---
_id: '2052'
abstract:
- lang: eng
text: A standard technique for solving the parameterized model checking problem
is to reduce it to the classic model checking problem of finitely many finite-state
systems. This work considers some of the theoretical power and limitations of
this technique. We focus on concurrent systems in which processes communicate
via pairwise rendezvous, as well as the special cases of disjunctive guards and
token passing; specifications are expressed in indexed temporal logic without
the next operator; and the underlying network topologies are generated by suitable
Monadic Second Order Logic formulas and graph operations. First, we settle the
exact computational complexity of the parameterized model checking problem for
some of our concurrent systems, and establish new decidability results for others.
Second, we consider the cases that model checking the parameterized system can
be reduced to model checking some fixed number of processes, the number is known
as a cutoff. We provide many cases for when such cutoffs can be computed, establish
lower bounds on the size of such cutoffs, and identify cases where no cutoff exists.
Third, we consider cases for which the parameterized system is equivalent to a
single finite-state system (more precisely a Büchi word automaton), and establish
tight bounds on the sizes of such automata.
acknowledgement: The second, third, fourth and fifth authors were supported by the
Austrian National Research Network S11403-N23 (RiSE) of the Austrian Science Fund
(FWF) and by the Vienna Science and Technology Fund (WWTF) through grants PROSEED,
ICT12-059, and VRG11-005.
alternative_title:
- LNCS
author:
- first_name: Benjamin
full_name: Aminof, Benjamin
id: 4A55BD00-F248-11E8-B48F-1D18A9856A87
last_name: Aminof
- first_name: Tomer
full_name: Kotek, Tomer
last_name: Kotek
- first_name: Sacha
full_name: Rubin, Sacha
last_name: Rubin
- first_name: Francesco
full_name: Spegni, Francesco
last_name: Spegni
- first_name: Helmut
full_name: Veith, Helmut
last_name: Veith
citation:
ama: 'Aminof B, Kotek T, Rubin S, Spegni F, Veith H. Parameterized model checking
of rendezvous systems. In: Baldan P, Gorla D, eds. Lecture Notes in Computer
Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture
Notes in Bioinformatics). Vol 8704. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik; 2014:109-124. doi:10.1007/978-3-662-44584-6_9'
apa: 'Aminof, B., Kotek, T., Rubin, S., Spegni, F., & Veith, H. (2014). Parameterized
model checking of rendezvous systems. In P. Baldan & D. Gorla (Eds.), Lecture
Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence
and Lecture Notes in Bioinformatics) (Vol. 8704, pp. 109–124). Rome, Italy:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.1007/978-3-662-44584-6_9'
chicago: Aminof, Benjamin, Tomer Kotek, Sacha Rubin, Francesco Spegni, and Helmut
Veith. “Parameterized Model Checking of Rendezvous Systems.” In Lecture Notes
in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence
and Lecture Notes in Bioinformatics), edited by Paolo Baldan and Daniele Gorla,
8704:109–24. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014. https://doi.org/10.1007/978-3-662-44584-6_9.
ieee: B. Aminof, T. Kotek, S. Rubin, F. Spegni, and H. Veith, “Parameterized model
checking of rendezvous systems,” in Lecture Notes in Computer Science (including
subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),
Rome, Italy, 2014, vol. 8704, pp. 109–124.
ista: 'Aminof B, Kotek T, Rubin S, Spegni F, Veith H. 2014. Parameterized model
checking of rendezvous systems. Lecture Notes in Computer Science (including subseries
Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
CONCUR: Concurrency Theory, LNCS, vol. 8704, 109–124.'
mla: Aminof, Benjamin, et al. “Parameterized Model Checking of Rendezvous Systems.”
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics), edited by Paolo Baldan
and Daniele Gorla, vol. 8704, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2014, pp. 109–24, doi:10.1007/978-3-662-44584-6_9.
short: B. Aminof, T. Kotek, S. Rubin, F. Spegni, H. Veith, in:, P. Baldan, D. Gorla
(Eds.), Lecture Notes in Computer Science (Including Subseries Lecture Notes in
Artificial Intelligence and Lecture Notes in Bioinformatics), Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2014, pp. 109–124.
conference:
end_date: 2014-09-05
location: Rome, Italy
name: 'CONCUR: Concurrency Theory'
start_date: 2014-09-02
date_created: 2018-12-11T11:55:26Z
date_published: 2014-09-01T00:00:00Z
date_updated: 2021-01-12T06:54:59Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-44584-6_9
editor:
- first_name: Paolo
full_name: Baldan, Paolo
last_name: Baldan
- first_name: Daniele
full_name: Gorla, Daniele
last_name: Gorla
intvolume: ' 8704'
language:
- iso: eng
month: '09'
oa_version: None
page: 109 - 124
publication: Lecture Notes in Computer Science (including subseries Lecture Notes
in Artificial Intelligence and Lecture Notes in Bioinformatics)
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4994'
quality_controlled: '1'
status: public
title: Parameterized model checking of rendezvous systems
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 8704
year: '2014'
...
---
_id: '2053'
abstract:
- lang: eng
text: In contrast to the usual understanding of probabilistic systems as stochastic
processes, recently these systems have also been regarded as transformers of probabilities.
In this paper, we give a natural definition of strong bisimulation for probabilistic
systems corresponding to this view that treats probability distributions as first-class
citizens. Our definition applies in the same way to discrete systems as well as
to systems with uncountable state and action spaces. Several examples demonstrate
that our definition refines the understanding of behavioural equivalences of probabilistic
systems. In particular, it solves a longstanding open problem concerning the representation
of memoryless continuous time by memoryfull continuous time. Finally, we give
algorithms for computing this bisimulation not only for finite but also for classes
of uncountably infinite systems.
acknowledgement: This work is supported by the EU 7th Framework Programme under grant
agreements 295261 (MEALS) and 318490 (SENSATION), Czech Science Foundation under
grant agreement P202/12/G061, the DFG Transregional Collaborative Research Centre
SFB/TR 14 AVACS, and by the CAS/SAFEA International Partnership Program for Creative
Research Teams.
