---
_id: '5377'
abstract:
- lang: eng
text: 'Two-player games on graphs are central in many problems in formal verification
and program analysis such as synthesis and verification of open systems. In this
work we consider solving recursive game graphs (or pushdown game graphs) that
can model the control flow of sequential programs with recursion. While pushdown
games have been studied before with qualitative objectives, such as reachability
and ω-regular objectives, in this work we study for the first time such games
with the most well-studied quantitative objective, namely, mean-payoff objectives.
In pushdown games two types of strategies are relevant: (1) global strategies,
that depend on the entire global history; and (2) modular strategies, that have
only local memory and thus do not depend on the context of invocation, but only
on the history of the current invocation of the module. Our main results are as
follows: (1) One-player pushdown games with mean-payoff objectives under global
strategies are decidable in polynomial time. (2) Two- player pushdown games with
mean-payoff objectives under global strategies are undecidable. (3) One-player
pushdown games with mean-payoff objectives under modular strategies are NP- hard.
(4) Two-player pushdown games with mean-payoff objectives under modular strategies
can be solved in NP (i.e., both one-player and two-player pushdown games with
mean-payoff objectives under modular strategies are NP-complete). We also establish
the optimal strategy complexity showing that global strategies for mean-payoff
objectives require infinite memory even in one-player pushdown games; and memoryless
modular strategies are sufficient in two- player pushdown games. Finally we also
show that all the problems have the same complexity if the stack boundedness condition
is added, where along with the mean-payoff objective the player must also ensure
that the stack height is bounded.'
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: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: Chatterjee K, Velner Y. Mean-Payoff Pushdown Games. IST Austria; 2012.
doi:10.15479/AT:IST-2012-0002
apa: Chatterjee, K., & Velner, Y. (2012). Mean-payoff pushdown games.
IST Austria. https://doi.org/10.15479/AT:IST-2012-0002
chicago: Chatterjee, Krishnendu, and Yaron Velner. Mean-Payoff Pushdown Games.
IST Austria, 2012. https://doi.org/10.15479/AT:IST-2012-0002.
ieee: K. Chatterjee and Y. Velner, Mean-payoff pushdown games. IST Austria,
2012.
ista: Chatterjee K, Velner Y. 2012. Mean-payoff pushdown games, IST Austria, 33p.
mla: Chatterjee, Krishnendu, and Yaron Velner. Mean-Payoff Pushdown Games.
IST Austria, 2012, doi:10.15479/AT:IST-2012-0002.
short: K. Chatterjee, Y. Velner, Mean-Payoff Pushdown Games, IST Austria, 2012.
date_created: 2018-12-12T11:38:59Z
date_published: 2012-07-02T00:00:00Z
date_updated: 2023-02-23T11:05:50Z
day: '02'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2012-0002
file:
- access_level: open_access
checksum: a03c08c1589dbb0c96183a8bcf3ab240
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:00Z
date_updated: 2020-07-14T12:46:38Z
file_id: '5522'
file_name: IST-2012-002_IST-2012-0002.pdf
file_size: 592098
relation: main_file
file_date_updated: 2020-07-14T12:46:38Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '33'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '10'
related_material:
record:
- id: '2956'
relation: later_version
status: public
status: public
title: Mean-payoff pushdown games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '5378'
abstract:
- lang: eng
text: 'One central issue in the formal design and analysis of reactive systems is
the notion of refinement that asks whether all behaviors of the implementation
is allowed by the specification. The local interpretation of behavior leads to
the notion of simulation. Alternating transition systems (ATSs) provide a general
model for composite reactive systems, and the simulation relation for ATSs is
known as alternating simulation. The simulation relation for fair transition systems
is called fair simulation. In this work our main contributions are as follows:
(1) We present an improved algorithm for fair simulation with Büchi fairness constraints;
our algorithm requires O(n3 · m) time as compared to the previous known O(n6)-time
algorithm, where n is the number of states and m is the number of transitions.
(2) We present a game based algorithm for alternating simulation that requires
O(m2)-time as compared to the previous known O((n · m)2)-time algorithm, where
n is the number of states and m is the size of transition relation. (3) We present
an iterative algorithm for alternating simulation that matches the time complexity
of the game based algorithm, but is more space efficient than the game based algorithm.'
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: Siddhesh
full_name: Chaubal, Siddhesh
last_name: Chaubal
- first_name: Pritish
full_name: Kamath, Pritish
last_name: Kamath
citation:
ama: Chatterjee K, Chaubal S, Kamath P. Faster Algorithms for Alternating Refinement
Relations. IST Austria; 2012. doi:10.15479/AT:IST-2012-0001
apa: Chatterjee, K., Chaubal, S., & Kamath, P. (2012). Faster algorithms
for alternating refinement relations. IST Austria. https://doi.org/10.15479/AT:IST-2012-0001
chicago: Chatterjee, Krishnendu, Siddhesh Chaubal, and Pritish Kamath. Faster
Algorithms for Alternating Refinement Relations. IST Austria, 2012. https://doi.org/10.15479/AT:IST-2012-0001.
