---
_id: '2063'
abstract:
- lang: eng
text: We consider Markov decision processes (MDPs) which are a standard model for
probabilistic systems.We focus on qualitative properties forMDPs that can express
that desired behaviors of the system arise almost-surely (with probability 1)
or with positive probability. We introduce a new simulation relation to capture
the refinement relation ofMDPs with respect to qualitative properties, and present
discrete graph theoretic algorithms with quadratic complexity to compute the simulation
relation.We present an automated technique for assume-guarantee style reasoning
for compositional analysis ofMDPs with qualitative properties by giving a counterexample
guided abstraction-refinement approach to compute our new simulation relation.
We have implemented our algorithms and show that the compositional analysis leads
to significant improvements.
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
citation:
ama: 'Chatterjee K, Chmelik M, Daca P. CEGAR for qualitative analysis of probabilistic
systems. In: Vol 8559. Springer; 2014:473-490. doi:10.1007/978-3-319-08867-9_31'
apa: 'Chatterjee, K., Chmelik, M., & Daca, P. (2014). CEGAR for qualitative
analysis of probabilistic systems (Vol. 8559, pp. 473–490). Presented at the CAV:
Computer Aided Verification, Vienna, Austria: Springer. https://doi.org/10.1007/978-3-319-08867-9_31'
chicago: Chatterjee, Krishnendu, Martin Chmelik, and Przemyslaw Daca. “CEGAR for
Qualitative Analysis of Probabilistic Systems,” 8559:473–90. Springer, 2014. https://doi.org/10.1007/978-3-319-08867-9_31.
ieee: 'K. Chatterjee, M. Chmelik, and P. Daca, “CEGAR for qualitative analysis of
probabilistic systems,” presented at the CAV: Computer Aided Verification, Vienna,
Austria, 2014, vol. 8559, pp. 473–490.'
ista: 'Chatterjee K, Chmelik M, Daca P. 2014. CEGAR for qualitative analysis of
probabilistic systems. CAV: Computer Aided Verification, LNCS, vol. 8559, 473–490.'
mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic
Systems. Vol. 8559, Springer, 2014, pp. 473–90, doi:10.1007/978-3-319-08867-9_31.
short: K. Chatterjee, M. Chmelik, P. Daca, in:, Springer, 2014, pp. 473–490.
conference:
end_date: 2014-07-22
location: Vienna, Austria
name: 'CAV: Computer Aided Verification'
start_date: 2014-07-18
date_created: 2018-12-11T11:55:30Z
date_published: 2014-07-01T00:00:00Z
date_updated: 2023-09-07T11:58:33Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-08867-9_31
ec_funded: 1
intvolume: ' 8559'
language:
- iso: eng
month: '07'
oa_version: None
page: 473 - 490
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication_status: published
publisher: Springer
publist_id: '4978'
quality_controlled: '1'
related_material:
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relation: earlier_version
status: public
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status: public
- id: '1155'
relation: dissertation_contains
status: public
status: public
title: CEGAR for qualitative analysis of probabilistic systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8559
year: '2014'
...
---
_id: '1375'
abstract:
- lang: eng
text: 'We consider directed graphs where each edge is labeled with an integer weight
and study the fundamental algorithmic question of computing the value of a cycle
with minimum mean weight. Our contributions are twofold: (1) First we show that
the algorithmic question is reducible to the problem of a logarithmic number of
min-plus matrix multiplications of n×n-matrices, where n is the number of vertices
of the graph. (2) Second, when the weights are nonnegative, we present the first
(1+ε)-approximation algorithm for the problem and the running time of our algorithm
is Õ(nωlog3(nW/ε)/ε),1 where O(nω) is the time required for the classic n×n-matrix
multiplication and W is the maximum value of the weights. With an additional O(log(nW/ε))
factor in space a cycle with approximately optimal weight can be computed within
the same time bound.'
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Sebastian
full_name: Krinninger, Sebastian
last_name: Krinninger
- first_name: Veronika
full_name: Loitzenbauer, Veronika
last_name: Loitzenbauer
- first_name: Michael
full_name: Raskin, Michael
last_name: Raskin
citation:
ama: Chatterjee K, Henzinger MH, Krinninger S, Loitzenbauer V, Raskin M. Approximating
the minimum cycle mean. Theoretical Computer Science. 2014;547(C):104-116.
doi:10.1016/j.tcs.2014.06.031
apa: Chatterjee, K., Henzinger, M. H., Krinninger, S., Loitzenbauer, V., & Raskin,
M. (2014). Approximating the minimum cycle mean. Theoretical Computer Science.
Elsevier. https://doi.org/10.1016/j.tcs.2014.06.031
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Sebastian Krinninger, Veronika
Loitzenbauer, and Michael Raskin. “Approximating the Minimum Cycle Mean.” Theoretical
Computer Science. Elsevier, 2014. https://doi.org/10.1016/j.tcs.2014.06.031.
ieee: K. Chatterjee, M. H. Henzinger, S. Krinninger, V. Loitzenbauer, and M. Raskin,
“Approximating the minimum cycle mean,” Theoretical Computer Science, vol.
547, no. C. Elsevier, pp. 104–116, 2014.
ista: Chatterjee K, Henzinger MH, Krinninger S, Loitzenbauer V, Raskin M. 2014.
Approximating the minimum cycle mean. Theoretical Computer Science. 547(C), 104–116.
mla: Chatterjee, Krishnendu, et al. “Approximating the Minimum Cycle Mean.” Theoretical
Computer Science, vol. 547, no. C, Elsevier, 2014, pp. 104–16, doi:10.1016/j.tcs.2014.06.031.
short: K. Chatterjee, M.H. Henzinger, S. Krinninger, V. Loitzenbauer, M. Raskin,
Theoretical Computer Science 547 (2014) 104–116.
date_created: 2018-12-11T11:51:40Z
date_published: 2014-08-28T00:00:00Z
date_updated: 2022-09-09T11:50:58Z
day: '28'
department:
- _id: KrCh
doi: 10.1016/j.tcs.2014.06.031
ec_funded: 1
external_id:
arxiv:
- '1307.4473'
intvolume: ' 547'
issue: C
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.4473
month: '08'
oa: 1
oa_version: Preprint
page: 104 - 116
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Theoretical Computer Science
publication_status: published
publisher: Elsevier
publist_id: '5836'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Approximating the minimum cycle mean
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 547
year: '2014'
...
---
_id: '5412'
abstract:
- lang: eng
text: "We consider Markov decision processes (MDPs) which are a standard model for
probabilistic systems. We focus on qualitative properties for MDPs that can express
that desired behaviors of the system arise almost-surely (with probability 1)
or with positive probability.\r\nWe introduce a new simulation relation to capture
the refinement relation of MDPs with respect to qualitative properties, and present
discrete graph theoretic algorithms with quadratic complexity to compute the simulation
relation.\r\nWe present an automated technique for assume-guarantee style reasoning
for compositional analysis of MDPs with qualitative properties by giving a counter-example
guided abstraction-refinement approach to compute our new simulation relation.
