---
_id: '716'
abstract:
- lang: eng
  text: 'Two-player games on graphs are central in many problems in formal verification
    and program analysis, such as synthesis and verification of open systems. In this
    work, we consider solving recursive game graphs (or pushdown game graphs) that
    model the control flow of sequential programs with recursion.While pushdown games
    have been studied before with qualitative objectives-such as reachability and
    ?-regular objectives- in this work, we study for the first time such games with
    the most well-studied quantitative objective, the mean-payoff objective. In pushdown
    games, two types of strategies are relevant: (1) global strategies, which depend
    on the entire global history; and (2) modular strategies, which have only local
    memory and thus do not depend on the context of invocation but rather only on
    the history of the current invocation of the module. Our main results are as follows:
    (1) One-player pushdown games with mean-payoff objectives under global strategies
    are decidable in polynomial time. (2) Two-player pushdown games with mean-payoff
    objectives under global strategies are undecidable. (3) One-player pushdown games
    with mean-payoff objectives under modular strategies are NP-hard. (4) Two-player
    pushdown games with mean-payoff objectives under modular strategies can be solved
    in NP (i.e., both one-player and two-player pushdown games with mean-payoff objectives
    under modular strategies are NP-complete). We also establish the optimal strategy
    complexity by showing that global strategies for mean-payoff objectives require
    infinite memory even in one-player pushdown games and memoryless modular strategies
    are sufficient in two-player pushdown games. Finally, we also show that all the
    problems have the same complexity if the stack boundedness condition is added,
    where along with the mean-payoff objective the player must also ensure that the
    stack height is bounded.'
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: Chatterjee K, Velner Y. The complexity of mean-payoff pushdown games. <i>Journal
    of the ACM</i>. 2017;64(5):34. doi:<a href="https://doi.org/10.1145/3121408">10.1145/3121408</a>
  apa: Chatterjee, K., &#38; Velner, Y. (2017). The complexity of mean-payoff pushdown
    games. <i>Journal of the ACM</i>. ACM. <a href="https://doi.org/10.1145/3121408">https://doi.org/10.1145/3121408</a>
  chicago: Chatterjee, Krishnendu, and Yaron Velner. “The Complexity of Mean-Payoff
    Pushdown Games.” <i>Journal of the ACM</i>. ACM, 2017. <a href="https://doi.org/10.1145/3121408">https://doi.org/10.1145/3121408</a>.
  ieee: K. Chatterjee and Y. Velner, “The complexity of mean-payoff pushdown games,”
    <i>Journal of the ACM</i>, vol. 64, no. 5. ACM, p. 34, 2017.
  ista: Chatterjee K, Velner Y. 2017. The complexity of mean-payoff pushdown games.
    Journal of the ACM. 64(5), 34.
  mla: Chatterjee, Krishnendu, and Yaron Velner. “The Complexity of Mean-Payoff Pushdown
    Games.” <i>Journal of the ACM</i>, vol. 64, no. 5, ACM, 2017, p. 34, doi:<a href="https://doi.org/10.1145/3121408">10.1145/3121408</a>.
  short: K. Chatterjee, Y. Velner, Journal of the ACM 64 (2017) 34.
date_created: 2018-12-11T11:48:06Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2021-01-12T08:12:08Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3121408
ec_funded: 1
external_id:
  arxiv:
  - '1201.2829'
intvolume: '        64'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1201.2829
month: '09'
oa: 1
oa_version: Preprint
page: '34'
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Journal of the ACM
publication_identifier:
  issn:
  - '00045411'
publication_status: published
publisher: ACM
publist_id: '6964'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of mean-payoff pushdown games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 64
year: '2017'
...
---
_id: '717'
abstract:
- lang: eng
  text: 'We consider finite-state and recursive game graphs with multidimensional
    mean-payoff objectives. In recursive games two types of strategies are relevant:
    global strategies and modular strategies. Our contributions are: (1) We show that
    finite-state multidimensional mean-payoff games can be solved in polynomial time
    if the number of dimensions and the maximal absolute value of weights are fixed;
    whereas for arbitrary dimensions the problem is coNP-complete. (2) We show that
    one-player recursive games with multidimensional mean-payoff objectives can be
    solved in polynomial time. Both above algorithms are based on hyperplane separation
    technique. (3) For recursive games we show that under modular strategies the multidimensional
    problem is undecidable. We show that if the number of modules, exits, and the
    maximal absolute value of the weights are fixed, then one-dimensional recursive
    mean-payoff games under modular strategies can be solved in polynomial time, whereas
    for unbounded number of exits or modules the problem is NP-hard.'
acknowledgement: 'The research was supported by Austrian Science Fund (FWF) Grant
  No. P 23499-N23, FWF NFN Grant No. S11407-N23 (RiSE), ERC Start grant (279307: Graph
  Games), Microsoft faculty fellows award, the RICH Model Toolkit (ICT COST Action
  IC0901), and was carried out in partial fulfillment of the requirements for the
  Ph.D. degree of the second author.'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: Chatterjee K, Velner Y. Hyperplane separation technique for multidimensional
    mean-payoff games. <i>Journal of Computer and System Sciences</i>. 2017;88:236-259.
    doi:<a href="https://doi.org/10.1016/j.jcss.2017.04.005">10.1016/j.jcss.2017.04.005</a>
  apa: Chatterjee, K., &#38; Velner, Y. (2017). Hyperplane separation technique for
    multidimensional mean-payoff games. <i>Journal of Computer and System Sciences</i>.
    Academic Press. <a href="https://doi.org/10.1016/j.jcss.2017.04.005">https://doi.org/10.1016/j.jcss.2017.04.005</a>
  chicago: Chatterjee, Krishnendu, and Yaron Velner. “Hyperplane Separation Technique
    for Multidimensional Mean-Payoff Games.” <i>Journal of Computer and System Sciences</i>.
    Academic Press, 2017. <a href="https://doi.org/10.1016/j.jcss.2017.04.005">https://doi.org/10.1016/j.jcss.2017.04.005</a>.
  ieee: K. Chatterjee and Y. Velner, “Hyperplane separation technique for multidimensional
    mean-payoff games,” <i>Journal of Computer and System Sciences</i>, vol. 88. Academic
    Press, pp. 236–259, 2017.
  ista: Chatterjee K, Velner Y. 2017. Hyperplane separation technique for multidimensional
    mean-payoff games. Journal of Computer and System Sciences. 88, 236–259.
  mla: Chatterjee, Krishnendu, and Yaron Velner. “Hyperplane Separation Technique
    for Multidimensional Mean-Payoff Games.” <i>Journal of Computer and System Sciences</i>,
    vol. 88, Academic Press, 2017, pp. 236–59, doi:<a href="https://doi.org/10.1016/j.jcss.2017.04.005">10.1016/j.jcss.2017.04.005</a>.
  short: K. Chatterjee, Y. Velner, Journal of Computer and System Sciences 88 (2017)
    236–259.
date_created: 2018-12-11T11:48:07Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2023-02-23T10:38:15Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2017.04.005
ec_funded: 1
intvolume: '        88'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1210.3141
month: '09'
oa: 1
oa_version: Preprint
page: 236 - 259
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of Computer and System Sciences
publication_status: published
publisher: Academic Press
publist_id: '6963'
quality_controlled: '1'
related_material:
  record:
  - id: '2329'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Hyperplane separation technique for multidimensional mean-payoff games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 88
year: '2017'
...
---
_id: '719'
abstract:
- lang: eng
  text: 'The ubiquity of computation in modern machines and devices imposes a need
    to assert the correctness of their behavior. Especially in the case of safety-critical
    systems, their designers need to take measures that enforce their safe operation.
    Formal methods has emerged as a research field that addresses this challenge:
    by rigorously proving that all system executions adhere to their specifications,
    the correctness of an implementation under concern can be assured. To achieve
    this goal, a plethora of techniques are nowadays available, all of which are optimized
    for different system types and application domains.'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rüdiger
  full_name: Ehlers, Rüdiger
  last_name: Ehlers
citation:
  ama: 'Chatterjee K, Ehlers R. Special issue: Synthesis and SYNT 2014. <i>Acta Informatica</i>.
