---
_id: '3361'
abstract:
- lang: eng
  text: In this paper, we investigate the computational complexity of quantitative
    information flow (QIF) problems. Information-theoretic quantitative relaxations
    of noninterference (based on Shannon entropy)have been introduced to enable more
    fine-grained reasoning about programs in situations where limited information
    flow is acceptable. The QIF bounding problem asks whether the information flow
    in a given program is bounded by a constant $d$. Our first result is that the
    QIF bounding problem is PSPACE-complete. The QIF memoryless synthesis problem
    asks whether it is possible to resolve nondeterministic choices in a given partial
    program in such a way that in the resulting deterministic program, the quantitative
    information flow is bounded by a given constant $d$. Our second result is that
    the QIF memoryless synthesis problem is also EXPTIME-complete. The QIF memoryless
    synthesis problem generalizes to QIF general synthesis problem which does not
    impose the memoryless requirement (that is, by allowing the synthesized program
    to have more variables then the original partial program). Our third result is
    that the QIF general synthesis problem is EXPTIME-hard.
article_processing_charge: No
author:
- first_name: Pavol
  full_name: Cerny, Pavol
  id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
  last_name: Cerny
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Cerny P, Chatterjee K, Henzinger TA. The complexity of quantitative information
    flow problems. In: IEEE; 2011:205-217. doi:<a href="https://doi.org/10.1109/CSF.2011.21">10.1109/CSF.2011.21</a>'
  apa: 'Cerny, P., Chatterjee, K., &#38; Henzinger, T. A. (2011). The complexity of
    quantitative information flow problems (pp. 205–217). Presented at the CSF: Computer
    Security Foundations, Cernay-la-Ville, France: IEEE. <a href="https://doi.org/10.1109/CSF.2011.21">https://doi.org/10.1109/CSF.2011.21</a>'
  chicago: Cerny, Pavol, Krishnendu Chatterjee, and Thomas A Henzinger. “The Complexity
    of Quantitative Information Flow Problems,” 205–17. IEEE, 2011. <a href="https://doi.org/10.1109/CSF.2011.21">https://doi.org/10.1109/CSF.2011.21</a>.
  ieee: 'P. Cerny, K. Chatterjee, and T. A. Henzinger, “The complexity of quantitative
    information flow problems,” presented at the CSF: Computer Security Foundations,
    Cernay-la-Ville, France, 2011, pp. 205–217.'
  ista: 'Cerny P, Chatterjee K, Henzinger TA. 2011. The complexity of quantitative
    information flow problems. CSF: Computer Security Foundations, 205–217.'
  mla: Cerny, Pavol, et al. <i>The Complexity of Quantitative Information Flow Problems</i>.
    IEEE, 2011, pp. 205–17, doi:<a href="https://doi.org/10.1109/CSF.2011.21">10.1109/CSF.2011.21</a>.
  short: P. Cerny, K. Chatterjee, T.A. Henzinger, in:, IEEE, 2011, pp. 205–217.
conference:
  end_date: 2011-06-29
  location: Cernay-la-Ville, France
  name: 'CSF: Computer Security Foundations'
  start_date: 2011-06-27
corr_author: '1'
date_created: 2018-12-11T12:02:54Z
date_published: 2011-06-27T00:00:00Z
date_updated: 2025-09-30T09:04:15Z
day: '27'
ddc:
- '000'
- '005'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1109/CSF.2011.21
ec_funded: 1
external_id:
  isi:
  - '000300766400014'
file:
- access_level: open_access
  checksum: 1a25be0c62459fc7640db88af08ff63a
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:10:07Z
  date_updated: 2020-07-14T12:46:10Z
  file_id: '4792'
  file_name: IST-2012-81-v1+1_The_complexity_of_quantitative_information_flow_problems.pdf
  file_size: 299069
  relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 205 - 217
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: IEEE
publist_id: '3254'
pubrep_id: '81'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of quantitative information flow problems
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2011'
...
---
_id: '3363'
abstract:
- lang: eng
  text: We consider probabilistic automata on infinite words with acceptance defined
    by safety, reachability, Büchi, coBüchi, and limit-average conditions. We consider
    quantitative and qualitative decision problems. We present extensions and adaptations
    of proofs for probabilistic finite automata and present a complete characterization
    of the decidability and undecidability frontier of the quantitative and qualitative
    decision problems for probabilistic automata on infinite words.
article_number: '1104.0127'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Mathieu
  full_name: Tracol, Mathieu
  id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
  last_name: Tracol
citation:
  ama: Chatterjee K, Henzinger TA, Tracol M. The decidability frontier for probabilistic
    automata on infinite words. doi:<a href="https://doi.org/10.48550/arXiv.1104.0127">10.48550/arXiv.1104.0127</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Tracol, M. (n.d.). The decidability
    frontier for probabilistic automata on infinite words. ArXiv. <a href="https://doi.org/10.48550/arXiv.1104.0127">https://doi.org/10.48550/arXiv.1104.0127</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Mathieu Tracol. “The Decidability
    Frontier for Probabilistic Automata on Infinite Words.” ArXiv, n.d. <a href="https://doi.org/10.48550/arXiv.1104.0127">https://doi.org/10.48550/arXiv.1104.0127</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and M. Tracol, “The decidability frontier
    for probabilistic automata on infinite words.” ArXiv.
  ista: Chatterjee K, Henzinger TA, Tracol M. The decidability frontier for probabilistic
    automata on infinite words. 1104.0127.
  mla: Chatterjee, Krishnendu, et al. <i>The Decidability Frontier for Probabilistic
    Automata on Infinite Words</i>. 1104.0127, ArXiv, doi:<a href="https://doi.org/10.48550/arXiv.1104.0127">10.48550/arXiv.1104.0127</a>.
  short: K. Chatterjee, T.A. Henzinger, M. Tracol, (n.d.).
corr_author: '1'
date_created: 2018-12-11T12:02:54Z
date_published: 2011-04-01T00:00:00Z
date_updated: 2025-06-26T09:19:59Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.48550/arXiv.1104.0127
ec_funded: 1
external_id:
  arxiv:
  - '1104.0127'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1104.0127
month: '04'
oa: 1
oa_version: Preprint
page: '19'
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
publication_status: submitted
publisher: ArXiv
publist_id: '3251'
status: public
title: The decidability frontier for probabilistic automata on infinite words
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3365'
abstract:
- lang: eng
  text: We present the tool Quasy, a quantitative synthesis tool. Quasy takes qualitative
    and quantitative specifications and automatically constructs a system that satisfies
    the qualitative specification and optimizes the quantitative specification, if
    such a system exists. The user can choose between a system that satisfies and
    optimizes the specifications (a) under all possible environment behaviors or (b)
    under the most-likely environment behaviors given as a probability distribution
    on the possible input sequences. Quasy solves these two quantitative synthesis
    problems by reduction to instances of 2-player games and Markov Decision Processes
    (MDPs) with quantitative winning objectives. Quasy can also be seen as a game
    solver for quantitative games. Most notable, it can solve lexicographic mean-payoff
    games with 2 players, MDPs with mean-payoff objectives, and ergodic MDPs with
    mean-payoff parity objectives.
alternative_title:
- LNCS
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Singh R. QUASY: quantitative synthesis
    tool. In: Vol 6605. Springer; 2011:267-271. doi:<a href="https://doi.org/10.1007/978-3-642-19835-9_24">10.1007/978-3-642-19835-9_24</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Singh, R. (2011). QUASY:
    quantitative synthesis tool (Vol. 6605, pp. 267–271). Presented at the TACAS:
    Tools and Algorithms for the Construction and Analysis of Systems, Saarbrucken,
    Germany: Springer. <a href="https://doi.org/10.1007/978-3-642-19835-9_24">https://doi.org/10.1007/978-3-642-19835-9_24</a>'
  chicago: 'Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit
    Singh. “QUASY: Quantitative Synthesis Tool,” 6605:267–71. Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-19835-9_24">https://doi.org/10.1007/978-3-642-19835-9_24</a>.'
  ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “QUASY: quantitative
    synthesis tool,” presented at the TACAS: Tools and Algorithms for the Construction
    and Analysis of Systems, Saarbrucken, Germany, 2011, vol. 6605, pp. 267–271.'
  ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2011. QUASY: quantitative
    synthesis tool. TACAS: Tools and Algorithms for the Construction and Analysis
    of Systems, LNCS, vol. 6605, 267–271.'
  mla: 'Chatterjee, Krishnendu, et al. <i>QUASY: Quantitative Synthesis Tool</i>.
