---
_id: '3857'
abstract:
- lang: eng
  text: We consider probabilistic automata on infinite words with acceptance defined
    by safety, reachability, Büchi, coBüchi, and limit-average conditions. We consider
    quantitative and qualitative decision problems. We present extensions and adaptations
    of proofs for probabilistic finite automata and present an almost complete characterization
    of the decidability and undecidability frontier of the quantitative and qualitative
    decision problems for probabilistic automata on infinite words.
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
citation:
  ama: 'Chatterjee K, Henzinger TA. Probabilistic Automata on infinite words: decidability
    and undecidability results. In: Vol 6252. Springer; 2010:1-16. doi:<a href="https://doi.org/10.1007/978-3-642-15643-4_1">10.1007/978-3-642-15643-4_1</a>'
  apa: 'Chatterjee, K., &#38; Henzinger, T. A. (2010). Probabilistic Automata on infinite
    words: decidability and undecidability results (Vol. 6252, pp. 1–16). Presented
    at the ATVA: Automated Technology for Verification and Analysis, Singapore, Singapore:
    Springer. <a href="https://doi.org/10.1007/978-3-642-15643-4_1">https://doi.org/10.1007/978-3-642-15643-4_1</a>'
  chicago: 'Chatterjee, Krishnendu, and Thomas A Henzinger. “Probabilistic Automata
    on Infinite Words: Decidability and Undecidability Results,” 6252:1–16. Springer,
    2010. <a href="https://doi.org/10.1007/978-3-642-15643-4_1">https://doi.org/10.1007/978-3-642-15643-4_1</a>.'
  ieee: 'K. Chatterjee and T. A. Henzinger, “Probabilistic Automata on infinite words:
    decidability and undecidability results,” presented at the ATVA: Automated Technology
    for Verification and Analysis, Singapore, Singapore, 2010, vol. 6252, pp. 1–16.'
  ista: 'Chatterjee K, Henzinger TA. 2010. Probabilistic Automata on infinite words:
    decidability and undecidability results. ATVA: Automated Technology for Verification
    and Analysis, LNCS, vol. 6252, 1–16.'
  mla: 'Chatterjee, Krishnendu, and Thomas A. Henzinger. <i>Probabilistic Automata
    on Infinite Words: Decidability and Undecidability Results</i>. Vol. 6252, Springer,
    2010, pp. 1–16, doi:<a href="https://doi.org/10.1007/978-3-642-15643-4_1">10.1007/978-3-642-15643-4_1</a>.'
  short: K. Chatterjee, T.A. Henzinger, in:, Springer, 2010, pp. 1–16.
conference:
  end_date: 2010-09-24
  location: Singapore, Singapore
  name: 'ATVA: Automated Technology for Verification and Analysis'
  start_date: 2010-09-21
corr_author: '1'
date_created: 2018-12-11T12:05:33Z
date_published: 2010-10-12T00:00:00Z
date_updated: 2024-10-09T21:08:23Z
day: '12'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-15643-4_1
ec_funded: 1
intvolume: '      6252'
language:
- iso: eng
month: '10'
oa_version: None
page: 1 - 16
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: '2324'
pubrep_id: '28'
quality_controlled: '1'
related_material:
  record:
  - id: '5392'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: 'Probabilistic Automata on infinite words: decidability and undecidability
  results'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6252
year: '2010'
...
---
_id: '3858'
abstract:
- lang: eng
  text: 'We consider two-player zero-sum games on graphs. On the basis of the information
    available to the players these games can be classified as follows: (a) partial-observation
    (both players have partial view of the game); (b) one-sided partial-observation
    (one player has partial-observation and the other player has complete-observation);
    and (c) complete-observation (both players have com- plete view of the game).
    We survey the complexity results for the problem of de- ciding the winner in various
    classes of partial-observation games with ω-regular winning conditions specified
    as parity objectives. We present a reduction from the class of parity objectives
    that depend on sequence of states of the game to the sub-class of parity objectives
    that only depend on the sequence of observations. We also establish that partial-observation
    acyclic games are PSPACE-complete.'
alternative_title:
- LNCS
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. The complexity of partial-observation parity games.
    In: Vol 6397. Springer; 2010:1-14. doi:<a href="https://doi.org/10.1007/978-3-642-16242-8_1">10.1007/978-3-642-16242-8_1</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2010). The complexity of partial-observation
    parity games (Vol. 6397, pp. 1–14). Presented at the LPAR: Logic for Programming,
    Artificial Intelligence, and Reasoning, Yogyakarta, Indonesia: Springer. <a href="https://doi.org/10.1007/978-3-642-16242-8_1">https://doi.org/10.1007/978-3-642-16242-8_1</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “The Complexity of Partial-Observation
    Parity Games,” 6397:1–14. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-16242-8_1">https://doi.org/10.1007/978-3-642-16242-8_1</a>.
  ieee: 'K. Chatterjee and L. Doyen, “The complexity of partial-observation parity
    games,” presented at the LPAR: Logic for Programming, Artificial Intelligence,
    and Reasoning, Yogyakarta, Indonesia, 2010, vol. 6397, pp. 1–14.'
  ista: 'Chatterjee K, Doyen L. 2010. The complexity of partial-observation parity
    games. LPAR: Logic for Programming, Artificial Intelligence, and Reasoning, LNCS,
    vol. 6397, 1–14.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>The Complexity of Partial-Observation
    Parity Games</i>. Vol. 6397, Springer, 2010, pp. 1–14, doi:<a href="https://doi.org/10.1007/978-3-642-16242-8_1">10.1007/978-3-642-16242-8_1</a>.
  short: K. Chatterjee, L. Doyen, in:, Springer, 2010, pp. 1–14.
conference:
  end_date: 2010-10-15
  location: Yogyakarta, Indonesia
  name: 'LPAR: Logic for Programming, Artificial Intelligence, and Reasoning'
  start_date: 2010-10-10
corr_author: '1'
date_created: 2018-12-11T12:05:33Z
date_published: 2010-12-09T00:00:00Z
date_updated: 2025-09-30T09:34:35Z
day: '09'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-642-16242-8_1
external_id:
  isi:
  - '000288062700001'
file:
- access_level: open_access
  checksum: 770e86e5d78c56fddb4786a8da7ef126
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-19T16:29:04Z
  date_updated: 2020-07-14T12:46:18Z
  file_id: '7872'
  file_name: 2010_LPAR_Chatterjee.pdf
  file_size: 142836
  relation: main_file
file_date_updated: 2020-07-14T12:46:18Z
has_accepted_license: '1'
intvolume: '      6397'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
page: 1 - 14
publication_status: published
publisher: Springer
publist_id: '2323'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of partial-observation parity games
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 6397
year: '2010'
...
---
_id: '3859'
abstract:
- lang: eng
  text: This book constitutes the proceedings of the 8th International Conference
    on Formal Modeling and Analysis of Timed Systems, FORMATS 2010, held in Klosterneuburg,
    Austria in September 2010. The 14 papers presented were carefully reviewed and
    selected from 31 submissions. In addition, the volume contains 3 invited talks
    and 2 invited tutorials.The aim of FORMATS is to promote the study of fundamental
    and practical aspects of timed systems, and to bring together researchers from
    different disciplines that share an interest in the modeling and analysis of timed
    systems. Typical topics include foundations and semantics, methods and tools,
    and applications.
alternative_title:
- LNCS
citation:
  ama: Chatterjee K, Henzinger TA, eds. <i>Formal Modeling and Analysis of Timed Systems</i>.