    2017;54(6):543-544. doi:<a href="https://doi.org/10.1007/s00236-017-0299-0">10.1007/s00236-017-0299-0</a>'
  apa: 'Chatterjee, K., &#38; Ehlers, R. (2017). Special issue: Synthesis and SYNT
    2014. <i>Acta Informatica</i>. Springer. <a href="https://doi.org/10.1007/s00236-017-0299-0">https://doi.org/10.1007/s00236-017-0299-0</a>'
  chicago: 'Chatterjee, Krishnendu, and Rüdiger Ehlers. “Special Issue: Synthesis
    and SYNT 2014.” <i>Acta Informatica</i>. Springer, 2017. <a href="https://doi.org/10.1007/s00236-017-0299-0">https://doi.org/10.1007/s00236-017-0299-0</a>.'
  ieee: 'K. Chatterjee and R. Ehlers, “Special issue: Synthesis and SYNT 2014,” <i>Acta
    Informatica</i>, vol. 54, no. 6. Springer, pp. 543–544, 2017.'
  ista: 'Chatterjee K, Ehlers R. 2017. Special issue: Synthesis and SYNT 2014. Acta
    Informatica. 54(6), 543–544.'
  mla: 'Chatterjee, Krishnendu, and Rüdiger Ehlers. “Special Issue: Synthesis and
    SYNT 2014.” <i>Acta Informatica</i>, vol. 54, no. 6, Springer, 2017, pp. 543–44,
    doi:<a href="https://doi.org/10.1007/s00236-017-0299-0">10.1007/s00236-017-0299-0</a>.'
  short: K. Chatterjee, R. Ehlers, Acta Informatica 54 (2017) 543–544.
date_created: 2018-12-11T11:48:07Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2021-01-12T08:12:18Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s00236-017-0299-0
intvolume: '        54'
issue: '6'
language:
- iso: eng
month: '09'
oa_version: None
page: 543 - 544
publication: Acta Informatica
publication_identifier:
  issn:
  - '00015903'
publication_status: published
publisher: Springer
publist_id: '6961'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Special issue: Synthesis and SYNT 2014'
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2017'
...
---
_id: '744'
abstract:
- lang: eng
  text: In evolutionary game theory interactions between individuals are often assumed
    obligatory. However, in many real-life situations, individuals can decide to opt
    out of an interaction depending on the information they have about the opponent.
    We consider a simple evolutionary game theoretic model to study such a scenario,
    where at each encounter between two individuals the type of the opponent (cooperator/defector)
    is known with some probability, and where each individual either accepts or opts
    out of the interaction. If the type of the opponent is unknown, a trustful individual
    accepts the interaction, whereas a suspicious individual opts out of the interaction.
    If either of the two individuals opt out both individuals remain without an interaction.
    We show that in the prisoners dilemma optional interactions along with suspicious
    behaviour facilitates the emergence of trustful cooperation.
article_processing_charge: No
article_type: original
author:
- first_name: Tadeas
  full_name: Priklopil, Tadeas
  id: 3C869AA0-F248-11E8-B48F-1D18A9856A87
  last_name: Priklopil
- 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: Nowak, Martin
  last_name: Nowak
citation:
  ama: Priklopil T, Chatterjee K, Nowak M. Optional interactions and suspicious behaviour
    facilitates trustful cooperation in prisoners dilemma. <i> Journal of Theoretical
    Biology</i>. 2017;433:64-72. doi:<a href="https://doi.org/10.1016/j.jtbi.2017.08.025">10.1016/j.jtbi.2017.08.025</a>
  apa: Priklopil, T., Chatterjee, K., &#38; Nowak, M. (2017). Optional interactions
    and suspicious behaviour facilitates trustful cooperation in prisoners dilemma.
    <i> Journal of Theoretical Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.jtbi.2017.08.025">https://doi.org/10.1016/j.jtbi.2017.08.025</a>
  chicago: Priklopil, Tadeas, Krishnendu Chatterjee, and Martin Nowak. “Optional Interactions
    and Suspicious Behaviour Facilitates Trustful Cooperation in Prisoners Dilemma.”
    <i> Journal of Theoretical Biology</i>. Elsevier, 2017. <a href="https://doi.org/10.1016/j.jtbi.2017.08.025">https://doi.org/10.1016/j.jtbi.2017.08.025</a>.
  ieee: T. Priklopil, K. Chatterjee, and M. Nowak, “Optional interactions and suspicious
    behaviour facilitates trustful cooperation in prisoners dilemma,” <i> Journal
    of Theoretical Biology</i>, vol. 433. Elsevier, pp. 64–72, 2017.
  ista: Priklopil T, Chatterjee K, Nowak M. 2017. Optional interactions and suspicious
    behaviour facilitates trustful cooperation in prisoners dilemma.  Journal of Theoretical
    Biology. 433, 64–72.
  mla: Priklopil, Tadeas, et al. “Optional Interactions and Suspicious Behaviour Facilitates
    Trustful Cooperation in Prisoners Dilemma.” <i> Journal of Theoretical Biology</i>,
    vol. 433, Elsevier, 2017, pp. 64–72, doi:<a href="https://doi.org/10.1016/j.jtbi.2017.08.025">10.1016/j.jtbi.2017.08.025</a>.
  short: T. Priklopil, K. Chatterjee, M. Nowak,  Journal of Theoretical Biology 433
    (2017) 64–72.
date_created: 2018-12-11T11:48:16Z
date_published: 2017-11-21T00:00:00Z
date_updated: 2023-09-27T12:29:02Z
day: '21'
ddc:
- '000'
- '570'
department:
- _id: KrCh
doi: 10.1016/j.jtbi.2017.08.025
ec_funded: 1
external_id:
  isi:
  - '000412039800007'
  pmid:
  - '28867224'
file:
- access_level: open_access
  checksum: 4b43af1615ebf1a861840cb03d8a320c
  content_type: application/pdf
  creator: dernst
  date_created: 2019-11-19T07:57:39Z
  date_updated: 2020-07-14T12:47:58Z
  file_id: '7047'
  file_name: 2017_JournTheoretBio_Priklopil.pdf
  file_size: 537323
  relation: main_file
file_date_updated: 2020-07-14T12:47:58Z
has_accepted_license: '1'
intvolume: '       433'
isi: 1
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: 64 - 72
pmid: 1
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: ' Journal of Theoretical Biology'
publication_identifier:
  issn:
  - '00225193'
publication_status: published
publisher: Elsevier
publist_id: '6923'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optional interactions and suspicious behaviour facilitates trustful cooperation
  in prisoners dilemma
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: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 433
year: '2017'
...
---
_id: '464'
abstract:
- lang: eng
  text: The computation of the winning set for parity objectives and for Streett objectives
    in graphs as well as in game graphs are central problems in computer-aided verification,
    with application to the verification of closed systems with strong fairness conditions,
    the verification of open systems, checking interface compatibility, well-formedness
    of specifications, and the synthesis of reactive systems. We show how to compute
    the winning set on n vertices for (1) parity-3 (aka one-pair Streett) objectives
    in game graphs in time O(n5/2) and for (2) k-pair Streett objectives in graphs
    in time O(n2+nklogn). For both problems this gives faster algorithms for dense
    graphs and represents the first improvement in asymptotic running time in 15 years.
article_number: '26'
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: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Veronika
  full_name: Loitzenbauer, Veronika
  last_name: Loitzenbauer
citation:
  ama: Chatterjee K, Henzinger MH, Loitzenbauer V. Improved algorithms for parity
    and Streett objectives. <i>Logical Methods in Computer Science</i>. 2017;13(3).
    doi:<a href="https://doi.org/10.23638/LMCS-13(3:26)2017">10.23638/LMCS-13(3:26)2017</a>
  apa: Chatterjee, K., Henzinger, M. H., &#38; Loitzenbauer, V. (2017). Improved algorithms
    for parity and Streett objectives. <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(3:26)2017">https://doi.org/10.23638/LMCS-13(3:26)2017</a>
  chicago: Chatterjee, Krishnendu, Monika H Henzinger, and Veronika Loitzenbauer.
    “Improved Algorithms for Parity and Streett Objectives.” <i>Logical Methods in
    Computer Science</i>. International Federation of Computational Logic, 2017. <a
    href="https://doi.org/10.23638/LMCS-13(3:26)2017">https://doi.org/10.23638/LMCS-13(3:26)2017</a>.
  ieee: K. Chatterjee, M. H. Henzinger, and V. Loitzenbauer, “Improved algorithms
    for parity and Streett objectives,” <i>Logical Methods in Computer Science</i>,
    vol. 13, no. 3. International Federation of Computational Logic, 2017.
  ista: Chatterjee K, Henzinger MH, Loitzenbauer V. 2017. Improved algorithms for
    parity and Streett objectives. Logical Methods in Computer Science. 13(3), 26.
  mla: Chatterjee, Krishnendu, et al. “Improved Algorithms for Parity and Streett
    Objectives.” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3, 26, International
    Federation of Computational Logic, 2017, doi:<a href="https://doi.org/10.23638/LMCS-13(3:26)2017">10.23638/LMCS-13(3:26)2017</a>.
  short: K. Chatterjee, M.H. Henzinger, V. Loitzenbauer, Logical Methods in Computer
    Science 13 (2017).