alternative_title:
- LNCS
author:
- first_name: Holger
full_name: Hermanns, Holger
last_name: Hermanns
- first_name: Jan
full_name: Krčál, Jan
last_name: Krčál
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
citation:
ama: 'Hermanns H, Krčál J, Kretinsky J. Probabilistic bisimulation: Naturally on
distributions. In: Baldan P, Gorla D, eds. Lecture Notes in Computer Science
(Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes
in Bioinformatics). Vol 8704. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2014:249-265. doi:10.1007/978-3-662-44584-6_18'
apa: 'Hermanns, H., Krčál, J., & Kretinsky, J. (2014). Probabilistic bisimulation:
Naturally on distributions. In P. Baldan & D. Gorla (Eds.), Lecture Notes
in Computer Science (including subseries Lecture Notes in Artificial Intelligence
and Lecture Notes in Bioinformatics) (Vol. 8704, pp. 249–265). Rome, Italy:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.1007/978-3-662-44584-6_18'
chicago: 'Hermanns, Holger, Jan Krčál, and Jan Kretinsky. “Probabilistic Bisimulation:
Naturally on Distributions.” In Lecture Notes in Computer Science (Including
Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),
edited by Paolo Baldan and Daniele Gorla, 8704:249–65. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2014. https://doi.org/10.1007/978-3-662-44584-6_18.'
ieee: 'H. Hermanns, J. Krčál, and J. Kretinsky, “Probabilistic bisimulation: Naturally
on distributions,” in Lecture Notes in Computer Science (including subseries
Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),
Rome, Italy, 2014, vol. 8704, pp. 249–265.'
ista: 'Hermanns H, Krčál J, Kretinsky J. 2014. Probabilistic bisimulation: Naturally
on distributions. Lecture Notes in Computer Science (including subseries Lecture
Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). CONCUR:
Concurrency Theory, LNCS, vol. 8704, 249–265.'
mla: 'Hermanns, Holger, et al. “Probabilistic Bisimulation: Naturally on Distributions.”
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics), edited by Paolo Baldan
and Daniele Gorla, vol. 8704, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2014, pp. 249–65, doi:10.1007/978-3-662-44584-6_18.'
short: H. Hermanns, J. Krčál, J. Kretinsky, in:, P. Baldan, D. Gorla (Eds.), Lecture
Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence
and Lecture Notes in Bioinformatics), Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2014, pp. 249–265.
conference:
end_date: 2014-09-05
location: Rome, Italy
name: 'CONCUR: Concurrency Theory'
start_date: 2014-09-02
date_created: 2018-12-11T11:55:27Z
date_published: 2014-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:00Z
day: '01'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-662-44584-6_18
ec_funded: 1
editor:
- first_name: Paolo
full_name: Baldan, Paolo
last_name: Baldan
- first_name: Daniele
full_name: Gorla, Daniele
last_name: Gorla
intvolume: ' 8704'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.5084
month: '09'
oa: 1
oa_version: Submitted Version
page: 249 - 265
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
publication: Lecture Notes in Computer Science (including subseries Lecture Notes
in Artificial Intelligence and Lecture Notes in Bioinformatics)
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4993'
status: public
title: 'Probabilistic bisimulation: Naturally on distributions'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 8704
year: '2014'
...
---
_id: '2054'
abstract:
- lang: eng
text: 'We study two-player concurrent games on finite-state graphs played for an
infinite number of rounds, where in each round, the two players (player 1 and
player 2) choose their moves independently and simultaneously; the current state
and the two moves determine the successor state. The objectives are ω-regular
winning conditions specified as parity objectives. We consider the qualitative
analysis problems: the computation of the almost-sure and limit-sure winning set
of states, where player 1 can ensure to win with probability 1 and with probability
arbitrarily close to 1, respectively. In general the almost-sure and limit-sure
winning strategies require both infinite-memory as well as infinite-precision
(to describe probabilities). While the qualitative analysis problem for concurrent
parity games with infinite-memory, infinite-precision randomized strategies was
studied before, we study the bounded-rationality problem for qualitative analysis
of concurrent parity games, where the strategy set for player 1 is restricted
to bounded-resource strategies. In terms of precision, strategies can be deterministic,
uniform, finite-precision, or infinite-precision; and in terms of memory, strategies
can be memoryless, finite-memory, or infinite-memory. We present a precise and
complete characterization of the qualitative winning sets for all combinations
of classes of strategies. In particular, we show that uniform memoryless strategies
are as powerful as finite-precision infinite-memory strategies, and infinite-precision
memoryless strategies are as powerful as infinite-precision finite-memory strategies.
We show that the winning sets can be computed in (n2d+3) time, where n is the
size of the game structure and 2d is the number of priorities (or colors), and
our algorithms are symbolic. The membership problem of whether a state belongs
to a winning set can be decided in NP ∩ coNP. Our symbolic algorithms are based
on a characterization of the winning sets as μ-calculus formulas, however, our
μ-calculus formulas are crucially different from the ones for concurrent parity
games (without bounded rationality); and our memoryless witness strategy constructions
are significantly different from the infinite-memory witness strategy constructions
for concurrent parity games.'
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
citation:
ama: 'Chatterjee K. Qualitative concurrent parity games: Bounded rationality. In:
Baldan P, Gorla D, eds. Lecture Notes in Computer Science (Including Subseries
Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).
Vol 8704. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2014:544-559. doi:10.1007/978-3-662-44584-6_37'
apa: 'Chatterjee, K. (2014). Qualitative concurrent parity games: Bounded rationality.
In P. Baldan & D. Gorla (Eds.), Lecture Notes in Computer Science (including
subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
(Vol. 8704, pp. 544–559). Rome, Italy: Schloss Dagstuhl - Leibniz-Zentrum für
Informatik. https://doi.org/10.1007/978-3-662-44584-6_37'
chicago: 'Chatterjee, Krishnendu. “Qualitative Concurrent Parity Games: Bounded
Rationality.” In Lecture Notes in Computer Science (Including Subseries Lecture
Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), edited
by Paolo Baldan and Daniele Gorla, 8704:544–59. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2014. https://doi.org/10.1007/978-3-662-44584-6_37.'
ieee: 'K. Chatterjee, “Qualitative concurrent parity games: Bounded rationality,”
in Lecture Notes in Computer Science (including subseries Lecture Notes in
Artificial Intelligence and Lecture Notes in Bioinformatics), Rome, Italy,
2014, vol. 8704, pp. 544–559.'
ista: 'Chatterjee K. 2014. Qualitative concurrent parity games: Bounded rationality.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics). CONCUR: Concurrency Theory,
LNCS, vol. 8704, 544–559.'
mla: 'Chatterjee, Krishnendu. “Qualitative Concurrent Parity Games: Bounded Rationality.”
