature, 2022, pp. 320–326.
conference:
end_date: 2022-10-28
location: Virtual
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2022-10-25
date_created: 2023-01-12T12:11:07Z
date_published: 2022-10-21T00:00:00Z
date_updated: 2023-09-05T15:11:51Z
day: '21'
department:
- _id: KrCh
doi: 10.1007/978-3-031-19992-9_20
intvolume: ' 13505'
language:
- iso: eng
month: '10'
oa_version: None
page: 320-326
publication: 20th International Symposium on Automated Technology for Verification
and Analysis
publication_identifier:
eisbn:
- '9783031199929'
eissn:
- 1611-3349
isbn:
- '9783031199912'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: PET – A partial exploration tool for probabilistic verification
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 13505
year: '2022'
...
---
_id: '12568'
abstract:
- lang: eng
text: We treat the problem of risk-aware control for stochastic shortest path (SSP)
on Markov decision processes (MDP). Typically, expectation is considered for SSP,
which however is oblivious to the incurred risk. We present an alternative view,
instead optimizing conditional value-at-risk (CVaR), an established risk measure.
We treat both Markov chains as well as MDP and introduce, through novel insights,
two algorithms, based on linear programming and value iteration, respectively.
Both algorithms offer precise and provably correct solutions. Evaluation of our
prototype implementation shows that risk-aware control is feasible on several
moderately sized models.
article_processing_charge: No
arxiv: 1
author:
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
citation:
ama: 'Meggendorfer T. Risk-aware stochastic shortest path. In: Proceedings of
the 36th AAAI Conference on Artificial Intelligence, AAAI 2022. Vol 36. Association
for the Advancement of Artificial Intelligence; 2022:9858-9867. doi:10.1609/aaai.v36i9.21222'
apa: 'Meggendorfer, T. (2022). Risk-aware stochastic shortest path. In Proceedings
of the 36th AAAI Conference on Artificial Intelligence, AAAI 2022 (Vol. 36,
pp. 9858–9867). Virtual: Association for the Advancement of Artificial Intelligence.
https://doi.org/10.1609/aaai.v36i9.21222'
chicago: Meggendorfer, Tobias. “Risk-Aware Stochastic Shortest Path.” In Proceedings
of the 36th AAAI Conference on Artificial Intelligence, AAAI 2022, 36:9858–67.
Association for the Advancement of Artificial Intelligence, 2022. https://doi.org/10.1609/aaai.v36i9.21222.
ieee: T. Meggendorfer, “Risk-aware stochastic shortest path,” in Proceedings
of the 36th AAAI Conference on Artificial Intelligence, AAAI 2022, Virtual,
2022, vol. 36, no. 9, pp. 9858–9867.
ista: Meggendorfer T. 2022. Risk-aware stochastic shortest path. Proceedings of
the 36th AAAI Conference on Artificial Intelligence, AAAI 2022. Conference on
Artificial Intelligence vol. 36, 9858–9867.
mla: Meggendorfer, Tobias. “Risk-Aware Stochastic Shortest Path.” Proceedings
of the 36th AAAI Conference on Artificial Intelligence, AAAI 2022, vol. 36,
no. 9, Association for the Advancement of Artificial Intelligence, 2022, pp. 9858–67,
doi:10.1609/aaai.v36i9.21222.
short: T. Meggendorfer, in:, Proceedings of the 36th AAAI Conference on Artificial
Intelligence, AAAI 2022, Association for the Advancement of Artificial Intelligence,
2022, pp. 9858–9867.
conference:
end_date: 2022-03-01
location: Virtual
name: Conference on Artificial Intelligence
start_date: 2022-02-22
date_created: 2023-02-19T23:00:56Z
date_published: 2022-06-28T00:00:00Z
date_updated: 2023-02-20T07:19:12Z
day: '28'
department:
- _id: KrCh
doi: 10.1609/aaai.v36i9.21222
external_id:
arxiv:
- '2203.01640'
intvolume: ' 36'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2203.01640'
month: '06'
oa: 1
oa_version: Preprint
page: 9858-9867
publication: Proceedings of the 36th AAAI Conference on Artificial Intelligence, AAAI
2022
publication_identifier:
eissn:
- 2374-3468
isbn:
- '1577358767'
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: Risk-aware stochastic shortest path
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2022'
...