    Vol. 6605, Springer, 2011, pp. 267–71, doi:<a href="https://doi.org/10.1007/978-3-642-19835-9_24">10.1007/978-3-642-19835-9_24</a>.'
  short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, in:, Springer, 2011,
    pp. 267–271.
conference:
  end_date: 2011-04-03
  location: Saarbrucken, Germany
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2011-03-26
date_created: 2018-12-11T12:02:55Z
date_published: 2011-09-29T00:00:00Z
date_updated: 2021-01-12T07:42:58Z
day: '29'
ddc:
- '000'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-19835-9_24
file:
- access_level: open_access
  checksum: 762e52eb296f6dbfbf2a75d98b8ebaee
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:37Z
  date_updated: 2020-07-14T12:46:10Z
  file_id: '5022'
  file_name: IST-2012-77-v1+1_QUASY-_quantitative_synthesis_tool.pdf
  file_size: 475661
  relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
intvolume: '      6605'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 267 - 271
publication_status: published
publisher: Springer
publist_id: '3248'
pubrep_id: '77'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'QUASY: quantitative synthesis tool'
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6605
year: '2011'
...
---
_id: '3366'
abstract:
- lang: eng
  text: 'We present an algorithmic method for the quantitative, performance-aware
    synthesis of concurrent programs. The input consists of a nondeterministic partial
    program and of a parametric performance model. The nondeterminism allows the programmer
    to omit which (if any) synchronization construct is used at a particular program
    location. The performance model, specified as a weighted automaton, can capture
    system architectures by assigning different costs to actions such as locking,
    context switching, and memory and cache accesses. The quantitative synthesis problem
    is to automatically resolve the nondeterminism of the partial program so that
    both correctness is guaranteed and performance is optimal. As is standard for
    shared memory concurrency, correctness is formalized &quot;specification free&quot;,
    in particular as race freedom or deadlock freedom. For worst-case (average-case)
    performance, we show that the problem can be reduced to 2-player graph games (with
    probabilistic transitions) with quantitative objectives. While we show, using
    game-theoretic methods, that the synthesis problem is Nexp-complete, we present
    an algorithmic method and an implementation that works efficiently for concurrent
    programs and performance models of practical interest. We have implemented a prototype
    tool and used it to synthesize finite-state concurrent programs that exhibit different
    programming patterns, for several performance models representing different architectures. '
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Pavol
  full_name: Cerny, Pavol
  id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
  last_name: Cerny
- 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: Arjun
  full_name: Radhakrishna, Arjun
  id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
  last_name: Radhakrishna
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: 'Cerny P, Chatterjee K, Henzinger TA, Radhakrishna A, Singh R. Quantitative
    synthesis for concurrent programs. In: Gopalakrishnan G, Qadeer S, eds. Vol 6806.
    Springer; 2011:243-259. doi:<a href="https://doi.org/10.1007/978-3-642-22110-1_20">10.1007/978-3-642-22110-1_20</a>'
  apa: 'Cerny, P., Chatterjee, K., Henzinger, T. A., Radhakrishna, A., &#38; Singh,
    R. (2011). Quantitative synthesis for concurrent programs. In G. Gopalakrishnan
    &#38; S. Qadeer (Eds.) (Vol. 6806, pp. 243–259). Presented at the CAV: Computer
    Aided Verification, Snowbird, USA: Springer. <a href="https://doi.org/10.1007/978-3-642-22110-1_20">https://doi.org/10.1007/978-3-642-22110-1_20</a>'
  chicago: Cerny, Pavol, Krishnendu Chatterjee, Thomas A Henzinger, Arjun Radhakrishna,
    and Rohit Singh. “Quantitative Synthesis for Concurrent Programs.” edited by Ganesh
    Gopalakrishnan and Shaz Qadeer, 6806:243–59. Springer, 2011. <a href="https://doi.org/10.1007/978-3-642-22110-1_20">https://doi.org/10.1007/978-3-642-22110-1_20</a>.
  ieee: 'P. Cerny, K. Chatterjee, T. A. Henzinger, A. Radhakrishna, and R. Singh,
    “Quantitative synthesis for concurrent programs,” presented at the CAV: Computer
    Aided Verification, Snowbird, USA, 2011, vol. 6806, pp. 243–259.'
  ista: 'Cerny P, Chatterjee K, Henzinger TA, Radhakrishna A, Singh R. 2011. Quantitative
    synthesis for concurrent programs. CAV: Computer Aided Verification, LNCS, vol.
    6806, 243–259.'
  mla: Cerny, Pavol, et al. <i>Quantitative Synthesis for Concurrent Programs</i>.
    Edited by Ganesh Gopalakrishnan and Shaz Qadeer, vol. 6806, Springer, 2011, pp.
    243–59, doi:<a href="https://doi.org/10.1007/978-3-642-22110-1_20">10.1007/978-3-642-22110-1_20</a>.
  short: P. Cerny, K. Chatterjee, T.A. Henzinger, A. Radhakrishna, R. Singh, in:,
    G. Gopalakrishnan, S. Qadeer (Eds.), Springer, 2011, pp. 243–259.
conference:
  end_date: 2011-07-20
  location: Snowbird, USA
  name: 'CAV: Computer Aided Verification'
  start_date: 2011-07-14
corr_author: '1'
date_created: 2018-12-11T12:02:55Z
date_published: 2011-04-21T00:00:00Z
date_updated: 2024-10-21T06:03:04Z
day: '21'
ddc:
- '000'
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-642-22110-1_20
ec_funded: 1
editor:
- first_name: Ganesh
  full_name: Gopalakrishnan, Ganesh
  last_name: Gopalakrishnan
- first_name: Shaz
  full_name: Qadeer, Shaz
  last_name: Qadeer
file:
- access_level: open_access
  checksum: c033689355f45742dc7c99b5af13ce7a
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:51Z
  date_updated: 2020-07-14T12:46:10Z
  file_id: '5174'
  file_name: IST-2012-76-v1+1_Quantitative_synthesis_for_concurrent_programs.pdf
  file_size: 508946
  relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
intvolume: '      6806'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 243 - 259
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '3247'
pubrep_id: '76'
quality_controlled: '1'
related_material:
  record:
  - id: '5388'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Quantitative synthesis for concurrent programs
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 6806
year: '2011'
...
---
_id: '5379'
abstract:
- lang: eng
  text: Computing the winning set for Büchi objectives in alternating games on graphs
    is a central problem in computer aided verification with a large number of applications.
    The long standing best known upper bound for solving the problem is ̃O(n·m), where
    n is the number of vertices and m is the number of edges in the graph. We are
    the first to break the ̃O(n·m) boundary by presenting a new technique that reduces
    the running time to O(n2). This bound also leads to O(n2) time algorithms for
    computing the set of almost-sure winning vertices for Büchi objectives (1) in
    alternating games with probabilistic transitions (improving an earlier bound of
    O(n·m)), (2) in concurrent graph games with constant actions (improving an earlier
    bound of O(n3)), and (3) in Markov decision processes (improving for m > n4/3
    an earlier bound of O(min(m1.5, m·n2/3)). We also show that the same technique
    can be used to compute the maximal end-component decomposition of a graph in time
    O(n2), which is an improvement over earlier bounds for m > n4/3. Finally, we show
    how to maintain the winning set for Büchi objectives in alternating games under
    a sequence of edge insertions or a sequence of edge deletions in O(n) amortized
    time per operation. This is the first dynamic algorithm for this problem.
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: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: Chatterjee K, Henzinger M. <i>An O(N2) Time Algorithm for Alternating Büchi
    Games</i>. IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0009">10.15479/AT:IST-2011-0009</a>
  apa: Chatterjee, K., &#38; Henzinger, M. (2011). <i>An O(n2) time algorithm for
    alternating Büchi games</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0009">https://doi.org/10.15479/AT:IST-2011-0009</a>
  chicago: Chatterjee, Krishnendu, and Monika Henzinger. <i>An O(N2) Time Algorithm
    for Alternating Büchi Games</i>. IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0009">https://doi.org/10.15479/AT:IST-2011-0009</a>.
  ieee: K. Chatterjee and M. Henzinger, <i>An O(n2) time algorithm for alternating
    Büchi games</i>. IST Austria, 2011.
  ista: Chatterjee K, Henzinger M. 2011. An O(n2) time algorithm for alternating Büchi
    games, IST Austria, 20p.
  mla: Chatterjee, Krishnendu, and Monika Henzinger. <i>An O(N2) Time Algorithm for
    Alternating Büchi Games</i>. IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0009">10.15479/AT:IST-2011-0009</a>.
  short: K. Chatterjee, M. Henzinger, An O(N2) Time Algorithm for Alternating Büchi
    Games, IST Austria, 2011.