We have implemented our algorithms and show that the compositional analysis leads
to significant improvements. "
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
citation:
ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v1-1
apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative
analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v1-1
chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for
Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v1-1.
ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis
of probabilistic systems. IST Austria, 2014.
ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic
systems, IST Austria, 31p.
mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v1-1.
short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic
Systems, IST Austria, 2014.
date_created: 2018-12-12T11:39:11Z
date_published: 2014-01-29T00:00:00Z
date_updated: 2023-02-23T12:25:18Z
day: '29'
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department:
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type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5413'
abstract:
- lang: eng
text: "We consider Markov decision processes (MDPs) which are a standard model for
probabilistic systems. We focus on qualitative properties for MDPs that can express
that desired behaviors of the system arise almost-surely (with probability 1)
or with positive probability.\r\nWe introduce a new simulation relation to capture
the refinement relation of MDPs with respect to qualitative properties, and present
discrete graph theoretic algorithms with quadratic complexity to compute the simulation
relation.\r\nWe present an automated technique for assume-guarantee style reasoning
for compositional analysis of MDPs with qualitative properties by giving a counter-example
guided abstraction-refinement approach to compute our new simulation relation.
We have implemented our algorithms and show that the compositional analysis leads
to significant improvements. "
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
citation:
ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v2-2
apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative
analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v2-2
chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for
Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v2-2.
ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis
of probabilistic systems. IST Austria, 2014.
ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic
systems, IST Austria, 33p.
mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v2-2.
short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic
Systems, IST Austria, 2014.
date_created: 2018-12-12T11:39:11Z
date_published: 2014-02-06T00:00:00Z
date_updated: 2023-02-23T12:25:18Z
day: '06'
ddc:
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department:
- _id: KrCh
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...
---
_id: '5414'
abstract:
- lang: eng
text: "We consider Markov decision processes (MDPs) which are a standard model for
probabilistic systems. We focus on qualitative properties for MDPs that can express
that desired behaviors of the system arise almost-surely (with probability 1)
or with positive probability.\r\nWe introduce a new simulation relation to capture
the refinement relation of MDPs with respect to qualitative properties, and present
discrete graph theoretic algorithms with quadratic complexity to compute the simulation
relation.\r\nWe present an automated technique for assume-guarantee style reasoning
for compositional analysis of MDPs with qualitative properties by giving a counter-example
guided abstraction-refinement approach to compute our new simulation relation.
\r\nWe have implemented our algorithms and show that the compositional analysis
leads to significant improvements. "
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
citation:
ama: Chatterjee K, Daca P, Chmelik M. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria; 2014. doi:10.15479/AT:IST-2014-153-v3-1
apa: Chatterjee, K., Daca, P., & Chmelik, M. (2014). CEGAR for qualitative
analysis of probabilistic systems. IST Austria. https://doi.org/10.15479/AT:IST-2014-153-v3-1
chicago: Chatterjee, Krishnendu, Przemyslaw Daca, and Martin Chmelik. CEGAR for
Qualitative Analysis of Probabilistic Systems. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-153-v3-1.
ieee: K. Chatterjee, P. Daca, and M. Chmelik, CEGAR for qualitative analysis
of probabilistic systems. IST Austria, 2014.
ista: Chatterjee K, Daca P, Chmelik M. 2014. CEGAR for qualitative analysis of probabilistic
systems, IST Austria, 33p.
mla: Chatterjee, Krishnendu, et al. CEGAR for Qualitative Analysis of Probabilistic
Systems. IST Austria, 2014, doi:10.15479/AT:IST-2014-153-v3-1.
short: K. Chatterjee, P. Daca, M. Chmelik, CEGAR for Qualitative Analysis of Probabilistic
Systems, IST Austria, 2014.
date_created: 2018-12-12T11:39:12Z
date_published: 2014-02-07T00:00:00Z
date_updated: 2023-02-23T12:25:15Z
day: '07'
ddc:
- '000'
department:
- _id: KrCh
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title: CEGAR for qualitative analysis of probabilistic systems
type: technical_report
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...
---
_id: '5415'
abstract:
- lang: eng
text: 'Recently there has been a significant effort to add quantitative properties
in formal verification and synthesis. While weighted automata over finite and
infinite words provide a natural and flexible framework to express quantitative
properties, perhaps surprisingly, several basic system properties such as average
response time cannot be expressed with weighted automata. In this work, we introduce
nested weighted automata as a new formalism for expressing important quantitative
properties such as average response time. We establish an almost complete decidability
picture for the basic decision problems for nested weighted automata, and illustrate
its applicability in several domains. '
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: Chatterjee K, Henzinger TA, Otop J. Nested Weighted Automata. IST Austria;
2014. doi:10.15479/AT:IST-2014-170-v1-1
apa: Chatterjee, K., Henzinger, T. A., & Otop, J. (2014). Nested weighted
automata. IST Austria. https://doi.org/10.15479/AT:IST-2014-170-v1-1
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. Nested Weighted
Automata. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-170-v1-1.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, Nested weighted automata.
IST Austria, 2014.
ista: Chatterjee K, Henzinger TA, Otop J. 2014. Nested weighted automata, IST Austria,
27p.
mla: Chatterjee, Krishnendu, et al. Nested Weighted Automata. IST Austria,
2014, doi:10.15479/AT:IST-2014-170-v1-1.
short: K. Chatterjee, T.A. Henzinger, J. Otop, Nested Weighted Automata, IST Austria,
2014.
date_created: 2018-12-12T11:39:12Z
date_published: 2014-02-19T00:00:00Z
date_updated: 2023-02-23T12:26:19Z
day: '19'
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- _id: KrCh
- _id: ToHe
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- id: '467'
relation: later_version
status: public
- id: '5436'
relation: later_version
status: public
status: public
title: Nested weighted automata
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5418'
abstract:
- lang: eng
text: We consider multi-player graph games with partial-observation and parity objective.
While the decision problem for three-player games with a coalition of the first
and second players against the third player is undecidable, we present a decidability
result for partial-observation games where the first and third player are in a
coalition against the second player, thus where the second player is adversarial
but weaker due to partial-observation. We establish tight complexity bounds in
the case where player 1 is less informed than player 2, namely 2-EXPTIME-completeness
for parity objectives. The symmetric case of player 1 more informed than player
2 is much more complicated, and we show that already in the case where player
1 has perfect observation, memory of size non-elementary is necessary in general
for reachability objectives, and the problem is decidable for safety and reachability
objectives. Our results have tight connections with partial-observation stochastic
games for which we derive new complexity results.
alternative_title:
- IST Austria Technical Report
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. Games with a Weak Adversary. IST Austria; 2014.
doi:10.15479/AT:IST-2014-176-v1-1
apa: Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary.