---
_id: '12775'
abstract:
- lang: eng
text: "We consider the problem of approximating the reachability probabilities in
Markov decision processes (MDP) with uncountable (continuous) state and action
spaces. While there are algorithms that, for special classes of such MDP, provide
a sequence of approximations converging to the true value in the limit, our aim
is to obtain an algorithm with guarantees on the precision of the approximation.\r\nAs
this problem is undecidable in general, assumptions on the MDP are necessary.
Our main contribution is to identify sufficient assumptions that are as weak as
possible, thus approaching the \"boundary\" of which systems can be correctly
and reliably analyzed. To this end, we also argue why each of our assumptions
is necessary for algorithms based on processing finitely many observations.\r\nWe
present two solution variants. The first one provides converging lower bounds
under weaker assumptions than typical ones from previous works concerned with
guarantees. The second one then utilizes stronger assumptions to additionally
provide converging upper bounds. Altogether, we obtain an anytime algorithm, i.e.
yielding a sequence of approximants with known and iteratively improving precision,
converging to the true value in the limit. Besides, due to the generality of our
assumptions, our algorithms are very general templates, readily allowing for various
heuristics from literature in contrast to, e.g., a specific discretization algorithm.
Our theoretical contribution thus paves the way for future practical improvements
without sacrificing correctness guarantees."
acknowledgement: "Kush Grover: The author has been supported by the DFG research training
group GRK\r\n2428 ConVeY.\r\nMaximilian Weininger: The author has been partially
supported by DFG projects 383882557\r\nStatistical Unbounded Verification (SUV)
and 427755713 Group-By Objectives in Probabilistic\r\nVerification (GOPro)"
alternative_title:
- LIPIcs
article_number: '11'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kush
full_name: Grover, Kush
last_name: Grover
- 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: Maimilian
full_name: Weininger, Maimilian
last_name: Weininger
citation:
ama: 'Grover K, Kretinsky J, Meggendorfer T, Weininger M. Anytime guarantees for
reachability in uncountable Markov decision processes. In: 33rd International
Conference on Concurrency Theory . Vol 243. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2022. doi:10.4230/LIPIcs.CONCUR.2022.11'
apa: 'Grover, K., Kretinsky, J., Meggendorfer, T., & Weininger, M. (2022). Anytime
guarantees for reachability in uncountable Markov decision processes. In 33rd
International Conference on Concurrency Theory (Vol. 243). Warsaw, Poland:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2022.11'
chicago: Grover, Kush, Jan Kretinsky, Tobias Meggendorfer, and Maimilian Weininger.
“Anytime Guarantees for Reachability in Uncountable Markov Decision Processes.”
In 33rd International Conference on Concurrency Theory , Vol. 243. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.CONCUR.2022.11.
ieee: K. Grover, J. Kretinsky, T. Meggendorfer, and M. Weininger, “Anytime guarantees
for reachability in uncountable Markov decision processes,” in 33rd International
Conference on Concurrency Theory , Warsaw, Poland, 2022, vol. 243.
ista: 'Grover K, Kretinsky J, Meggendorfer T, Weininger M. 2022. Anytime guarantees
for reachability in uncountable Markov decision processes. 33rd International
Conference on Concurrency Theory . CONCUR: Conference on Concurrency Theory, LIPIcs,
vol. 243, 11.'
mla: Grover, Kush, et al. “Anytime Guarantees for Reachability in Uncountable Markov
Decision Processes.” 33rd International Conference on Concurrency Theory ,
vol. 243, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:10.4230/LIPIcs.CONCUR.2022.11.
short: K. Grover, J. Kretinsky, T. Meggendorfer, M. Weininger, in:, 33rd International
Conference on Concurrency Theory , Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2022.