date_created: 2018-12-12T11:38:59Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2025-07-10T11:52:28Z
day: '11'
ddc:
- '000'
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0009
file:
- access_level: open_access
  checksum: 0b354264229045d982332fd2cb5b9a26
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:43Z
  date_updated: 2020-07-14T12:46:39Z
  file_id: '5504'
  file_name: IST-2011-0009_IST-2011-0009.pdf
  file_size: 388665
  relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '15'
related_material:
  record:
  - id: '3165'
    relation: later_version
    status: public
status: public
title: An O(n2) time algorithm for alternating Büchi games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5380'
abstract:
- lang: eng
  text: 'We consider 2-player games played on a finite state space for an infinite
    number of rounds.  The games are concurrent: in each round, the two players (player
    1 and player 2) choose their moves independently and simultaneously; the current
    state and the two moves determine the successor state. We study concurrent games
    with ω-regular winning conditions specified as parity objectives.  We consider
    the qualitative analysis problems: the computation of the almost-sure and limit-sure
    winning set of states, where player 1 can ensure to win with probability 1 and
    with probability arbitrarily close to 1, respectively. In general the almost-sure
    and limit-sure winning strategies require both infinite-memory as well as infinite-precision
    (to describe probabilities). We study the bounded-rationality problem for qualitative
    analysis of concurrent parity games, where the strategy set for player 1 is restricted
    to bounded-resource strategies.  In terms of precision, strategies can be deterministic,
    uniform, finite-precision or infinite-precision;  and in terms of memory, strategies
    can be memoryless, finite-memory or infinite-memory. We present a precise and
    complete characterization of the qualitative winning sets for all combinations
    of classes of strategies. In particular, we show that uniform memoryless strategies
    are as powerful as finite-precision infinite-memory strategies, and infinite-precision
    memoryless strategies are as powerful as infinite-precision finite-memory strategies.  We
    show that the winning sets can be computed in O(n2d+3) time, where n is the size
    of the game structure and 2d is the number of priorities (or colors), and our
    algorithms are symbolic. The membership problem of whether a state belongs to
    a winning set can be decided in NP ∩ coNP. While this complexity is the same as
    for the simpler class of turn-based parity games, where in each state only one
    of the two players has a choice of moves, our algorithms,that are obtained by
    characterization of the winning sets as μ-calculus formulas, are considerably
    more involved than those for turn-based games.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Chatterjee K. <i>Bounded Rationality in Concurrent Parity Games</i>. IST Austria;
    2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0008">10.15479/AT:IST-2011-0008</a>
  apa: Chatterjee, K. (2011). <i>Bounded rationality in concurrent parity games</i>.
    IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0008">https://doi.org/10.15479/AT:IST-2011-0008</a>
  chicago: Chatterjee, Krishnendu. <i>Bounded Rationality in Concurrent Parity Games</i>.
    IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0008">https://doi.org/10.15479/AT:IST-2011-0008</a>.
  ieee: K. Chatterjee, <i>Bounded rationality in concurrent parity games</i>. IST
    Austria, 2011.
  ista: Chatterjee K. 2011. Bounded rationality in concurrent parity games, IST Austria,
    53p.
  mla: Chatterjee, Krishnendu. <i>Bounded Rationality in Concurrent Parity Games</i>.
    IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0008">10.15479/AT:IST-2011-0008</a>.
  short: K. Chatterjee, Bounded Rationality in Concurrent Parity Games, IST Austria,
    2011.
date_created: 2018-12-12T11:39:00Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2025-06-26T09:28:52Z
day: '11'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0008
file:
- access_level: open_access
  checksum: 0fd38186409be819a911c4990fa79d1f
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:22Z
  date_updated: 2020-07-14T12:46:39Z
  file_id: '5544'
  file_name: IST-2011-0008_IST-2011-0008.pdf
  file_size: 500399
  relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '53'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '16'
related_material:
  record:
  - id: '3338'
    relation: later_version
    status: public
status: public
title: Bounded rationality in concurrent parity games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5381'
abstract:
- lang: eng
  text: "In two-player finite-state stochastic games of partial obser- vation on graphs,
    in every state of the graph, the players simultaneously choose an action, and
    their joint actions determine a probability distri- bution over the successor
    states. The game is played for infinitely many rounds and thus the players construct
    an infinite path in the graph. We consider reachability objectives where the first
    player tries to ensure a target state to be visited almost-surely (i.e., with
    probability 1) or pos- itively (i.e., with positive probability), no matter the
    strategy of the second player.\r\n\r\nWe classify such games according to the
    information and to the power of randomization available to the players. On the
    basis of information, the game can be one-sided with either (a) player 1, or (b)
    player 2 having partial observation (and the other player has perfect observation),
    or two- sided with (c) both players having partial observation. On the basis of
    randomization, (a) the players may not be allowed to use randomization (pure strategies),
    or (b) they may choose a probability distribution over actions but the actual
    random choice is external and not visible to the player (actions invisible), or
    (c) they may use full randomization.\r\n\r\nOur main results for pure strategies
    are as follows: (1) For one-sided games with player 2 perfect observation we show
    that (in contrast to full randomized strategies) belief-based (subset-construction
    based) strate- gies are not sufficient, and present an exponential upper bound
    on mem- ory both for almost-sure and positive winning strategies; we show that
    the problem of deciding the existence of almost-sure and positive winning strategies
    for player 1 is EXPTIME-complete and present symbolic algo- rithms that avoid
    the explicit exponential construction. (2) For one-sided games with player 1 perfect
    observation we show that non-elementary memory is both necessary and sufficient
    for both almost-sure and posi- tive winning strategies. (3) We show that for the
    general (two-sided) case finite-memory strategies are sufficient for both positive
    and almost-sure winning, and at least non-elementary memory is required. We establish
    the equivalence of the almost-sure winning problems for pure strategies and for
    randomized strategies with actions invisible. Our equivalence re- sult exhibit
    serious flaws in previous results in the literature: we show a non-elementary
    memory lower bound for almost-sure winning whereas an exponential upper bound
    was previously claimed."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. <i>Partial-Observation Stochastic Games: How to Win
    When Belief Fails</i>. IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0007">10.15479/AT:IST-2011-0007</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2011). <i>Partial-observation stochastic
    games: How to win when belief fails</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0007">https://doi.org/10.15479/AT:IST-2011-0007</a>'
  chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. <i>Partial-Observation Stochastic
    Games: How to Win When Belief Fails</i>. IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0007">https://doi.org/10.15479/AT:IST-2011-0007</a>.'
  ieee: 'K. Chatterjee and L. Doyen, <i>Partial-observation stochastic games: How
    to win when belief fails</i>. IST Austria, 2011.'
  ista: 'Chatterjee K, Doyen L. 2011. Partial-observation stochastic games: How to
    win when belief fails, IST Austria, 43p.'
  mla: 'Chatterjee, Krishnendu, and Laurent Doyen. <i>Partial-Observation Stochastic
    Games: How to Win When Belief Fails</i>. IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0007">10.15479/AT:IST-2011-0007</a>.'
  short: 'K. Chatterjee, L. Doyen, Partial-Observation Stochastic Games: How to Win
    When Belief Fails, IST Austria, 2011.'
date_created: 2018-12-12T11:39:00Z
date_published: 2011-07-05T00:00:00Z
date_updated: 2025-09-30T08:08:45Z
day: '05'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0007
file:
- access_level: open_access
  checksum: 06bf6dfc97f6006e3fd0e9a3f31bc961
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:27Z
  date_updated: 2020-07-14T12:46:39Z
  file_id: '5488'
  file_name: IST-2011-0007_IST-2011-0007.pdf
  file_size: 574055
  relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '43'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '17'
related_material:
  record:
  - id: '1903'
    relation: later_version
    status: public
  - id: '2211'
    relation: later_version
    status: public
  - id: '2955'
    relation: later_version
    status: public
status: public
title: 'Partial-observation stochastic games: How to win when belief fails'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5382'
abstract:
- lang: eng
  text: 'We consider two-player stochastic games played on a finite state space for
    an infinite num- ber of rounds. The games are concurrent: in each round, the two
    players (player 1 and player 2) choose their moves independently and simultaneously;
    the current state and the two moves determine a probability distribution over
    the successor states. We also consider the important special case of turn-based
    stochastic games where players make moves in turns, rather than concurrently.
    We study concurrent games with ω-regular winning conditions specified as parity
    objectives. The value for player 1 for a parity objective is the maximal probability
    with which the player can guarantee the satisfaction of the objective against
    all strategies of the opponent. We study the problem of continuity and robustness
    of the value function in concurrent and turn-based stochastic parity games with
    respect to imprecision in the transition probabilities. We present quantitative
    bounds on the difference of the value function (in terms of the imprecision of
    the transition probabilities) and show the value continuity for structurally equivalent
    concurrent games (two games are structurally equivalent if the support of the
    transition func- tion is same and the probabilities differ). We also show robustness
    of optimal strategies for structurally equivalent turn-based stochastic parity
    games. Finally we show that the value continuity property breaks without the structurally
    equivalent assumption (even for Markov chains) and show that our quantitative
    bound is asymptotically optimal. Hence our results are tight (the assumption is
    both necessary and sufficient) and optimal (our quantitative bound is asymptotically
    optimal).'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Chatterjee K. <i>Robustness of Structurally Equivalent Concurrent Parity Games</i>.
    IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0006">10.15479/AT:IST-2011-0006</a>
  apa: Chatterjee, K. (2011). <i>Robustness of structurally equivalent concurrent
    parity games</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0006">https://doi.org/10.15479/AT:IST-2011-0006</a>
  chicago: Chatterjee, Krishnendu. <i>Robustness of Structurally Equivalent Concurrent
    Parity Games</i>. IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0006">https://doi.org/10.15479/AT:IST-2011-0006</a>.
  ieee: K. Chatterjee, <i>Robustness of structurally equivalent concurrent parity
    games</i>. IST Austria, 2011.
  ista: Chatterjee K. 2011. Robustness of structurally equivalent concurrent parity
    games, IST Austria, 18p.
  mla: Chatterjee, Krishnendu. <i>Robustness of Structurally Equivalent Concurrent
    Parity Games</i>. IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0006">10.15479/AT:IST-2011-0006</a>.
  short: K. Chatterjee, Robustness of Structurally Equivalent Concurrent Parity Games,
    IST Austria, 2011.
date_created: 2018-12-12T11:39:00Z
date_published: 2011-06-27T00:00:00Z
date_updated: 2025-04-15T08:12:24Z
day: '27'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0006
file:
- access_level: open_access
  checksum: 1322b652d6ab07eb5248298a3f91c1cf
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:24Z
  date_updated: 2020-07-14T12:46:40Z
  file_id: '5546'
  file_name: IST-2011-0006_IST-2011-0006.pdf
  file_size: 335997
  relation: main_file
file_date_updated: 2020-07-14T12:46:40Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '18'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '18'
related_material:
  record:
  - id: '3341'
    relation: later_version
    status: public
status: public
title: Robustness of structurally equivalent concurrent parity games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5384'
abstract:
- lang: eng
  text: 'We consider probabilistic automata on infinite words with acceptance defined
    by parity conditions. We consider three qualitative decision problems: (i) the
    positive decision problem asks whether there is a word that is accepted with positive
    probability; (ii) the almost decision problem asks whether there is a word that
    is accepted with probability 1; and (iii) the limit decision problem asks whether
    for every ε > 0 there is a word that is accepted with probability at least 1 −
    ε. We unify and generalize several decidability results for probabilistic automata
    over infinite words, and identify a robust (closed under union and intersection)
    subclass of probabilistic automata for which all the qualitative decision problems
    are decidable for parity conditions. We also show that if the input words are
    restricted to lasso shape words, then the positive and almost problems are decidable
    for all probabilistic automata with parity conditions.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Mathieu
  full_name: Tracol, Mathieu
  id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
  last_name: Tracol
citation:
  ama: Chatterjee K, Tracol M. <i>Decidable Problems for Probabilistic Automata on
    Infinite Words</i>. IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0004">10.15479/AT:IST-2011-0004</a>
  apa: Chatterjee, K., &#38; Tracol, M. (2011). <i>Decidable problems for probabilistic
    automata on infinite words</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0004">https://doi.org/10.15479/AT:IST-2011-0004</a>
  chicago: Chatterjee, Krishnendu, and Mathieu Tracol. <i>Decidable Problems for Probabilistic
    Automata on Infinite Words</i>. IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0004">https://doi.org/10.15479/AT:IST-2011-0004</a>.
  ieee: K. Chatterjee and M. Tracol, <i>Decidable problems for probabilistic automata
    on infinite words</i>. IST Austria, 2011.
  ista: Chatterjee K, Tracol M. 2011. Decidable problems for probabilistic automata
    on infinite words, IST Austria, 30p.
  mla: Chatterjee, Krishnendu, and Mathieu Tracol. <i>Decidable Problems for Probabilistic
    Automata on Infinite Words</i>. IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0004">10.15479/AT:IST-2011-0004</a>.
  short: K. Chatterjee, M. Tracol, Decidable Problems for Probabilistic Automata on
    Infinite Words, IST Austria, 2011.
corr_author: '1'
date_created: 2018-12-12T11:39:01Z
date_published: 2011-04-11T00:00:00Z
date_updated: 2025-09-30T08:07:38Z
day: '11'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0004
file:
- access_level: open_access
  checksum: f5a0f664fadc335990f5fcf138df19f1
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:23Z
  date_updated: 2020-07-14T12:46:40Z
  file_id: '5545'
  file_name: IST-2011-004_IST-2011-0004.pdf
  file_size: 570827
  relation: main_file
file_date_updated: 2020-07-14T12:46:40Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '30'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '20'
related_material:
  record:
  - id: '2957'
    relation: later_version
    status: public
status: public
title: Decidable problems for probabilistic automata on infinite words
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5385'
abstract:
- lang: eng
  text: There is recently a significant effort to add quantitative objectives to formal
    verification and synthesis. We introduce and investigate the extension of temporal
    logics with quantitative atomic assertions, aiming for a general and flexible
    framework for quantitative-oriented specifications. In the heart of quantitative
    objectives lies the accumulation of values along a computation. It is either the
    accumulated summation, as with the energy objectives, or the accumulated average,
    as with the mean-payoff objectives. We investigate the extension of temporal logics
    with the prefix-accumulation assertions Sum(v) ≥ c and Avg(v) ≥ c, where v is
    a numeric variable of the system, c is a constant rational number, and Sum(v)
    and Avg(v) denote the accumulated sum and average of the values of v from the
    beginning of the computation up to the current point of time. We also allow the
    path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring
    to the average value along an entire computation. We study the border of decidability
    for extensions of various temporal logics. In particular, we show that extending
    the fragment of CTL that has only the EX, EF, AX, and AG temporal modalities by
    prefix-accumulation assertions and extending LTL with path-accumulation assertions,
    result in temporal logics whose model-checking problem is decidable. The extended
    logics allow to significantly extend the currently known energy and mean-payoff
    objectives. Moreover, the prefix-accumulation assertions may be refined with “controlled-accumulation”,
    allowing, for example, to specify constraints on the average waiting time between
    a request and a grant. On the negative side, we show that the fragment we point
    to is, in a sense, the maximal logic whose extension with prefix-accumulation
    assertions permits a decidable model-checking procedure. Extending a temporal
    logic that has the EG or EU modalities, and in particular CTL and LTL, makes the
    problem undecidable.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Udi
  full_name: Boker, Udi
  id: 31E297B6-F248-11E8-B48F-1D18A9856A87
  last_name: Boker
- 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: Orna
  full_name: Kupferman, Orna
  last_name: Kupferman
citation:
  ama: Boker U, Chatterjee K, Henzinger TA, Kupferman O. <i>Temporal Specifications
    with Accumulative Values</i>. IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0003">10.15479/AT:IST-2011-0003</a>
  apa: Boker, U., Chatterjee, K., Henzinger, T. A., &#38; Kupferman, O. (2011). <i>Temporal
    specifications with accumulative values</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0003">https://doi.org/10.15479/AT:IST-2011-0003</a>
  chicago: Boker, Udi, Krishnendu Chatterjee, Thomas A Henzinger, and Orna Kupferman.
    <i>Temporal Specifications with Accumulative Values</i>. IST Austria, 2011. <a
    href="https://doi.org/10.15479/AT:IST-2011-0003">https://doi.org/10.15479/AT:IST-2011-0003</a>.
  ieee: U. Boker, K. Chatterjee, T. A. Henzinger, and O. Kupferman, <i>Temporal specifications
    with accumulative values</i>. IST Austria, 2011.
  ista: Boker U, Chatterjee K, Henzinger TA, Kupferman O. 2011. Temporal specifications
    with accumulative values, IST Austria, 14p.
  mla: Boker, Udi, et al. <i>Temporal Specifications with Accumulative Values</i>.
    IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0003">10.15479/AT:IST-2011-0003</a>.
  short: U. Boker, K. Chatterjee, T.A. Henzinger, O. Kupferman, Temporal Specifications
    with Accumulative Values, IST Austria, 2011.
date_created: 2018-12-12T11:39:02Z
date_published: 2011-04-04T00:00:00Z
date_updated: 2025-09-30T09:27:29Z
day: '04'
ddc:
- '000'
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.15479/AT:IST-2011-0003
ec_funded: 1
file:
- access_level: open_access
  checksum: 8491d0d48c4911620ecd5350b413c11e
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:00Z
  date_updated: 2020-07-14T12:46:41Z
  file_id: '5461'
  file_name: IST-2011-0003_IST-2011-0003.pdf
  file_size: 366281
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file_date_updated: 2020-07-14T12:46:41Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '14'
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '21'
related_material:
  record:
  - id: '2038'
    relation: later_version
    status: public
  - id: '3356'
    relation: later_version
    status: public
status: public
title: Temporal specifications with accumulative values
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5387'
abstract:
- lang: eng
  text: We consider Markov Decision Processes (MDPs) with mean-payoff parity and energy
    parity objectives. In system design, the parity objective is used to encode ω-regular
    specifications, and the mean-payoff and energy objectives can be used to model
    quantitative resource constraints. The energy condition re- quires that the resource
    level never drops below 0, and the mean-payoff condi- tion requires that the limit-average
    value of the resource consumption is within a threshold. While these two (energy
    and mean-payoff) classical conditions are equivalent for two-player games, we
    show that they differ for MDPs. We show that the problem of deciding whether a
    state is almost-sure winning (i.e., winning with probability 1) in energy parity
    MDPs is in NP ∩ coNP, while for mean- payoff parity MDPs, the problem is solvable
    in polynomial time, improving a recent PSPACE bound.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: Chatterjee K, Doyen L. <i>Energy and Mean-Payoff Parity Markov Decision Processes</i>.