    Vol 6246. Springer; 2010. doi:<a href="https://doi.org/10.1007/978-3-642-15297-9">10.1007/978-3-642-15297-9</a>
  apa: 'Chatterjee, K., &#38; Henzinger, T. A. (Eds.). (2010). <i>Formal modeling
    and analysis of timed systems</i> (Vol. 6246). Presented at the FORMATS: Formal
    Modeling and Analysis of Timed Systems, Klosterneuburg, Austria: Springer. <a
    href="https://doi.org/10.1007/978-3-642-15297-9">https://doi.org/10.1007/978-3-642-15297-9</a>'
  chicago: Chatterjee, Krishnendu, and Thomas A Henzinger, eds. <i>Formal Modeling
    and Analysis of Timed Systems</i>. Vol. 6246. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15297-9">https://doi.org/10.1007/978-3-642-15297-9</a>.
  ieee: K. Chatterjee and T. A. Henzinger, Eds., <i>Formal modeling and analysis of
    timed systems</i>, vol. 6246. Springer, 2010.
  ista: Chatterjee K, Henzinger TA eds. 2010. Formal modeling and analysis of timed
    systems, Springer,p.
  mla: Chatterjee, Krishnendu, and Thomas A. Henzinger, editors. <i>Formal Modeling
    and Analysis of Timed Systems</i>. Vol. 6246, Springer, 2010, doi:<a href="https://doi.org/10.1007/978-3-642-15297-9">10.1007/978-3-642-15297-9</a>.
  short: K. Chatterjee, T.A. Henzinger, eds., Formal Modeling and Analysis of Timed
    Systems, Springer, 2010.
conference:
  end_date: 2010-09-10
  location: Klosterneuburg, Austria
  name: 'FORMATS: Formal Modeling and Analysis of Timed Systems'
  start_date: 2010-09-08
corr_author: '1'
date_created: 2018-12-11T12:05:33Z
date_published: 2010-09-20T00:00:00Z
date_updated: 2024-10-09T20:54:05Z
day: '20'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-15297-9
editor:
- 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
intvolume: '      6246'
language:
- iso: eng
month: '09'
oa_version: None
publication_status: published
publisher: Springer
publist_id: '2322'
quality_controlled: '1'
related_material:
  link:
  - description: eBook available via IST BookList
    relation: other
    url: https://koha.app.ist.ac.at/cgi-bin/koha/opac-detail.pl?biblionumber=12721
status: public
title: Formal modeling and analysis of timed systems
type: conference_editor
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 6246
year: '2010'
...
---
_id: '3860'
abstract:
- lang: eng
  text: 'In mean-payoff games, the objective of the protagonist is to ensure that
    the limit average of an infinite sequence of numeric weights is nonnegative. In
    energy games, the objective is to ensure that the running sum of weights is always
    nonnegative. Generalized mean-payoff and energy games replace individual weights
    by tuples, and the limit average (resp. running sum) of each coordinate must be
    (resp. remain) nonnegative. These games have applications in the synthesis of
    resource-bounded processes with multiple resources. We prove the finite-memory
    determinacy of generalized energy games and show the inter- reducibility of generalized
    mean-payoff and energy games for finite-memory strategies. We also improve the
    computational complexity for solving both classes of games with finite-memory
    strategies: while the previously best known upper bound was EXPSPACE, and no lower
    bound was known, we give an optimal coNP-complete bound. For memoryless strategies,
    we show that the problem of deciding the existence of a winning strategy for the
    protagonist is NP-complete.'
alternative_title:
- LIPIcs
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- 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: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: 'Chatterjee K, Doyen L, Henzinger TA, Raskin J. Generalized mean-payoff and
    energy games. In: Vol 8. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2010:505-516.
    doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505">10.4230/LIPIcs.FSTTCS.2010.505</a>'
  apa: 'Chatterjee, K., Doyen, L., Henzinger, T. A., &#38; Raskin, J. (2010). Generalized
    mean-payoff and energy games (Vol. 8, pp. 505–516). Presented at the FSTTCS: Foundations
    of Software Technology and Theoretical Computer Science, Chennai, India: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505">https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Thomas A Henzinger, and Jean Raskin.
    “Generalized Mean-Payoff and Energy Games,” 8:505–16. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2010. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505">https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505</a>.
  ieee: 'K. Chatterjee, L. Doyen, T. A. Henzinger, and J. Raskin, “Generalized mean-payoff
    and energy games,” presented at the FSTTCS: Foundations of Software Technology
    and Theoretical Computer Science, Chennai, India, 2010, vol. 8, pp. 505–516.'
  ista: 'Chatterjee K, Doyen L, Henzinger TA, Raskin J. 2010. Generalized mean-payoff
    and energy games. FSTTCS: Foundations of Software Technology and Theoretical Computer
    Science, LIPIcs, vol. 8, 505–516.'
  mla: Chatterjee, Krishnendu, et al. <i>Generalized Mean-Payoff and Energy Games</i>.
    Vol. 8, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 505–16, doi:<a
    href="https://doi.org/10.4230/LIPIcs.FSTTCS.2010.505">10.4230/LIPIcs.FSTTCS.2010.505</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, J. Raskin, in:, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2010, pp. 505–516.
conference:
  end_date: 2010-12-18
  location: Chennai, India
  name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2010-12-15
corr_author: '1'
date_created: 2018-12-11T12:05:34Z
date_published: 2010-12-13T00:00:00Z
date_updated: 2025-09-30T09:33:50Z
day: '13'
ddc:
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.FSTTCS.2010.505
external_id:
  isi:
  - '000310361000043'
file:
- access_level: open_access
  checksum: 1caabd6319b979927208117a41192637
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:27Z
  date_updated: 2020-07-14T12:46:18Z
  file_id: '5147'
  file_name: IST-2012-59-v1+1_Generalized_mean-payoff_and_energy_games.pdf
  file_size: 178278
  relation: main_file
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  checksum: 3a59759ceeacdb5b578f3803d5e6769b
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:28Z
  date_updated: 2020-07-14T12:46:18Z
  file_id: '5148'
  file_name: IST-2016-59-v2+1_2_1_.pdf
  file_size: 477976
  relation: main_file
file_date_updated: 2020-07-14T12:46:18Z
has_accepted_license: '1'
intvolume: '         8'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '12'
oa: 1
oa_version: Submitted Version
page: 505 - 516
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '2321'
pubrep_id: '59'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalized mean-payoff and energy games
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 8
year: '2010'
...
---
_id: '3861'
abstract:
- lang: eng
  text: We introduce strategy logic, a logic that treats strategies in two-player
    games as explicit first-order objects. The explicit treatment of strategies allows
    us to specify properties of nonzero-sum games in a simple and natural way. We
    show that the one-alternation fragment of strategy logic is strong enough to express
    the existence of Nash equilibria and secure equilibria, and subsumes other logics
    that were introduced to reason about games, such as ATL, ATL*, and game logic.
    We show that strategy logic is decidable, by constructing tree automata that recognize
    sets of strategies. While for the general logic, our decision procedure is nonelementary,
    for the simple fragment that is used above we show that the complexity is polynomial
    in the size of the game graph and optimal in the size of the formula (ranging
    from polynomial to 2EXPTIME depending on the form of the formula).
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: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Nir
  full_name: Piterman, Nir
  last_name: Piterman
citation:
  ama: Chatterjee K, Henzinger TA, Piterman N. Strategy logic. <i>Information and
    Computation</i>. 2010;208(6):677-693. doi:<a href="https://doi.org/10.1016/j.ic.2009.07.004">10.1016/j.ic.2009.07.004</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Piterman, N. (2010). Strategy logic.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2009.07.004">https://doi.org/10.1016/j.ic.2009.07.004</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Nir Piterman. “Strategy
    Logic.” <i>Information and Computation</i>. Elsevier, 2010. <a href="https://doi.org/10.1016/j.ic.2009.07.004">https://doi.org/10.1016/j.ic.2009.07.004</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and N. Piterman, “Strategy logic,” <i>Information
    and Computation</i>, vol. 208, no. 6. Elsevier, pp. 677–693, 2010.
  ista: Chatterjee K, Henzinger TA, Piterman N. 2010. Strategy logic. Information
    and Computation. 208(6), 677–693.
  mla: Chatterjee, Krishnendu, et al. “Strategy Logic.” <i>Information and Computation</i>,
    vol. 208, no. 6, Elsevier, 2010, pp. 677–93, doi:<a href="https://doi.org/10.1016/j.ic.2009.07.004">10.1016/j.ic.2009.07.004</a>.
  short: K. Chatterjee, T.A. Henzinger, N. Piterman, Information and Computation 208
    (2010) 677–693.
corr_author: '1'
date_created: 2018-12-11T12:05:34Z
date_published: 2010-06-01T00:00:00Z
date_updated: 2025-09-30T09:32:18Z
day: '01'
ddc:
- '000'
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2009.07.004
external_id:
  isi:
  - '000278070100006'
file:
- access_level: open_access
  checksum: 13bff93f3c2a014e2908145a4517f177
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:54Z
  date_updated: 2020-07-14T12:46:18Z
  file_id: '4911'
  file_name: IST-2012-56-v1+1_Strategy_logic.pdf
  file_size: 189120
  relation: main_file
file_date_updated: 2020-07-14T12:46:18Z
has_accepted_license: '1'
intvolume: '       208'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 677 - 693
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '2317'
pubrep_id: '56'
quality_controlled: '1'
related_material:
  record:
  - id: '3884'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Strategy logic
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 208
year: '2010'
...