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-26T00:00:00Z
date_updated: 2025-06-02T08:53:41Z
day: '26'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.23638/LMCS-13(3:26)2017
ec_funded: 1
external_id:
  arxiv:
  - '1410.0833'
file:
- access_level: open_access
  checksum: 12d469ae69b80361333d7dead965cf5d
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:27Z
  date_updated: 2020-07-14T12:46:32Z
  file_id: '5010'
  file_name: IST-2018-956-v1+1_2017_Chatterjee_Improved_algorithms.pdf
  file_size: 582940
  relation: main_file
file_date_updated: 2020-07-14T12:46:32Z
has_accepted_license: '1'
intvolume: '        13'
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - 1860-5974
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7357'
pubrep_id: '956'
quality_controlled: '1'
related_material:
  record:
  - id: '1661'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Improved algorithms for parity and Streett objectives
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2017'
...
---
_id: '465'
abstract:
- lang: eng
  text: 'The edit distance between two words w 1 , w 2 is the minimal number of word
    operations (letter insertions, deletions, and substitutions) necessary to transform
    w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the
    edit distance from L 1 to L 2 is the minimal number k such that for every word
    from L 1 there exists a word in L 2 with edit distance at most k . We study the
    edit distance computation problem between pushdown automata and their subclasses.
    The problem of computing edit distance to a pushdown automaton is undecidable,
    and in practice, the interesting question is to compute the edit distance from
    a pushdown automaton (the implementation, a standard model for programs with recursion)
    to a regular language (the specification). In this work, we present a complete
    picture of decidability and complexity for the following problems: (1) deciding
    whether, for a given threshold k , the edit distance from a pushdown automaton
    to a finite automaton is at most k , and (2) deciding whether the edit distance
    from a pushdown automaton to a finite automaton is finite. '
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: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Jan
  full_name: Otop, Jan
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown
    automata. <i>Logical Methods in Computer Science</i>. 2017;13(3). doi:<a href="https://doi.org/10.23638/LMCS-13(3:23)2017">10.23638/LMCS-13(3:23)2017</a>
  apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., &#38; Otop, J. (2017).
    Edit distance for pushdown automata. <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(3:23)2017">https://doi.org/10.23638/LMCS-13(3:23)2017</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
    Otop. “Edit Distance for Pushdown Automata.” <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic, 2017. <a href="https://doi.org/10.23638/LMCS-13(3:23)2017">https://doi.org/10.23638/LMCS-13(3:23)2017</a>.
  ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance
    for pushdown automata,” <i>Logical Methods in Computer Science</i>, vol. 13, no.
    3. International Federation of Computational Logic, 2017.
  ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for
    pushdown automata. Logical Methods in Computer Science. 13(3).
  mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” <i>Logical
    Methods in Computer Science</i>, vol. 13, no. 3, International Federation of Computational
    Logic, 2017, doi:<a href="https://doi.org/10.23638/LMCS-13(3:23)2017">10.23638/LMCS-13(3:23)2017</a>.
  short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods
    in Computer Science 13 (2017).
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-13T00:00:00Z
date_updated: 2023-02-23T12:26:25Z
day: '13'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.23638/LMCS-13(3:23)2017
ec_funded: 1
file:
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oa: 1
oa_version: Published Version
project:
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  name: Moderne Concurrency Paradigms
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  name: Modern Graph Algorithmic Techniques in Formal Verification
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  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
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  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
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  grant_number: S11407
  name: Game Theory
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - '18605974'
publication_status: published
publisher: International Federation of Computational Logic
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scopus_import: 1
status: public
title: Edit distance for pushdown automata
tmp:
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  short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2017'
...
---
_id: '466'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with multiple limit-average
    (or mean-payoff) objectives. There exist two different views: (i) the expectation
    semantics, where the goal is to optimize the expected mean-payoff objective, and
    (ii) the satisfaction semantics, where the goal is to maximize the probability
    of runs such that the mean-payoff value stays above a given vector. We consider
    optimization with respect to both objectives at once, thus unifying the existing
    semantics. Precisely, the goal is to optimize the expectation while ensuring the
    satisfaction constraint. Our problem captures the notion of optimization with
    respect to strategies that are risk-averse (i.e., ensure certain probabilistic
    guarantee). Our main results are as follows: First, we present algorithms for
    the decision problems which are always polynomial in the size of the MDP. We also
    show that an approximation of the Pareto-curve can be computed in time polynomial
    in the size of the MDP, and the approximation factor, but exponential in the number
    of dimensions. Second, we present a complete characterization of the strategy
    complexity (in terms of memory bounds and randomization) required to solve our
    problem. '
article_number: '15'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Zuzana
  full_name: Křetínská, Zuzana
  last_name: Křetínská
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
citation:
  ama: Chatterjee K, Křetínská Z, Kretinsky J. Unifying two views on multiple mean-payoff
    objectives in Markov decision processes. <i>Logical Methods in Computer Science</i>.
    2017;13(2). doi:<a href="https://doi.org/10.23638/LMCS-13(2:15)2017">10.23638/LMCS-13(2:15)2017</a>
  apa: Chatterjee, K., Křetínská, Z., &#38; Kretinsky, J. (2017). Unifying two views
    on multiple mean-payoff objectives in Markov decision processes. <i>Logical Methods
    in Computer Science</i>. International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(2:15)2017">https://doi.org/10.23638/LMCS-13(2:15)2017</a>
  chicago: Chatterjee, Krishnendu, Zuzana Křetínská, and Jan Kretinsky. “Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.” <i>Logical
    Methods in Computer Science</i>. International Federation of Computational Logic,
    2017. <a href="https://doi.org/10.23638/LMCS-13(2:15)2017">https://doi.org/10.23638/LMCS-13(2:15)2017</a>.
  ieee: K. Chatterjee, Z. Křetínská, and J. Kretinsky, “Unifying two views on multiple
    mean-payoff objectives in Markov decision processes,” <i>Logical Methods in Computer
    Science</i>, vol. 13, no. 2. International Federation of Computational Logic,
    2017.
  ista: Chatterjee K, Křetínská Z, Kretinsky J. 2017. Unifying two views on multiple
    mean-payoff objectives in Markov decision processes. Logical Methods in Computer
    Science. 13(2), 15.
  mla: Chatterjee, Krishnendu, et al. “Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes.” <i>Logical Methods in Computer Science</i>,
    vol. 13, no. 2, 15, International Federation of Computational Logic, 2017, doi:<a
    href="https://doi.org/10.23638/LMCS-13(2:15)2017">10.23638/LMCS-13(2:15)2017</a>.
  short: K. Chatterjee, Z. Křetínská, J. Kretinsky, Logical Methods in Computer Science
    13 (2017).
date_created: 2018-12-11T11:46:38Z
date_published: 2017-07-03T00:00:00Z
date_updated: 2023-02-23T12:26:16Z
day: '03'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.23638/LMCS-13(2:15)2017
ec_funded: 1
file:
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  checksum: bfa405385ec6229ad5ead89ab5751639
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:32Z
  date_updated: 2020-07-14T12:46:33Z
  file_id: '5354'
  file_name: IST-2018-957-v1+1_2017_Chatterjee_Unifying_two.pdf
  file_size: 511832
  relation: main_file
file_date_updated: 2020-07-14T12:46:33Z
has_accepted_license: '1'
intvolume: '        13'
issue: '2'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2590DB08-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '701309'
  name: Atomic-Resolution Structures of Mitochondrial Respiratory Chain Supercomplexes
    (H2020)
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - '18605974'
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7355'
pubrep_id: '957'
quality_controlled: '1'
related_material:
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    relation: earlier_version
    status: public
  - id: '5429'
    relation: earlier_version
    status: public
  - id: '5435'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
tmp:
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  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
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  short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2017'
...
---
_id: '467'
abstract:
- lang: eng
  text: Recently there has been a significant effort to handle quantitative properties
    in formal verification and synthesis. While weighted automata over finite and
    infinite words provide a natural and flexible framework to express quantitative
    properties, perhaps surprisingly, some basic system properties such as average
    response time cannot be expressed using weighted automata or in any other known
    decidable formalism. In this work, we introduce nested weighted automata as a
    natural extension of weighted automata, which makes it possible to express important
    quantitative properties such as average response time. In nested weighted automata,
    a master automaton spins off and collects results from weighted slave automata,
    each of which computes a quantity along a finite portion of an infinite word.
    Nested weighted automata can be viewed as the quantitative analogue of monitor
    automata, which are used in runtime verification. We establish an almost-complete
    decidability picture for the basic decision problems about nested weighted automata
    and illustrate their applicability in several domains. In particular, nested weighted
    automata can be used to decide average response time properties.
article_number: '31'
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: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Otop J. Nested weighted automata. <i>ACM Transactions
    on Computational Logic (TOCL)</i>. 2017;18(4). doi:<a href="https://doi.org/10.1145/3152769">10.1145/3152769</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2017). Nested weighted automata.