ieee: K. Chatterjee, S. Chaubal, and P. Kamath, Faster algorithms for alternating
refinement relations. IST Austria, 2012.
ista: Chatterjee K, Chaubal S, Kamath P. 2012. Faster algorithms for alternating
refinement relations, IST Austria, 21p.
mla: Chatterjee, Krishnendu, et al. Faster Algorithms for Alternating Refinement
Relations. IST Austria, 2012, doi:10.15479/AT:IST-2012-0001.
short: K. Chatterjee, S. Chaubal, P. Kamath, Faster Algorithms for Alternating Refinement
Relations, IST Austria, 2012.
date_created: 2018-12-12T11:38:59Z
date_published: 2012-07-04T00:00:00Z
date_updated: 2023-02-23T12:21:38Z
day: '04'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2012-0001
file:
- access_level: open_access
checksum: ec8d1857cc7095d3de5107a0162ced37
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:28Z
date_updated: 2020-07-14T12:46:39Z
file_id: '5489'
file_name: IST-2012-0001_IST-2012-0001.pdf
file_size: 394256
relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '21'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '14'
related_material:
record:
- id: '497'
relation: later_version
status: public
status: public
title: Faster algorithms for alternating refinement relations
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '2955'
abstract:
- lang: eng
text: 'We consider two-player stochastic games played on finite graphs with 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 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, the players (a) may not be allowed to use randomization (pure strategies),
or (b) may choose a probability distribution over actions but the actual random
choice is external and not visible to the player (actions invisible), or (c) may
use full randomization. Our main results for pure strategies are as follows. (1)
For one-sided games with player 1 having partial 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 almostsure 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. (2) For one-sided games with player 2 having partial observation
we show that non-elementary memory 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 non-elementary 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 exhibits serious flaws in previous
results of the literature: we show a non-elementary memory lower bound for almost-sure
winning whereas an exponential upper bound was previously claimed.'
acknowledgement: 'This work was partially supported by FWF Grant No P 23499-N23, FWF
NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft
faculty fellows award.'
article_number: '6280436'
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. In: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on
Logic in Computer Science. IEEE; 2012. doi:10.1109/LICS.2012.28'
apa: 'Chatterjee, K., & Doyen, L. (2012). Partial-observation stochastic games:
How to win when belief fails. In Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science. Dubrovnik, Croatia: IEEE. https://doi.org/10.1109/LICS.2012.28'
chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic
Games: How to Win When Belief Fails.” In Proceedings of the 2012 27th Annual
ACM/IEEE Symposium on Logic in Computer Science. IEEE, 2012. https://doi.org/10.1109/LICS.2012.28.'
ieee: 'K. Chatterjee and L. Doyen, “Partial-observation stochastic games: How to
win when belief fails,” in Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science, Dubrovnik, Croatia, 2012.'
ista: 'Chatterjee K, Doyen L. 2012. Partial-observation stochastic games: How to
win when belief fails. Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science. LICS: Logic in Computer Science, 6280436.'
mla: 'Chatterjee, Krishnendu, and Laurent Doyen. “Partial-Observation Stochastic
Games: How to Win When Belief Fails.” Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science, 6280436, IEEE, 2012, doi:10.1109/LICS.2012.28.'
short: K. Chatterjee, L. Doyen, in:, Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science, IEEE, 2012.
conference:
end_date: 2012-06-28
location: Dubrovnik, Croatia
name: 'LICS: Logic in Computer Science'
start_date: 2012-06-25
date_created: 2018-12-11T12:00:32Z
date_published: 2012-08-23T00:00:00Z
date_updated: 2023-02-23T12:23:43Z
day: '23'
department:
- _id: KrCh
doi: 10.1109/LICS.2012.28
ec_funded: 1
external_id:
arxiv:
- '1107.2141'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2141
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _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: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer
Science
publication_status: published
publisher: IEEE
publist_id: '3771'
quality_controlled: '1'
related_material:
record:
- id: '2211'
relation: later_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: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...
---
_id: '3341'
abstract:
- lang: eng
text: 'We consider two-player stochastic games played on a finite state space for
an infinite number of rounds. The games are concurrent: 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 a probability distribution over
the successor states. We also consider the important special case of turn-based
stochastic games where players make moves in turns, rather than concurrently.
We study concurrent games with \omega-regular winning conditions specified as
parity objectives. The value for player 1 for a parity objective is the maximal
probability with which the player can guarantee the satisfaction of the objective
against all strategies of the opponent. We study the problem of continuity and
robustness of the value function in concurrent and turn-based stochastic parity
gameswith respect to imprecision in the transition probabilities. We present quantitative
bounds on the difference of the value function (in terms of the imprecision of
the transition probabilities) and show the value continuity for structurally equivalent
concurrent games (two games are structurally equivalent if the support of the
transition function is same and the probabilities differ). We also show robustness
of optimal strategies for structurally equivalent turn-based stochastic parity
games. Finally we show that the value continuity property breaks without the structurally
equivalent assumption (even for Markov chains) and show that our quantitative
bound is asymptotically optimal. Hence our results are tight (the assumption is
both necessary and sufficient) and optimal (our quantitative bound is asymptotically
optimal).'