    IST Austria; 2011. doi:<a href="https://doi.org/10.15479/AT:IST-2011-0001">10.15479/AT:IST-2011-0001</a>
  apa: Chatterjee, K., &#38; Doyen, L. (2011). <i>Energy and mean-payoff parity Markov
    decision processes</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2011-0001">https://doi.org/10.15479/AT:IST-2011-0001</a>
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy and Mean-Payoff Parity
    Markov Decision Processes</i>. IST Austria, 2011. <a href="https://doi.org/10.15479/AT:IST-2011-0001">https://doi.org/10.15479/AT:IST-2011-0001</a>.
  ieee: K. Chatterjee and L. Doyen, <i>Energy and mean-payoff parity Markov decision
    processes</i>. IST Austria, 2011.
  ista: Chatterjee K, Doyen L. 2011. Energy and mean-payoff parity Markov decision
    processes, IST Austria, 20p.
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy and Mean-Payoff Parity
    Markov Decision Processes</i>. IST Austria, 2011, doi:<a href="https://doi.org/10.15479/AT:IST-2011-0001">10.15479/AT:IST-2011-0001</a>.
  short: K. Chatterjee, L. Doyen, Energy and Mean-Payoff Parity Markov Decision Processes,
    IST Austria, 2011.
date_created: 2018-12-12T11:39:02Z
date_published: 2011-02-16T00:00:00Z
date_updated: 2025-04-15T08:12:14Z
day: '16'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0001
file:
- access_level: open_access
  checksum: 824d6c70e6d3feb3e836b009e0b3cf73
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:52:57Z
  date_updated: 2020-07-14T12:46:41Z
  file_id: '5458'
  file_name: IST-2011-0001_IST-2011-0001.pdf
  file_size: 329976
  relation: main_file
file_date_updated: 2020-07-14T12:46:41Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '23'
related_material:
  record:
  - id: '3345'
    relation: later_version
    status: public
status: public
title: Energy and mean-payoff parity Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '489'
abstract:
- lang: eng
  text: 'Graph games of infinite length are a natural model for open reactive processes:
    one player represents the controller, trying to ensure a given specification,
    and the other represents a hostile environment. The evolution of the system depends
    on the decisions of both players, supplemented by chance. In this work, we focus
    on the notion of randomised strategy. More specifically, we show that three natural
    definitions may lead to very different results: in the most general cases, an
    almost-surely winning situation may become almost-surely losing if the player
    is only allowed to use a weaker notion of strategy. In more reasonable settings,
    translations exist, but they require infinite memory, even in simple cases. Finally,
    some traditional problems becomes undecidable for the strongest type of strategies.'
alternative_title:
- EPTCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Julien
  full_name: Cristau, Julien
  last_name: Cristau
- first_name: Claire
  full_name: David, Claire
  last_name: David
- first_name: Florian
  full_name: Horn, Florian
  id: 37327ACE-F248-11E8-B48F-1D18A9856A87
  last_name: Horn
citation:
  ama: 'Cristau J, David C, Horn F. How do we remember the past in randomised strategies?
    In: <i>Proceedings of GandALF 2010</i>. Vol 25. Open Publishing Association; 2010:30-39.
    doi:<a href="https://doi.org/10.4204/EPTCS.25.7">10.4204/EPTCS.25.7</a>'
  apa: 'Cristau, J., David, C., &#38; Horn, F. (2010). How do we remember the past
    in randomised strategies? In <i>Proceedings of GandALF 2010</i> (Vol. 25, pp.
    30–39). Minori, Amalfi Coast, Italy: Open Publishing Association. <a href="https://doi.org/10.4204/EPTCS.25.7">https://doi.org/10.4204/EPTCS.25.7</a>'
  chicago: Cristau, Julien, Claire David, and Florian Horn. “How Do We Remember the
    Past in Randomised Strategies?” In <i>Proceedings of GandALF 2010</i>, 25:30–39.
    Open Publishing Association, 2010. <a href="https://doi.org/10.4204/EPTCS.25.7">https://doi.org/10.4204/EPTCS.25.7</a>.
  ieee: J. Cristau, C. David, and F. Horn, “How do we remember the past in randomised
    strategies?,” in <i>Proceedings of GandALF 2010</i>, Minori, Amalfi Coast, Italy,
    2010, vol. 25, pp. 30–39.
  ista: 'Cristau J, David C, Horn F. 2010. How do we remember the past in randomised
    strategies? Proceedings of GandALF 2010. GandALF: Games, Automata, Logic, and
    Formal Verification, EPTCS, vol. 25, 30–39.'
  mla: Cristau, Julien, et al. “How Do We Remember the Past in Randomised Strategies?”
    <i>Proceedings of GandALF 2010</i>, vol. 25, Open Publishing Association, 2010,
    pp. 30–39, doi:<a href="https://doi.org/10.4204/EPTCS.25.7">10.4204/EPTCS.25.7</a>.
  short: J. Cristau, C. David, F. Horn, in:, Proceedings of GandALF 2010, Open Publishing
    Association, 2010, pp. 30–39.
conference:
  end_date: 2010-06-18
  location: Minori, Amalfi Coast, Italy
  name: 'GandALF: Games, Automata, Logic, and Formal Verification'
  start_date: 2010-06-17
corr_author: '1'
date_created: 2018-12-11T11:46:45Z
date_published: 2010-06-09T00:00:00Z
date_updated: 2025-06-11T08:14:27Z
day: '09'
department:
- _id: KrCh
doi: 10.4204/EPTCS.25.7
external_id:
  arxiv:
  - '1006.1404'
intvolume: '        25'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1006.1404
month: '06'
oa: 1
oa_version: Published Version
page: 30 - 39
publication: Proceedings of GandALF 2010
publication_status: published
publisher: Open Publishing Association
publist_id: '7332'
quality_controlled: '1'
scopus_import: '1'
status: public
title: How do we remember the past in randomised strategies?
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 25
year: '2010'
...
---
_id: '5388'
abstract:
- lang: eng
  text: "We present an algorithmic method for the synthesis of concurrent programs
    that are optimal with respect to quantitative performance measures. The input
    consists of a sequential sketch, that is, a program that does not contain synchronization
    constructs, and of a parametric performance model that assigns costs to actions
    such as locking, context switching, and idling. The quantitative synthesis problem
    is to automatically introduce synchronization constructs into the sequential sketch
    so that both correctness is guaranteed and worst-case (or average-case) performance
    is optimized. Correctness is formalized as race freedom or linearizability.\r\n\r\nWe
    show that for worst-case performance, the problem can be modeled\r\nas a 2-player
    graph game with quantitative (limit-average) objectives, and\r\nfor average-case
    performance, as a 2 1/2 -player graph game (with probabilistic transitions). In
    both cases, the optimal correct program is derived from an optimal strategy in
    the corresponding quantitative game. We prove that the respective game problems
    are computationally expensive (NP-complete), and present several techniques that
    overcome the theoretical difficulty in cases of concurrent programs of practical
    interest.\r\n\r\nWe have implemented a prototype tool and used it for the automatic
    syn- thesis of programs that access a concurrent list. For certain parameter val-
    ues, our method automatically synthesizes various classical synchronization schemes
    for implementing a concurrent list, such as fine-grained locking or a lazy algorithm.
    For other parameter values, a new, hybrid synchronization style is synthesized,
    which uses both the lazy approach and coarse-grained locks (instead of standard
    fine-grained locks). The trade-off occurs because while fine-grained locking tends
    to decrease the cost that is due to waiting for locks, it increases cache size
    requirements."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Pavol
  full_name: Cerny, Pavol
  id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
  last_name: Cerny
- 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: Arjun
  full_name: Radhakrishna, Arjun
  id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
  last_name: Radhakrishna
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: Chatterjee K, Cerny P, Henzinger TA, Radhakrishna A, Singh R. <i>Quantitative
    Synthesis for Concurrent Programs</i>. IST Austria; 2010. doi:<a href="https://doi.org/10.15479/AT:IST-2010-0004">10.15479/AT:IST-2010-0004</a>
  apa: Chatterjee, K., Cerny, P., Henzinger, T. A., Radhakrishna, A., &#38; Singh,
    R. (2010). <i>Quantitative synthesis for concurrent programs</i>. IST Austria.
    <a href="https://doi.org/10.15479/AT:IST-2010-0004">https://doi.org/10.15479/AT:IST-2010-0004</a>
  chicago: Chatterjee, Krishnendu, Pavol Cerny, Thomas A Henzinger, Arjun Radhakrishna,
    and Rohit Singh. <i>Quantitative Synthesis for Concurrent Programs</i>. IST Austria,
    2010. <a href="https://doi.org/10.15479/AT:IST-2010-0004">https://doi.org/10.15479/AT:IST-2010-0004</a>.
  ieee: K. Chatterjee, P. Cerny, T. A. Henzinger, A. Radhakrishna, and R. Singh, <i>Quantitative
    synthesis for concurrent programs</i>. IST Austria, 2010.
  ista: Chatterjee K, Cerny P, Henzinger TA, Radhakrishna A, Singh R. 2010. Quantitative
    synthesis for concurrent programs, IST Austria, 17p.
  mla: Chatterjee, Krishnendu, et al. <i>Quantitative Synthesis for Concurrent Programs</i>.