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics), edited by Paolo Baldan
and Daniele Gorla, vol. 8704, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2014, pp. 544–59, doi:10.1007/978-3-662-44584-6_37.'
short: K. Chatterjee, in:, P. Baldan, D. Gorla (Eds.), Lecture Notes in Computer
Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture
Notes in Bioinformatics), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2014,
pp. 544–559.
conference:
end_date: 2014-09-05
location: Rome, Italy
name: 'CONCUR: Concurrency Theory'
start_date: 2014-09-02
date_created: 2018-12-11T11:55:27Z
date_published: 2014-09-01T00:00:00Z
date_updated: 2023-02-23T11:23:36Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-44584-6_37
ec_funded: 1
editor:
- first_name: Paolo
full_name: Baldan, Paolo
last_name: Baldan
- first_name: Daniele
full_name: Gorla, Daniele
last_name: Gorla
intvolume: ' 8704'
language:
- iso: eng
month: '09'
oa_version: None
page: 544 - 559
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: Lecture Notes in Computer Science (including subseries Lecture Notes
in Artificial Intelligence and Lecture Notes in Bioinformatics)
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4992'
quality_controlled: '1'
related_material:
record:
- id: '3354'
relation: earlier_version
status: public
status: public
title: 'Qualitative concurrent parity games: Bounded rationality'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 8704
year: '2014'
...
---
_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:
record:
- id: '5412'
relation: earlier_version
status: public
- id: '5413'
relation: earlier_version
status: public
- id: '5414'
relation: earlier_version
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: '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'
...
---
_id: '2163'
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 in general, 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. From our results we derive new complexity results for partial-observation
stochastic games.
acknowledgement: "This research was partly supported by European project Cassting
(FP7-601148).\r\nTechnical Report under https://research-explorer.app.ist.ac.at/record/5418\r\n"
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: 'Chatterjee K, Doyen L. Games with a weak adversary. In: Lecture Notes in
Computer Science. Vol 8573. Springer; 2014:110-121. doi:10.1007/978-3-662-43951-7_10'
apa: 'Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary. In Lecture
Notes in Computer Science (Vol. 8573, pp. 110–121). Copenhagen, Denmark: Springer.
https://doi.org/10.1007/978-3-662-43951-7_10'
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.”
In Lecture Notes in Computer Science, 8573:110–21. Springer, 2014. https://doi.org/10.1007/978-3-662-43951-7_10.
ieee: K. Chatterjee and L. Doyen, “Games with a weak adversary,” in Lecture Notes
in Computer Science, Copenhagen, Denmark, 2014, vol. 8573, no. Part 2, pp.
110–121.
ista: 'Chatterjee K, Doyen L. 2014. Games with a weak adversary. Lecture Notes in
Computer Science. ICALP: Automata, Languages and Programming, LNCS, vol. 8573,
110–121.'
mla: Chatterjee, Krishnendu, and Laurent Doyen. “Games with a Weak Adversary.” Lecture
Notes in Computer Science, vol. 8573, no. Part 2, Springer, 2014, pp. 110–21,
doi:10.1007/978-3-662-43951-7_10.
short: K. Chatterjee, L. Doyen, in:, Lecture Notes in Computer Science, Springer,
2014, pp. 110–121.
conference:
end_date: 2014-07-11
location: Copenhagen, Denmark
name: 'ICALP: Automata, Languages and Programming'
start_date: 2014-07-08
date_created: 2018-12-11T11:56:04Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2023-02-23T12:25:29Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-662-43951-7_10
ec_funded: 1
external_id:
arxiv:
- '1404.5453'
intvolume: ' 8573'
issue: Part 2
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1404.5453
month: '01'
oa: 1
oa_version: Preprint
page: 110 - 121
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: Lecture Notes in Computer Science
publication_status: published
publisher: Springer
publist_id: '4821'
quality_controlled: '1'
related_material:
record:
- id: '5418'
relation: earlier_version
status: public
status: public
title: Games with a weak adversary
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8573
year: '2014'
...
---
_id: '2187'
abstract:
- lang: eng
text: 'Systems should not only be correct but also robust in the sense that they
behave reasonably in unexpected situations. This article addresses synthesis of
robust reactive systems from temporal specifications. Existing methods allow arbitrary
behavior if assumptions in the specification are violated. To overcome this, we
define two robustness notions, combine them, and show how to enforce them in synthesis.
The first notion applies to safety properties: If safety assumptions are violated
temporarily, we require that the system recovers to normal operation with as few
errors as possible. The second notion requires that, if liveness assumptions are
violated, as many guarantees as possible should be fulfilled nevertheless. We
present a synthesis procedure achieving this for the important class of GR(1)
specifications, and establish complexity bounds. We also present an implementation
of a special case of robustness, and show experimental results.'
article_processing_charge: No
article_type: original
author:
- first_name: Roderick
full_name: Bloem, Roderick
last_name: Bloem
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Karin
full_name: Greimel, Karin
last_name: Greimel
- 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: Georg
full_name: Hofferek, Georg
last_name: Hofferek
- first_name: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
- first_name: Bettina
full_name: Könighofer, Bettina
last_name: Könighofer
- first_name: Robert
full_name: Könighofer, Robert
last_name: Könighofer
citation:
ama: Bloem R, Chatterjee K, Greimel K, et al. Synthesizing robust systems. Acta
Informatica. 2014;51(3-4):193-220. doi:10.1007/s00236-013-0191-5
apa: Bloem, R., Chatterjee, K., Greimel, K., Henzinger, T. A., Hofferek, G., Jobstmann,
B., … Könighofer, R. (2014). Synthesizing robust systems. Acta Informatica.
Springer. https://doi.org/10.1007/s00236-013-0191-5
chicago: Bloem, Roderick, Krishnendu Chatterjee, Karin Greimel, Thomas A Henzinger,
Georg Hofferek, Barbara Jobstmann, Bettina Könighofer, and Robert Könighofer.
“Synthesizing Robust Systems.” Acta Informatica. Springer, 2014. https://doi.org/10.1007/s00236-013-0191-5.
ieee: R. Bloem et al., “Synthesizing robust systems,” Acta Informatica,
vol. 51, no. 3–4. Springer, pp. 193–220, 2014.
ista: Bloem R, Chatterjee K, Greimel K, Henzinger TA, Hofferek G, Jobstmann B, Könighofer
B, Könighofer R. 2014. Synthesizing robust systems. Acta Informatica. 51(3–4),
193–220.
mla: Bloem, Roderick, et al. “Synthesizing Robust Systems.” Acta Informatica,
vol. 51, no. 3–4, Springer, 2014, pp. 193–220, doi:10.1007/s00236-013-0191-5.
short: R. Bloem, K. Chatterjee, K. Greimel, T.A. Henzinger, G. Hofferek, B. Jobstmann,
B. Könighofer, R. Könighofer, Acta Informatica 51 (2014) 193–220.
date_created: 2018-12-11T11:56:13Z
date_published: 2014-06-01T00:00:00Z
date_updated: 2021-01-12T06:55:51Z
day: '01'
ddc:
- '621'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/s00236-013-0191-5
ec_funded: 1
file:
- access_level: open_access
checksum: d7f560f3d923f0f00aa10a0652f83273
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:44Z
date_updated: 2020-07-14T12:45:31Z
file_id: '5234'
file_name: IST-2012-71-v1+1_Synthesizing_robust_systems.pdf
file_size: 169523
relation: main_file
file_date_updated: 2020-07-14T12:45:31Z
has_accepted_license: '1'
intvolume: ' 51'
issue: 3-4
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 193 - 220
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 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: Acta Informatica
publication_status: published
publisher: Springer
publist_id: '4787'
pubrep_id: '71'
quality_controlled: '1'
scopus_import: 1
status: public
title: Synthesizing robust systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 51
year: '2014'
...
