---
_id: '9393'
abstract:
- lang: eng
  text: "We consider the core algorithmic problems related to verification of systems
    with respect to three classical quantitative properties, namely, the mean-payoff,
    the ratio, and the minimum initial credit for energy property. The algorithmic
    problem given a graph and a quantitative property asks to compute the optimal
    value (the infimum value over all traces) from every node of the graph. We consider
    graphs with bounded treewidth—a class that contains the control flow graphs of
    most programs. Let n denote the number of nodes of a graph, m the number of edges
    (for bounded treewidth \U0001D45A=\U0001D442(\U0001D45B)) and W the largest absolute
    value of the weights. Our main theoretical results are as follows. First, for
    the minimum initial credit problem we show that (1) for general graphs the problem
    can be solved in \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision
    problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known
    \U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A)
    bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm
    that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth
    graphs we present an algorithm that approximates the mean-payoff value within
    a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716))
    as compared to the classical exact algorithms on general graphs that require quadratic
    time. Third, for the ratio property we present an algorithm that for bounded treewidth
    graphs works in time \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)),
    when the output is \U0001D44E\U0001D44F, as compared to the previously best known
    algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)).
    We have implemented some of our algorithms and show that they present a significant
    speedup on standard benchmarks."
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
  Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant
  (279307: Graph Games), and Microsoft faculty fellows award.'
article_processing_charge: No
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: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- 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, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative
    verification in bounded treewidth graphs. <i>Formal Methods in System Design</i>.
    2021;57:401-428. doi:<a href="https://doi.org/10.1007/s10703-021-00373-5">10.1007/s10703-021-00373-5</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2021). Faster algorithms
    for quantitative verification in bounded treewidth graphs. <i>Formal Methods in
    System Design</i>. Springer. <a href="https://doi.org/10.1007/s10703-021-00373-5">https://doi.org/10.1007/s10703-021-00373-5</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
    “Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.”
    <i>Formal Methods in System Design</i>. Springer, 2021. <a href="https://doi.org/10.1007/s10703-021-00373-5">https://doi.org/10.1007/s10703-021-00373-5</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for
    quantitative verification in bounded treewidth graphs,” <i>Formal Methods in System
    Design</i>, vol. 57. Springer, pp. 401–428, 2021.
  ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for
    quantitative verification in bounded treewidth graphs. Formal Methods in System
    Design. 57, 401–428.
  mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification
    in Bounded Treewidth Graphs.” <i>Formal Methods in System Design</i>, vol. 57,
    Springer, 2021, pp. 401–28, doi:<a href="https://doi.org/10.1007/s10703-021-00373-5">10.1007/s10703-021-00373-5</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System
    Design 57 (2021) 401–428.
date_created: 2021-05-16T22:01:47Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2023-10-10T11:13:20Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s10703-021-00373-5
ec_funded: 1
external_id:
  arxiv:
  - '1504.07384'
  isi:
  - '000645490300001'
intvolume: '        57'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1504.07384
month: '09'
oa: 1
oa_version: Preprint
page: 401-428
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Formal Methods in System Design
publication_identifier:
  eissn:
  - 1572-8102
  issn:
  - 0925-9856
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for quantitative verification in bounded treewidth graphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2021'
...
---
_id: '738'
abstract:
- lang: eng
  text: 'This paper is devoted to automatic competitive analysis of real-time scheduling
    algorithms for firm-deadline tasksets, where only completed tasks con- tribute
    some utility to the system. Given such a taskset T , the competitive ratio of
    an on-line scheduling algorithm A for T is the worst-case utility ratio of A over
    the utility achieved by a clairvoyant algorithm. We leverage the theory of quantitative
    graph games to address the competitive analysis and competitive synthesis problems.