    IST Austria, 2010, doi:<a href="https://doi.org/10.15479/AT:IST-2010-0004">10.15479/AT:IST-2010-0004</a>.
  short: K. Chatterjee, P. Cerny, T.A. Henzinger, A. Radhakrishna, R. Singh, Quantitative
    Synthesis for Concurrent Programs, IST Austria, 2010.
date_created: 2018-12-12T11:39:03Z
date_published: 2010-10-07T00:00:00Z
date_updated: 2025-04-15T08:12:00Z
day: '07'
ddc:
- '000'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2010-0004
file:
- access_level: open_access
  checksum: da38782d2388a6fa32109d10bb9bad67
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:53Z
  date_updated: 2020-07-14T12:46:42Z
  file_id: '5515'
  file_name: IST-2010-0004_IST-2010-0004.pdf
  file_size: 429101
  relation: main_file
file_date_updated: 2020-07-14T12:46:42Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '17'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '24'
related_material:
  record:
  - id: '3366'
    relation: later_version
    status: public
status: public
title: Quantitative synthesis for concurrent programs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '5390'
abstract:
- lang: eng
  text: The class of ω regular languages provide a robust specification language in
    verification. Every ω-regular condition can be decomposed into a safety part and
    a liveness part. The liveness part ensures that something good happens “eventually.”
    Two main strengths of the classical, infinite-limit formulation of liveness are
    robustness (independence from the granularity of transitions) and simplicity (abstraction
    of complicated time bounds). However, the classical liveness formulation suffers
    from the drawback that the time until something good happens may be unbounded.
    A stronger formulation of liveness, so-called finitary liveness, overcomes this
    drawback, while still retaining robustness and simplicity. Finitary liveness requires
    that there exists an unknown, fixed bound b such that something good happens within
    b transitions. In this work we consider the finitary parity and Streett (fairness)
    conditions. We present the topological, automata-theoretic and logical characterization
    of finitary languages defined by finitary parity and Streett conditions. We (a)
    show that the finitary parity and Streett languages are Σ2-complete; (b) present
    a complete characterization of the expressive power of various classes of automata
    with finitary and infinitary conditions (in particular we show that non-deterministic
    finitary parity and Streett automata cannot be determinized to deterministic finitary
    parity or Streett automata); and (c) show that the languages defined by non-deterministic
    finitary parity automata exactly characterize the star-free fragment of ωB-regular
    languages.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Nathanaël
  full_name: Fijalkow, Nathanaël
  last_name: Fijalkow
citation:
  ama: Chatterjee K, Fijalkow N. <i>Topological, Automata-Theoretic and Logical Characterization
    of Finitary Languages</i>. IST Austria; 2010. doi:<a href="https://doi.org/10.15479/AT:IST-2010-0002">10.15479/AT:IST-2010-0002</a>
  apa: Chatterjee, K., &#38; Fijalkow, N. (2010). <i>Topological, automata-theoretic
    and logical characterization of finitary languages</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2010-0002">https://doi.org/10.15479/AT:IST-2010-0002</a>
  chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. <i>Topological, Automata-Theoretic
    and Logical Characterization of Finitary Languages</i>. IST Austria, 2010. <a
    href="https://doi.org/10.15479/AT:IST-2010-0002">https://doi.org/10.15479/AT:IST-2010-0002</a>.
  ieee: K. Chatterjee and N. Fijalkow, <i>Topological, automata-theoretic and logical
    characterization of finitary languages</i>. IST Austria, 2010.
  ista: Chatterjee K, Fijalkow N. 2010. Topological, automata-theoretic and logical
    characterization of finitary languages, IST Austria, 21p.
  mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. <i>Topological, Automata-Theoretic
    and Logical Characterization of Finitary Languages</i>. IST Austria, 2010, doi:<a
    href="https://doi.org/10.15479/AT:IST-2010-0002">10.15479/AT:IST-2010-0002</a>.
  short: K. Chatterjee, N. Fijalkow, Topological, Automata-Theoretic and Logical Characterization
    of Finitary Languages, IST Austria, 2010.
date_created: 2018-12-12T11:39:03Z
date_published: 2010-06-04T00:00:00Z
date_updated: 2020-07-14T23:04:41Z
day: '04'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2010-0002
file:
- access_level: open_access
  checksum: 283d3604d76dd4d5161585d4c8625fbe
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:10Z
  date_updated: 2020-07-14T12:46:43Z
  file_id: '5532'
  file_name: IST-2010-0002_IST-2010-0002.pdf
  file_size: 395662
  relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '21'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '26'
status: public
title: Topological, automata-theoretic and logical characterization of finitary languages
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2010'
...
---
_id: '3851'
abstract:
- lang: eng
  text: 'Energy parity games are infinite two-player turn-based games played on weighted
    graphs. The objective of the game combines a (qualitative) parity condition with
    the (quantitative) requirement that the sum of the weights (i.e., the level of
    energy in the game) must remain positive. Beside their own interest in the design
    and synthesis of resource-constrained omega-regular specifications, energy parity
    games provide one of the simplest model of games with combined qualitative and
    quantitative objective. Our main results are as follows: (a) exponential memory
    is sufficient and may be necessary for winning strategies in energy parity games;
    (b) the problem of deciding the winner in energy parity games can be solved in
    NP ∩ coNP; and (c) we give an algorithm to solve energy parity by reduction to
    energy games. We also show that the problem of deciding the winner in energy parity
    games is polynomially equivalent to the problem of deciding the winner in mean-payoff
    parity games, which can thus be solved in NP ∩ coNP. As a consequence we also
    obtain a conceptually simple algorithm to solve mean-payoff parity games.'
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Energy parity games. In: Vol 6199. Springer; 2010:599-610.
    doi:<a href="https://doi.org/10.1007/978-3-642-14162-1_50">10.1007/978-3-642-14162-1_50</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2010). Energy parity games (Vol. 6199, pp.
    599–610). Presented at the ICALP: Automata, Languages and Programming, Bordeaux,
    France: Springer. <a href="https://doi.org/10.1007/978-3-642-14162-1_50">https://doi.org/10.1007/978-3-642-14162-1_50</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Energy Parity Games,” 6199:599–610.
    Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-14162-1_50">https://doi.org/10.1007/978-3-642-14162-1_50</a>.
  ieee: 'K. Chatterjee and L. Doyen, “Energy parity games,” presented at the ICALP:
    Automata, Languages and Programming, Bordeaux, France, 2010, vol. 6199, pp. 599–610.'
  ista: 'Chatterjee K, Doyen L. 2010. Energy parity games. ICALP: Automata, Languages
    and Programming, LNCS, vol. 6199, 599–610.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy Parity Games</i>. Vol.
    6199, Springer, 2010, pp. 599–610, doi:<a href="https://doi.org/10.1007/978-3-642-14162-1_50">10.1007/978-3-642-14162-1_50</a>.
  short: K. Chatterjee, L. Doyen, in:, Springer, 2010, pp. 599–610.
conference:
  end_date: 2010-07-10
  location: Bordeaux, France
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2010-07-06
corr_author: '1'
date_created: 2018-12-11T12:05:31Z
date_published: 2010-09-10T00:00:00Z
date_updated: 2025-09-30T08:02:20Z
day: '10'
department:
- _id: KrCh
doi: 10.1007/978-3-642-14162-1_50
external_id:
  arxiv:
  - '1001.5183'
intvolume: '      6199'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1001.5183
month: '09'
oa: 1
oa_version: Preprint
page: 599 - 610
publication_status: published
publisher: Springer
publist_id: '2330'
quality_controlled: '1'
related_material:
  record:
  - id: '2972'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Energy parity games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6199
year: '2010'
...
---
_id: '3852'
abstract:
- lang: eng
  text: 'We introduce two-level discounted games played by two players on a perfect-information
    stochastic game graph. The upper level game is a discounted game and the lower
    level game is an undiscounted reachability game. Two-level games model hierarchical
    and sequential decision making under uncertainty across different time scales.
    We show the existence of pure memoryless optimal strategies for both players and
    an ordered field property for such games. We show that if there is only one player
    (Markov decision processes), then the values can be computed in polynomial time.