---
_id: '2190'
abstract:
- lang: eng
text: We present a new algorithm to construct a (generalized) deterministic Rabin
automaton for an LTL formula φ. The automaton is the product of a master automaton
and an array of slave automata, one for each G-subformula of φ. The slave automaton
for G ψ is in charge of recognizing whether FG ψ holds. As opposed to standard
determinization procedures, the states of all our automata have a clear logical
structure, which allows for various optimizations. Our construction subsumes former
algorithms for fragments of LTL. Experimental results show improvement in the
sizes of the resulting automata compared to existing methods.
acknowledgement: The author is on leave from Faculty of Informatics, Masaryk University,
Czech Republic, and partially supported by the Czech Science Foundation, grant No.
P202/12/G061.
alternative_title:
- LNCS
author:
- first_name: Javier
full_name: Esparza, Javier
last_name: Esparza
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
citation:
ama: 'Esparza J, Kretinsky J. From LTL to deterministic automata: A safraless compositional
approach. In: Vol 8559. Springer; 2014:192-208. doi:10.1007/978-3-319-08867-9_13'
apa: 'Esparza, J., & Kretinsky, J. (2014). From LTL to deterministic automata:
A safraless compositional approach (Vol. 8559, pp. 192–208). Presented at the
CAV: Computer Aided Verification, Springer. https://doi.org/10.1007/978-3-319-08867-9_13'
chicago: 'Esparza, Javier, and Jan Kretinsky. “From LTL to Deterministic Automata:
A Safraless Compositional Approach,” 8559:192–208. Springer, 2014. https://doi.org/10.1007/978-3-319-08867-9_13.'
ieee: 'J. Esparza and J. Kretinsky, “From LTL to deterministic automata: A safraless
compositional approach,” presented at the CAV: Computer Aided Verification, 2014,
vol. 8559, pp. 192–208.'
ista: 'Esparza J, Kretinsky J. 2014. From LTL to deterministic automata: A safraless
compositional approach. CAV: Computer Aided Verification, LNCS, vol. 8559, 192–208.'
mla: 'Esparza, Javier, and Jan Kretinsky. From LTL to Deterministic Automata:
A Safraless Compositional Approach. Vol. 8559, Springer, 2014, pp. 192–208,
doi:10.1007/978-3-319-08867-9_13.'
short: J. Esparza, J. Kretinsky, in:, Springer, 2014, pp. 192–208.
conference:
name: 'CAV: Computer Aided Verification'
date_created: 2018-12-11T11:56:14Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:53Z
day: '01'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-319-08867-9_13
ec_funded: 1
intvolume: ' 8559'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1402.3388
month: '01'
oa: 1
oa_version: Submitted Version
page: 192 - 208
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
publication_status: published
publisher: Springer
publist_id: '4784'
quality_controlled: '1'
status: public
title: 'From LTL to deterministic automata: A safraless compositional approach'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 8559
year: '2014'
...
---
_id: '2211'
abstract:
- lang: eng
text: 'In two-player finite-state stochastic games of partial observation on graphs,
in every state of the graph, the players simultaneously choose an action, and
their joint actions determine a probability distribution over the successor states.
The game is played for infinitely many rounds and thus the players construct an
infinite path in the graph. We consider reachability objectives where the first
player tries to ensure a target state to be visited almost-surely (i.e., with
probability 1) or positively (i.e., with positive probability), no matter the
strategy of the second player. We classify such games according to the information
and to the power of randomization available to the players. On the basis of information,
the game can be one-sided with either (a) player 1, or (b) player 2 having partial
observation (and the other player has perfect observation), or two-sided with
(c) both players having partial observation. On the basis of randomization, (a)
the players may not be allowed to use randomization (pure strategies), or (b)
they may choose a probability distribution over actions but the actual random
choice is external and not visible to the player (actions invisible), or (c) they
may use full randomization. Our main results for pure strategies are as follows:
(1) For one-sided games with player 2 having perfect observation we show that
(in contrast to full randomized strategies) belief-based (subset-construction
based) strategies are not sufficient, and we present an exponential upper bound
on memory both for almost-sure and positive winning strategies; we show that the
problem of deciding the existence of almost-sure and positive winning strategies
for player 1 is EXPTIME-complete and present symbolic algorithms that avoid the
explicit exponential construction. (2) For one-sided games with player 1 having
perfect observation we show that nonelementarymemory is both necessary and sufficient
for both almost-sure and positive winning strategies. (3) We show that for the
general (two-sided) case finite-memory strategies are sufficient for both positive
and almost-sure winning, and at least nonelementary memory is required. We establish
the equivalence of the almost-sure winning problems for pure strategies and for
randomized strategies with actions invisible. Our equivalence result exhibit serious
flaws in previous results of the literature: we show a nonelementary memory lower
bound for almost-sure winning whereas an exponential upper bound was previously
claimed.'
article_number: '16'
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: 'Chatterjee K, Doyen L. Partial-observation stochastic games: How to win when
belief fails. ACM Transactions on Computational Logic (TOCL). 2014;15(2).
doi:10.1145/2579821'
apa: 'Chatterjee, K., & Doyen, L. (2014). Partial-observation stochastic games:
How to win when belief fails. ACM Transactions on Computational Logic (TOCL).
ACM. https://doi.org/10.1145/2579821'
chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic
Games: How to Win When Belief Fails.” ACM Transactions on Computational Logic
(TOCL). ACM, 2014. https://doi.org/10.1145/2579821.'
ieee: 'K. Chatterjee and L. Doyen, “Partial-observation stochastic games: How to
win when belief fails,” ACM Transactions on Computational Logic (TOCL),
vol. 15, no. 2. ACM, 2014.'
ista: 'Chatterjee K, Doyen L. 2014. Partial-observation stochastic games: How to
win when belief fails. ACM Transactions on Computational Logic (TOCL). 15(2),
16.'
mla: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic
Games: How to Win When Belief Fails.” ACM Transactions on Computational Logic
(TOCL), vol. 15, no. 2, 16, ACM, 2014, doi:10.1145/2579821.'
short: K. Chatterjee, L. Doyen, ACM Transactions on Computational Logic (TOCL) 15
(2014).
date_created: 2018-12-11T11:56:21Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2023-02-23T12:23:43Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/2579821
external_id:
arxiv:
- '1107.2141'
intvolume: ' 15'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2141
month: '04'
oa: 1
oa_version: Preprint
publication: ACM Transactions on Computational Logic (TOCL)
publication_status: published
publisher: ACM
publist_id: '4759'
quality_controlled: '1'
related_material:
record:
- id: '1903'
relation: earlier_version
status: public
- id: '2955'
relation: earlier_version
status: public
- id: '5381'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: 'Partial-observation stochastic games: How to win when belief fails'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2014'
...