IST Austria. https://doi.org/10.15479/AT:IST-2014-176-v1-1
chicago: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary.
IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-176-v1-1.
ieee: K. Chatterjee and L. Doyen, Games with a weak adversary. IST Austria,
2014.
ista: Chatterjee K, Doyen L. 2014. Games with a weak adversary, IST Austria, 18p.
mla: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary.
IST Austria, 2014, doi:10.15479/AT:IST-2014-176-v1-1.
short: K. Chatterjee, L. Doyen, Games with a Weak Adversary, IST Austria, 2014.
date_created: 2018-12-12T11:39:13Z
date_published: 2014-03-22T00:00:00Z
date_updated: 2023-02-23T10:30:58Z
day: '22'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-176-v1-1
file:
- access_level: open_access
checksum: 1d6958aa60050e1c3e932c6e5f34c39f
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:07Z
date_updated: 2020-07-14T12:46:49Z
file_id: '5468'
file_name: IST-2014-176-v1+1_icalp_14.pdf
file_size: 328253
relation: main_file
file_date_updated: 2020-07-14T12:46:49Z
has_accepted_license: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: '18'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '176'
related_material:
record:
- id: '2163'
relation: later_version
status: public
status: public
title: Games with a weak adversary
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5419'
abstract:
- lang: eng
text: "We consider the reachability and shortest path problems on low tree-width
graphs, with n nodes, m edges, and tree-width t, on a standard RAM with wordsize
W. We use O to hide polynomial factors of the inverse of the Ackermann function.
Our main contributions are three fold:\r\n1. For reachability, we present an algorithm
that requires O(n·t2·log(n/t)) preprocessing time, O(n·(t·log(n/t))/W) space,
and O(t/W) time for pair queries and O((n·t)/W) time for single-source queries.
Note that for constant t our algorithm uses O(n·logn) time for preprocessing;
and O(n/W) time for single-source queries, which is faster than depth first search/breath
first search (after the preprocessing).\r\n2. We present an algorithm for shortest
path that requires O(n·t2) preprocessing time, O(n·t) space, and O(t2) time for
pair queries and O(n·t) time single-source queries.\r\n3. We give a space versus
query time trade-off algorithm for shortest path that, given any constant >0,
requires O(n·t2) preprocessing time, O(n·t2) space, and O(n1−·t2) time for pair
queries.\r\nOur algorithms improve all existing results, and use very simple data
structures."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Improved Algorithms for Reachability
and Shortest Path on Low Tree-Width Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-187-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2014). Improved
algorithms for reachability and shortest path on low tree-width graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2014-187-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs.
IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-187-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Improved algorithms
for reachability and shortest path on low tree-width graphs. IST Austria,
2014.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Improved algorithms for
reachability and shortest path on low tree-width graphs, IST Austria, 34p.
mla: Chatterjee, Krishnendu, et al. Improved Algorithms for Reachability and
Shortest Path on Low Tree-Width Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-187-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Improved Algorithms for
Reachability and Shortest Path on Low Tree-Width Graphs, IST Austria, 2014.
date_created: 2018-12-12T11:39:13Z
date_published: 2014-04-14T00:00:00Z
date_updated: 2021-01-12T08:02:03Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-187-v1-1
file:
- access_level: open_access
checksum: c608e66030a4bf51d2d99b451f539b99
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:25Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5548'
file_name: IST-2014-187-v1+1_main_full_tech.pdf
file_size: 670031
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '34'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '187'
status: public
title: Improved algorithms for reachability and shortest path on low tree-width graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5420'
abstract:
- lang: eng
text: 'We consider concurrent mean-payoff games, a very well-studied class of two-player
(player 1 vs player 2) zero-sum games on finite-state graphs where every transition
is assigned a reward between 0 and 1, and the payoff function is the long-run
average of the rewards. The value is the maximal expected payoff that player 1
can guarantee against all strategies of player 2. We consider the computation
of the set of states with value 1 under finite-memory strategies for player 1,
and our main results for the problem are as follows: (1) we present a polynomial-time
algorithm; (2) we show that whenever there is a finite-memory strategy, there
is a stationary strategy that does not need memory at all; and (3) we present
an optimal bound (which is double exponential) on the patience of stationary strategies
(where patience of a distribution is the inverse of the smallest positive probability
and represents a complexity measure of a stationary strategy).'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: Chatterjee K, Ibsen-Jensen R. The Value 1 Problem for Concurrent Mean-Payoff
Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-191-v1-1
apa: Chatterjee, K., & Ibsen-Jensen, R. (2014). The value 1 problem for concurrent
mean-payoff games. IST Austria. https://doi.org/10.15479/AT:IST-2014-191-v1-1
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem
for Concurrent Mean-Payoff Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-191-v1-1.
ieee: K. Chatterjee and R. Ibsen-Jensen, The value 1 problem for concurrent mean-payoff
games. IST Austria, 2014.
ista: Chatterjee K, Ibsen-Jensen R. 2014. The value 1 problem for concurrent mean-payoff
games, IST Austria, 49p.
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem for
Concurrent Mean-Payoff Games. IST Austria, 2014, doi:10.15479/AT:IST-2014-191-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, The Value 1 Problem for Concurrent Mean-Payoff
Games, IST Austria, 2014.
date_created: 2018-12-12T11:39:14Z
date_published: 2014-04-14T00:00:00Z
date_updated: 2021-01-12T08:02:05Z
day: '14'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-191-v1-1
file:
- access_level: open_access
checksum: 49e0fd3e62650346daf7dc04604f7a0a
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:58Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5520'
file_name: IST-2014-191-v1+1_main_full.pdf
file_size: 584368
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '49'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '191'
status: public
title: The value 1 problem for concurrent mean-payoff games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5421'
abstract:
- lang: eng
text: 'Evolution occurs in populations of reproducing individuals. The structure
of the population affects the outcome of the evolutionary process. Evolutionary
graph theory is a powerful approach to study this phenomenon. There are two graphs.
The interaction graph specifies who interacts with whom in the context of evolution.
The replacement graph specifies who competes with whom for reproduction. The vertices
of the two graphs are the same, and each vertex corresponds to an individual.
A key quantity is the fixation probability of a new mutant. It is defined as the
probability that a newly introduced mutant (on a single vertex) generates a lineage
of offspring which eventually takes over the entire population of resident individuals.