    <i>ACM Transactions on Computational Logic (TOCL)</i>. ACM. <a href="https://doi.org/10.1145/3152769">https://doi.org/10.1145/3152769</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted
    Automata.” <i>ACM Transactions on Computational Logic (TOCL)</i>. ACM, 2017. <a
    href="https://doi.org/10.1145/3152769">https://doi.org/10.1145/3152769</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” <i>ACM
    Transactions on Computational Logic (TOCL)</i>, vol. 18, no. 4. ACM, 2017.
  ista: Chatterjee K, Henzinger TA, Otop J. 2017. Nested weighted automata. ACM Transactions
    on Computational Logic (TOCL). 18(4), 31.
  mla: Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” <i>ACM Transactions
    on Computational Logic (TOCL)</i>, vol. 18, no. 4, 31, ACM, 2017, doi:<a href="https://doi.org/10.1145/3152769">10.1145/3152769</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, ACM Transactions on Computational
    Logic (TOCL) 18 (2017).
date_created: 2018-12-11T11:46:38Z
date_published: 2017-12-01T00:00:00Z
date_updated: 2023-02-23T12:26:19Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/3152769
ec_funded: 1
external_id:
  arxiv:
  - '1606.03598'
intvolume: '        18'
issue: '4'
language:
- iso: eng
main_file_link:
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  url: https://arxiv.org/abs/1606.03598
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
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  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
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  name: Microsoft Research Faculty Fellowship
publication: ACM Transactions on Computational Logic (TOCL)
publication_identifier:
  issn:
  - '15293785'
publication_status: published
publisher: ACM
publist_id: '7354'
quality_controlled: '1'
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    status: public
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    relation: earlier_version
    status: public
  - id: '5436'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Nested weighted automata
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2017'
...
---
_id: '512'
abstract:
- lang: eng
  text: 'The fixation probability is the probability that a new mutant introduced
    in a homogeneous population eventually takes over the entire population. The fixation
    probability is a fundamental quantity of natural selection, and known to depend
    on the population structure. Amplifiers of natural selection are population structures
    which increase the fixation probability of advantageous mutants, as compared to
    the baseline case of well-mixed populations. In this work we focus on symmetric
    population structures represented as undirected graphs. In the regime of undirected
    graphs, the strongest amplifier known has been the Star graph, and the existence
    of undirected graphs with stronger amplification properties has remained open
    for over a decade. In this work we present the Comet and Comet-swarm families
    of undirected graphs. We show that for a range of fitness values of the mutants,
    the Comet and Cometswarm graphs have fixation probability strictly larger than
    the fixation probability of the Star graph, for fixed population size and at the
    limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- 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: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
    population structures: Comets beat stars. <i>Scientific Reports</i>. 2017;7(1).
    doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>'
  apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2017). Amplification
    on undirected population structures: Comets beat stars. <i>Scientific Reports</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>'
  chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
    <i>Scientific Reports</i>. Nature Publishing Group, 2017. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>.'
  ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
    on undirected population structures: Comets beat stars,” <i>Scientific Reports</i>,
    vol. 7, no. 1. Nature Publishing Group, 2017.'
  ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
    undirected population structures: Comets beat stars. Scientific Reports. 7(1),
    82.'
  mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
    Comets Beat Stars.” <i>Scientific Reports</i>, vol. 7, no. 1, 82, Nature Publishing
    Group, 2017, doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>.'
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
    7 (2017).
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-02-23T12:26:57Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
file:
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  checksum: 7d05cbdd914e194a019c0f91fb64e9a8
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:35Z
  date_updated: 2020-07-14T12:46:36Z
  file_id: '5357'
  file_name: IST-2018-938-v1+1_2017_Pavlogiannis_Amplification_on.pdf
  file_size: 1536783
  relation: main_file
file_date_updated: 2020-07-14T12:46:36Z
has_accepted_license: '1'
intvolume: '         7'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Scientific Reports
publication_identifier:
  issn:
  - '20452322'
publication_status: published
publisher: Nature Publishing Group
publist_id: '7307'
pubrep_id: '938'
quality_controlled: '1'
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  - id: '5449'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: 'Amplification on undirected population structures: Comets beat stars'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2017'
...
---
_id: '5455'
abstract:
- lang: eng
  text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
    reachability. The input is a graphwhere the edges are labeled with different types
    of opening and closing parentheses, and the reachabilityinformation is computed
    via paths whose parentheses are properly matched. We present new results for Dyckreachability
    problems with applications to alias analysis and data-dependence analysis. Our
    main contributions,that include improved upper bounds as well as lower bounds
    that establish optimality guarantees, are asfollows:First, we consider Dyck reachability
    on bidirected graphs, which is the standard way of performing field-sensitive
    points-to analysis. Given a bidirected graph withnnodes andmedges, we present:
    (i) an algorithmwith worst-case running timeO(m+n·α(n)), whereα(n)is the inverse
    Ackermann function, improving thepreviously knownO(n2)time bound; (ii) a matching
    lower bound that shows that our algorithm is optimalwrt to worst-case complexity;
    and (iii) an optimal average-case upper bound ofO(m)time, improving thepreviously
    knownO(m·logn)bound.Second, we consider the problem of context-sensitive data-dependence
    analysis, where the task is to obtainanalysis summaries of library code in the
    presence of callbacks. Our algorithm preprocesses libraries in almostlinear time,
    after which the contribution of the library in the complexity of the client analysis
    is only linear,and only wrt the number of call sites.Third, we prove that combinatorial
    algorithms for Dyck reachability on general graphs with truly sub-cubic bounds
    cannot be obtained without obtaining sub-cubic combinatorial algorithms for Boolean
    MatrixMultiplication, which is a long-standing open problem. Thus we establish
    that the existing combinatorialalgorithms for Dyck reachability are (conditionally)
    optimal for general graphs. We also show that the samehardness holds for graphs
    of constant treewidth.Finally, we provide a prototype implementation of our algorithms
    for both alias analysis and data-dependenceanalysis. Our experimental evaluation
    demonstrates that the new algorithms significantly outperform allexisting methods
    on the two problems, over real-world benchmarks.'
alternative_title:
- IST Austria Technical Report
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: Bhavya
  full_name: Choudhary, Bhavya
  last_name: Choudhary
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Choudhary B, Pavlogiannis A. <i>Optimal Dyck Reachability for
    Data-Dependence and Alias Analysis</i>. IST Austria; 2017. doi:<a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">10.15479/AT:IST-2017-870-v1-1</a>
  apa: Chatterjee, K., Choudhary, B., &#38; Pavlogiannis, A. (2017). <i>Optimal Dyck
    reachability for data-dependence and alias analysis</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">https://doi.org/10.15479/AT:IST-2017-870-v1-1</a>
  chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. <i>Optimal
    Dyck Reachability for Data-Dependence and Alias Analysis</i>. IST Austria, 2017.
    <a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">https://doi.org/10.15479/AT:IST-2017-870-v1-1</a>.
  ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, <i>Optimal Dyck reachability
    for data-dependence and alias analysis</i>. IST Austria, 2017.
  ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
    for data-dependence and alias analysis, IST Austria, 37p.
  mla: Chatterjee, Krishnendu, et al. <i>Optimal Dyck Reachability for Data-Dependence
    and Alias Analysis</i>. IST Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">10.15479/AT:IST-2017-870-v1-1</a>.
  short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Optimal Dyck Reachability for
    Data-Dependence and Alias Analysis, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2023-02-21T15:54:10Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-870-v1-1
file:
- access_level: open_access
  checksum: 177a84a46e3ac17e87b31534ad16a4c9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:02Z
  date_updated: 2020-07-14T12:46:59Z
  file_id: '5524'
  file_name: IST-2017-870-v1+1_main.pdf
  file_size: 960491
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file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '37'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '870'
related_material:
  record:
  - id: '10416'
    relation: later_version
    status: public
status: public
title: Optimal Dyck reachability for data-dependence and alias analysis
type: technical_report
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2017'
...
---
_id: '5456'
abstract:
- lang: eng
  text: "We present a new dynamic partial-order reduction method for stateless model
    checking of concurrent programs. A common approach for exploring program behaviors
    relies on enumerating the traces of the program, without storing the visited states
    (aka stateless exploration). As the number of distinct traces grows exponentially,
    dynamic partial-order reduction (DPOR) techniques have been successfully used
    to partition the space of traces into equivalence classes (Mazurkiewicz partitioning),
    with the goal of exploring only few representative traces from each class.\r\nWe
    introduce a new equivalence on traces under sequential consistency semantics,
    which we call the observation equivalence. Two traces are observationally equivalent
    if every read event observes the same write event in both traces. While the traditional
    Mazurkiewicz equivalence is control-centric, our new definition is data-centric.