---
_id: '2212'
abstract:
- lang: eng
text: 'The theory of graph games is the foundation for modeling and synthesizing
reactive processes. In the synthesis of stochastic processes, we use 2 1/2-player
games where some transitions of the game graph are controlled by two adversarial
players, the System and the Environment, and the other transitions are determined
probabilistically. We consider 2 1/2-player games where the objective of the System
is the conjunction of a qualitative objective (specified as a parity condition)
and a quantitative objective (specified as a mean-payoff condition). We establish
that the problem of deciding whether the System can ensure that the probability
to satisfy the mean-payoff parity objective is at least a given threshold is in
NP ∩ coNP, matching the best known bound in the special case of 2-player games
(where all transitions are deterministic). We present an algorithm running in
time O(d·n2d·MeanGame) to compute the set of almost-sure winning states from which
the objective can be ensured with probability 1, where n is the number of states
of the game, d the number of priorities of the parity objective, and MeanGame
is the complexity to compute the set of almost-sure winning states in 2 1/2-player
mean-payoff games. Our results are useful in the synthesis of stochastic reactive
systems with both functional requirement (given as a qualitative objective) and
performance requirement (given as a quantitative objective). '
acknowledgement: "This research was supported by European project Cassting (FP7-601148).\r\nA
Technical Report of this paper is available at: \r\nhttps://repository.ist.ac.at/id/eprint/128."
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Hugo
full_name: Gimbert, Hugo
last_name: Gimbert
- first_name: Youssouf
full_name: Oualhadj, Youssouf
last_name: Oualhadj
citation:
ama: 'Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. Perfect-information stochastic
mean-payoff parity games. In: Vol 8412. Springer; 2014:210-225. doi:10.1007/978-3-642-54830-7_14'
apa: 'Chatterjee, K., Doyen, L., Gimbert, H., & Oualhadj, Y. (2014). Perfect-information
stochastic mean-payoff parity games (Vol. 8412, pp. 210–225). Presented at the
FoSSaCS: Foundations of Software Science and Computation Structures, Grenoble,
France: Springer. https://doi.org/10.1007/978-3-642-54830-7_14'
chicago: Chatterjee, Krishnendu, Laurent Doyen, Hugo Gimbert, and Youssouf Oualhadj.
“Perfect-Information Stochastic Mean-Payoff Parity Games,” 8412:210–25. Springer,
2014. https://doi.org/10.1007/978-3-642-54830-7_14.
ieee: 'K. Chatterjee, L. Doyen, H. Gimbert, and Y. Oualhadj, “Perfect-information
stochastic mean-payoff parity games,” presented at the FoSSaCS: Foundations of
Software Science and Computation Structures, Grenoble, France, 2014, vol. 8412,
pp. 210–225.'
ista: 'Chatterjee K, Doyen L, Gimbert H, Oualhadj Y. 2014. Perfect-information stochastic
mean-payoff parity games. FoSSaCS: Foundations of Software Science and Computation
Structures, LNCS, vol. 8412, 210–225.'
mla: Chatterjee, Krishnendu, et al. Perfect-Information Stochastic Mean-Payoff
Parity Games. Vol. 8412, Springer, 2014, pp. 210–25, doi:10.1007/978-3-642-54830-7_14.
short: K. Chatterjee, L. Doyen, H. Gimbert, Y. Oualhadj, in:, Springer, 2014, pp.
210–225.
conference:
end_date: 2014-04-13
location: Grenoble, France
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2014-04-05
date_created: 2018-12-11T11:56:21Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2023-02-23T12:24:50Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-642-54830-7_14
ec_funded: 1
intvolume: ' 8412'
language:
- iso: eng
month: '04'
oa_version: None
page: 210 - 225
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: '4758'
quality_controlled: '1'
related_material:
record:
- id: '5405'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Perfect-information stochastic mean-payoff parity games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8412
year: '2014'
...
---
_id: '2213'
abstract:
- lang: eng
text: We consider two-player partial-observation stochastic games on finitestate
graphs where player 1 has partial observation and player 2 has perfect observation.
The winning condition we study are ε-regular conditions specified as parity objectives.
The qualitative-analysis problem given a partial-observation stochastic game and
a parity objective asks whether there is a strategy to ensure that the objective
is satisfied with probability 1 (resp. positive probability). These qualitative-analysis
problems are known to be undecidable. However in many applications the relevant
question is the existence of finite-memory strategies, and the qualitative-analysis
problems under finite-memory strategies was recently shown to be decidable in
2EXPTIME.We improve the complexity and show that the qualitative-analysis problems
for partial-observation stochastic parity games under finite-memory strategies
are EXPTIME-complete; and also establish optimal (exponential) memory bounds for
finite-memory strategies required for qualitative analysis.
acknowledgement: 'This research was supported by European project Cassting (FP7-601148),
NSF grants CNS 1049862 and CCF-1139011, by NSF Expe ditions in Computing project
“ExCAPE: Expeditions in Computer Augmented Program Engineering”, by BSF grant 9800096,
and by gift from Intel.'
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Sumit
full_name: Nain, Sumit
last_name: Nain
- first_name: Moshe
full_name: Vardi, Moshe
last_name: Vardi
citation:
ama: 'Chatterjee K, Doyen L, Nain S, Vardi M. The complexity of partial-observation
stochastic parity games with finite-memory strategies. In: Vol 8412. Springer;
2014:242-257. doi:10.1007/978-3-642-54830-7_16'
apa: 'Chatterjee, K., Doyen, L., Nain, S., & Vardi, M. (2014). The complexity
of partial-observation stochastic parity games with finite-memory strategies (Vol.
