---
_id: '3357'
abstract:
- lang: eng
text: We consider two-player graph games whose objectives are request-response condition,
i.e conjunctions of conditions of the form "if a state with property Rq is visited,
then later a state with property Rp is visited". The winner of such games can
be decided in EXPTIME and the problem is known to be NP-hard. In this paper, we
close this gap by showing that this problem is, in fact, EXPTIME-complete. We
show that the problem becomes PSPACE-complete if we only consider games played
on DAGs, and NP-complete or PTIME-complete if there is only one player (depending
on whether he wants to enforce or spoil the request-response condition). We also
present near-optimal bounds on the memory needed to design winning strategies
for each player, in each case.
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: 'Chatterjee K, Henzinger TA, Horn F. The complexity of request-response games.
In: Dediu A-H, Inenaga S, Martín-Vide C, eds. Vol 6638. Springer; 2011:227-237.
doi:10.1007/978-3-642-21254-3_17'
apa: 'Chatterjee, K., Henzinger, T. A., & Horn, F. (2011). The complexity of
request-response games. In A.-H. Dediu, S. Inenaga, & C. Martín-Vide (Eds.)
(Vol. 6638, pp. 227–237). Presented at the LATA: Language and Automata Theory
and Applications, Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_17'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “The Complexity
of Request-Response Games.” edited by Adrian-Horia Dediu, Shunsuke Inenaga, and
Carlos Martín-Vide, 6638:227–37. Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_17.
ieee: 'K. Chatterjee, T. A. Henzinger, and F. Horn, “The complexity of request-response
games,” presented at the LATA: Language and Automata Theory and Applications,
Tarragona, Spain, 2011, vol. 6638, pp. 227–237.'
ista: 'Chatterjee K, Henzinger TA, Horn F. 2011. The complexity of request-response
games. LATA: Language and Automata Theory and Applications, LNCS, vol. 6638, 227–237.'
mla: Chatterjee, Krishnendu, et al. The Complexity of Request-Response Games.
Edited by Adrian-Horia Dediu et al., vol. 6638, Springer, 2011, pp. 227–37, doi:10.1007/978-3-642-21254-3_17.
short: K. Chatterjee, T.A. Henzinger, F. Horn, in:, A.-H. Dediu, S. Inenaga, C.
Martín-Vide (Eds.), Springer, 2011, pp. 227–237.
conference:
end_date: 2011-05-31
location: Tarragona, Spain
name: 'LATA: Language and Automata Theory and Applications'
start_date: 2011-05-26
date_created: 2018-12-11T12:02:52Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:54Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-21254-3_17
editor:
- first_name: Adrian-Horia
full_name: Dediu, Adrian-Horia
last_name: Dediu
- first_name: Shunsuke
full_name: Inenaga, Shunsuke
last_name: Inenaga
- first_name: Carlos
full_name: Martín-Vide, Carlos
last_name: Martín-Vide
intvolume: ' 6638'
language:
- iso: eng
month: '01'
oa_version: None
page: 227 - 237
publication_status: published
publisher: Springer
publist_id: '3258'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of request-response games
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6638
year: '2011'
...
---
_id: '489'
abstract:
- lang: eng
text: 'Graph games of infinite length are a natural model for open reactive processes:
one player represents the controller, trying to ensure a given specification,
and the other represents a hostile environment. The evolution of the system depends
on the decisions of both players, supplemented by chance. In this work, we focus
on the notion of randomised strategy. More specifically, we show that three natural
definitions may lead to very different results: in the most general cases, an
almost-surely winning situation may become almost-surely losing if the player
is only allowed to use a weaker notion of strategy. In more reasonable settings,
translations exist, but they require infinite memory, even in simple cases. Finally,
some traditional problems becomes undecidable for the strongest type of strategies.'
alternative_title:
- EPTCS
author:
- first_name: Julien
full_name: Cristau, Julien
last_name: Cristau
- first_name: Claire
full_name: David, Claire
last_name: David
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: 'Cristau J, David C, Horn F. How do we remember the past in randomised strategies?
. In: Proceedings of GandALF 2010. Vol 25. Open Publishing Association;
2010:30-39. doi:10.4204/EPTCS.25.7'
apa: 'Cristau, J., David, C., & Horn, F. (2010). How do we remember the past
in randomised strategies? . In Proceedings of GandALF 2010 (Vol. 25, pp.
30–39). Minori, Amalfi Coast, Italy: Open Publishing Association. https://doi.org/10.4204/EPTCS.25.7'
chicago: Cristau, Julien, Claire David, and Florian Horn. “How Do We Remember the
Past in Randomised Strategies? .” In Proceedings of GandALF 2010, 25:30–39.