---
_id: '3863'
abstract:
- lang: eng
  text: 'We consider two-player parity games with imperfect information in which strategies
    rely on observations that provide imperfect information about the history of a
    play. To solve such games, i.e., to determine the winning regions of players and
    corresponding winning strategies, one can use the subset construction to build
    an equivalent perfect-information game. Recently, an algorithm that avoids the
    inefficient subset construction has been proposed. The algorithm performs a fixed-point
    computation in a lattice of antichains, thus maintaining a succinct representation
    of state sets. However, this representation does not allow to recover winning
    strategies. In this paper, we build on the antichain approach to develop an algorithm
    for constructing the winning strategies in parity games of imperfect information.
    One major obstacle in adapting the classical procedure is that the complementation
    of attractor sets would break the invariant of downward-closedness on which the
    antichain representation relies. We overcome this difficulty by decomposing problem
    instances recursively into games with a combination of reachability, safety, and
    simpler parity conditions. We also report on an experimental implementation of
    our algorithm: to our knowledge, this is the first implementation of a procedure
    for solving imperfect-information parity games on graphs.'
article_processing_charge: No
author:
- first_name: Dietmar
  full_name: Berwanger, Dietmar
  last_name: Berwanger
- 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: De Wulf, Martin
  last_name: De Wulf
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: Berwanger D, Chatterjee K, De Wulf M, Doyen L, Henzinger TA. Strategy construction
    for parity games with imperfect information. <i>Information and Computation</i>.
    2010;208(10):1206-1220. doi:<a href="https://doi.org/10.1016/j.ic.2009.09.006">10.1016/j.ic.2009.09.006</a>
  apa: Berwanger, D., Chatterjee, K., De Wulf, M., Doyen, L., &#38; Henzinger, T.
    A. (2010). Strategy construction for parity games with imperfect information.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2009.09.006">https://doi.org/10.1016/j.ic.2009.09.006</a>
  chicago: Berwanger, Dietmar, Krishnendu Chatterjee, Martin De Wulf, Laurent Doyen,
    and Thomas A Henzinger. “Strategy Construction for Parity Games with Imperfect
    Information.” <i>Information and Computation</i>. Elsevier, 2010. <a href="https://doi.org/10.1016/j.ic.2009.09.006">https://doi.org/10.1016/j.ic.2009.09.006</a>.
  ieee: D. Berwanger, K. Chatterjee, M. De Wulf, L. Doyen, and T. A. Henzinger, “Strategy
    construction for parity games with imperfect information,” <i>Information and
    Computation</i>, vol. 208, no. 10. Elsevier, pp. 1206–1220, 2010.
  ista: Berwanger D, Chatterjee K, De Wulf M, Doyen L, Henzinger TA. 2010. Strategy
    construction for parity games with imperfect information. Information and Computation.
    208(10), 1206–1220.
  mla: Berwanger, Dietmar, et al. “Strategy Construction for Parity Games with Imperfect
    Information.” <i>Information and Computation</i>, vol. 208, no. 10, Elsevier,
    2010, pp. 1206–20, doi:<a href="https://doi.org/10.1016/j.ic.2009.09.006">10.1016/j.ic.2009.09.006</a>.
  short: D. Berwanger, K. Chatterjee, M. De Wulf, L. Doyen, T.A. Henzinger, Information
    and Computation 208 (2010) 1206–1220.
date_created: 2018-12-11T12:05:35Z
date_published: 2010-10-01T00:00:00Z
date_updated: 2025-09-30T09:33:19Z
day: '01'
ddc:
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2009.09.006
ec_funded: 1
external_id:
  isi:
  - '000281830300007'
file:
- access_level: open_access
  checksum: 29d146e4f8049dbb7f80bbf7ea3700ed
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:44Z
  date_updated: 2020-07-14T12:46:18Z
  file_id: '5300'
  file_name: IST-2012-58-v1+1_Strategy_construction_for_parity_games_with_imperfect_information.pdf
  file_size: 287496
  relation: main_file
file_date_updated: 2020-07-14T12:46:18Z
has_accepted_license: '1'
intvolume: '       208'
isi: 1
issue: '10'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 1206 - 1220
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '2319'
pubrep_id: '58'
quality_controlled: '1'
related_material:
  record:
  - id: '3880'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Strategy construction for parity games with imperfect information
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 208
year: '2010'
...
---
_id: '3864'
abstract:
- lang: eng
  text: 'Often one has a preference order among the different systems that satisfy
    a given specification. Under a probabilistic assumption about the possible inputs,
    such a preference order is naturally expressed by a weighted automaton, which
    assigns to each word a value, such that a system is preferred if it generates
    a higher expected value. We solve the following optimal-synthesis problem: given
    an omega-regular specification, a Markov chain that describes the distribution
    of inputs, and a weighted automaton that measures how well a system satisfies
    the given specification tinder the given input assumption, synthesize a system
    that optimizes the measured value. For safety specifications and measures that
    are defined by mean-payoff automata, the optimal-synthesis problem amounts to
    finding a strategy in a Markov decision process (MDP) that is optimal for a long-run
    average reward objective, which can be done in polynomial time. For general omega-regular
    specifications, the solution rests on a new, polynomial-time algorithm for computing
    optimal strategies in MDPs with mean-payoff parity objectives. We present some
    experimental results showing optimal systems that were automatically generated
    in this way.'
acknowledgement: This research was supported by the European Union project COMBEST
  and the European Network of Excellence ArtistDesign.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Singh R. Measuring and synthesizing
    systems in probabilistic environments. In: Vol 6174. Springer; 2010:380-395. doi:<a
    href="https://doi.org/10.1007/978-3-642-14295-6_34">10.1007/978-3-642-14295-6_34</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Singh, R. (2010). Measuring
    and synthesizing systems in probabilistic environments (Vol. 6174, pp. 380–395).
    Presented at the CAV: Computer Aided Verification, Edinburgh, United Kingdom:
    Springer. <a href="https://doi.org/10.1007/978-3-642-14295-6_34">https://doi.org/10.1007/978-3-642-14295-6_34</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit
    Singh. “Measuring and Synthesizing Systems in Probabilistic Environments,” 6174:380–95.
    Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-14295-6_34">https://doi.org/10.1007/978-3-642-14295-6_34</a>.
  ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “Measuring and
    synthesizing systems in probabilistic environments,” presented at the CAV: Computer
    Aided Verification, Edinburgh, United Kingdom, 2010, vol. 6174, pp. 380–395.'
  ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2010. Measuring and synthesizing
    systems in probabilistic environments. CAV: Computer Aided Verification, LNCS,
    vol. 6174, 380–395.'
  mla: Chatterjee, Krishnendu, et al. <i>Measuring and Synthesizing Systems in Probabilistic
    Environments</i>. Vol. 6174, Springer, 2010, pp. 380–95, doi:<a href="https://doi.org/10.1007/978-3-642-14295-6_34">10.1007/978-3-642-14295-6_34</a>.
  short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, in:, Springer, 2010,
    pp. 380–395.
conference:
  end_date: 2010-07-19
  location: Edinburgh, United Kingdom
  name: 'CAV: Computer Aided Verification'
  start_date: 201-07-15
corr_author: '1'
date_created: 2018-12-11T12:05:35Z
date_published: 2010-07-09T00:00:00Z
date_updated: 2025-09-23T09:33:01Z
day: '09'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-14295-6_34
external_id:
  arxiv:
  - '1004.0739'
intvolume: '      6174'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1004.0739
month: '07'
oa: 1
oa_version: Preprint
page: 380 - 395
publication_status: published
publisher: Springer
publist_id: '2313'
quality_controlled: '1'
related_material:
  record:
  - id: '1856'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Measuring and synthesizing systems in probabilistic environments
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6174
year: '2010'
...
---
OA_type: closed access
_id: '3865'
abstract:
- lang: eng
  text: We introduce a technique for debugging multi-threaded C programs and analyzing
    the impact of source code changes, and its implementation in the prototype tool
    DIRECT. Our approach uses a combination of source code instrumentation and runtime
    management. The source code along with a test harness is instrumented to monitor
    Operating System (OS) and user defined function calls. DIRECT tracks all concurrency
    control primitives and, optionally, data from the program. DIRECT maintains an
    abstract global state that combines information from every thread, including the
    sequence of function calls and concurrency primitives executed. The runtime manager
    can insert delays, provoking thread inter-leavings that may exhibit bugs that
    are difficult to reach otherwise. The runtime manager collects an approximation
    of the reachable state space and uses this approximation to assess the impact
    of change in a new version of the program.
alternative_title:
- LNCS
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: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Vishwanath
  full_name: Raman, Vishwanath
  last_name: Raman
- first_name: César
  full_name: Sánchez, César
  last_name: Sánchez
citation:
  ama: 'Chatterjee K, De Alfaro L, Raman V, Sánchez C. Analyzing the impact of change
    in multi-threaded programs. In: <i>13th International Conference on Fundamental
    Approaches to Software Engineering</i>. Vol 6013. Springer; 2010:293-307. doi:<a
    href="https://doi.org/10.1007/978-3-642-12029-9_21">10.1007/978-3-642-12029-9_21</a>'
  apa: 'Chatterjee, K., De Alfaro, L., Raman, V., &#38; Sánchez, C. (2010). Analyzing
    the impact of change in multi-threaded programs. In <i>13th International Conference
    on Fundamental Approaches to Software Engineering</i> (Vol. 6013, pp. 293–307).
    Paphos, Cyprus: Springer. <a href="https://doi.org/10.1007/978-3-642-12029-9_21">https://doi.org/10.1007/978-3-642-12029-9_21</a>'
  chicago: Chatterjee, Krishnendu, Luca De Alfaro, Vishwanath Raman, and César Sánchez.
    “Analyzing the Impact of Change in Multi-Threaded Programs.” In <i>13th International
    Conference on Fundamental Approaches to Software Engineering</i>, 6013:293–307.
    Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-12029-9_21">https://doi.org/10.1007/978-3-642-12029-9_21</a>.
  ieee: K. Chatterjee, L. De Alfaro, V. Raman, and C. Sánchez, “Analyzing the impact
    of change in multi-threaded programs,” in <i>13th International Conference on
    Fundamental Approaches to Software Engineering</i>, Paphos, Cyprus, 2010, vol.
    6013, pp. 293–307.
  ista: 'Chatterjee K, De Alfaro L, Raman V, Sánchez C. 2010. Analyzing the impact
    of change in multi-threaded programs. 13th International Conference on Fundamental
    Approaches to Software Engineering. FASE: Fundamental Approaches To Software Engineering,
    LNCS, vol. 6013, 293–307.'
  mla: Chatterjee, Krishnendu, et al. “Analyzing the Impact of Change in Multi-Threaded
    Programs.” <i>13th International Conference on Fundamental Approaches to Software
    Engineering</i>, vol. 6013, Springer, 2010, pp. 293–307, doi:<a href="https://doi.org/10.1007/978-3-642-12029-9_21">10.1007/978-3-642-12029-9_21</a>.
  short: K. Chatterjee, L. De Alfaro, V. Raman, C. Sánchez, in:, 13th International
    Conference on Fundamental Approaches to Software Engineering, Springer, 2010,
    pp. 293–307.
conference:
  end_date: 2010-03-28
  location: Paphos, Cyprus
  name: 'FASE: Fundamental Approaches To Software Engineering'
  start_date: 2010-03-20
date_created: 2018-12-11T12:05:35Z
date_published: 2010-04-21T00:00:00Z
date_updated: 2025-05-20T06:36:30Z
day: '21'
department:
- _id: KrCh
doi: 10.1007/978-3-642-12029-9_21
intvolume: '      6013'
language:
- iso: eng
month: '04'
oa_version: None
page: 293 - 307
publication: 13th International Conference on Fundamental Approaches to Software Engineering
publication_identifier:
  eisbn:
  - '9783642120299'
  eissn:
  - 1611-3349
publication_status: published
publisher: Springer
publist_id: '2315'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Analyzing the impact of change in multi-threaded programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6013
year: '2010'
...
---
_id: '3866'
abstract:
- lang: eng
  text: Systems ought to behave reasonably even in circumstances that are not anticipated
    in their specifications. We propose a definition of robustness for liveness specifications
    which prescribes, for any number of environment assumptions that are violated,
    a minimal number of system guarantees that must still be fulfilled. This notion
    of robustness can be formulated and realized using a Generalized Reactivity formula.
    We present an algorithm for synthesizing robust systems from such formulas. For
    the important special case of Generalized Reactivity formulas of rank 1, our algorithm
    improves the complexity of [PPS06] for large specifications with a small number
    of assumptions and guarantees.
alternative_title:
- LNCS
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: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
citation:
  ama: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. Robustness in
    the presence of liveness. In: Touili T, Cook B, Jackson P, eds. Vol 6174. Springer;
    2010:410-424. doi:<a href="https://doi.org/10.1007/978-3-642-14295-6_36">10.1007/978-3-642-14295-6_36</a>'
  apa: 'Bloem, R., Chatterjee, K., Greimel, K., Henzinger, T. A., &#38; Jobstmann,
    B. (2010). Robustness in the presence of liveness. In T. Touili, B. Cook, &#38;
    P. Jackson (Eds.) (Vol. 6174, pp. 410–424). Presented at the CAV: Computer Aided
    Verification, Edinburgh, UK: Springer. <a href="https://doi.org/10.1007/978-3-642-14295-6_36">https://doi.org/10.1007/978-3-642-14295-6_36</a>'
  chicago: Bloem, Roderick, Krishnendu Chatterjee, Karin Greimel, Thomas A Henzinger,
    and Barbara Jobstmann. “Robustness in the Presence of Liveness.” edited by Tayssir
    Touili, Byron Cook, and Paul Jackson, 6174:410–24. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-14295-6_36">https://doi.org/10.1007/978-3-642-14295-6_36</a>.
  ieee: 'R. Bloem, K. Chatterjee, K. Greimel, T. A. Henzinger, and B. Jobstmann, “Robustness
    in the presence of liveness,” presented at the CAV: Computer Aided Verification,
    Edinburgh, UK, 2010, vol. 6174, pp. 410–424.'
  ista: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. 2010. Robustness
    in the presence of liveness. CAV: Computer Aided Verification, LNCS, vol. 6174,
    410–424.'
  mla: Bloem, Roderick, et al. <i>Robustness in the Presence of Liveness</i>. Edited
    by Tayssir Touili et al., vol. 6174, Springer, 2010, pp. 410–24, doi:<a href="https://doi.org/10.1007/978-3-642-14295-6_36">10.1007/978-3-642-14295-6_36</a>.
  short: R. Bloem, K. Chatterjee, K. Greimel, T.A. Henzinger, B. Jobstmann, in:, T.