8412, pp. 242–257). Presented at the FoSSaCS: Foundations of Software Science
and Computation Structures, Grenoble, France: Springer. https://doi.org/10.1007/978-3-642-54830-7_16'
chicago: Chatterjee, Krishnendu, Laurent Doyen, Sumit Nain, and Moshe Vardi. “The
Complexity of Partial-Observation Stochastic Parity Games with Finite-Memory Strategies,”
8412:242–57. Springer, 2014. https://doi.org/10.1007/978-3-642-54830-7_16.
ieee: 'K. Chatterjee, L. Doyen, S. Nain, and M. Vardi, “The complexity of partial-observation
stochastic parity games with finite-memory strategies,” presented at the FoSSaCS:
Foundations of Software Science and Computation Structures, Grenoble, France,
2014, vol. 8412, pp. 242–257.'
ista: 'Chatterjee K, Doyen L, Nain S, Vardi M. 2014. The complexity of partial-observation
stochastic parity games with finite-memory strategies. FoSSaCS: Foundations of
Software Science and Computation Structures, LNCS, vol. 8412, 242–257.'
mla: Chatterjee, Krishnendu, et al. The Complexity of Partial-Observation Stochastic
Parity Games with Finite-Memory Strategies. Vol. 8412, Springer, 2014, pp.
242–57, doi:10.1007/978-3-642-54830-7_16.
short: K. Chatterjee, L. Doyen, S. Nain, M. Vardi, in:, Springer, 2014, pp. 242–257.
conference:
end_date: 2014-04-13
location: Grenoble, France
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2014-04-05
date_created: 2018-12-11T11:56:21Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2023-02-23T12:24:58Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-642-54830-7_16
ec_funded: 1
external_id:
arxiv:
- '1401.3289'
intvolume: ' 8412'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1401.3289
month: '04'
oa: 1
oa_version: Preprint
page: 242 - 257
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: '4757'
quality_controlled: '1'
related_material:
record:
- id: '5408'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: The complexity of partial-observation stochastic parity games with finite-memory
strategies
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8412
year: '2014'
...
---
_id: '2216'
abstract:
- lang: eng
text: The edit distance between two (untimed) traces is the minimum cost of a sequence
of edit operations (insertion, deletion, or substitution) needed to transform
one trace to the other. Edit distances have been extensively studied in the untimed
setting, and form the basis for approximate matching of sequences in different
domains such as coding theory, parsing, and speech recognition. In this paper,
we lift the study of edit distances from untimed languages to the timed setting.
We define an edit distance between timed words which incorporates both the edit
distance between the untimed words and the absolute difference in time stamps.
Our edit distance between two timed words is computable in polynomial time. Further,
we show that the edit distance between a timed word and a timed language generated
by a timed automaton, defined as the edit distance between the word and the closest
word in the language, is PSPACE-complete. While computing the edit distance between
two timed automata is undecidable, we show that the approximate version, where
we decide if the edit distance between two timed automata is either less than
a given parameter or more than δ away from the parameter, for δ > 0, can be
solved in exponential space and is EXPSPACE-hard. Our definitions and techniques
can be generalized to the setting of hybrid systems, and analogous decidability
results hold for rectangular automata.
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: Ritankar
full_name: Majumdar, Ritankar
last_name: Majumdar
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Majumdar R. Edit distance for timed automata.
In: Springer; 2014:303-312. doi:10.1145/2562059.2562141'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Majumdar, R. (2014). Edit distance
for timed automata (pp. 303–312). Presented at the HSCC: Hybrid Systems - Computation
and Control, Berlin, Germany: Springer. https://doi.org/10.1145/2562059.2562141'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Ritankar Majumdar. “Edit
Distance for Timed Automata,” 303–12. Springer, 2014. https://doi.org/10.1145/2562059.2562141.
ieee: 'K. Chatterjee, R. Ibsen-Jensen, and R. Majumdar, “Edit distance for timed
automata,” presented at the HSCC: Hybrid Systems - Computation and Control, Berlin,
Germany, 2014, pp. 303–312.'
ista: 'Chatterjee K, Ibsen-Jensen R, Majumdar R. 2014. Edit distance for timed automata.
HSCC: Hybrid Systems - Computation and Control, 303–312.'
mla: Chatterjee, Krishnendu, et al. Edit Distance for Timed Automata. Springer,
2014, pp. 303–12, doi:10.1145/2562059.2562141.
short: K. Chatterjee, R. Ibsen-Jensen, R. Majumdar, in:, Springer, 2014, pp. 303–312.
conference:
end_date: 2017-04-17
location: Berlin, Germany
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2017-04-15
date_created: 2018-12-11T11:56:22Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2023-02-23T12:25:01Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/2562059.2562141
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://dl.acm.org/citation.cfm?doid=2562059.2562141
month: '01'
oa: 1
oa_version: Submitted Version
page: 303 - 312
publication_status: published
publisher: Springer
publist_id: '4752'
quality_controlled: '1'
related_material:
record:
- id: '5409'
relation: earlier_version
status: public
status: public
title: Edit distance for timed automata
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '2234'
abstract:
- lang: eng
text: We study Markov decision processes (MDPs) with multiple limit-average (or
mean-payoff) functions. We consider two different objectives, namely, expectation
and satisfaction objectives. Given an MDP with κ limit-average functions, in the
expectation objective the goal is to maximize the expected limit-average value,
and in the satisfaction objective the goal is to maximize the probability of runs
such that the limit-average value stays above a given vector. We show that under
the expectation objective, in contrast to the case of one limit-average function,
both randomization and memory are necessary for strategies even for ε-approximation,
and that finite-memory randomized strategies are sufficient for achieving Pareto
optimal values. Under the satisfaction objective, in contrast to the case of one
limit-average function, infinite memory is necessary for strategies achieving
a specific value (i.e. randomized finite-memory strategies are not sufficient),
whereas memoryless randomized strategies are sufficient for ε-approximation, for
all ε > 0. We further prove that the decision problems for both expectation
and satisfaction objectives can be solved in polynomial time and the trade-off
curve (Pareto curve) can be ε-approximated in time polynomial in the size of the
MDP and 1/ε, and exponential in the number of limit-average functions, for all
ε > 0. Our analysis also reveals flaws in previous work for MDPs with multiple
mean-payoff functions under the expectation objective, corrects the flaws, and
allows us to obtain improved results.
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Václav
full_name: Brožek, Václav
last_name: Brožek
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vojtěch
full_name: Forejt, Vojtěch
last_name: Forejt
- first_name: Antonín
full_name: Kučera, Antonín
last_name: Kučera
citation:
ama: Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. Markov decision processes
with multiple long-run average objectives. Logical Methods in Computer Science.
2014;10(1). doi:10.2168/LMCS-10(1:13)2014
apa: Brázdil, T., Brožek, V., Chatterjee, K., Forejt, V., & Kučera, A. (2014).