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. Robustness of structurally equivalent concurrent parity games.
In: Vol 7213. Springer; 2012:270-285. doi:10.1007/978-3-642-28729-9_18'
apa: 'Chatterjee, K. (2012). Robustness of structurally equivalent concurrent parity
games (Vol. 7213, pp. 270–285). Presented at the FoSSaCS: Foundations of Software
Science and Computation Structures, Tallinn, Estonia: Springer. https://doi.org/10.1007/978-3-642-28729-9_18'
chicago: Chatterjee, Krishnendu. “Robustness of Structurally Equivalent Concurrent
Parity Games,” 7213:270–85. Springer, 2012. https://doi.org/10.1007/978-3-642-28729-9_18.
ieee: 'K. Chatterjee, “Robustness of structurally equivalent concurrent parity games,”
presented at the FoSSaCS: Foundations of Software Science and Computation Structures,
Tallinn, Estonia, 2012, vol. 7213, pp. 270–285.'
ista: 'Chatterjee K. 2012. Robustness of structurally equivalent concurrent parity
games. FoSSaCS: Foundations of Software Science and Computation Structures, LNCS,
vol. 7213, 270–285.'
mla: Chatterjee, Krishnendu. Robustness of Structurally Equivalent Concurrent
Parity Games. Vol. 7213, Springer, 2012, pp. 270–85, doi:10.1007/978-3-642-28729-9_18.
short: K. Chatterjee, in:, Springer, 2012, pp. 270–285.
conference:
end_date: 2012-04-01
location: Tallinn, Estonia
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2012-03-24
date_created: 2018-12-11T12:02:46Z
date_published: 2012-03-22T00:00:00Z
date_updated: 2023-02-23T12:23:46Z
day: '22'
department:
- _id: KrCh
doi: 10.1007/978-3-642-28729-9_18
ec_funded: 1
external_id:
arxiv:
- '1107.2009'
intvolume: ' 7213'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2009
month: '03'
oa: 1
oa_version: Preprint
page: 270 - 285
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _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: '3284'
quality_controlled: '1'
related_material:
record:
- id: '5382'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Robustness of structurally equivalent concurrent parity games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7213
year: '2012'
...
---
_id: '2957'
abstract:
- lang: eng
text: 'We consider probabilistic automata on infinite words with acceptance defined
by parity conditions. We consider three qualitative decision problems: (i) the
positive decision problem asks whether there is a word that is accepted with positive
probability; (ii) the almost decision problem asks whether there is a word that
is accepted with probability 1; and (iii) the limit decision problem asks whether
words are accepted with probability arbitrarily close to 1. We unify and generalize
several decidability results for probabilistic automata over infinite words, and
identify a robust (closed under union and intersection) subclass of probabilistic
automata for which all the qualitative decision problems are decidable for parity
conditions. We also show that if the input words are restricted to lasso shape
(regular) words, then the positive and almost problems are decidable for all probabilistic
automata with parity conditions. For most decidable problems we show an optimal
PSPACE-complete complexity bound.'
article_number: '6280437'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Mathieu
full_name: Tracol, Mathieu
id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
last_name: Tracol
citation:
ama: 'Chatterjee K, Tracol M. Decidable problems for probabilistic automata on infinite
words. In: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic
in Computer Science. IEEE; 2012. doi:10.1109/LICS.2012.29'
apa: 'Chatterjee, K., & Tracol, M. (2012). Decidable problems for probabilistic
automata on infinite words. In Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science. Dubrovnik, Croatia : IEEE. https://doi.org/10.1109/LICS.2012.29'
chicago: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic
Automata on Infinite Words.” In Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science. IEEE, 2012. https://doi.org/10.1109/LICS.2012.29.
ieee: K. Chatterjee and M. Tracol, “Decidable problems for probabilistic automata
on infinite words,” in Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science, Dubrovnik, Croatia , 2012.
ista: 'Chatterjee K, Tracol M. 2012. Decidable problems for probabilistic automata
on infinite words. Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic
in Computer Science. LICS: Logic in Computer Science, 6280437.'
mla: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic
Automata on Infinite Words.” Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science, 6280437, IEEE, 2012, doi:10.1109/LICS.2012.29.
short: K. Chatterjee, M. Tracol, in:, Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science, IEEE, 2012.
conference:
end_date: 2012-06-28
location: 'Dubrovnik, Croatia '
name: 'LICS: Logic in Computer Science'
start_date: 2012-06-25
date_created: 2018-12-11T12:00:33Z
date_published: 2012-08-23T00:00:00Z
date_updated: 2023-02-23T12:23:51Z
day: '23'
department:
- _id: KrCh
doi: 10.1109/LICS.2012.29
ec_funded: 1
external_id:
arxiv:
- '1107.2091'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1107.2091
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _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: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer
Science
publication_status: published
publisher: IEEE
publist_id: '3769'
quality_controlled: '1'
related_material:
record:
- id: '5384'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Decidable problems for probabilistic automata on infinite words
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...