    Touili, B. Cook, P. Jackson (Eds.), Springer, 2010, pp. 410–424.
conference:
  end_date: 2010-07-19
  location: Edinburgh, UK
  name: 'CAV: Computer Aided Verification'
  start_date: 2010-07-15
date_created: 2018-12-11T12:05:36Z
date_published: 2010-07-01T00:00:00Z
date_updated: 2021-01-12T07:52:47Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-14295-6_36
ec_funded: 1
editor:
- first_name: Tayssir
  full_name: Touili, Tayssir
  last_name: Touili
- first_name: Byron
  full_name: Cook, Byron
  last_name: Cook
- first_name: Paul
  full_name: Jackson, Paul
  last_name: Jackson
file:
- access_level: open_access
  checksum: 9d204611c8d7855bed8134f8708a0010
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:52Z
  date_updated: 2020-07-14T12:46:19Z
  file_id: '5243'
  file_name: IST-2012-54-v1+1_Robustness_in_the_presence_of_liveness.pdf
  file_size: 213083
  relation: main_file
file_date_updated: 2020-07-14T12:46:19Z
has_accepted_license: '1'
intvolume: '      6174'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 410 - 424
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: '2310'
pubrep_id: '54'
quality_controlled: '1'
scopus_import: 1
status: public
title: Robustness in the presence of liveness
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6174
year: '2010'
...
---
_id: '3867'
abstract:
- lang: eng
  text: Weighted automata are nondeterministic automata with numerical weights on
    transitions. They can define quantitative languages L that assign to each word
    w a real number L(w). In the case of infinite words, the value of a run is naturally
    computed as the maximum, limsup, liminf, limit-average, or discounted-sum of the
    transition weights. The value of a word w is the supremum of the values of the
    runs over w. We study expressiveness and closure questions about these quantitative
    languages. We first show that the set of words with value greater than a threshold
    can be omega-regular for deterministic limit-average and discounted-sum automata,
    while this set is always omega-regular when the threshold is isolated (i.e., some
    neighborhood around the threshold contains no word). In the latter case, we prove
    that the omega-regular language is robust against small perturbations of the transition
    weights. We next consider automata with transition weights 0 or 1 and show that
    they are as expressive as general weighted automata in the limit-average case,
    but not in the discounted-sum case. Third, for quantitative languages L-1 and
    L-2, we consider the operations max(L-1, L-2), min(L-1, L-2), and 1 - L-1, which
    generalize the boolean operations on languages, as well as the sum L-1 + L-2.
    We establish the closure properties of all classes of quantitative languages with
    respect to these four operations.
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: Chatterjee K, Doyen L, Henzinger TA. Expressiveness and closure properties
    for quantitative languages. <i>Logical Methods in Computer Science</i>. 2010;6(3):1-23.
    doi:<a href="https://doi.org/10.2168/LMCS-6(3:10)2010">10.2168/LMCS-6(3:10)2010</a>
  apa: Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2010). Expressiveness and
    closure properties for quantitative languages. <i>Logical Methods in Computer
    Science</i>. International Federation of Computational Logic. <a href="https://doi.org/10.2168/LMCS-6(3:10)2010">https://doi.org/10.2168/LMCS-6(3:10)2010</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Expressiveness
    and Closure Properties for Quantitative Languages.” <i>Logical Methods in Computer
    Science</i>. International Federation of Computational Logic, 2010. <a href="https://doi.org/10.2168/LMCS-6(3:10)2010">https://doi.org/10.2168/LMCS-6(3:10)2010</a>.
  ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “Expressiveness and closure
    properties for quantitative languages,” <i>Logical Methods in Computer Science</i>,
    vol. 6, no. 3. International Federation of Computational Logic, pp. 1–23, 2010.
  ista: Chatterjee K, Doyen L, Henzinger TA. 2010. Expressiveness and closure properties
    for quantitative languages. Logical Methods in Computer Science. 6(3), 1–23.
  mla: Chatterjee, Krishnendu, et al. “Expressiveness and Closure Properties for Quantitative
    Languages.” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3, International
    Federation of Computational Logic, 2010, pp. 1–23, doi:<a href="https://doi.org/10.2168/LMCS-6(3:10)2010">10.2168/LMCS-6(3:10)2010</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, Logical Methods in Computer Science
    6 (2010) 1–23.
corr_author: '1'
date_created: 2018-12-11T12:05:36Z
date_published: 2010-08-30T00:00:00Z
date_updated: 2025-09-30T09:31:00Z
day: '30'
ddc:
- '000'
- '004'
department:
- _id: KrCh
- _id: ToHe
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  name: Design for Embedded Systems
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  name: COMponent-Based Embedded Systems design Techniques
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status: public
title: Expressiveness and closure properties for quantitative languages
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...
---
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abstract:
- lang: eng
  text: Simulation and bisimulation metrics for stochastic systems provide a quantitative
    generalization of the classical simulation and bisimulation relations. These metrics
    capture the similarity of states with respect to quantitative specifications written
    in the quantitative mu-calculus and related probabilistic logics. We first show
    that the metrics provide a bound for the difference in long-run average and discounted
    average behavior across states, indicating that the metrics can be used both in
    system verification, and in performance evaluation. For turn-based games and MDPs,
    we provide a polynomial-time algorithm for the computation of the one-step metric
    distance between states. The algorithm is based on linear programming; it improves
    on the previous known exponential-time algorithm based on a reduction to the theory
    of reals. We then present PSPACE algorithms for both the decision problem and
    the problem of approximating the metric distance between two states, matching
    the best known algorithms for Markov chains. For the bisimulation kernel of the
    metric our algorithm works in time O(n(4)) for both turn-based games and MDPs;
    improving the previously best known O(n(9).log(n)) time algorithm for MDPs. For
    a concurrent game G, we show that computing the exact distance be tween states
    is at least as hard as computing the value of concurrent reachability games and
    the square-root-sum problem in computational geometry. We show that checking whether
    the metric distance is bounded by a rational r, can be done via a reduction to
    the theory of real closed fields, involving a formula with three quantifier alternations,
    yielding O(vertical bar G vertical bar(O(vertical bar G vertical bar 5))) time
    complexity, improving the previously known reduction, which yielded O(vertical
    bar G vertical bar(O(vertical bar G vertical bar 7))) time complexity. These algorithms
    can be iterated to approximate the metrics using binary search
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: Luca
  full_name: De Alfaro, Luca
  last_name: De Alfaro
- first_name: Ritankar
  full_name: Majumdar, Ritankar
  last_name: Majumdar
- first_name: Vishwanath
  full_name: Raman, Vishwanath
  last_name: Raman
citation:
  ama: Chatterjee K, De Alfaro L, Majumdar R, Raman V. Algorithms for game metrics.
    <i>Logical Methods in Computer Science</i>. 2010;6(3):1-27. doi:<a href="https://doi.org/10.2168/LMCS-6(3:13)2010">10.2168/LMCS-6(3:13)2010</a>
  apa: Chatterjee, K., De Alfaro, L., Majumdar, R., &#38; Raman, V. (2010). Algorithms
    for game metrics. <i>Logical Methods in Computer Science</i>. International Federation
    of Computational Logic. <a href="https://doi.org/10.2168/LMCS-6(3:13)2010">https://doi.org/10.2168/LMCS-6(3:13)2010</a>
  chicago: Chatterjee, Krishnendu, Luca De Alfaro, Ritankar Majumdar, and Vishwanath
    Raman. “Algorithms for Game Metrics.” <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic, 2010. <a href="https://doi.org/10.2168/LMCS-6(3:13)2010">https://doi.org/10.2168/LMCS-6(3:13)2010</a>.
  ieee: K. Chatterjee, L. De Alfaro, R. Majumdar, and V. Raman, “Algorithms for game
    metrics,” <i>Logical Methods in Computer Science</i>, vol. 6, no. 3. International
    Federation of Computational Logic, pp. 1–27, 2010.