    We show that our observation equivalence is coarser than the Mazurkiewicz equivalence,
    and in many cases even exponentially coarser. We devise a DPOR exploration of
    the trace space, called data-centric DPOR, based on the observation equivalence.\r\n1.
    For acyclic architectures, our algorithm is guaranteed to explore exactly one
    representative trace from each observation class, while spending polynomial time
    per class. Hence, our algorithm is optimal wrt the observation equivalence, and
    in several cases explores exponentially fewer traces than any enumerative method
    based on the Mazurkiewicz equivalence.\r\n2. For cyclic architectures, we consider
    an equivalence between traces which is finer than the observation equivalence;
    but coarser than the Mazurkiewicz equivalence, and in some cases is exponentially
    coarser. Our data-centric DPOR algorithm remains optimal under this trace equivalence.
    \r\nFinally, we perform a basic experimental comparison between the existing Mazurkiewicz-based
    DPOR and our data-centric DPOR on a set of academic benchmarks. Our results show
    a significant reduction in both running time and the number of explored equivalence
    classes."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Marek
  full_name: Chalupa, Marek
  last_name: Chalupa
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Nishant
  full_name: Sinha, Nishant
  last_name: Sinha
- first_name: Kapil
  full_name: Vaidya, Kapil
  last_name: Vaidya
citation:
  ama: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. <i>Data-Centric
    Dynamic Partial Order Reduction</i>. IST Austria; 2017. doi:<a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">10.15479/AT:IST-2017-872-v1-1</a>
  apa: Chalupa, M., Chatterjee, K., Pavlogiannis, A., Sinha, N., &#38; Vaidya, K.
    (2017). <i>Data-centric dynamic partial order reduction</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">https://doi.org/10.15479/AT:IST-2017-872-v1-1</a>
  chicago: Chalupa, Marek, Krishnendu Chatterjee, Andreas Pavlogiannis, Nishant Sinha,
    and Kapil Vaidya. <i>Data-Centric Dynamic Partial Order Reduction</i>. IST Austria,
    2017. <a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">https://doi.org/10.15479/AT:IST-2017-872-v1-1</a>.
  ieee: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, and K. Vaidya, <i>Data-centric
    dynamic partial order reduction</i>. IST Austria, 2017.
  ista: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. 2017. Data-centric
    dynamic partial order reduction, IST Austria, 36p.
  mla: Chalupa, Marek, et al. <i>Data-Centric Dynamic Partial Order Reduction</i>.
    IST Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">10.15479/AT:IST-2017-872-v1-1</a>.
  short: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, K. Vaidya, Data-Centric
    Dynamic Partial Order Reduction, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2023-02-23T12:26:54Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-872-v1-1
file:
- access_level: open_access
  checksum: d2635c4cf013000f0a1b09e80f9e4ab7
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:26Z
  date_updated: 2020-07-14T12:46:59Z
  file_id: '5487'
  file_name: IST-2017-872-v1+1_main.pdf
  file_size: 910347
  relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '36'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '872'
related_material:
  record:
  - id: '10417'
    relation: later_version
    status: public
  - id: '5448'
    relation: earlier_version
    status: public
status: public
title: Data-centric dynamic partial order reduction
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '551'
abstract:
- lang: eng
  text: 'Evolutionary graph theory studies the evolutionary dynamics in a population
    structure given as a connected graph. Each node of the graph represents an individual
    of the population, and edges determine how offspring are placed. We consider the
    classical birth-death Moran process where there are two types of individuals,
    namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates
    the reproductive strength. The evolutionary dynamics happens as follows: in the
    initial step, in a population of all resident individuals a mutant is introduced,
    and then at each step, an individual is chosen proportional to the fitness of
    its type to reproduce, and the offspring replaces a neighbor uniformly at random.
    The process stops when all individuals are either residents or mutants. The probability
    that all individuals in the end are mutants is called the fixation probability,
    which is a key factor in the rate of evolution. We consider the problem of approximating
    the fixation probability. The class of algorithms that is extremely relevant for
    approximation of the fixation probabilities is the Monte-Carlo simulation of the
    process. Previous results present a polynomial-time Monte-Carlo algorithm for
    undirected graphs when r is given in unary. First, we present a simple modification:
    instead of simulating each step, we discard ineffective steps, where no node changes
    type (i.e., either residents replace residents, or mutants replace mutants). Using
    the above simple modification and our result that the number of effective steps
    is concentrated around the expected number of effective steps, we present faster
    polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are
    always at least a factor O(n2/ log n) faster as compared to the previous algorithms,
    where n is the number of nodes, and is polynomial even if r is given in binary.
    We also present lower bounds showing that the upper bound on the expected number
    of effective steps we present is asymptotically tight for undirected graphs. '
alternative_title:
- LIPIcs
article_number: '61'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation
    probability of the Moran process on undirected graphs. In: <i>Leibniz International
    Proceedings in Informatics</i>. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">10.4230/LIPIcs.MFCS.2017.61</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., &#38; Nowak, M. (2017). Faster Monte Carlo
    algorithms for fixation probability of the Moran process on undirected graphs.
    In <i>Leibniz International Proceedings in Informatics</i> (Vol. 83). Aalborg,
    Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">https://doi.org/10.4230/LIPIcs.MFCS.2017.61</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster
    Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected
    Graphs.” In <i>Leibniz International Proceedings in Informatics</i>, Vol. 83.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">https://doi.org/10.4230/LIPIcs.MFCS.2017.61</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms
    for fixation probability of the Moran process on undirected graphs,” in <i>Leibniz
    International Proceedings in Informatics</i>, Aalborg, Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms
    for fixation probability of the Moran process on undirected graphs. Leibniz International
    Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science
    (SG), LIPIcs, vol. 83, 61.'
  mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation
    Probability of the Moran Process on Undirected Graphs.” <i>Leibniz International
    Proceedings in Informatics</i>, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">10.4230/LIPIcs.MFCS.2017.61</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
  start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:34Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.61
file:
- access_level: open_access
  checksum: 2eed5224c0e4e259484a1d71acb8ba6a
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:04Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '5322'
  file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
  file_size: 535077
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: 1
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
  on undirected graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '552'
abstract:
- lang: eng
  text: 'Graph games provide the foundation for modeling and synthesis of reactive
    processes. Such games are played over graphs where the vertices are controlled
    by two adversarial players. We consider graph games where the objective of the
    first player is the conjunction of a qualitative objective (specified as a parity
    condition) and a quantitative objective (specified as a meanpayoff condition).
    There are two variants of the problem, namely, the threshold problem where the
    quantitative goal is to ensure that the mean-payoff value is above a threshold,
    and the value problem where the quantitative goal is to ensure the optimal mean-payoff
    value; in both cases ensuring the qualitative parity objective. The previous best-known
    algorithms for game graphs with n vertices, m edges, parity objectives with d
    priorities, and maximal absolute reward value W for mean-payoff objectives, are
    as follows: O(nd+1 . m . w) for the threshold problem, and O(nd+2 · m · W) for
    the value problem. Our main contributions are faster algorithms, and the running
    times of our algorithms are as follows: O(nd-1 · m ·W) for the threshold problem,
    and O(nd · m · W · log(n · W)) for the value problem. For mean-payoff parity objectives
    with two priorities, our algorithms match the best-known bounds of the algorithms
    for mean-payoff games (without conjunction with parity objectives). Our results
    are relevant in synthesis of reactive systems with both functional requirement
    (given as a qualitative objective) and performance requirement (given as a quantitative
    objective).'
alternative_title:
- LIPIcs
article_number: '39'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Henzinger MH, Svozil A. Faster algorithms for mean-payoff parity
    games. In: <i>Leibniz International Proceedings in Informatics</i>. Vol 83. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">10.4230/LIPIcs.MFCS.2017.39</a>'
  apa: 'Chatterjee, K., Henzinger, M. H., &#38; Svozil, A. (2017). Faster algorithms
    for mean-payoff parity games. In <i>Leibniz International Proceedings in Informatics</i>
    (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">https://doi.org/10.4230/LIPIcs.MFCS.2017.39</a>'
  chicago: Chatterjee, Krishnendu, Monika H Henzinger, and Alexander Svozil. “Faster
    Algorithms for Mean-Payoff Parity Games.” In <i>Leibniz International Proceedings
    in Informatics</i>, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">https://doi.org/10.4230/LIPIcs.MFCS.2017.39</a>.
  ieee: K. Chatterjee, M. H. Henzinger, and A. Svozil, “Faster algorithms for mean-payoff
    parity games,” in <i>Leibniz International Proceedings in Informatics</i>, Aalborg,
    Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Henzinger MH, Svozil A. 2017. Faster algorithms for mean-payoff
    parity games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
    Foundations of Computer Science (SG), LIPIcs, vol. 83, 39.'
  mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Mean-Payoff Parity Games.”