Markov decision processes with multiple long-run average objectives. Logical
Methods in Computer Science. International Federation of Computational Logic.
https://doi.org/10.2168/LMCS-10(1:13)2014
chicago: Brázdil, Tomáš, Václav Brožek, Krishnendu Chatterjee, Vojtěch Forejt, and
Antonín Kučera. “Markov Decision Processes with Multiple Long-Run Average Objectives.”
Logical Methods in Computer Science. International Federation of Computational
Logic, 2014. https://doi.org/10.2168/LMCS-10(1:13)2014.
ieee: T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, and A. Kučera, “Markov decision
processes with multiple long-run average objectives,” Logical Methods in Computer
Science, vol. 10, no. 1. International Federation of Computational Logic,
2014.
ista: Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. 2014. Markov decision
processes with multiple long-run average objectives. Logical Methods in Computer
Science. 10(1).
mla: Brázdil, Tomáš, et al. “Markov Decision Processes with Multiple Long-Run Average
Objectives.” Logical Methods in Computer Science, vol. 10, no. 1, International
Federation of Computational Logic, 2014, doi:10.2168/LMCS-10(1:13)2014.
short: T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, A. Kučera, Logical Methods
in Computer Science 10 (2014).
date_created: 2018-12-11T11:56:29Z
date_published: 2014-02-14T00:00:00Z
date_updated: 2021-01-12T06:56:11Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.2168/LMCS-10(1:13)2014
ec_funded: 1
file:
- access_level: open_access
checksum: 803edcc2d8c1acfba44a9ec43a5eb9f0
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:07:57Z
date_updated: 2020-07-14T12:45:34Z
file_id: '4656'
file_name: IST-2016-428-v1+1_1104.3489.pdf
file_size: 375388
relation: main_file
file_date_updated: 2020-07-14T12:45:34Z
has_accepted_license: '1'
intvolume: ' 10'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://repository.ist.ac.at/id/eprint/428
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Logical Methods in Computer Science
publication_identifier:
issn:
- '18605974'
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '4727'
pubrep_id: '428'
quality_controlled: '1'
scopus_import: 1
status: public
title: Markov decision processes with multiple long-run average objectives
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2014'
...
---
_id: '2246'
abstract:
- lang: eng
text: 'Muller games are played by two players moving a token along a graph; the
winner is determined by the set of vertices that occur infinitely often. The central
algorithmic problem is to compute the winning regions for the players. Different
classes and representations of Muller games lead to problems of varying computational
complexity. One such class are parity games; these are of particular significance
in computational complexity, as they remain one of the few combinatorial problems
known to be in NP ∩ co-NP but not known to be in P. We show that winning regions
for a Muller game can be determined from the alternating structure of its traps.
To every Muller game we then associate a natural number that we call its trap
depth; this parameter measures how complicated the trap structure is. We present
algorithms for parity games that run in polynomial time for graphs of bounded
trap depth, and in general run in time exponential in the trap depth. '
author:
- first_name: Andrey
full_name: Grinshpun, Andrey
last_name: Grinshpun
- first_name: Pakawat
full_name: Phalitnonkiat, Pakawat
last_name: Phalitnonkiat
- first_name: Sasha
full_name: Rubin, Sasha
id: 2EC51194-F248-11E8-B48F-1D18A9856A87
last_name: Rubin
- first_name: Andrei
full_name: Tarfulea, Andrei
last_name: Tarfulea
citation:
ama: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. Alternating traps in Muller
and parity games. Theoretical Computer Science. 2014;521:73-91. doi:10.1016/j.tcs.2013.11.032
apa: Grinshpun, A., Phalitnonkiat, P., Rubin, S., & Tarfulea, A. (2014). Alternating
traps in Muller and parity games. Theoretical Computer Science. Elsevier.
https://doi.org/10.1016/j.tcs.2013.11.032
chicago: Grinshpun, Andrey, Pakawat Phalitnonkiat, Sasha Rubin, and Andrei Tarfulea.
“Alternating Traps in Muller and Parity Games.” Theoretical Computer Science.
Elsevier, 2014. https://doi.org/10.1016/j.tcs.2013.11.032.
ieee: A. Grinshpun, P. Phalitnonkiat, S. Rubin, and A. Tarfulea, “Alternating traps
in Muller and parity games,” Theoretical Computer Science, vol. 521. Elsevier,
pp. 73–91, 2014.
ista: Grinshpun A, Phalitnonkiat P, Rubin S, Tarfulea A. 2014. Alternating traps
in Muller and parity games. Theoretical Computer Science. 521, 73–91.
mla: Grinshpun, Andrey, et al. “Alternating Traps in Muller and Parity Games.” Theoretical
Computer Science, vol. 521, Elsevier, 2014, pp. 73–91, doi:10.1016/j.tcs.2013.11.032.
short: A. Grinshpun, P. Phalitnonkiat, S. Rubin, A. Tarfulea, Theoretical Computer
Science 521 (2014) 73–91.
date_created: 2018-12-11T11:56:33Z
date_published: 2014-02-13T00:00:00Z
date_updated: 2021-01-12T06:56:16Z
day: '13'
department:
- _id: KrCh
doi: 10.1016/j.tcs.2013.11.032
intvolume: ' 521'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1303.3777
month: '02'
oa: 1
oa_version: Submitted Version
page: 73 - 91
publication: Theoretical Computer Science
publication_identifier:
issn:
- '03043975'
publication_status: published
publisher: Elsevier
publist_id: '4703'
quality_controlled: '1'
scopus_import: 1
status: public
title: Alternating traps in Muller and parity games
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 521
year: '2014'
...
---
_id: '475'
abstract:
- lang: eng
text: 'First cycle games (FCG) are played on a finite graph by two players who push
a token along the edges until a vertex is repeated, and a simple cycle is formed.
The winner is determined by some fixed property Y of the sequence of labels of
the edges (or nodes) forming this cycle. These games are traditionally of interest
because of their connection with infinite-duration games such as parity and mean-payoff
games. We study the memory requirements for winning strategies of FCGs and certain
associated infinite duration games. We exhibit a simple FCG that is not memoryless
determined (this corrects a mistake in Memoryless determinacy of parity and mean
payoff games: a simple proof by Bj⋯orklund, Sandberg, Vorobyov (2004) that claims
that FCGs for which Y is closed under cyclic permutations are memoryless determined).