conference:
end_date: 2022-09-16
location: Warsaw, Poland
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2022-09-13
date_created: 2023-03-28T08:09:32Z
date_published: 2022-09-15T00:00:00Z
date_updated: 2023-09-26T10:43:30Z
day: '15'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2022.11
external_id:
arxiv:
- '2008.04824'
file:
- access_level: open_access
checksum: e282e43d3ae0ba6e067b72f4583e13c0
content_type: application/pdf
creator: dernst
date_created: 2023-09-26T10:43:15Z
date_updated: 2023-09-26T10:43:15Z
file_id: '14372'
file_name: 2022_LIPIcS_Grover.pdf
file_size: 960036
relation: main_file
success: 1
file_date_updated: 2023-09-26T10:43:15Z
has_accepted_license: '1'
intvolume: ' 243'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: '33rd International Conference on Concurrency Theory '
publication_identifier:
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anytime guarantees for reachability in uncountable Markov decision processes
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: 243
year: '2022'
...
---
_id: '13160'
abstract:
- lang: eng
text: "Transforming deterministic ω\r\n-automata into deterministic parity automata
is traditionally done using variants of appearance records. We present a more
efficient variant of this approach, tailored to Rabin automata, and several optimizations
applicable to all appearance records. We compare the methods experimentally and
find out that our method produces smaller automata than previous approaches. Moreover,
the experiments demonstrate the potential of our method for LTL synthesis, using
LTL-to-Rabin translators. It leads to significantly smaller parity automata when
compared to state-of-the-art approaches on complex formulae."
acknowledgement: This work is partially funded by the DFG project “Verified Model
Checkers” and by the Czech Science Foundation, grant No. P202/12/G061.
alternative_title:
- LNCS
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: 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
for transforming Rabin automata into parity automata. In: Tools and Algorithms
for the Construction and Analysis of Systems. Vol 10205. Springer; 2017:443-460.
doi:10.1007/978-3-662-54577-5_26'
apa: 'Kretinsky, J., Meggendorfer, T., Waldmann, C., & Weininger, M. (2017).
Index appearance record for transforming Rabin automata into parity automata.
In Tools and Algorithms for the Construction and Analysis of Systems (Vol.
10205, pp. 443–460). Uppsala, Sweden: Springer. https://doi.org/10.1007/978-3-662-54577-5_26'
chicago: Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger.
“Index Appearance Record for Transforming Rabin Automata into Parity Automata.”
In Tools and Algorithms for the Construction and Analysis of Systems, 10205:443–60.
Springer, 2017. https://doi.org/10.1007/978-3-662-54577-5_26.
ieee: J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance
record for transforming Rabin automata into parity automata,” in Tools and
Algorithms for the Construction and Analysis of Systems, Uppsala, Sweden,
2017, vol. 10205, pp. 443–460.
ista: 'Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2017. Index appearance
record for transforming Rabin automata into parity automata. Tools and Algorithms
for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for
the Construction and Analysis of Systems, LNCS, vol. 10205, 443–460.'
mla: Kretinsky, Jan, et al. “Index Appearance Record for Transforming Rabin Automata
into Parity Automata.” Tools and Algorithms for the Construction and Analysis
of Systems, vol. 10205, Springer, 2017, pp. 443–60, doi:10.1007/978-3-662-54577-5_26.
short: J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, in:, Tools and
Algorithms for the Construction and Analysis of Systems, Springer, 2017, pp. 443–460.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2017-04-22
date_created: 2023-06-21T13:21:14Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2023-06-21T13:29:46Z
day: '31'
department:
- _id: KrCh
doi: 10.1007/978-3-662-54577-5_26
external_id:
arxiv:
- '1701.05738'
intvolume: ' 10205'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1701.05738
month: '03'
oa: 1
oa_version: Preprint
page: 443-460
publication: Tools and Algorithms for the Construction and Analysis of Systems
publication_identifier:
eisbn:
- '9783662545775'
eissn:
- 1611-3349
isbn:
- '9783662545768'
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Index appearance record for transforming Rabin automata into parity automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10205
year: '2017'
...