The basic computational questions are as follows: (i) the qualitative question
asks whether the fixation probability is positive; and (ii) the quantitative approximation
question asks for an approximation of the fixation probability. Our main results
are: (1) We show that the qualitative question is NP-complete and the quantitative
approximation question is #P-hard in the special case when the interaction and
the replacement graphs coincide and even with the restriction that the resident
individuals do not reproduce (which corresponds to an invading population taking
over an empty structure). (2) We show that in general the qualitative question
is PSPACE-complete and the quantitative approximation question is PSPACE-hard
and can be solved in exponential time.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Chatterjee K, Ibsen-Jensen R, Nowak M. The Complexity of Evolution on Graphs.
IST Austria; 2014. doi:10.15479/AT:IST-2014-190-v2-2
apa: Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2014). The complexity
of evolution on graphs. IST Austria. https://doi.org/10.15479/AT:IST-2014-190-v2-2
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. The Complexity
of Evolution on Graphs. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-190-v2-2.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, The complexity of evolution
on graphs. IST Austria, 2014.
ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2014. The complexity of evolution on
graphs, IST Austria, 27p.
mla: Chatterjee, Krishnendu, et al. The Complexity of Evolution on Graphs.
IST Austria, 2014, doi:10.15479/AT:IST-2014-190-v2-2.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolution on
Graphs, IST Austria, 2014.
date_created: 2018-12-12T11:39:14Z
date_published: 2014-04-18T00:00:00Z
date_updated: 2023-02-23T12:26:33Z
day: '18'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-190-v2-2
file:
- access_level: open_access
checksum: 42f3d8b563286eb0d903832bd9a848d3
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:16Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5538'
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file_size: 443529
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checksum: 0c9a2fd822309719634495a35957e34d
content_type: application/pdf
creator: kschuh
date_created: 2019-09-06T07:30:20Z
date_updated: 2020-07-14T12:46:50Z
file_id: '6852'
file_name: IST-2014-190-v1+1_main_full.pdf
file_size: 440911
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '27'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '190'
related_material:
record:
- id: '5432'
relation: later_version
status: public
- id: '5440'
relation: later_version
status: public
status: public
title: The complexity of evolution on graphs
type: technical_report
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5423'
abstract:
- lang: eng
text: 'We present a flexible framework for the automated competitive analysis of
on-line scheduling algorithms for firm- deadline real-time tasks based on multi-objective
graphs: Given a taskset and an on-line scheduling algorithm specified as a labeled
transition system, along with some optional safety, liveness, and/or limit-average
constraints for the adversary, we automatically compute the competitive ratio
of the algorithm w.r.t. a clairvoyant scheduler. We demonstrate the flexibility
and power of our approach by comparing the competitive ratio of several on-line
algorithms, including D(over), that have been proposed in the past, for various
tasksets. Our experimental results reveal that none of these algorithms is universally
optimal, in the sense that there are tasksets where other schedulers provide better
performance. Our framework is hence a very useful design tool for selecting optimal
algorithms for a given application. '
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Alexander
full_name: Kössler, Alexander
last_name: Kössler
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
citation:
ama: Chatterjee K, Kössler A, Pavlogiannis A, Schmid U. A Framework for Automated
Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks. IST Austria;
2014. doi:10.15479/AT:IST-2014-300-v1-1
apa: Chatterjee, K., Kössler, A., Pavlogiannis, A., & Schmid, U. (2014). A
framework for automated competitive analysis of on-line scheduling of firm-deadline
tasks. IST Austria. https://doi.org/10.15479/AT:IST-2014-300-v1-1
chicago: Chatterjee, Krishnendu, Alexander Kössler, Andreas Pavlogiannis, and Ulrich
Schmid. A Framework for Automated Competitive Analysis of On-Line Scheduling
of Firm-Deadline Tasks. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-300-v1-1.
ieee: K. Chatterjee, A. Kössler, A. Pavlogiannis, and U. Schmid, A framework
for automated competitive analysis of on-line scheduling of firm-deadline tasks.
IST Austria, 2014.
ista: Chatterjee K, Kössler A, Pavlogiannis A, Schmid U. 2014. A framework for automated
competitive analysis of on-line scheduling of firm-deadline tasks, IST Austria,
14p.
mla: Chatterjee, Krishnendu, et al. A Framework for Automated Competitive Analysis
of On-Line Scheduling of Firm-Deadline Tasks. IST Austria, 2014, doi:10.15479/AT:IST-2014-300-v1-1.
short: K. Chatterjee, A. Kössler, A. Pavlogiannis, U. Schmid, A Framework for Automated
Competitive Analysis of On-Line Scheduling of Firm-Deadline Tasks, IST Austria,
2014.
date_created: 2018-12-12T11:39:15Z
date_published: 2014-07-29T00:00:00Z
date_updated: 2023-02-23T10:11:15Z
day: '29'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-300-v1-1
file:
- access_level: open_access
checksum: 4b8fde4d9ef6653837f6803921d83032
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:53Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5514'
file_name: IST-2014-300-v1+1_main.pdf
file_size: 1270021
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '14'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '300'
related_material:
record:
- id: '1714'
relation: later_version
status: public
status: public
title: A framework for automated competitive analysis of on-line scheduling of firm-deadline
tasks
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5424'
abstract:
- lang: eng
text: We consider partially observable Markov decision processes (POMDPs), that
are a standard framework for robotics applications to model uncertainties present
in the real world, with temporal logic specifications. All temporal logic specifications
in linear-time temporal logic (LTL) can be expressed as parity objectives. We
study the qualitative analysis problem for POMDPs with parity objectives that
asks whether there is a controller (policy) to ensure that the objective holds
with probability 1 (almost-surely). While the qualitative analysis of POMDPs with
parity objectives is undecidable, recent results show that when restricted to
finite-memory policies the problem is EXPTIME-complete. While the problem is intractable
in theory, we present a practical approach to solve the qualitative analysis problem.
We designed several heuristics to deal with the exponential complexity, and have
used our implementation on a number of well-known POMDP examples for robotics
applications. Our results provide the first practical approach to solve the qualitative
analysis of robot motion planning with LTL properties in the presence of uncertainty.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Raghav
full_name: Gupta, Raghav
last_name: Gupta
- first_name: Ayush
full_name: Kanodia, Ayush
last_name: Kanodia
citation:
ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs
with Temporal Logic Specifications for Robotics Applications. IST Austria;
2014. doi:10.15479/AT:IST-2014-305-v1-1
apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative
analysis of POMDPs with temporal logic specifications for robotics applications.
IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v1-1
chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia.
Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics
Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v1-1.
ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis
of POMDPs with temporal logic specifications for robotics applications. IST
Austria, 2014.
ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of
POMDPs with temporal logic specifications for robotics applications, IST Austria,
12p.
mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal
Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v1-1.
short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of
POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria,
2014.
date_created: 2018-12-12T11:39:15Z
date_published: 2014-09-09T00:00:00Z
date_updated: 2023-02-23T12:25:52Z
day: '09'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-305-v1-1
file:
- access_level: open_access
checksum: 35009d5fad01198341e6c1a3353481b7
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:51Z
date_updated: 2020-07-14T12:46:51Z
file_id: '5512'
file_name: IST-2014-305-v1+1_main.pdf
file_size: 655774
relation: main_file
file_date_updated: 2020-07-14T12:46:51Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '12'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '305'
related_material:
record:
- id: '1732'
relation: later_version
status: public
- id: '5426'
relation: later_version
status: public
status: public
title: Qualitative analysis of POMDPs with temporal logic specifications for robotics
applications
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5426'
abstract:
- lang: eng
text: We consider partially observable Markov decision processes (POMDPs), that
are a standard framework for robotics applications to model uncertainties present
in the real world, with temporal logic specifications. All temporal logic specifications
in linear-time temporal logic (LTL) can be expressed as parity objectives. We
study the qualitative analysis problem for POMDPs with parity objectives that
asks whether there is a controller (policy) to ensure that the objective holds
with probability 1 (almost-surely). While the qualitative analysis of POMDPs with
parity objectives is undecidable, recent results show that when restricted to
finite-memory policies the problem is EXPTIME-complete. While the problem is intractable
in theory, we present a practical approach to solve the qualitative analysis problem.
We designed several heuristics to deal with the exponential complexity, and have
used our implementation on a number of well-known POMDP examples for robotics
applications. Our results provide the first practical approach to solve the qualitative
analysis of robot motion planning with LTL properties in the presence of uncertainty.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Raghav
full_name: Gupta, Raghav
last_name: Gupta
- first_name: Ayush
full_name: Kanodia, Ayush
last_name: Kanodia
citation:
ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs
with Temporal Logic Specifications for Robotics Applications. IST Austria;
2014. doi:10.15479/AT:IST-2014-305-v2-1
apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative
analysis of POMDPs with temporal logic specifications for robotics applications.
IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v2-1
chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia.
Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics
Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v2-1.
ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis
of POMDPs with temporal logic specifications for robotics applications. IST
Austria, 2014.
ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of
POMDPs with temporal logic specifications for robotics applications, IST Austria,
10p.
mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal
Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v2-1.
short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of
POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria,
2014.
date_created: 2018-12-12T11:39:16Z
date_published: 2014-09-29T00:00:00Z
date_updated: 2023-02-23T12:25:47Z
day: '29'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-305-v2-1
file:
- access_level: open_access
checksum: 730c0a8e97cf2712a884b2cc423f3919
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:15Z
date_updated: 2020-07-14T12:46:51Z
file_id: '5537'
file_name: IST-2014-305-v2+1_main2.pdf
file_size: 656019
relation: main_file
file_date_updated: 2020-07-14T12:46:51Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '10'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '311'
related_material:
record:
- id: '1732'
relation: later_version
status: public
- id: '5424'
relation: earlier_version
status: public
status: public
title: Qualitative analysis of POMDPs with temporal logic specifications for robotics
applications
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5427'
abstract:
- lang: eng
text: 'We consider graphs with n nodes together with their tree-decomposition that
has b = O ( n ) bags and width t , on the standard RAM computational model with
wordsize W = Θ (log n ) . Our contributions are two-fold: Our first contribution
is an algorithm that given a graph and its tree-decomposition as input, computes
a binary and balanced tree-decomposition of width at most 4 · t + 3 of the graph
in O ( b ) time and space, improving a long-standing (from 1992) bound of O (
n · log n ) time for constant treewidth graphs. Our second contribution is on
reachability queries for low treewidth graphs. We build on our tree-balancing
algorithm and present a data-structure for graph reachability that requires O
( n · t 2 ) preprocessing time, O ( n · t ) space, and O ( d t/ log n e ) time
for pair queries, and O ( n · t · log t/ log n ) time for single-source queries.
For constant t our data-structure uses O ( n ) time for preprocessing, O (1) time
for pair queries, and O ( n/ log n ) time for single-source queries. This is (asymptotically)
optimal and is faster than DFS/BFS when answering more than a constant number
of single-source queries.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Optimal Tree-Decomposition
Balancing and Reachability on Low Treewidth Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-314-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2014). Optimal
tree-decomposition balancing and reachability on low treewidth graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2014-314-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Optimal Tree-Decomposition Balancing and Reachability on Low Treewidth Graphs.
IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-314-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Optimal tree-decomposition
balancing and reachability on low treewidth graphs. IST Austria, 2014.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Optimal tree-decomposition
balancing and reachability on low treewidth graphs, IST Austria, 24p.
mla: Chatterjee, Krishnendu, et al. Optimal Tree-Decomposition Balancing and
Reachability on Low Treewidth Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-314-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Optimal Tree-Decomposition
Balancing and Reachability on Low Treewidth Graphs, IST Austria, 2014.
date_created: 2018-12-12T11:39:16Z
date_published: 2014-11-05T00:00:00Z
date_updated: 2021-01-12T08:02:09Z
day: '05'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-314-v1-1
file:
- access_level: open_access
checksum: 9d3b90bf4fff74664f182f2d95ef727a
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:10Z
date_updated: 2020-07-14T12:46:52Z
file_id: '5471'
file_name: IST-2014-314-v1+1_long.pdf
file_size: 405561
relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '24'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '314'
status: public
title: Optimal tree-decomposition balancing and reachability on low treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5428'
abstract:
- lang: eng
text: "Simulation is an attractive alternative for language inclusion for automata
as it is an under-approximation of language inclusion, but usually has much lower
complexity. For non-deterministic automata, while language inclusion is PSPACE-complete,
simulation can be computed in polynomial time. Simulation has also been extended
in two orthogonal directions, namely, (1) fair simulation, for simulation over
specified set of infinite runs; and (2) quantitative simulation, for simulation
between weighted automata. Again, while fair trace inclusion is PSPACE-complete,
fair simulation can be computed in polynomial time. For weighted automata, the
(quantitative) language inclusion problem is undecidable for mean-payoff automata
and the decidability is open for discounted-sum automata, whereas the (quantitative)
simulation reduce to mean-payoff games and discounted-sum games, which admit pseudo-polynomial
time algorithms.\r\n\r\nIn this work, we study (quantitative) simulation for weighted
automata with Büchi acceptance conditions, i.e., we generalize fair simulation
from non-weighted automata to weighted automata. We show that imposing Büchi acceptance
conditions on weighted automata changes many fundamental properties of the simulation
games. For example, whereas for mean-payoff and discounted-sum games, the players
do not need memory to play optimally; we show in contrast that for simulation
games with Büchi acceptance conditions, (i) for mean-payoff objectives, optimal
strategies for both players require infinite memory in general, and (ii) for discounted-sum
objectives, optimal strategies need not exist for both players. While the simulation
games with Büchi acceptance conditions are more complicated (e.g., due to infinite-memory
requirements for mean-payoff objectives) as compared to their counterpart without
Büchi acceptance conditions, we still present pseudo-polynomial time algorithms
to solve simulation games with Büchi acceptance conditions for both weighted mean-payoff
and weighted discounted-sum automata."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
- first_name: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: Chatterjee K, Henzinger TA, Otop J, Velner Y. Quantitative Fair Simulation
Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-315-v1-1
apa: Chatterjee, K., Henzinger, T. A., Otop, J., & Velner, Y. (2014). Quantitative
fair simulation games. IST Austria. https://doi.org/10.15479/AT:IST-2014-315-v1-1
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Yaron Velner.