    It follows that whether the value of a player is equal to a given rational constant
    in two-level discounted games can be decided in NP intersected coNP. We also give
    an alternate strategy improvement algorithm to compute the value. '
alternative_title:
- EPTCS
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: Ritankar
  full_name: Majumdar, Ritankar
  last_name: Majumdar
citation:
  ama: 'Chatterjee K, Majumdar R. Discounting in games across time scales. In: Vol
    25. EPTCS; 2010:22-29. doi:<a href="https://doi.org/10.4204/EPTCS.25.6">10.4204/EPTCS.25.6</a>'
  apa: 'Chatterjee, K., &#38; Majumdar, R. (2010). Discounting in games across time
    scales (Vol. 25, pp. 22–29). Presented at the GandALF: Games, Automata, Logic,
    and Formal Verification, Minori, Italy: EPTCS. <a href="https://doi.org/10.4204/EPTCS.25.6">https://doi.org/10.4204/EPTCS.25.6</a>'
  chicago: Chatterjee, Krishnendu, and Ritankar Majumdar. “Discounting in Games across
    Time Scales,” 25:22–29. EPTCS, 2010. <a href="https://doi.org/10.4204/EPTCS.25.6">https://doi.org/10.4204/EPTCS.25.6</a>.
  ieee: 'K. Chatterjee and R. Majumdar, “Discounting in games across time scales,”
    presented at the GandALF: Games, Automata, Logic, and Formal Verification, Minori,
    Italy, 2010, vol. 25, pp. 22–29.'
  ista: 'Chatterjee K, Majumdar R. 2010. Discounting in games across time scales.
    GandALF: Games, Automata, Logic, and Formal Verification, EPTCS, vol. 25, 22–29.'
  mla: Chatterjee, Krishnendu, and Ritankar Majumdar. <i>Discounting in Games across
    Time Scales</i>. Vol. 25, EPTCS, 2010, pp. 22–29, doi:<a href="https://doi.org/10.4204/EPTCS.25.6">10.4204/EPTCS.25.6</a>.
  short: K. Chatterjee, R. Majumdar, in:, EPTCS, 2010, pp. 22–29.
conference:
  end_date: 2010-06-18
  location: Minori, Italy
  name: 'GandALF: Games, Automata, Logic, and Formal Verification'
  start_date: 2010-06-17
corr_author: '1'
date_created: 2018-12-11T12:05:31Z
date_published: 2010-06-08T00:00:00Z
date_updated: 2024-10-09T20:54:08Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4204/EPTCS.25.6
external_id:
  arxiv:
  - '1006.1403'
file:
- access_level: open_access
  checksum: 2bdf1e9103710555c6251ca4153cb5e9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:12:19Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '4937'
  file_name: IST-2016-491-v1+1_1006.1403v1.pdf
  file_size: 74598
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: '        25'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 22 - 29
publication_status: published
publisher: EPTCS
publist_id: '2329'
pubrep_id: '491'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Discounting in games across time scales
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 25
year: '2010'
...
---
_id: '3853'
abstract:
- lang: eng
  text: 'Quantitative languages are an extension of boolean languages that assign
    to each word a real number. Mean-payoff automata are finite automata with numerical
    weights on transitions that assign to each infinite path the long-run average
    of the transition weights. When the mode of branching of the automaton is deterministic,
    nondeterministic, or alternating, the corresponding class of quantitative languages
    is not robust as it is not closed under the pointwise operations of max, min,
    sum, and numerical complement. Nondeterministic and alternating mean-payoff automata
    are not decidable either, as the quantitative generalization of the problems of
    universality and language inclusion is undecidable. We introduce a new class of
    quantitative languages, defined by mean-payoff automaton expressions, which is
    robust and decidable: it is closed under the four pointwise operations, and we
    show that all decision problems are decidable for this class. Mean-payoff automaton
    expressions subsume deterministic meanpayoff automata, and we show that they have
    expressive power incomparable to nondeterministic and alternating mean-payoff
    automata. We also present for the first time an algorithm to compute distance
    between two quantitative languages, and in our case the quantitative languages
    are given as mean-payoff automaton expressions.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- 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: Philippe
  full_name: Rannou, Philippe
  last_name: Rannou
citation:
  ama: 'Chatterjee K, Doyen L, Edelsbrunner H, Henzinger TA, Rannou P. Mean-payoff
    automaton expressions. In: Vol 6269. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2010:269-283. doi:<a href="https://doi.org/10.1007/978-3-642-15375-4_19">10.1007/978-3-642-15375-4_19</a>'
  apa: 'Chatterjee, K., Doyen, L., Edelsbrunner, H., Henzinger, T. A., &#38; Rannou,
    P. (2010). Mean-payoff automaton expressions (Vol. 6269, pp. 269–283). Presented
    at the CONCUR: Concurrency Theory, Paris, France: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.1007/978-3-642-15375-4_19">https://doi.org/10.1007/978-3-642-15375-4_19</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Herbert Edelsbrunner, Thomas A Henzinger,
    and Philippe Rannou. “Mean-Payoff Automaton Expressions,” 6269:269–83. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2010. <a href="https://doi.org/10.1007/978-3-642-15375-4_19">https://doi.org/10.1007/978-3-642-15375-4_19</a>.
  ieee: 'K. Chatterjee, L. Doyen, H. Edelsbrunner, T. A. Henzinger, and P. Rannou,
    “Mean-payoff automaton expressions,” presented at the CONCUR: Concurrency Theory,
    Paris, France, 2010, vol. 6269, pp. 269–283.'
  ista: 'Chatterjee K, Doyen L, Edelsbrunner H, Henzinger TA, Rannou P. 2010. Mean-payoff
    automaton expressions. CONCUR: Concurrency Theory, LNCS, vol. 6269, 269–283.'
  mla: Chatterjee, Krishnendu, et al. <i>Mean-Payoff Automaton Expressions</i>. Vol.
    6269, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 269–83, doi:<a
    href="https://doi.org/10.1007/978-3-642-15375-4_19">10.1007/978-3-642-15375-4_19</a>.
  short: K. Chatterjee, L. Doyen, H. Edelsbrunner, T.A. Henzinger, P. Rannou, in:,
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 269–283.
conference:
  end_date: 2010-09-03
  location: Paris, France
  name: 'CONCUR: Concurrency Theory'
  start_date: 2010-08-31
corr_author: '1'
date_created: 2018-12-11T12:05:31Z
date_published: 2010-11-18T00:00:00Z
date_updated: 2024-10-09T20:54:08Z
day: '18'
ddc:
- '000'
- '005'
department:
- _id: KrCh
- _id: HeEd
- _id: ToHe
doi: 10.1007/978-3-642-15375-4_19
ec_funded: 1
file:
- access_level: open_access
  checksum: 4f753ae99d076553fb8733e2c8b390e2
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:41Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '5163'
  file_name: IST-2012-62-v1+1_Mean-payoff_automaton_expressions.pdf
  file_size: 233260
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: '      6269'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
page: 269 - 283
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '2328'
pubrep_id: '62'
quality_controlled: '1'
scopus_import: 1
status: public
title: Mean-payoff automaton expressions
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6269
year: '2010'
...
---
_id: '3854'
abstract:
- lang: eng
  text: 'Graph games of infinite length provide a natural model for open reactive
    systems: one player (Eve) represents the controller and the other player (Adam)
    represents the environment. The evolution of the system depends on the decisions
    of both players. The specification for the system is usually given as an ω-regular
    language L over paths and Eve’s goal is to ensure that the play belongs to L irrespective
    of Adam’s behaviour. The classical notion of winning strategies fails to capture
    several interesting scenarios. For example, strong fairness (Streett) conditions
    are specified by a number of request-grant pairs and require every pair that is
    requested infinitely often to be granted infinitely often: Eve might win just
    by preventing Adam from making any new request, but a “better” strategy would
    allow Adam to make as many requests as possible and still ensure fairness. To
    address such questions, we introduce the notion of obliging games, where Eve has
    to ensure a strong condition Φ, while always allowing Adam to satisfy a weak condition
    Ψ. We present a linear time reduction of obliging games with two Muller conditions
    Φ and Ψ to classical Muller games. We consider obliging Streett games and show
    they are co-NP complete, and show a natural quantitative optimisation problem
    for obliging Streett games is in FNP. We also show how obliging games can provide
    new and interesting semantics for multi-player games.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Florian
  full_name: Horn, Florian
  id: 37327ACE-F248-11E8-B48F-1D18A9856A87
  last_name: Horn
- first_name: Christof
  full_name: Löding, Christof
  last_name: Löding
citation:
  ama: 'Chatterjee K, Horn F, Löding C. Obliging games. In: Vol 6269. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2010:284-296. doi:<a href="https://doi.org/10.1007/978-3-642-15375-4_20">10.1007/978-3-642-15375-4_20</a>'
  apa: 'Chatterjee, K., Horn, F., &#38; Löding, C. (2010). Obliging games (Vol. 6269,
    pp. 284–296). Presented at the CONCUR: Concurrency Theory, Paris, France: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.1007/978-3-642-15375-4_20">https://doi.org/10.1007/978-3-642-15375-4_20</a>'
  chicago: Chatterjee, Krishnendu, Florian Horn, and Christof Löding. “Obliging Games,”
    6269:284–96. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010. <a href="https://doi.org/10.1007/978-3-642-15375-4_20">https://doi.org/10.1007/978-3-642-15375-4_20</a>.