    <i>Leibniz International Proceedings in Informatics</i>, vol. 83, 39, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">10.4230/LIPIcs.MFCS.2017.39</a>.
  short: K. Chatterjee, M.H. Henzinger, A. Svozil, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
  start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-02-14T10:06:46Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.39
ec_funded: 1
file:
- access_level: open_access
  checksum: c67f4866ddbfd555afef1f63ae9a8fc7
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:57Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '5248'
  file_name: IST-2018-923-v1+1_LIPIcs-MFCS-2017-39.pdf
  file_size: 610339
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7262'
pubrep_id: '923'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for mean-payoff parity games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '553'
abstract:
- lang: eng
  text: 'We consider two player, zero-sum, finite-state concurrent reachability games,
    played for an infinite number of rounds, where in every round, each player simultaneously
    and independently of the other players chooses an action, whereafter the successor
    state is determined by a probability distribution given by the current state and
    the chosen actions. Player 1 wins iff a designated goal state is eventually visited.
    We are interested in the complexity of stationary strategies measured by their
    patience, which is defined as the inverse of the smallest non-zero probability
    employed. Our main results are as follows: We show that: (i) the optimal bound
    on the patience of optimal and -optimal strategies, for both players is doubly
    exponential; and (ii) even in games with a single non-absorbing state exponential
    (in the number of actions) patience is necessary. '
alternative_title:
- LIPIcs
article_number: '55'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Kristofer
  full_name: Hansen, Kristofer
  last_name: Hansen
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
citation:
  ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent
    safety games. In: <i>Leibniz International Proceedings in Informatics</i>. Vol
    83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">10.4230/LIPIcs.MFCS.2017.55</a>'
  apa: 'Chatterjee, K., Hansen, K., &#38; Ibsen-Jensen, R. (2017). Strategy complexity
    of concurrent safety games. In <i>Leibniz International Proceedings in Informatics</i>
    (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">https://doi.org/10.4230/LIPIcs.MFCS.2017.55</a>'
  chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy
    Complexity of Concurrent Safety Games.” In <i>Leibniz International Proceedings
    in Informatics</i>, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">https://doi.org/10.4230/LIPIcs.MFCS.2017.55</a>.
  ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent
    safety games,” in <i>Leibniz International Proceedings in Informatics</i>, Aalborg,
    Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent
    safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
    Foundations of Computer Science (SG), LIPIcs, vol. 83, 55.'
  mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.”
    <i>Leibniz International Proceedings in Informatics</i>, vol. 83, 55, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">10.4230/LIPIcs.MFCS.2017.55</a>.
  short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
  start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:35Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.55
file:
- access_level: open_access
  checksum: 7101facb56ade363205c695d72dbd173
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:29Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '4753'
  file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf
  file_size: 549967
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1506.02434
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7261'
pubrep_id: '922'
quality_controlled: '1'
scopus_import: 1
status: public
title: Strategy complexity of concurrent safety games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '5559'
abstract:
- lang: eng
  text: Strong amplifiers of natural selection
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- 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: Nowak , Martin
  last_name: 'Nowak '
citation:
  ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. Strong amplifiers of natural
    selection. 2017. doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>
  apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak , M. (2017). Strong
    amplifiers of natural selection. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>
  chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak . “Strong Amplifiers of Natural Selection.” Institute of Science and Technology
    Austria, 2017. <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>.
  ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak , “Strong amplifiers
    of natural selection.” Institute of Science and Technology Austria, 2017.
  ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. 2017. Strong amplifiers
    of natural selection, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  mla: Pavlogiannis, Andreas, et al. <i>Strong Amplifiers of Natural Selection</i>.
    Institute of Science and Technology Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak , (2017).
datarep_id: '51'
date_created: 2018-12-12T12:31:32Z
date_published: 2017-01-02T00:00:00Z
date_updated: 2024-02-21T13:48:42Z
day: '02'
ddc:
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:ISTA:51
ec_funded: 1
file:
- access_level: open_access
  checksum: b427dd46a30096a1911b245640c47af8
  content_type: video/mp4
  creator: system
  date_created: 2018-12-12T13:05:18Z
  date_updated: 2020-07-14T12:47:02Z
  file_id: '5644'
  file_name: IST-2017-51-v1+2_illustration.mp4
  file_size: 32987015
  relation: main_file
file_date_updated: 2020-07-14T12:47:02Z
has_accepted_license: '1'
keyword:
- natural selection
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '5452'
    relation: research_paper
    status: public
  - id: '5751'
    relation: research_paper
    status: public
status: public
title: Strong amplifiers of natural selection
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '625'
abstract:
- lang: eng
  text: In the analysis of reactive systems a quantitative objective assigns a real
    value to every trace of the system. The value decision problem for a quantitative
    objective requires a trace whose value is at least a given threshold, and the
    exact value decision problem requires a trace whose value is exactly the threshold.
    We compare the computational complexity of the value and exact value decision
    problems for classical quantitative objectives, such as sum, discounted sum, energy,
    and mean-payoff for two standard models of reactive systems, namely, graphs and
    graph games.
acknowledgement: 'This research was supported in part by the Austrian Science Fund
  (FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein
  Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund
  (WWTF) through project ICT15-003.'
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
- 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. The cost of exactness in quantitative
    reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds.
    <i>Models, Algorithms, Logics and Tools</i>. Vol 10460. Theoretical Computer Science
    and General Issues. Springer; 2017:367-381. doi:<a href="https://doi.org/10.1007/978-3-319-63121-9_18">10.1007/978-3-319-63121-9_18</a>'
  apa: Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2017). The cost of exactness
    in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay,
    &#38; R. Mardare (Eds.), <i>Models, Algorithms, Logics and Tools</i> (Vol. 10460,
    pp. 367–381). Springer. <a href="https://doi.org/10.1007/978-3-319-63121-9_18">https://doi.org/10.1007/978-3-319-63121-9_18</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost
    of Exactness in Quantitative Reachability.” In <i>Models, Algorithms, Logics and
    Tools</i>, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay,
    and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues.
    Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-63121-9_18">https://doi.org/10.1007/978-3-319-63121-9_18</a>.
  ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative
    reachability,” in <i>Models, Algorithms, Logics and Tools</i>, vol. 10460, L.
    Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017,
    pp. 367–381.
  ista: 'Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative
    reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.'
  mla: Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.”
    <i>Models, Algorithms, Logics and Tools</i>, edited by Luca Aceto et al., vol.
    10460, Springer, 2017, pp. 367–81, doi:<a href="https://doi.org/10.1007/978-3-319-63121-9_18">10.1007/978-3-319-63121-9_18</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir,
    A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017,
    pp. 367–381.
date_created: 2018-12-11T11:47:34Z
date_published: 2017-07-25T00:00:00Z
date_updated: 2025-06-02T08:53:45Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-63121-9_18
ec_funded: 1
editor:
- first_name: Luca
  full_name: Aceto, Luca
  last_name: Aceto
- first_name: Giorgio
  full_name: Bacci, Giorgio
  last_name: Bacci
- first_name: Anna
  full_name: Ingólfsdóttir, Anna
  last_name: Ingólfsdóttir
- first_name: Axel
  full_name: Legay, Axel
  last_name: Legay
- first_name: Radu
  full_name: Mardare, Radu
  last_name: Mardare
file:
- access_level: open_access
  checksum: b2402766ec02c79801aac634bd8f9f6c
  content_type: application/pdf
  creator: dernst
  date_created: 2019-11-19T08:06:50Z
  date_updated: 2020-07-14T12:47:25Z
  file_id: '7048'
  file_name: 2017_ModelsAlgorithms_Chatterjee.pdf
  file_size: 192826
  relation: main_file
file_date_updated: 2020-07-14T12:47:25Z
has_accepted_license: '1'
intvolume: '     10460'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 367 - 381
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Models, Algorithms, Logics and Tools
publication_identifier:
  isbn:
  - 978-3-319-63120-2
  issn:
  - 0302-9743
publication_status: published
publisher: Springer
publist_id: '7170'
quality_controlled: '1'
scopus_import: '1'
series_title: Theoretical Computer Science and General Issues
status: public
title: The cost of exactness in quantitative reachability
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10460
year: '2017'
...