Quantitative Fair Simulation Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-315-v1-1.
ieee: K. Chatterjee, T. A. Henzinger, J. Otop, and Y. Velner, Quantitative fair
simulation games. IST Austria, 2014.
ista: Chatterjee K, Henzinger TA, Otop J, Velner Y. 2014. Quantitative fair simulation
games, IST Austria, 26p.
mla: Chatterjee, Krishnendu, et al. Quantitative Fair Simulation Games. IST
Austria, 2014, doi:10.15479/AT:IST-2014-315-v1-1.
short: K. Chatterjee, T.A. Henzinger, J. Otop, Y. Velner, Quantitative Fair Simulation
Games, IST Austria, 2014.
date_created: 2018-12-12T11:39:16Z
date_published: 2014-12-05T00:00:00Z
date_updated: 2023-09-20T12:07:48Z
day: '05'
ddc:
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.15479/AT:IST-2014-315-v1-1
file:
- access_level: open_access
checksum: b1d573bc04365625ff9974880c0aa807
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:59Z
date_updated: 2020-07-14T12:46:52Z
file_id: '5521'
file_name: IST-2014-315-v1+1_report.pdf
file_size: 531046
relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '26'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '315'
related_material:
record:
- id: '1066'
relation: later_version
status: public
status: public
title: Quantitative fair simulation games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '9739'
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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Ben
full_name: Adlam, Ben
last_name: Adlam
- first_name: Martin
full_name: Novak, Martin
last_name: Novak
citation:
ama: Chatterjee K, Pavlogiannis A, Adlam B, Novak M. Detailed proofs for “The time
scale of evolutionary innovation.” 2014. doi:10.1371/journal.pcbi.1003818.s001
apa: Chatterjee, K., Pavlogiannis, A., Adlam, B., & Novak, M. (2014). Detailed
proofs for “The time scale of evolutionary innovation.” Public Library of Science.
https://doi.org/10.1371/journal.pcbi.1003818.s001
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Ben Adlam, and Martin Novak.
“Detailed Proofs for ‘The Time Scale of Evolutionary Innovation.’” Public Library
of Science, 2014. https://doi.org/10.1371/journal.pcbi.1003818.s001.
ieee: K. Chatterjee, A. Pavlogiannis, B. Adlam, and M. Novak, “Detailed proofs for
‘The time scale of evolutionary innovation.’” Public Library of Science, 2014.
ista: Chatterjee K, Pavlogiannis A, Adlam B, Novak M. 2014. Detailed proofs for
“The time scale of evolutionary innovation”, Public Library of Science, 10.1371/journal.pcbi.1003818.s001.
mla: Chatterjee, Krishnendu, et al. Detailed Proofs for “The Time Scale of Evolutionary
Innovation.” Public Library of Science, 2014, doi:10.1371/journal.pcbi.1003818.s001.
short: K. Chatterjee, A. Pavlogiannis, B. Adlam, M. Novak, (2014).
date_created: 2021-07-28T08:13:57Z
date_published: 2014-09-11T00:00:00Z
date_updated: 2023-02-23T10:25:37Z
day: '11'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1003818.s001
month: '09'
oa_version: Published Version
publisher: Public Library of Science
related_material:
record:
- id: '2039'
relation: used_in_publication
status: public
status: public
title: Detailed proofs for “The time scale of evolutionary innovation”
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2014'
...
---
_id: '10884'
abstract:
- lang: eng
text: "We revisit the parameterized model checking problem for token-passing systems
and specifications in indexed CTL ∗ \\X. Emerson and Namjoshi (1995, 2003) have
shown that parameterized model checking of indexed CTL ∗ \\X in uni-directional
token rings can be reduced to checking rings up to some cutoff size. Clarke et
al. (2004) have shown a similar result for general topologies and indexed LTL
\\X, provided processes cannot choose the directions for sending or receiving
the token.\r\nWe unify and substantially extend these results by systematically
exploring fragments of indexed CTL ∗ \\X with respect to general topologies.
For each fragment we establish whether a cutoff exists, and for some concrete
topologies, such as rings, cliques and stars, we infer small cutoffs. Finally,
we show that the problem becomes undecidable, and thus no cutoffs exist, if processes
are allowed to choose the directions in which they send or from which they receive
the token."
acknowledgement: "This work was supported by the Austrian Science Fund through grant
P23499-N23\r\nand through the RiSE network (S11403, S11405, S11406, S11407-N23);
ERC Starting Grant (279307: Graph Games); Vienna Science and Technology Fund (WWTF)\r\ngrants
PROSEED, ICT12-059, and VRG11-005."
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Benjamin
full_name: Aminof, Benjamin
id: 4A55BD00-F248-11E8-B48F-1D18A9856A87
last_name: Aminof
- first_name: Swen
full_name: Jacobs, Swen
last_name: Jacobs
- first_name: Ayrat
full_name: Khalimov, Ayrat
last_name: Khalimov
- first_name: Sasha
full_name: Rubin, Sasha
id: 2EC51194-F248-11E8-B48F-1D18A9856A87
last_name: Rubin
citation:
ama: 'Aminof B, Jacobs S, Khalimov A, Rubin S. Parameterized model checking of token-passing
systems. In: Verification, Model Checking, and Abstract Interpretation.
Vol 8318. Springer Nature; 2014:262-281. doi:10.1007/978-3-642-54013-4_15'
apa: 'Aminof, B., Jacobs, S., Khalimov, A., & Rubin, S. (2014). Parameterized
model checking of token-passing systems. In Verification, Model Checking, and
Abstract Interpretation (Vol. 8318, pp. 262–281). San Diego, CA, United States:
Springer Nature. https://doi.org/10.1007/978-3-642-54013-4_15'
chicago: Aminof, Benjamin, Swen Jacobs, Ayrat Khalimov, and Sasha Rubin. “Parameterized
Model Checking of Token-Passing Systems.” In Verification, Model Checking,
and Abstract Interpretation, 8318:262–81. Springer Nature, 2014. https://doi.org/10.1007/978-3-642-54013-4_15.
ieee: B. Aminof, S. Jacobs, A. Khalimov, and S. Rubin, “Parameterized model checking
of token-passing systems,” in Verification, Model Checking, and Abstract Interpretation,
San Diego, CA, United States, 2014, vol. 8318, pp. 262–281.
ista: 'Aminof B, Jacobs S, Khalimov A, Rubin S. 2014. Parameterized model checking
of token-passing systems. Verification, Model Checking, and Abstract Interpretation.
VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 8318,
262–281.'
mla: Aminof, Benjamin, et al. “Parameterized Model Checking of Token-Passing Systems.”
Verification, Model Checking, and Abstract Interpretation, vol. 8318, Springer
Nature, 2014, pp. 262–81, doi:10.1007/978-3-642-54013-4_15.
short: B. Aminof, S. Jacobs, A. Khalimov, S. Rubin, in:, Verification, Model Checking,
and Abstract Interpretation, Springer Nature, 2014, pp. 262–281.
conference:
end_date: 2014-01-21
location: San Diego, CA, United States
name: 'VMCAI: Verifcation, Model Checking, and Abstract Interpretation'
start_date: 2014-01-19
date_created: 2022-03-18T13:01:22Z
date_published: 2014-01-30T00:00:00Z
date_updated: 2022-05-17T08:36:01Z
day: '30'
department:
- _id: KrCh
doi: 10.1007/978-3-642-54013-4_15
ec_funded: 1
external_id:
arxiv:
- '1311.4425'
intvolume: ' 8318'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.1311.4425'
month: '01'
oa: 1
oa_version: Preprint
page: 262-281
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Verification, Model Checking, and Abstract Interpretation
publication_identifier:
eisbn:
- '9783642540134'
eissn:
- 1611-3349
isbn:
- '9783642540127'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Parameterized model checking of token-passing systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8318
year: '2014'
...
---
_id: '10885'
abstract:
- lang: eng
text: "Two-player games on graphs provide the theoretical framework for many important
problems such as reactive synthesis. While the traditional study of two-player
zero-sum games has been extended to multi-player games with several notions of
equilibria, they are decidable only for perfect-information games, whereas several
applications require imperfect-information games.\r\nIn this paper we propose
a new notion of equilibria, called doomsday equilibria, which is a strategy profile
such that all players satisfy their own objective, and if any coalition of players
deviates and violates even one of the players objective, then the objective of
every player is violated.\r\nWe present algorithms and complexity results for
deciding the existence of doomsday equilibria for various classes of ω-regular
objectives, both for imperfect-information games, and for perfect-information
games.We provide optimal complexity bounds for imperfect-information games, and
in most cases for perfect-information games."
acknowledgement: " Supported by Austrian Science Fund (FWF) Grant No P23499-N23, FWF
NFN Grant No\r\nS11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft
faculty fellows award."
alternative_title:
- LNCS
article_processing_charge: No
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
- first_name: Emmanuel
full_name: Filiot, Emmanuel
last_name: Filiot
- first_name: Jean-François
full_name: Raskin, Jean-François
last_name: Raskin
citation:
ama: 'Chatterjee K, Doyen L, Filiot E, Raskin J-F. Doomsday equilibria for omega-regular
games. In: VMCAI 2014: Verification, Model Checking, and Abstract Interpretation.
Vol 8318. Springer Nature; 2014:78-97. doi:10.1007/978-3-642-54013-4_5'
apa: 'Chatterjee, K., Doyen, L., Filiot, E., & Raskin, J.-F. (2014). Doomsday
equilibria for omega-regular games. In VMCAI 2014: Verification, Model Checking,
and Abstract Interpretation (Vol. 8318, pp. 78–97). San Diego, CA, United
States: Springer Nature. https://doi.org/10.1007/978-3-642-54013-4_5'
chicago: 'Chatterjee, Krishnendu, Laurent Doyen, Emmanuel Filiot, and Jean-François
Raskin. “Doomsday Equilibria for Omega-Regular Games.” In VMCAI 2014: Verification,
Model Checking, and Abstract Interpretation, 8318:78–97. Springer Nature,
2014. https://doi.org/10.1007/978-3-642-54013-4_5.'
ieee: 'K. Chatterjee, L. Doyen, E. Filiot, and J.-F. Raskin, “Doomsday equilibria
for omega-regular games,” in VMCAI 2014: Verification, Model Checking, and
Abstract Interpretation, San Diego, CA, United States, 2014, vol. 8318, pp.
78–97.'
ista: 'Chatterjee K, Doyen L, Filiot E, Raskin J-F. 2014. Doomsday equilibria for
omega-regular games. VMCAI 2014: Verification, Model Checking, and Abstract Interpretation.
VMCAI: Verifcation, Model Checking, and Abstract Interpretation, LNCS, vol. 8318,
78–97.'
mla: 'Chatterjee, Krishnendu, et al. “Doomsday Equilibria for Omega-Regular Games.”
VMCAI 2014: Verification, Model Checking, and Abstract Interpretation,
vol. 8318, Springer Nature, 2014, pp. 78–97, doi:10.1007/978-3-642-54013-4_5.'
short: 'K. Chatterjee, L. Doyen, E. Filiot, J.-F. Raskin, in:, VMCAI 2014: Verification,
Model Checking, and Abstract Interpretation, Springer Nature, 2014, pp. 78–97.'
conference:
end_date: 2014-01-21
location: San Diego, CA, United States
name: 'VMCAI: Verifcation, Model Checking, and Abstract Interpretation'
start_date: 2014-01-19
date_created: 2022-03-18T13:03:15Z
date_published: 2014-01-30T00:00:00Z
date_updated: 2023-02-23T12:52:24Z
day: '30'
department:
- _id: KrCh
doi: 10.1007/978-3-642-54013-4_5
ec_funded: 1
external_id:
arxiv:
- '1311.3238'
intvolume: ' 8318'
language:
- iso: eng
month: '01'
oa_version: Preprint
page: 78-97
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: 'VMCAI 2014: Verification, Model Checking, and Abstract Interpretation'
publication_identifier:
eisbn:
- '9783642540134'
eissn:
- 1611-3349
isbn:
- '9783642540127'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '681'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Doomsday equilibria for omega-regular games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8318
year: '2014'
...