We show that θ (n)! memory (where n is the number of nodes in the graph), which
is always sufficient, may be necessary to win some FCGs. On the other hand, we
identify easy to check conditions on Y (i.e., Y is closed under cyclic permutations,
and both Y and its complement are closed under concatenation) that are sufficient
to ensure that the corresponding FCGs and their associated infinite duration games
are memoryless determined. We demonstrate that many games considered in the literature,
such as mean-payoff, parity, energy, etc., satisfy these conditions. On the complexity
side, we show (for efficiently computable Y) that while solving FCGs is in PSPACE,
solving some families of FCGs is PSPACE-hard. '
alternative_title:
- EPTCS
author:
- first_name: Benjamin
full_name: Aminof, Benjamin
id: 4A55BD00-F248-11E8-B48F-1D18A9856A87
last_name: Aminof
- first_name: Sasha
full_name: Rubin, Sasha
id: 2EC51194-F248-11E8-B48F-1D18A9856A87
last_name: Rubin
citation:
ama: 'Aminof B, Rubin S. First cycle games. In: Electronic Proceedings in Theoretical
Computer Science, EPTCS. Vol 146. Open Publishing Association; 2014:83-90.
doi:10.4204/EPTCS.146.11'
apa: 'Aminof, B., & Rubin, S. (2014). First cycle games. In Electronic Proceedings
in Theoretical Computer Science, EPTCS (Vol. 146, pp. 83–90). Grenoble, France:
Open Publishing Association. https://doi.org/10.4204/EPTCS.146.11'
chicago: Aminof, Benjamin, and Sasha Rubin. “First Cycle Games.” In Electronic
Proceedings in Theoretical Computer Science, EPTCS, 146:83–90. Open Publishing
Association, 2014. https://doi.org/10.4204/EPTCS.146.11.
ieee: B. Aminof and S. Rubin, “First cycle games,” in Electronic Proceedings
in Theoretical Computer Science, EPTCS, Grenoble, France, 2014, vol. 146,
pp. 83–90.
ista: 'Aminof B, Rubin S. 2014. First cycle games. Electronic Proceedings in Theoretical
Computer Science, EPTCS. SR: Strategic Reasoning, EPTCS, vol. 146, 83–90.'
mla: Aminof, Benjamin, and Sasha Rubin. “First Cycle Games.” Electronic Proceedings
in Theoretical Computer Science, EPTCS, vol. 146, Open Publishing Association,
2014, pp. 83–90, doi:10.4204/EPTCS.146.11.
short: B. Aminof, S. Rubin, in:, Electronic Proceedings in Theoretical Computer
Science, EPTCS, Open Publishing Association, 2014, pp. 83–90.
conference:
end_date: 2014-04-06
location: Grenoble, France
name: 'SR: Strategic Reasoning'
start_date: 2014-04-05
date_created: 2018-12-11T11:46:41Z
date_published: 2014-04-01T00:00:00Z
date_updated: 2021-01-12T08:00:53Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4204/EPTCS.146.11
ec_funded: 1
file:
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checksum: 4d7b4ab82980cca2b96ac7703992a8c8
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:08Z
date_updated: 2020-07-14T12:46:35Z
file_id: '5260'
file_name: IST-2018-952-v1+1_2014_Rubin_First_cycle.pdf
file_size: 100115
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file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 146'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 83 - 90
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _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: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Electronic Proceedings in Theoretical Computer Science, EPTCS
publication_status: published
publisher: Open Publishing Association
publist_id: '7345'
pubrep_id: '952'
quality_controlled: '1'
scopus_import: 1
status: public
title: First cycle 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: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 146
year: '2014'
...
---
_id: '535'
abstract:
- lang: eng
text: Energy games belong to a class of turn-based two-player infinite-duration
games played on a weighted directed graph. It is one of the rare and intriguing
combinatorial problems that lie in NP∩co-NP, but are not known to be in P. The
existence of polynomial-time algorithms has been a major open problem for decades
and apart from pseudopolynomial algorithms there is no algorithm that solves any
non-trivial subclass in polynomial time. In this paper, we give several results
based on the weight structures of the graph. First, we identify a notion of penalty
and present a polynomial-time algorithm when the penalty is large. Our algorithm
is the first polynomial-time algorithm on a large class of weighted graphs. It
includes several worst-case instances on which previous algorithms, such as value
iteration and random facet algorithms, require at least sub-exponential time.
Our main technique is developing the first non-trivial approximation algorithm
and showing how to convert it to an exact algorithm. Moreover, we show that in
a practical case in verification where weights are clustered around a constant
number of values, the energy game problem can be solved in polynomial time. We
also show that the problem is still as hard as in general when the clique-width
is bounded or the graph is strongly ergodic, suggesting that restricting the graph
structure does not necessarily help.
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: Danupon
full_name: Nanongkai, Danupon
last_name: Nanongkai
citation:
ama: Chatterjee K, Henzinger MH, Krinninger S, Nanongkai D. Polynomial-time algorithms
for energy games with special weight structures. Algorithmica. 2014;70(3):457-492.
doi:10.1007/s00453-013-9843-7
apa: Chatterjee, K., Henzinger, M. H., Krinninger, S., & Nanongkai, D. (2014).
Polynomial-time algorithms for energy games with special weight structures. Algorithmica.
Springer. https://doi.org/10.1007/s00453-013-9843-7
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Sebastian Krinninger, and Danupon
Nanongkai. “Polynomial-Time Algorithms for Energy Games with Special Weight Structures.”
Algorithmica. Springer, 2014. https://doi.org/10.1007/s00453-013-9843-7.
ieee: K. Chatterjee, M. H. Henzinger, S. Krinninger, and D. Nanongkai, “Polynomial-time
algorithms for energy games with special weight structures,” Algorithmica,
vol. 70, no. 3. Springer, pp. 457–492, 2014.
ista: Chatterjee K, Henzinger MH, Krinninger S, Nanongkai D. 2014. Polynomial-time
algorithms for energy games with special weight structures. Algorithmica. 70(3),
457–492.
mla: Chatterjee, Krishnendu, et al. “Polynomial-Time Algorithms for Energy Games
with Special Weight Structures.” Algorithmica, vol. 70, no. 3, Springer,
2014, pp. 457–92, doi:10.1007/s00453-013-9843-7.
short: K. Chatterjee, M.H. Henzinger, S. Krinninger, D. Nanongkai, Algorithmica
70 (2014) 457–492.
date_created: 2018-12-11T11:47:01Z
date_published: 2014-11-01T00:00:00Z
date_updated: 2023-09-05T14:09:29Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s00453-013-9843-7
ec_funded: 1
external_id:
arxiv:
- '1604.08234'
intvolume: ' 70'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1604.08234
month: '11'
oa: 1
oa_version: Preprint
page: 457 - 492
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: Algorithmica
publication_status: published
publisher: Springer
publist_id: '7282'
quality_controlled: '1'
related_material:
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scopus_import: '1'
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title: Polynomial-time algorithms for energy games with special weight structures
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 70
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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status: public
title: CEGAR for qualitative analysis of probabilistic systems
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
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- _id: KrCh
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title: CEGAR for qualitative analysis of probabilistic systems
type: technical_report
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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
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...