  ista: Chatterjee K, De Alfaro L, Majumdar R, Raman V. 2010. Algorithms for game
    metrics. Logical Methods in Computer Science. 6(3), 1–27.
  mla: Chatterjee, Krishnendu, et al. “Algorithms for Game Metrics.” <i>Logical Methods
    in Computer Science</i>, vol. 6, no. 3, International Federation of Computational
    Logic, 2010, pp. 1–27, doi:<a href="https://doi.org/10.2168/LMCS-6(3:13)2010">10.2168/LMCS-6(3:13)2010</a>.
  short: K. Chatterjee, L. De Alfaro, R. Majumdar, V. Raman, Logical Methods in Computer
    Science 6 (2010) 1–27.
corr_author: '1'
date_created: 2018-12-11T12:05:36Z
date_published: 2010-09-01T00:00:00Z
date_updated: 2025-09-30T09:31:30Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.2168/LMCS-6(3:13)2010
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  isi:
  - '000282653500013'
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  creator: system
  date_created: 2018-12-12T10:08:11Z
  date_updated: 2020-07-14T12:46:19Z
  file_id: '4671'
  file_name: IST-2015-370-v1+1_0809.4326.pdf
  file_size: 346527
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oa: 1
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publication_status: published
publisher: International Federation of Computational Logic
publist_id: '2312'
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    status: public
scopus_import: '1'
status: public
title: Algorithms for game metrics
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type: journal_article
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...
---
_id: '4388'
abstract:
- lang: eng
  text: GIST is a tool that (a) solves the qualitative analysis problem of turn-based
    probabilistic games with ω-regular objectives; and (b) synthesizes reasonable
    environment assumptions for synthesis of unrealizable specifications. Our tool
    provides the first and efficient implementations of several reduction-based techniques
    to solve turn-based probabilistic games, and uses the analysis of turn-based probabilistic
    games for synthesizing environment assumptions for unrealizable specifications.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Arjun
  full_name: Radhakrishna, Arjun
  id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
  last_name: Radhakrishna
citation:
  ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. GIST: A solver for
    probabilistic games. In: Vol 6174. Springer; 2010:665-669. doi:<a href="https://doi.org/10.1007/978-3-642-14295-6_57">10.1007/978-3-642-14295-6_57</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Radhakrishna, A. (2010).
    GIST: A solver for probabilistic games (Vol. 6174, pp. 665–669). Presented at
    the CAV: Computer Aided Verification, Edinburgh, UK: Springer. <a href="https://doi.org/10.1007/978-3-642-14295-6_57">https://doi.org/10.1007/978-3-642-14295-6_57</a>'
  chicago: 'Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Arjun
    Radhakrishna. “GIST: A Solver for Probabilistic Games,” 6174:665–69. Springer,
    2010. <a href="https://doi.org/10.1007/978-3-642-14295-6_57">https://doi.org/10.1007/978-3-642-14295-6_57</a>.'
  ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and A. Radhakrishna, “GIST:
    A solver for probabilistic games,” presented at the CAV: Computer Aided Verification,
    Edinburgh, UK, 2010, vol. 6174, pp. 665–669.'
  ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. 2010. GIST: A solver
    for probabilistic games. CAV: Computer Aided Verification, LNCS, vol. 6174, 665–669.'
  mla: 'Chatterjee, Krishnendu, et al. <i>GIST: A Solver for Probabilistic Games</i>.
    Vol. 6174, Springer, 2010, pp. 665–69, doi:<a href="https://doi.org/10.1007/978-3-642-14295-6_57">10.1007/978-3-642-14295-6_57</a>.'
  short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, A. Radhakrishna, in:, Springer,
    2010, pp. 665–669.
conference:
  end_date: 2010-07-17
  location: Edinburgh, UK
  name: 'CAV: Computer Aided Verification'
  start_date: 2010-07-15
corr_author: '1'
date_created: 2018-12-11T12:08:36Z
date_published: 2010-07-01T00:00:00Z
date_updated: 2024-10-09T20:54:00Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-14295-6_57
ec_funded: 1
external_id:
  arxiv:
  - '1004.2367'
file:
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language:
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month: '07'
oa: 1
oa_version: Submitted Version
page: 665 - 669
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: '1068'
pubrep_id: '43'
quality_controlled: '1'
related_material:
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  - id: '5393'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: 'GIST: A solver for probabilistic games'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6174
year: '2010'
...
---
_id: '5392'
abstract:
- lang: eng
  text: We consider probabilistic automata on infinite words with acceptance defined
    by safety, reachability, Büchi, coBüchi and limit-average conditions. We consider
    quantitative and qualitative decision problems. We present extensions and adaptations
    of proofs of [GO09] and present a precise characterization of the decidability
    and undecidability frontier of the quantitative and qualitative decision problems.
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
citation:
  ama: 'Chatterjee K. <i>Probabilistic Automata on Infinite Words: Decidability and
    Undecidability Results</i>. IST Austria; 2009. doi:<a href="https://doi.org/10.15479/AT:IST-2009-0004">10.15479/AT:IST-2009-0004</a>'
  apa: 'Chatterjee, K. (2009). <i>Probabilistic automata on infinite words: Decidability
    and undecidability results</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2009-0004">https://doi.org/10.15479/AT:IST-2009-0004</a>'
  chicago: 'Chatterjee, Krishnendu. <i>Probabilistic Automata on Infinite Words: Decidability
    and Undecidability Results</i>. IST Austria, 2009. <a href="https://doi.org/10.15479/AT:IST-2009-0004">https://doi.org/10.15479/AT:IST-2009-0004</a>.'
  ieee: 'K. Chatterjee, <i>Probabilistic automata on infinite words: Decidability
    and undecidability results</i>. IST Austria, 2009.'
  ista: 'Chatterjee K. 2009. Probabilistic automata on infinite words: Decidability
    and undecidability results, IST Austria, 17p.'
  mla: 'Chatterjee, Krishnendu. <i>Probabilistic Automata on Infinite Words: Decidability
    and Undecidability Results</i>. IST Austria, 2009, doi:<a href="https://doi.org/10.15479/AT:IST-2009-0004">10.15479/AT:IST-2009-0004</a>.'
  short: 'K. Chatterjee, Probabilistic Automata on Infinite Words: Decidability and
    Undecidability Results, IST Austria, 2009.'
corr_author: '1'
date_created: 2018-12-12T11:39:04Z
date_published: 2009-11-02T00:00:00Z
date_updated: 2025-04-14T13:37:25Z
day: '02'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2009-0004
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file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '17'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '28'
related_material:
  record:
  - id: '3857'
    relation: later_version
    status: public
status: public
title: 'Probabilistic automata on infinite words: Decidability and undecidability
  results'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '5393'
abstract:
- lang: eng
  text: Gist is a tool that (a) solves the qualitative analysis problem of turn-based
    probabilistic games with ω-regular objectives; and (b) synthesizes reasonable
    environment assumptions for synthesis of unrealizable specifications. Our tool
    provides efficient implementations of several reduction based techniques to solve
    turn-based probabilistic games, and uses the analysis of turn-based probabilistic
    games for synthesizing environment assumptions for unrealizable specifications.
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: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Arjun
  full_name: Radhakrishna, Arjun
  id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
  last_name: Radhakrishna
citation:
  ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. <i>Gist: A Solver
    for Probabilistic Games</i>. IST Austria; 2009. doi:<a href="https://doi.org/10.15479/AT:IST-2009-0003">10.15479/AT:IST-2009-0003</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Radhakrishna, A. (2009).
    <i>Gist: A solver for probabilistic games</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2009-0003">https://doi.org/10.15479/AT:IST-2009-0003</a>'
  chicago: 'Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Arjun
    Radhakrishna. <i>Gist: A Solver for Probabilistic Games</i>. IST Austria, 2009.
    <a href="https://doi.org/10.15479/AT:IST-2009-0003">https://doi.org/10.15479/AT:IST-2009-0003</a>.'
  ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and A. Radhakrishna, <i>Gist:
    A solver for probabilistic games</i>. IST Austria, 2009.'
  ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. 2009. Gist: A solver
    for probabilistic games, IST Austria, 12p.'
  mla: 'Chatterjee, Krishnendu, et al. <i>Gist: A Solver for Probabilistic Games</i>.
    IST Austria, 2009, doi:<a href="https://doi.org/10.15479/AT:IST-2009-0003">10.15479/AT:IST-2009-0003</a>.'
  short: 'K. Chatterjee, T.A. Henzinger, B. Jobstmann, A. Radhakrishna, Gist: A Solver
    for Probabilistic Games, IST Austria, 2009.'
corr_author: '1'
date_created: 2018-12-12T11:39:05Z
date_published: 2009-10-09T00:00:00Z
date_updated: 2025-04-14T13:37:27Z
day: '09'
ddc:
- '000'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0003
file:
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language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '12'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '29'
related_material:
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  - id: '4388'
    relation: later_version
    status: public
status: public
title: 'Gist: A solver for probabilistic games'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_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. <i>Improved Lower Bounds for Request-Response
    and Finitary Streett Games</i>. IST Austria; 2009. doi:<a href="https://doi.org/10.15479/AT:IST-2009-0002">10.15479/AT:IST-2009-0002</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Horn, F. (2009). <i>Improved lower
    bounds for request-response and finitary Streett games</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2009-0002">https://doi.org/10.15479/AT:IST-2009-0002</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. <i>Improved
    Lower Bounds for Request-Response and Finitary Streett Games</i>. IST Austria,
    2009. <a href="https://doi.org/10.15479/AT:IST-2009-0002">https://doi.org/10.15479/AT:IST-2009-0002</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, <i>Improved lower bounds for
    request-response and finitary Streett games</i>. 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. <i>Improved Lower Bounds for Request-Response
    and Finitary Streett Games</i>. IST Austria, 2009, doi:<a href="https://doi.org/10.15479/AT:IST-2009-0002">10.15479/AT:IST-2009-0002</a>.
  short: K. Chatterjee, T.A. Henzinger, F. Horn, Improved Lower Bounds for Request-Response
    and Finitary Streett Games, IST Austria, 2009.
corr_author: '1'
date_created: 2018-12-12T11:39:05Z
date_published: 2009-09-09T00:00:00Z
date_updated: 2024-10-09T21:08:23Z
day: '09'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0002
file:
- access_level: open_access
  checksum: 1c50a9723fbae1b2c46d18138968efb3
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  creator: system
  date_created: 2018-12-12T11:53:50Z
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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: '5395'
abstract:
- lang: eng
  text: 'We study observation-based strategies for partially-observable Markov decision
    processes (POMDPs) with omega-regular objectives. An observation-based strategy
    relies on partial information about the history of a play, namely, on the past
    sequence of observa- tions. We consider the qualitative analysis problem: given
    a POMDP with an omega-regular objective, whether there is an observation-based
    strategy to achieve the objective with probability 1 (almost-sure winning), or
    with positive probability (positive winning). Our main results are twofold. First,
    we present a complete picture of the computational complexity of the qualitative
    analysis of POMDPs with parity objectives (a canonical form to express omega-regular
    objectives) and its subclasses. Our contribution consists in establishing several
    upper and lower bounds that were not known in literature. Second, we present optimal
    bounds (matching upper and lower bounds) on the memory required by pure and randomized
    observation-based strategies for the qualitative analysis of POMDPs with parity
    objectives and its subclasses.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: Chatterjee K, Doyen L, Henzinger TA. <i>Qualitative Analysis of Partially-Observable
    Markov Decision Processes</i>. IST Austria; 2009. doi:<a href="https://doi.org/10.15479/AT:IST-2009-0001">10.15479/AT:IST-2009-0001</a>
  apa: Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2009). <i>Qualitative analysis
    of partially-observable Markov decision processes</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2009-0001">https://doi.org/10.15479/AT:IST-2009-0001</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. <i>Qualitative
    Analysis of Partially-Observable Markov Decision Processes</i>. IST Austria, 2009.
    <a href="https://doi.org/10.15479/AT:IST-2009-0001">https://doi.org/10.15479/AT:IST-2009-0001</a>.
  ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, <i>Qualitative analysis of partially-observable
    Markov decision processes</i>. IST Austria, 2009.
  ista: Chatterjee K, Doyen L, Henzinger TA. 2009. Qualitative analysis of partially-observable
    Markov decision processes, IST Austria, 20p.
  mla: Chatterjee, Krishnendu, et al. <i>Qualitative Analysis of Partially-Observable
    Markov Decision Processes</i>. IST Austria, 2009, doi:<a href="https://doi.org/10.15479/AT:IST-2009-0001">10.15479/AT:IST-2009-0001</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, Qualitative Analysis of Partially-Observable
    Markov Decision Processes, IST Austria, 2009.
corr_author: '1'
date_created: 2018-12-12T11:39:05Z
date_published: 2009-09-09T00:00:00Z
date_updated: 2025-04-14T13:37:25Z
day: '09'
ddc:
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0001
file:
- access_level: open_access
  checksum: 04d9cc065cc19598a4e8631c47f1a562
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:25Z
  date_updated: 2020-07-14T12:46:43Z
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file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '31'
related_material:
  record:
  - id: '3855'
    relation: later_version
    status: public
status: public
title: Qualitative analysis of partially-observable Markov decision processes
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'
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: 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.
    <i>ACM Transactions on Computational Logic (TOCL)</i>. 2009;11(1). doi:<a href="https://doi.org/10.1145/1614431.1614432">10.1145/1614431.1614432</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Horn, F. (2009). Finitary winning in
    omega-regular games. <i>ACM Transactions on Computational Logic (TOCL)</i>. ACM.
    <a href="https://doi.org/10.1145/1614431.1614432">https://doi.org/10.1145/1614431.1614432</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Finitary
    Winning in Omega-Regular Games.” <i>ACM Transactions on Computational Logic (TOCL)</i>.
    ACM, 2009. <a href="https://doi.org/10.1145/1614431.1614432">https://doi.org/10.1145/1614431.1614432</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, “Finitary winning in omega-regular
    games,” <i>ACM Transactions on Computational Logic (TOCL)</i>, 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.” <i>ACM
    Transactions on Computational Logic (TOCL)</i>, vol. 11, no. 1, 1, ACM, 2009,
    doi:<a href="https://doi.org/10.1145/1614431.1614432">10.1145/1614431.1614432</a>.
  short: K. Chatterjee, T.A. Henzinger, F. Horn, ACM Transactions on Computational
    Logic (TOCL) 11 (2009).
corr_author: '1'
date_created: 2018-12-11T12:05:37Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2025-09-30T09:53:52Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/1614431.1614432
ec_funded: 1
external_id:
  isi:
  - '000272039900001'
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'
isi: 1
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 11
year: '2009'
...
---
_id: '3871'
abstract:
- lang: eng
  text: 'Nondeterministic weighted automata are finite automata with numerical weights
    oil transitions. They define quantitative languages 1, that assign to each word
    v; a real number L(w). The value of ail infinite word w is computed as the maximal
    value of all runs over w, and the value of a run as the supremum, limsup liminf,
    limit average, or discounted sum of the transition weights. We introduce probabilistic
    weighted antomata, in which the transitions are chosen in a randomized (rather
    than nondeterministic) fashion. Under almost-sure semantics (resp. positive semantics),
    the value of a word v) is the largest real v such that the runs over w have value
    at least v with probability I (resp. positive probability). We study the classical
    questions of automata theory for probabilistic weighted automata: emptiness and
    universality, expressiveness, and closure under various operations oil languages.
    For quantitative languages, emptiness university axe defined as whether the value
    of some (resp. every) word exceeds a given threshold. We prove some, of these
    questions to he decidable, and others undecidable. Regarding expressive power,
    we show that probabilities allow its to define a wide variety of new classes of
    quantitative languages except for discounted-sum automata, where probabilistic
    choice is no more expressive than nondeterminism. Finally we live ail almost complete
    picture of the closure of various classes of probabilistic weighted automata for
    the following, provide, is operations oil quantitative languages: maximum, sum.
    and numerical complement.'