---
_id: '628'
abstract:
- lang: eng
  text: We consider the problem of developing automated techniques for solving recurrence
    relations to aid the expected-runtime analysis of programs. The motivation is
    that several classical textbook algorithms have quite efficient expected-runtime
    complexity, whereas the corresponding worst-case bounds are either inefficient
    (e.g., Quick-Sort), or completely ineffective (e.g., Coupon-Collector). Since
    the main focus of expected-runtime analysis is to obtain efficient bounds, we
    consider bounds that are either logarithmic, linear or almost-linear (O(log n),
    O(n), O(n · log n), respectively, where n represents the input size). Our main
    contribution is an efficient (simple linear-time algorithm) sound approach for
    deriving such expected-runtime bounds for the analysis of recurrence relations
    induced by randomized algorithms. The experimental results show that our approach
    can efficiently derive asymptotically optimal expected-runtime bounds for recurrences
    of classical randomized algorithms, including Randomized-Search, Quick-Sort, Quick-Select,
    Coupon-Collector, where the worst-case bounds are either inefficient (such as
    linear as compared to logarithmic expected-runtime complexity, or quadratic as
    compared to linear or almost-linear expected-runtime complexity), or ineffective.
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: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Aniket
  full_name: Murhekar, Aniket
  last_name: Murhekar
citation:
  ama: 'Chatterjee K, Fu H, Murhekar A. Automated recurrence analysis for almost linear
    expected runtime bounds. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:118-139.
    doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_6">10.1007/978-3-319-63387-9_6</a>'
  apa: 'Chatterjee, K., Fu, H., &#38; Murhekar, A. (2017). Automated recurrence analysis
    for almost linear expected runtime bounds. In R. Majumdar &#38; V. Kunčak (Eds.)
    (Vol. 10426, pp. 118–139). Presented at the CAV: Computer Aided Verification,
    Heidelberg, Germany: Springer. <a href="https://doi.org/10.1007/978-3-319-63387-9_6">https://doi.org/10.1007/978-3-319-63387-9_6</a>'
  chicago: Chatterjee, Krishnendu, Hongfei Fu, and Aniket Murhekar. “Automated Recurrence
    Analysis for Almost Linear Expected Runtime Bounds.” edited by Rupak Majumdar
    and Viktor Kunčak, 10426:118–39. Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-63387-9_6">https://doi.org/10.1007/978-3-319-63387-9_6</a>.
  ieee: 'K. Chatterjee, H. Fu, and A. Murhekar, “Automated recurrence analysis for
    almost linear expected runtime bounds,” presented at the CAV: Computer Aided Verification,
    Heidelberg, Germany, 2017, vol. 10426, pp. 118–139.'
  ista: 'Chatterjee K, Fu H, Murhekar A. 2017. Automated recurrence analysis for almost
    linear expected runtime bounds. CAV: Computer Aided Verification, LNCS, vol. 10426,
    118–139.'
  mla: Chatterjee, Krishnendu, et al. <i>Automated Recurrence Analysis for Almost
    Linear Expected Runtime Bounds</i>. Edited by Rupak Majumdar and Viktor Kunčak,
    vol. 10426, Springer, 2017, pp. 118–39, doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_6">10.1007/978-3-319-63387-9_6</a>.
  short: K. Chatterjee, H. Fu, A. Murhekar, in:, R. Majumdar, V. Kunčak (Eds.), Springer,
    2017, pp. 118–139.
conference:
  end_date: 2017-07-28
  location: Heidelberg, Germany
  name: 'CAV: Computer Aided Verification'
  start_date: 2017-07-24
date_created: 2018-12-11T11:47:35Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:06:55Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63387-9_6
ec_funded: 1
editor:
- first_name: Rupak
  full_name: Majumdar, Rupak
  last_name: Majumdar
- first_name: Viktor
  full_name: Kunčak, Viktor
  last_name: Kunčak
intvolume: '     10426'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.00314
month: '01'
oa: 1
oa_version: Submitted Version
page: 118 - 139
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
  isbn:
  - 978-331963386-2
publication_status: published
publisher: Springer
publist_id: '7166'
quality_controlled: '1'
scopus_import: 1
status: public
title: Automated recurrence analysis for almost linear expected runtime bounds
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 10426
year: '2017'
...
---
_id: '639'
abstract:
- lang: eng
  text: We study the problem of developing efficient approaches for proving worst-case
    bounds of non-deterministic recursive programs. Ranking functions are sound and
    complete for proving termination and worst-case bounds of non-recursive programs.
    First, we apply ranking functions to recursion, resulting in measure functions,
    and show that they provide a sound and complete approach to prove worst-case bounds
    of non-deterministic recursive programs. Our second contribution is the synthesis
    of measure functions in non-polynomial forms. We show that non-polynomial measure
    functions with logarithm and exponentiation can be synthesized through abstraction
    of logarithmic or exponentiation terms, Farkas’ Lemma, and Handelman’s Theorem
    using linear programming. While previous methods obtain worst-case polynomial
    bounds, our approach can synthesize bounds of the form O(n log n) as well as O(nr)
    where r is not an integer. We present experimental results to demonstrate that
    our approach can efficiently obtain worst-case bounds of classical recursive algorithms
    such as Merge-Sort, Closest-Pair, Karatsuba’s algorithm and Strassen’s algorithm.
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: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Amir
  full_name: Goharshady, Amir
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
citation:
  ama: 'Chatterjee K, Fu H, Goharshady AK. Non-polynomial worst case analysis of recursive
    programs. In: Majumdar R, Kunčak V, eds. Vol 10427. Springer; 2017:41-63. doi:<a
    href="https://doi.org/10.1007/978-3-319-63390-9_3">10.1007/978-3-319-63390-9_3</a>'
  apa: 'Chatterjee, K., Fu, H., &#38; Goharshady, A. K. (2017). Non-polynomial worst
    case analysis of recursive programs. In R. Majumdar &#38; V. Kunčak (Eds.) (Vol.
    10427, pp. 41–63). Presented at the CAV: Computer Aided Verification, Heidelberg,
    Germany: Springer. <a href="https://doi.org/10.1007/978-3-319-63390-9_3">https://doi.org/10.1007/978-3-319-63390-9_3</a>'
  chicago: Chatterjee, Krishnendu, Hongfei Fu, and Amir Kafshdar Goharshady. “Non-Polynomial
    Worst Case Analysis of Recursive Programs.” edited by Rupak Majumdar and Viktor
    Kunčak, 10427:41–63. Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-63390-9_3">https://doi.org/10.1007/978-3-319-63390-9_3</a>.
  ieee: 'K. Chatterjee, H. Fu, and A. K. Goharshady, “Non-polynomial worst case analysis
    of recursive programs,” presented at the CAV: Computer Aided Verification, Heidelberg,
    Germany, 2017, vol. 10427, pp. 41–63.'
  ista: 'Chatterjee K, Fu H, Goharshady AK. 2017. Non-polynomial worst case analysis
    of recursive programs. CAV: Computer Aided Verification, LNCS, vol. 10427, 41–63.'
  mla: Chatterjee, Krishnendu, et al. <i>Non-Polynomial Worst Case Analysis of Recursive
    Programs</i>. Edited by Rupak Majumdar and Viktor Kunčak, vol. 10427, Springer,
    2017, pp. 41–63, doi:<a href="https://doi.org/10.1007/978-3-319-63390-9_3">10.1007/978-3-319-63390-9_3</a>.
  short: K. Chatterjee, H. Fu, A.K. Goharshady, in:, R. Majumdar, V. Kunčak (Eds.),
    Springer, 2017, pp. 41–63.
conference:
  end_date: 2017-07-28
  location: Heidelberg, Germany
  name: 'CAV: Computer Aided Verification'
  start_date: 2017-07-24
date_created: 2018-12-11T11:47:39Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-06-02T08:53:47Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63390-9_3
ec_funded: 1
editor:
- first_name: Rupak
  full_name: Majumdar, Rupak
  last_name: Majumdar
- first_name: Viktor
  full_name: Kunčak, Viktor
  last_name: Kunčak
external_id:
  arxiv:
  - '1705.00317'
intvolume: '     10427'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.00317
month: '01'
oa: 1
oa_version: Submitted Version
page: 41 - 63
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
  isbn:
  - 978-331963389-3
publication_status: published
publisher: Springer
publist_id: '7149'
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
  - id: '7014'
    relation: later_version
    status: public
scopus_import: 1
status: public
title: Non-polynomial worst case analysis of recursive programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10427
year: '2017'
...
---
_id: '645'
abstract:
- lang: eng
  text: Markov decision processes (MDPs) are standard models for probabilistic systems
    with non-deterministic behaviours. Long-run average rewards provide a mathematically
    elegant formalism for expressing long term performance. Value iteration (VI) is
    one of the simplest and most efficient algorithmic approaches to MDPs with other
    properties, such as reachability objectives. Unfortunately, a naive extension
    of VI does not work for MDPs with long-run average rewards, as there is no known
    stopping criterion. In this work our contributions are threefold. (1) We refute
    a conjecture related to stopping criteria for MDPs with long-run average rewards.