Open Publishing Association, 2010. https://doi.org/10.4204/EPTCS.25.7.
ieee: J. Cristau, C. David, and F. Horn, “How do we remember the past in randomised
strategies? ,” in Proceedings of GandALF 2010, Minori, Amalfi Coast, Italy,
2010, vol. 25, pp. 30–39.
ista: 'Cristau J, David C, Horn F. 2010. How do we remember the past in randomised
strategies? . Proceedings of GandALF 2010. GandALF: Games, Automata, Logic, and
Formal Verification, EPTCS, vol. 25, 30–39.'
mla: Cristau, Julien, et al. “How Do We Remember the Past in Randomised Strategies?
.” Proceedings of GandALF 2010, vol. 25, Open Publishing Association, 2010,
pp. 30–39, doi:10.4204/EPTCS.25.7.
short: J. Cristau, C. David, F. Horn, in:, Proceedings of GandALF 2010, Open Publishing
Association, 2010, pp. 30–39.
conference:
end_date: 2010-06-18
location: Minori, Amalfi Coast, Italy
name: 'GandALF: Games, Automata, Logic, and Formal Verification'
start_date: 2010-06-17
date_created: 2018-12-11T11:46:45Z
date_published: 2010-06-09T00:00:00Z
date_updated: 2021-01-12T08:01:01Z
day: '09'
department:
- _id: KrCh
doi: 10.4204/EPTCS.25.7
intvolume: ' 25'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1006.1404v1
month: '06'
oa: 1
oa_version: Published Version
page: 30 - 39
publication: Proceedings of GandALF 2010
publication_status: published
publisher: Open Publishing Association
publist_id: '7332'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'How do we remember the past in randomised strategies? '
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 25
year: '2010'
...
---
_id: '3854'
abstract:
- lang: eng
text: 'Graph games of infinite length provide a natural model for open reactive
systems: one player (Eve) represents the controller and the other player (Adam)
represents the environment. The evolution of the system depends on the decisions
of both players. The specification for the system is usually given as an ω-regular
language L over paths and Eve’s goal is to ensure that the play belongs to L irrespective
of Adam’s behaviour. The classical notion of winning strategies fails to capture
several interesting scenarios. For example, strong fairness (Streett) conditions
are specified by a number of request-grant pairs and require every pair that is
requested infinitely often to be granted infinitely often: Eve might win just
by preventing Adam from making any new request, but a “better” strategy would
allow Adam to make as many requests as possible and still ensure fairness. To
address such questions, we introduce the notion of obliging games, where Eve has
to ensure a strong condition Φ, while always allowing Adam to satisfy a weak condition
Ψ. We present a linear time reduction of obliging games with two Muller conditions
Φ and Ψ to classical Muller games. We consider obliging Streett games and show
they are co-NP complete, and show a natural quantitative optimisation problem
for obliging Streett games is in FNP. We also show how obliging games can provide
new and interesting semantics for multi-player 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
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
- first_name: Christof
full_name: Löding, Christof
last_name: Löding
citation:
ama: 'Chatterjee K, Horn F, Löding C. Obliging games. In: Vol 6269. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2010:284-296. doi:10.1007/978-3-642-15375-4_20'
apa: 'Chatterjee, K., Horn, F., & Löding, C. (2010). Obliging games (Vol. 6269,
pp. 284–296). Presented at the CONCUR: Concurrency Theory, Paris, France: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.1007/978-3-642-15375-4_20'
chicago: Chatterjee, Krishnendu, Florian Horn, and Christof Löding. “Obliging Games,”
6269:284–96. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010. https://doi.org/10.1007/978-3-642-15375-4_20.
ieee: 'K. Chatterjee, F. Horn, and C. Löding, “Obliging games,” presented at the
CONCUR: Concurrency Theory, Paris, France, 2010, vol. 6269, pp. 284–296.'
ista: 'Chatterjee K, Horn F, Löding C. 2010. Obliging games. CONCUR: Concurrency
Theory, LNCS, vol. 6269, 284–296.'
mla: Chatterjee, Krishnendu, et al. Obliging Games. Vol. 6269, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2010, pp. 284–96, doi:10.1007/978-3-642-15375-4_20.
short: K. Chatterjee, F. Horn, C. Löding, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2010, pp. 284–296.
conference:
end_date: 2010-09-03
location: Paris, France
name: 'CONCUR: Concurrency Theory'
start_date: 2010-08-31
date_created: 2018-12-11T12:05:32Z
date_published: 2010-09-08T00:00:00Z
date_updated: 2021-01-12T07:52:41Z
day: '08'
department:
- _id: KrCh
doi: 10.1007/978-3-642-15375-4_20
intvolume: ' 6269'
language:
- iso: eng
month: '09'
oa_version: None
page: 284 - 296
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '2327'
quality_controlled: '1'
scopus_import: 1
status: public
title: Obliging games
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6269
year: '2010'
...