---
_id: '2141'
abstract:
- lang: eng
text: The computation of the winning set for Büchi objectives in alternating games
on graphs is a central problem in computer-aided verification with a large number
of applications. The long-standing best known upper bound for solving the problem
is Õ(n ⋅ m), where n is the number of vertices and m is the number of edges in
the graph. We are the first to break the Õ(n ⋅ m) boundary by presenting a new
technique that reduces the running time to O(n2). This bound also leads to O(n2)-time
algorithms for computing the set of almost-sure winning vertices for Büchi objectives
(1) in alternating games with probabilistic transitions (improving an earlier
bound of Õ(n ⋅ m)), (2) in concurrent graph games with constant actions (improving
an earlier bound of O(n3)), and (3) in Markov decision processes (improving for
m>n4/3 an earlier bound of O(m ⋅ √m)). We then show how to maintain the winning
set for Büchi objectives in alternating games under a sequence of edge insertions
or a sequence of edge deletions in O(n) amortized time per operation. Our algorithms
are the first dynamic algorithms for this problem. We then consider another core
graph theoretic problem in verification of probabilistic systems, namely computing
the maximal end-component decomposition of a graph. We present two improved static
algorithms for the maximal end-component decomposition problem. Our first algorithm
is an O(m ⋅ √m)-time algorithm, and our second algorithm is an O(n2)-time algorithm
which is obtained using the same technique as for alternating Büchi games. Thus,
we obtain an O(min &lcu;m ⋅ √m,n2})-time algorithm improving the long-standing
O(n ⋅ m) time bound. Finally, we show how to maintain the maximal end-component
decomposition of a graph under a sequence of edge insertions or a sequence of
edge deletions in O(n) amortized time per edge deletion, and O(m) worst-case time
per edge insertion. Again, our algorithms are the first dynamic algorithms for
this problem.
article_number: a15
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
citation:
ama: Chatterjee K, Henzinger MH. Efficient and dynamic algorithms for alternating
Büchi games and maximal end-component decomposition. Journal of the ACM.
2014;61(3). doi:10.1145/2597631
apa: Chatterjee, K., & Henzinger, M. H. (2014). Efficient and dynamic algorithms
for alternating Büchi games and maximal end-component decomposition. Journal
of the ACM. ACM. https://doi.org/10.1145/2597631
chicago: Chatterjee, Krishnendu, and Monika H Henzinger. “Efficient and Dynamic
Algorithms for Alternating Büchi Games and Maximal End-Component Decomposition.”
Journal of the ACM. ACM, 2014. https://doi.org/10.1145/2597631.
ieee: K. Chatterjee and M. H. Henzinger, “Efficient and dynamic algorithms for alternating
Büchi games and maximal end-component decomposition,” Journal of the ACM,
vol. 61, no. 3. ACM, 2014.
ista: Chatterjee K, Henzinger MH. 2014. Efficient and dynamic algorithms for alternating
Büchi games and maximal end-component decomposition. Journal of the ACM. 61(3),
a15.
mla: Chatterjee, Krishnendu, and Monika H. Henzinger. “Efficient and Dynamic Algorithms
for Alternating Büchi Games and Maximal End-Component Decomposition.” Journal
of the ACM, vol. 61, no. 3, a15, ACM, 2014, doi:10.1145/2597631.
short: K. Chatterjee, M.H. Henzinger, Journal of the ACM 61 (2014).
date_created: 2018-12-11T11:55:57Z
date_published: 2014-05-01T00:00:00Z
date_updated: 2025-06-02T08:53:48Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/2597631
ec_funded: 1
intvolume: ' 61'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprints.cs.univie.ac.at/3933/
month: '05'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Journal of the ACM
publication_status: published
publisher: ACM
publist_id: '4883'
quality_controlled: '1'
related_material:
record:
- id: '3165'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Efficient and dynamic algorithms for alternating Büchi games and maximal end-component
decomposition
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 61
year: '2014'
...
---
_id: '2162'
abstract:
- lang: eng
text: 'We study two-player (zero-sum) concurrent mean-payoff games played on a finite-state
graph. We focus on the important sub-class of ergodic games where all states are
visited infinitely often with probability 1. The algorithmic study of ergodic
games was initiated in a seminal work of Hoffman and Karp in 1966, but all basic
complexity questions have remained unresolved. Our main results for ergodic games
are as follows: We establish (1) an optimal exponential bound on the patience
of stationary strategies (where patience of a distribution is the inverse of the
smallest positive probability and represents a complexity measure of a stationary
strategy); (2) the approximation problem lies in FNP; (3) the approximation problem
is at least as hard as the decision problem for simple stochastic games (for which
NP ∩ coNP is the long-standing best known bound). We present a variant of the
strategy-iteration algorithm by Hoffman and Karp; show that both our algorithm
and the classical value-iteration algorithm can approximate the value in exponential
time; and identify a subclass where the value-iteration algorithm is a FPTAS.
We also show that the exact value can be expressed in the existential theory of
the reals, and establish square-root sum hardness for a related class of games.'
alternative_title:
- LNCS
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Chatterjee K, Ibsen-Jensen R. The complexity of ergodic mean payoff games.
In: Vol 8573. Springer; 2014:122-133. doi:10.1007/978-3-662-43951-7_11'
apa: 'Chatterjee, K., & Ibsen-Jensen, R. (2014). The complexity of ergodic mean
payoff games (Vol. 8573, pp. 122–133). Presented at the ICST: International Conference
on Software Testing, Verification and Validation, Copenhagen, Denmark: Springer.
https://doi.org/10.1007/978-3-662-43951-7_11'
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Ergodic
Mean Payoff Games,” 8573:122–33. Springer, 2014. https://doi.org/10.1007/978-3-662-43951-7_11.
ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of ergodic mean payoff
games,” presented at the ICST: International Conference on Software Testing, Verification
and Validation, Copenhagen, Denmark, 2014, vol. 8573, no. Part 2, pp. 122–133.'
ista: 'Chatterjee K, Ibsen-Jensen R. 2014. The complexity of ergodic mean payoff
games. ICST: International Conference on Software Testing, Verification and Validation,
LNCS, vol. 8573, 122–133.'
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Complexity of Ergodic
Mean Payoff Games. Vol. 8573, no. Part 2, Springer, 2014, pp. 122–33, doi:10.1007/978-3-662-43951-7_11.
short: K. Chatterjee, R. Ibsen-Jensen, in:, Springer, 2014, pp. 122–133.
conference:
end_date: 2014-07-11
location: Copenhagen, Denmark
name: 'ICST: International Conference on Software Testing, Verification and Validation'
start_date: 2014-07-08
date_created: 2018-12-11T11:56:04Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2023-02-23T12:24:48Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-43951-7_11
ec_funded: 1
external_id:
arxiv:
- '1404.5734'
intvolume: ' 8573'
issue: Part 2
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.5734
month: '01'
oa: 1
oa_version: Preprint
page: 122 - 133
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Springer
publist_id: '4822'
quality_controlled: '1'
related_material:
record:
- id: '5404'
relation: earlier_version
status: public
status: public
title: The complexity of ergodic mean payoff games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8573
year: '2014'
...