    (2) We present two practical algorithms for MDPs with long-run average rewards
    based on VI. First, we show that a combination of applying VI locally for each
    maximal end-component (MEC) and VI for reachability objectives can provide approximation
    guarantees. Second, extending the above approach with a simulation-guided on-demand
    variant of VI, we present an anytime algorithm that is able to deal with very
    large models. (3) Finally, we present experimental results showing that our methods
    significantly outperform the standard approaches on several benchmarks.
alternative_title:
- LNCS
author:
- first_name: Pranav
  full_name: Ashok, Pranav
  last_name: Ashok
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Przemyslaw
  full_name: Daca, Przemyslaw
  id: 49351290-F248-11E8-B48F-1D18A9856A87
  last_name: Daca
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  last_name: Meggendorfer
citation:
  ama: 'Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. Value iteration
    for long run average reward in markov decision processes. In: Majumdar R, Kunčak
    V, eds. Vol 10426. Springer; 2017:201-221. doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_10">10.1007/978-3-319-63387-9_10</a>'
  apa: 'Ashok, P., Chatterjee, K., Daca, P., Kretinsky, J., &#38; Meggendorfer, T.
    (2017). Value iteration for long run average reward in markov decision processes.
    In R. Majumdar &#38; V. Kunčak (Eds.) (Vol. 10426, pp. 201–221). Presented at
    the CAV: Computer Aided Verification, Heidelberg, Germany: Springer. <a href="https://doi.org/10.1007/978-3-319-63387-9_10">https://doi.org/10.1007/978-3-319-63387-9_10</a>'
  chicago: Ashok, Pranav, Krishnendu Chatterjee, Przemyslaw Daca, Jan Kretinsky, and
    Tobias Meggendorfer. “Value Iteration for Long Run Average Reward in Markov Decision
    Processes.” edited by Rupak Majumdar and Viktor Kunčak, 10426:201–21. Springer,
    2017. <a href="https://doi.org/10.1007/978-3-319-63387-9_10">https://doi.org/10.1007/978-3-319-63387-9_10</a>.
  ieee: 'P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, and T. Meggendorfer, “Value
    iteration for long run average reward in markov decision processes,” presented
    at the CAV: Computer Aided Verification, Heidelberg, Germany, 2017, vol. 10426,
    pp. 201–221.'
  ista: 'Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. 2017. Value iteration
    for long run average reward in markov decision processes. CAV: Computer Aided
    Verification, LNCS, vol. 10426, 201–221.'
  mla: Ashok, Pranav, et al. <i>Value Iteration for Long Run Average Reward in Markov
    Decision Processes</i>. Edited by Rupak Majumdar and Viktor Kunčak, vol. 10426,
    Springer, 2017, pp. 201–21, doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_10">10.1007/978-3-319-63387-9_10</a>.
  short: P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, T. Meggendorfer, in:, R.
    Majumdar, V. Kunčak (Eds.), Springer, 2017, pp. 201–221.
conference:
  end_date: 2017-07-28
  location: Heidelberg, Germany
  name: 'CAV: Computer Aided Verification'
  start_date: 2017-07-24
date_created: 2018-12-11T11:47:41Z
date_published: 2017-07-13T00:00:00Z
date_updated: 2021-01-12T08:07:32Z
day: '13'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63387-9_10
ec_funded: 1
editor:
- first_name: Rupak
  full_name: Majumdar, Rupak
  last_name: Majumdar
- first_name: Viktor
  full_name: Kunčak, Viktor
  last_name: Kunčak
intvolume: '     10426'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.02326
month: '07'
oa: 1
oa_version: Submitted Version
page: 201 - 221
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
  isbn:
  - 978-331963386-2
publication_status: published
publisher: Springer
publist_id: '7135'
quality_controlled: '1'
scopus_import: 1
status: public
title: Value iteration for long run average reward in markov decision processes
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 10426
year: '2017'
...
---
_id: '6519'
abstract:
- lang: eng
  text: 'Graph games with omega-regular winning conditions provide a mathematical
    framework to analyze a wide range of problems in the analysis of reactive systems
    and programs (such as the synthesis of reactive systems, program repair, and the
    verification of branching time properties). Parity conditions are canonical forms
    to specify omega-regular winning conditions. Graph games with parity conditions
    are equivalent to mu-calculus model checking, and thus a very important algorithmic
    problem. Symbolic algorithms are of great significance because they provide scalable
    algorithms for the analysis of large finite-state systems, as well as algorithms
    for the analysis of infinite-state systems with finite quotient. A set-based symbolic
    algorithm uses the basic set operations and the one-step predecessor operators.
    We consider graph games with n vertices and parity conditions with c priorities
    (equivalently, a mu-calculus formula with c alternations of least and greatest
    fixed points). While many explicit algorithms exist for graph games with parity
    conditions, for set-based symbolic algorithms there are only two algorithms (notice
    that we use space to refer to the number of sets stored by a symbolic algorithm):
    (a) the basic algorithm that requires O(n^c) symbolic operations and linear space;
    and (b) an improved algorithm that requires O(n^{c/2+1}) symbolic operations but
    also O(n^{c/2+1}) space (i.e., exponential space). In this work we present two
    set-based symbolic algorithms for parity games: (a) our first algorithm requires
    O(n^{c/2+1}) symbolic operations and only requires linear space; and (b) developing
    on our first algorithm, we present an algorithm that requires O(n^{c/3+1}) symbolic
    operations and only linear space. We also present the first linear space set-based
    symbolic algorithm for parity games that requires at most a sub-exponential number
    of symbolic operations. '
article_number: '18'
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: Wolfgang
  full_name: Dvorák, Wolfgang
  last_name: Dvorák
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Veronika
  full_name: Loitzenbauer, Veronika
  last_name: Loitzenbauer
citation:
  ama: 'Chatterjee K, Dvorák W, Henzinger MH, Loitzenbauer V. Improved set-based symbolic
    algorithms for parity games. In: Vol 82. Schloss Dagstuhl -Leibniz-Zentrum fuer
    Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPICS.CSL.2017.18">10.4230/LIPICS.CSL.2017.18</a>'
  apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., &#38; Loitzenbauer, V. (2017).
    Improved set-based symbolic algorithms for parity games (Vol. 82). Presented at
    the CSL: Conference on Computer Science Logic, Stockholm, Sweden: Schloss Dagstuhl
    -Leibniz-Zentrum fuer Informatik. <a href="https://doi.org/10.4230/LIPICS.CSL.2017.18">https://doi.org/10.4230/LIPICS.CSL.2017.18</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Veronika
    Loitzenbauer. “Improved Set-Based Symbolic Algorithms for Parity Games,” Vol.
    82. Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, 2017. <a href="https://doi.org/10.4230/LIPICS.CSL.2017.18">https://doi.org/10.4230/LIPICS.CSL.2017.18</a>.
  ieee: 'K. Chatterjee, W. Dvorák, M. H. Henzinger, and V. Loitzenbauer, “Improved
    set-based symbolic algorithms for parity games,” presented at the CSL: Conference
    on Computer Science Logic, Stockholm, Sweden, 2017, vol. 82.'
  ista: 'Chatterjee K, Dvorák W, Henzinger MH, Loitzenbauer V. 2017. Improved set-based
    symbolic algorithms for parity games. CSL: Conference on Computer Science Logic
    vol. 82, 18.'
  mla: Chatterjee, Krishnendu, et al. <i>Improved Set-Based Symbolic Algorithms for
    Parity Games</i>. Vol. 82, 18, Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik,
    2017, doi:<a href="https://doi.org/10.4230/LIPICS.CSL.2017.18">10.4230/LIPICS.CSL.2017.18</a>.
  short: K. Chatterjee, W. Dvorák, M.H. Henzinger, V. Loitzenbauer, in:, Schloss Dagstuhl
    -Leibniz-Zentrum fuer Informatik, 2017.
conference:
  end_date: 2017-08-24
  location: Stockholm, Sweden
  name: 'CSL: Conference on Computer Science Logic'
  start_date: 2017-08-20
date_created: 2019-06-04T12:42:43Z
date_published: 2017-08-01T00:00:00Z
date_updated: 2025-06-02T08:53:46Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CSL.2017.18
ec_funded: 1
file:
- access_level: open_access
  checksum: 7c2c9d09970af79026d7e37d9b632ef8
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-06-04T12:56:52Z
  date_updated: 2020-07-14T12:47:33Z
  file_id: '6520'
  file_name: 2017_LIPIcs-Chatterjee.pdf
  file_size: 710185
  relation: main_file
file_date_updated: 2020-07-14T12:47:33Z
has_accepted_license: '1'
intvolume: '        82'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Improved set-based symbolic algorithms for parity games
tmp:
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  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 82
year: '2017'
...