  ieee: 'K. Chatterjee, F. Horn, and C. Löding, “Obliging games,” presented at the
    CONCUR: Concurrency Theory, Paris, France, 2010, vol. 6269, pp. 284–296.'
  ista: 'Chatterjee K, Horn F, Löding C. 2010. Obliging games. CONCUR: Concurrency
    Theory, LNCS, vol. 6269, 284–296.'
  mla: Chatterjee, Krishnendu, et al. <i>Obliging Games</i>. Vol. 6269, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2010, pp. 284–96, doi:<a href="https://doi.org/10.1007/978-3-642-15375-4_20">10.1007/978-3-642-15375-4_20</a>.
  short: K. Chatterjee, F. Horn, C. Löding, in:, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2010, pp. 284–296.
conference:
  end_date: 2010-09-03
  location: Paris, France
  name: 'CONCUR: Concurrency Theory'
  start_date: 2010-08-31
corr_author: '1'
date_created: 2018-12-11T12:05:32Z
date_published: 2010-09-08T00:00:00Z
date_updated: 2024-10-09T20:54:07Z
day: '08'
department:
- _id: KrCh
doi: 10.1007/978-3-642-15375-4_20
intvolume: '      6269'
language:
- iso: eng
month: '09'
oa_version: None
page: 284 - 296
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '2327'
quality_controlled: '1'
scopus_import: 1
status: public
title: Obliging games
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6269
year: '2010'
...
---
_id: '3855'
abstract:
- lang: eng
  text: 'We study observation-based strategies for partially-observable Markov decision
    processes (POMDPs) with parity objectives. An observation-based strategy relies
    on partial information about the history of a play, namely, on the past sequence
    of observations. We consider qualitative analysis problems: given a POMDP with
    a parity objective, decide whether there exists an observation-based strategy
    to achieve the objective with probability 1 (almost-sure winning), or with positive
    probability (positive winning). Our main results are twofold. First, we present
    a complete picture of the computational complexity of the qualitative analysis
    problem for POMDPs with parity objectives and its subclasses: safety, reachability,
    Büchi, and coBüchi objectives. We establish several upper and lower bounds that
    were not known in the literature. Second, we give optimal bounds (matching upper
    and lower bounds) for the memory required by pure and randomized observation-based
    strategies for each class of objectives.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Chatterjee K, Doyen L, Henzinger TA. Qualitative analysis of partially-observable
    Markov Decision Processes. In: Vol 6281. Springer; 2010:258-269. doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_24">10.1007/978-3-642-15155-2_24</a>'
  apa: 'Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2010). Qualitative analysis
    of partially-observable Markov Decision Processes (Vol. 6281, pp. 258–269). Presented
    at the MFCS: Mathematical Foundations of Computer Science, Brno, Czech Republic:
    Springer. <a href="https://doi.org/10.1007/978-3-642-15155-2_24">https://doi.org/10.1007/978-3-642-15155-2_24</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Qualitative
    Analysis of Partially-Observable Markov Decision Processes,” 6281:258–69. Springer,
    2010. <a href="https://doi.org/10.1007/978-3-642-15155-2_24">https://doi.org/10.1007/978-3-642-15155-2_24</a>.
  ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “Qualitative analysis of partially-observable
    Markov Decision Processes,” presented at the MFCS: Mathematical Foundations of
    Computer Science, Brno, Czech Republic, 2010, vol. 6281, pp. 258–269.'
  ista: 'Chatterjee K, Doyen L, Henzinger TA. 2010. Qualitative analysis of partially-observable
    Markov Decision Processes. MFCS: Mathematical Foundations of Computer Science,
    LNCS, vol. 6281, 258–269.'
  mla: Chatterjee, Krishnendu, et al. <i>Qualitative Analysis of Partially-Observable
    Markov Decision Processes</i>. Vol. 6281, Springer, 2010, pp. 258–69, doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_24">10.1007/978-3-642-15155-2_24</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2010, pp. 258–269.
conference:
  end_date: 2010-08-27
  location: Brno, Czech Republic
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2010-08-23
corr_author: '1'
date_created: 2018-12-11T12:05:32Z
date_published: 2010-08-01T00:00:00Z
date_updated: 2024-10-09T21:08:23Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-15155-2_24
ec_funded: 1
file:
- access_level: open_access
  checksum: b6c82ec82f194e5b0ab7c1c3800e4580
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:51Z
  date_updated: 2020-07-14T12:46:17Z
  file_id: '5038'
  file_name: IST-2012-61-v1+1_Qualitative_analysis_of_partially-observable_Markov_Decision_Processes.pdf
  file_size: 173948
  relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: '      6281'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 258 - 269
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '2326'
pubrep_id: '61'
quality_controlled: '1'
related_material:
  record:
  - id: '5395'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Qualitative analysis of partially-observable Markov Decision Processes
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6281
year: '2010'
...
---
_id: '3856'
abstract:
- lang: eng
  text: 'We consider two-player zero-sum games on graphs. These games can be classified
    on the basis of the information of the players and on the mode of interaction
    between them. On the basis of information the classification is as follows: (a)
    partial-observation (both players have partial view of the game); (b) one-sided
    complete-observation (one player has complete observation); and (c) complete-observation
    (both players have complete view of the game). On the basis of mode of interaction
    we have the following classification: (a) concurrent (players interact simultaneously);
    and (b) turn-based (players interact in turn). The two sources of randomness in
    these games are randomness in transition function and randomness in strategies.
    In general, randomized strategies are more powerful than deterministic strategies,
    and randomness in transitions gives more general classes of games. We present
    a complete characterization for the classes of games where randomness is not helpful
    in: (a) the transition function (probabilistic transition can be simulated by
    deterministic transition); and (b) strategies (pure strategies are as powerful
    as randomized strategies). As consequence of our characterization we obtain new
    undecidability results for these games. '
acknowledgement: This research was supported by the European Union project COMBEST
  and the European Network of Excellence ArtistDesign.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Hugo
  full_name: Gimbert, Hugo
  last_name: Gimbert
- 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, Gimbert H, Henzinger TA. Randomness for free. In: Vol
    6281. Springer; 2010:246-257. doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_23">10.1007/978-3-642-15155-2_23</a>'
  apa: 'Chatterjee, K., Doyen, L., Gimbert, H., &#38; Henzinger, T. A. (2010). Randomness
    for free (Vol. 6281, pp. 246–257). Presented at the MFCS: Mathematical Foundations
    of Computer Science, Brno, Czech Republic: Springer. <a href="https://doi.org/10.1007/978-3-642-15155-2_23">https://doi.org/10.1007/978-3-642-15155-2_23</a>'
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Hugo Gimbert, and Thomas A Henzinger.
    “Randomness for Free,” 6281:246–57. Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-15155-2_23">https://doi.org/10.1007/978-3-642-15155-2_23</a>.
  ieee: 'K. Chatterjee, L. Doyen, H. Gimbert, and T. A. Henzinger, “Randomness for
    free,” presented at the MFCS: Mathematical Foundations of Computer Science, Brno,
    Czech Republic, 2010, vol. 6281, pp. 246–257.'
  ista: 'Chatterjee K, Doyen L, Gimbert H, Henzinger TA. 2010. Randomness for free.
    MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 6281, 246–257.'
  mla: Chatterjee, Krishnendu, et al. <i>Randomness for Free</i>. Vol. 6281, Springer,
    2010, pp. 246–57, doi:<a href="https://doi.org/10.1007/978-3-642-15155-2_23">10.1007/978-3-642-15155-2_23</a>.
  short: K. Chatterjee, L. Doyen, H. Gimbert, T.A. Henzinger, in:, Springer, 2010,
    pp. 246–257.
conference:
  end_date: 2010-08-27
  location: Brno, Czech Republic
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2010-08-23
corr_author: '1'
date_created: 2018-12-11T12:05:32Z
date_published: 2010-09-06T00:00:00Z
date_updated: 2025-09-23T10:32:00Z
day: '06'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-15155-2_23
ec_funded: 1
external_id:
  arxiv:
  - '1006.0673'
intvolume: '      6281'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1006.0673
month: '09'
oa: 1
oa_version: Preprint
page: 246 - 257
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '214373'
  name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '2325'
pubrep_id: '60'
quality_controlled: '1'
related_material:
  record:
  - id: '1731'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Randomness for free
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6281
year: '2010'
...