---
_id: '5394'
abstract:
- lang: eng
text: We consider two-player games played on graphs with request-response and finitary
Streett objectives. We show these games are PSPACE-hard, improving the previous
known NP-hardness. We also improve the lower bounds on memory required by the
winning strategies for the players.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: Chatterjee K, Henzinger TA, Horn F. Improved Lower Bounds for Request-Response
and Finitary Streett Games. IST Austria; 2009. doi:10.15479/AT:IST-2009-0002
apa: Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Improved lower
bounds for request-response and finitary Streett games. IST Austria. https://doi.org/10.15479/AT:IST-2009-0002
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. Improved
Lower Bounds for Request-Response and Finitary Streett Games. IST Austria,
2009. https://doi.org/10.15479/AT:IST-2009-0002.
ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, Improved lower bounds for
request-response and finitary Streett games. IST Austria, 2009.
ista: Chatterjee K, Henzinger TA, Horn F. 2009. Improved lower bounds for request-response
and finitary Streett games, IST Austria, 11p.
mla: Chatterjee, Krishnendu, et al. Improved Lower Bounds for Request-Response
and Finitary Streett Games. IST Austria, 2009, doi:10.15479/AT:IST-2009-0002.
short: K. Chatterjee, T.A. Henzinger, F. Horn, Improved Lower Bounds for Request-Response
and Finitary Streett Games, IST Austria, 2009.
date_created: 2018-12-12T11:39:05Z
date_published: 2009-09-09T00:00:00Z
date_updated: 2020-07-14T23:07:47Z
day: '09'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0002
file:
- access_level: open_access
checksum: 1c50a9723fbae1b2c46d18138968efb3
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:50Z
date_updated: 2020-07-14T12:46:43Z
file_id: '5511'
file_name: IST-2009-0002_IST-2009-0002.pdf
file_size: 238091
relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '11'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '30'
status: public
title: Improved lower bounds for request-response and finitary Streett games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '3870'
abstract:
- lang: eng
text: Games on graphs with omega-regular objectives provide a model for the control
and synthesis of reactive systems. Every omega-regular objective can be decomposed
into a safety part and a liveness part. The liveness part ensures that something
good happens “eventually.” Two main strengths of the classical, infinite-limit
formulation of liveness are robustness (independence from the granularity of transitions)
and simplicity (abstraction of complicated time bounds). However, the classical
liveness formulation suffers from the drawback that the time until something good
happens may be unbounded. A stronger formulation of liveness, so-called finitary
liveness, overcomes this drawback, while still retaining robustness and simplicity.
Finitary liveness requires that there exists an unknown, fixed bound b such that
something good happens within b transitions. While for one-shot liveness (reachability)
objectives, classical and finitary liveness coincide, for repeated liveness (Buchi)
objectives, the finitary formulation is strictly stronger. In this work we study
games with finitary parity and Streett objectives. We prove the determinacy of
these games, present algorithms for solving these games, and characterize the
memory requirements of winning strategies. We show that finitary parity games
can be solved in polynomial time, which is not known for infinitary parity games.
For finitary Streett games, we give an EXPTIME algorithm and show that the problem
is NP-hard. Our algorithms can be used, for example, for synthesizing controllers
that do not let the response time of a system increase without bound.
acknowledgement: "This research was supported in part by the AFOSR MURI grant F49620-00-1-0327,
the NSF grants CCR-0132780, CNS-0720884, and CCR- 225610, by the Swiss National
Science Foundation, by the COMBEST project of the European Union, and EU-TMR network
Games.\r\nWe thank anonymous reviewers for useful comments."
article_number: '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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: Chatterjee K, Henzinger TA, Horn F. Finitary winning in omega-regular games.
ACM Transactions on Computational Logic (TOCL). 2009;11(1). doi:10.1145/1614431.1614432
apa: Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Finitary winning in
omega-regular games. ACM Transactions on Computational Logic (TOCL). ACM.
https://doi.org/10.1145/1614431.1614432
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Finitary
Winning in Omega-Regular Games.” ACM Transactions on Computational Logic (TOCL).
ACM, 2009. https://doi.org/10.1145/1614431.1614432.
ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, “Finitary winning in omega-regular
games,” ACM Transactions on Computational Logic (TOCL), vol. 11, no. 1.
ACM, 2009.
ista: Chatterjee K, Henzinger TA, Horn F. 2009. Finitary winning in omega-regular
games. ACM Transactions on Computational Logic (TOCL). 11(1), 1.
mla: Chatterjee, Krishnendu, et al. “Finitary Winning in Omega-Regular Games.” ACM
Transactions on Computational Logic (TOCL), vol. 11, no. 1, 1, ACM, 2009,
doi:10.1145/1614431.1614432.
short: K. Chatterjee, T.A. Henzinger, F. Horn, ACM Transactions on Computational
Logic (TOCL) 11 (2009).
date_created: 2018-12-11T12:05:37Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2021-01-12T07:52:50Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/1614431.1614432
ec_funded: 1
file:
- access_level: open_access
checksum: 139c4586d24f11e5da31fb3a0cf96ef4
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:08Z
date_updated: 2020-07-14T12:46:20Z
file_id: '5125'
file_name: IST-2012-53-v1+1_Finitary_winning_in_omega-regular_games.pdf
file_size: 180082
relation: main_file
file_date_updated: 2020-07-14T12:46:20Z
has_accepted_license: '1'
intvolume: ' 11'
issue: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication: ACM Transactions on Computational Logic (TOCL)
publication_status: published
publisher: ACM
publist_id: '2309'
pubrep_id: '53'
quality_controlled: '1'
scopus_import: 1
status: public
title: Finitary winning in omega-regular games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2009'
...
---
_id: '4543'
abstract:
- lang: eng
text: The synthesis of a reactive system with respect to all omega-regular specification
requires the solution of a graph game. Such games have been extended in two natural
ways. First, a game graph can be equipped with probabilistic choices between alternative
transitions, thus allowing the, modeling of uncertain behaviour. These are called
stochastic games. Second, a liveness specification can he strengthened to require
satisfaction within all unknown but bounded amount of time. These are called finitary
objectives. We study. for the first time, the, combination of Stochastic games
and finitary objectives. We characterize the requirements on optimal strategies
and provide algorithms for Computing the maximal achievable probability of winning
stochastic games with finitary parity or Street, objectives. Most notably the
set of state's from which a player can win with probability . for a finitary parity
objective can he computed in polynomial time even though no polynomial-time algorithm
is known in the nonfinitary case.
acknowledgement: This research was supported in part by the Swiss National Science
Foundation under the Indo-Swiss Joint Research Programme, by the European Network
of Excellence on Embedded Systems Design (ArtistDesign), and by the European project
Combest.
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: 'Chatterjee K, Henzinger TA, Horn F. Stochastic games with finitary objectives.
In: Vol 5734. Springer; 2009:34-54. doi:10.1007/978-3-642-03816-7_4'
apa: 'Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Stochastic games
with finitary objectives (Vol. 5734, pp. 34–54). Presented at the MFCS: Mathematical
Foundations of Computer Science, High Tatras, Slovakia: Springer. https://doi.org/10.1007/978-3-642-03816-7_4'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Stochastic
Games with Finitary Objectives,” 5734:34–54. Springer, 2009. https://doi.org/10.1007/978-3-642-03816-7_4.
ieee: 'K. Chatterjee, T. A. Henzinger, and F. Horn, “Stochastic games with finitary
objectives,” presented at the MFCS: Mathematical Foundations of Computer Science,
High Tatras, Slovakia, 2009, vol. 5734, pp. 34–54.'
ista: 'Chatterjee K, Henzinger TA, Horn F. 2009. Stochastic games with finitary
objectives. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 5734,
34–54.'
mla: Chatterjee, Krishnendu, et al. Stochastic Games with Finitary Objectives.
Vol. 5734, Springer, 2009, pp. 34–54, doi:10.1007/978-3-642-03816-7_4.
short: K. Chatterjee, T.A. Henzinger, F. Horn, in:, Springer, 2009, pp. 34–54.
conference:
end_date: 2009-08-28
location: High Tatras, Slovakia
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2009-08-24
date_created: 2018-12-11T12:09:24Z
date_published: 2009-08-01T00:00:00Z
date_updated: 2021-01-12T07:59:35Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-642-03816-7_4
ec_funded: 1
intvolume: ' 5734'
language:
- iso: eng
month: '08'
oa_version: None
page: 34 - 54
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '178'
quality_controlled: '1'
scopus_import: 1
status: public
title: Stochastic games with finitary objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5734
year: '2009'
...