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), by the European projects
  Combest, Quasimodo, and Gasics, by the PAI program Moves funded by the Belgian Federal
  Government, and by the CFV (Federated Center in Verification ) funded by the F.R.S.-FNRS.
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: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Chatterjee K, Doyen L, Henzinger TA. Probabilistic weighted automata. In:
    Vol 5710. Springer; 2009:244-258. doi:<a href="https://doi.org/10.1007/978-3-642-04081-8_17">10.1007/978-3-642-04081-8_17</a>'
  apa: 'Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2009). Probabilistic weighted
    automata (Vol. 5710, pp. 244–258). Presented at the CONCUR: Concurrency Theory,
    Bologna, Italy: Springer. <a href="https://doi.org/10.1007/978-3-642-04081-8_17">https://doi.org/10.1007/978-3-642-04081-8_17</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Probabilistic
    Weighted Automata,” 5710:244–58. Springer, 2009. <a href="https://doi.org/10.1007/978-3-642-04081-8_17">https://doi.org/10.1007/978-3-642-04081-8_17</a>.
  ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “Probabilistic weighted automata,”
    presented at the CONCUR: Concurrency Theory, Bologna, Italy, 2009, vol. 5710,
    pp. 244–258.'
  ista: 'Chatterjee K, Doyen L, Henzinger TA. 2009. Probabilistic weighted automata.
    CONCUR: Concurrency Theory, LNCS, vol. 5710, 244–258.'
  mla: Chatterjee, Krishnendu, et al. <i>Probabilistic Weighted Automata</i>. Vol.
    5710, Springer, 2009, pp. 244–58, doi:<a href="https://doi.org/10.1007/978-3-642-04081-8_17">10.1007/978-3-642-04081-8_17</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2009, pp. 244–258.
conference:
  end_date: 2009-09-04
  location: Bologna, Italy
  name: 'CONCUR: Concurrency Theory'
  start_date: 2009-09-01
corr_author: '1'
date_created: 2018-12-11T12:05:37Z
date_published: 2009-09-01T00:00:00Z
date_updated: 2024-10-09T20:53:56Z
day: '01'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.1007/978-3-642-04081-8_17
ec_funded: 1
file:
- access_level: open_access
  checksum: af973ddbcf131b8810c6bff2c055ff56
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:46Z
  date_updated: 2020-07-14T12:46:20Z
  file_id: '4771'
  file_name: IST-2012-52-v1+1_Probabilistic_Weighted_Automata.pdf
  file_size: 200161
  relation: main_file
file_date_updated: 2020-07-14T12:46:20Z
has_accepted_license: '1'
intvolume: '      5710'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 244 - 258
project:
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '2304'
pubrep_id: '52'
quality_controlled: '1'
scopus_import: 1
status: public
title: Probabilistic weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5710
year: '2009'
...
---
_id: '4542'
abstract:
- lang: eng
  text: "Weighted automata are finite automata with numerical weights on transitions.
    Nondeterministic weighted automata define quantitative languages L that assign
    to each word w a real number L(w) computed as the maximal value of all runs over
    w, and the value of a run r is a function of the sequence of weights that appear
    along r. There are several natural functions to consider such as Sup, LimSup,
    LimInf, limit average, and discounted sum of transition weights.\r\nWe introduce
    alternating weighted automata in which the transitions of the runs are chosen
    by two players in a turn-based fashion. Each word is assigned the maximal value
    of a run that the first player can enforce regardless of the choices made by the
    second player. We survey the results about closure properties, expressiveness,
    and decision problems for nondeterministic weighted automata, and we extend these
    results to alternating weighted automata.\r\nFor quantitative languages L 1 and
    L 2, we consider the pointwise operations max(L 1,L 2), min(L 1,L 2), 1 − L 1,
    and the sum L 1 + L 2. We establish the closure properties of all classes of alternating
    weighted automata with respect to these four operations.\r\nWe next compare the
    expressive power of the various classes of alternating and nondeterministic weighted
    automata over infinite words. In particular, for limit average and discounted
    sum, we show that alternation brings more expressive power than nondeterminism.\r\nFinally,
    we present decidability results and open questions for the quantitative extension
    of the classical decision problems in automata theory: emptiness, universality,
    language inclusion, and language equivalence."
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), by the European Combest,
  Quasimodo, and Gasics projects, by the PAI program Moves funded by the Belgian Federal
  Government, and by the CFV (Federated Center in Verification) funded by the F.R.S.-FNRS.
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: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Chatterjee K, Doyen L, Henzinger TA. Alternating weighted automata. In: Vol
    5699. Springer; 2009:3-13. doi:<a href="https://doi.org/10.1007/978-3-642-03409-1_2">10.1007/978-3-642-03409-1_2</a>'
  apa: 'Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2009). Alternating weighted
    automata (Vol. 5699, pp. 3–13). Presented at the FCT: Fundamentals of Computation
    Theory, Wroclaw, Poland: Springer. <a href="https://doi.org/10.1007/978-3-642-03409-1_2">https://doi.org/10.1007/978-3-642-03409-1_2</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Alternating
    Weighted Automata,” 5699:3–13. Springer, 2009. <a href="https://doi.org/10.1007/978-3-642-03409-1_2">https://doi.org/10.1007/978-3-642-03409-1_2</a>.
  ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “Alternating weighted automata,”
    presented at the FCT: Fundamentals of Computation Theory, Wroclaw, Poland, 2009,
    vol. 5699, pp. 3–13.'
  ista: 'Chatterjee K, Doyen L, Henzinger TA. 2009. Alternating weighted automata.
    FCT: Fundamentals of Computation Theory, LNCS, vol. 5699, 3–13.'
  mla: Chatterjee, Krishnendu, et al. <i>Alternating Weighted Automata</i>. Vol. 5699,
    Springer, 2009, pp. 3–13, doi:<a href="https://doi.org/10.1007/978-3-642-03409-1_2">10.1007/978-3-642-03409-1_2</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2009, pp. 3–13.
conference:
  end_date: 2009-09-04
  location: Wroclaw, Poland
  name: 'FCT: Fundamentals of Computation Theory'
  start_date: 2009-09-02
corr_author: '1'
date_created: 2018-12-11T12:09:23Z
date_published: 2009-09-10T00:00:00Z
date_updated: 2024-10-09T20:53:55Z
day: '10'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1007/978-3-642-03409-1_2
ec_funded: 1
file:
- access_level: open_access
  checksum: e8f53abb63579de3f2bff58b2a1188e2
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:09Z
  date_updated: 2020-07-14T12:46:31Z
  file_id: '5126'
  file_name: IST-2012-39-v1+1_Alternating_Weighted_Automata.pdf
  file_size: 164428
  relation: main_file
file_date_updated: 2020-07-14T12:46:31Z
has_accepted_license: '1'
intvolume: '      5699'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 3 - 13
project:
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '180'
pubrep_id: '39'
quality_controlled: '1'
scopus_import: 1
status: public
title: Alternating weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5699
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:<a href="https://doi.org/10.1007/978-3-642-03816-7_4">10.1007/978-3-642-03816-7_4</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; 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. <a href="https://doi.org/10.1007/978-3-642-03816-7_4">https://doi.org/10.1007/978-3-642-03816-7_4</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Stochastic
    Games with Finitary Objectives,” 5734:34–54. Springer, 2009. <a href="https://doi.org/10.1007/978-3-642-03816-7_4">https://doi.org/10.1007/978-3-642-03816-7_4</a>.
  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. <i>Stochastic Games with Finitary Objectives</i>.
    Vol. 5734, Springer, 2009, pp. 34–54, doi:<a href="https://doi.org/10.1007/978-3-642-03816-7_4">10.1007/978-3-642-03816-7_4</a>.
  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
corr_author: '1'
date_created: 2018-12-11T12:09:24Z
date_published: 2009-08-01T00:00:00Z
date_updated: 2024-10-09T20:53:54Z
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'
...