    For the competitive analysis case, given any taskset T and any finite-memory on-
    line scheduling algorithm A , we show that the competitive ratio of A in T can
    be computed in polynomial time in the size of the state space of A . Our approach
    is flexible as it also provides ways to model meaningful constraints on the released
    task sequences that determine the competitive ratio. We provide an experimental
    study of many well-known on-line scheduling algorithms, which demonstrates the
    feasibility of our competitive analysis approach that effectively replaces human
    ingenuity (required Preliminary versions of this paper have appeared in Chatterjee
    et al. ( 2013 , 2014 ). B Andreas Pavlogiannis pavlogiannis@ist.ac.at Krishnendu
    Chatterjee krish.chat@ist.ac.at Alexander Kößler koe@ecs.tuwien.ac.at Ulrich Schmid
    s@ecs.tuwien.ac.at 1 IST Austria (Institute of Science and Technology Austria),
    Am Campus 1, 3400 Klosterneuburg, Austria 2 Embedded Computing Systems Group,
    Vienna University of Technology, Treitlstrasse 3, 1040 Vienna, Austria 123 Real-Time
    Syst for finding worst-case scenarios) by computing power. For the competitive
    synthesis case, we are just given a taskset T , and the goal is to automatically
    synthesize an opti- mal on-line scheduling algorithm A , i.e., one that guarantees
    the largest competitive ratio possible for T . We show how the competitive synthesis
    problem can be reduced to a two-player graph game with partial information, and
    establish that the compu- tational complexity of solving this game is Np -complete.
    The competitive synthesis problem is hence in Np in the size of the state space
    of the non-deterministic labeled transition system encoding the taskset. Overall,
    the proposed framework assists in the selection of suitable scheduling algorithms
    for a given taskset, which is in fact the most common situation in real-time systems
    design. '
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: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Alexander
  full_name: Kößler, Alexander
  last_name: Kößler
- first_name: Ulrich
  full_name: Schmid, Ulrich
  last_name: Schmid
citation:
  ama: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. Automated competitive analysis
    of real time scheduling with graph games. <i>Real-Time Systems</i>. 2018;54(1):166-207.
    doi:<a href="https://doi.org/10.1007/s11241-017-9293-4">10.1007/s11241-017-9293-4</a>
  apa: Chatterjee, K., Pavlogiannis, A., Kößler, A., &#38; Schmid, U. (2018). Automated
    competitive analysis of real time scheduling with graph games. <i>Real-Time Systems</i>.
    Springer. <a href="https://doi.org/10.1007/s11241-017-9293-4">https://doi.org/10.1007/s11241-017-9293-4</a>
  chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Alexander Kößler, and Ulrich
    Schmid. “Automated Competitive Analysis of Real Time Scheduling with Graph Games.”
    <i>Real-Time Systems</i>. Springer, 2018. <a href="https://doi.org/10.1007/s11241-017-9293-4">https://doi.org/10.1007/s11241-017-9293-4</a>.
  ieee: K. Chatterjee, A. Pavlogiannis, A. Kößler, and U. Schmid, “Automated competitive
    analysis of real time scheduling with graph games,” <i>Real-Time Systems</i>,
    vol. 54, no. 1. Springer, pp. 166–207, 2018.
  ista: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. 2018. Automated competitive
    analysis of real time scheduling with graph games. Real-Time Systems. 54(1), 166–207.
  mla: Chatterjee, Krishnendu, et al. “Automated Competitive Analysis of Real Time
    Scheduling with Graph Games.” <i>Real-Time Systems</i>, vol. 54, no. 1, Springer,
    2018, pp. 166–207, doi:<a href="https://doi.org/10.1007/s11241-017-9293-4">10.1007/s11241-017-9293-4</a>.
  short: K. Chatterjee, A. Pavlogiannis, A. Kößler, U. Schmid, Real-Time Systems 54
    (2018) 166–207.
date_created: 2018-12-11T11:48:14Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2023-09-27T12:52:38Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s11241-017-9293-4
ec_funded: 1
external_id:
  isi:
  - '000419955500006'
file:
- access_level: open_access
  checksum: c2590ef160709d8054cf29ee173f1454
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:14Z
  date_updated: 2020-07-14T12:47:56Z
  file_id: '5267'
  file_name: IST-2018-960-v1+1_2017_Chatterjee_Automated_competetive.pdf
  file_size: 1163507
  relation: main_file
file_date_updated: 2020-07-14T12:47:56Z
has_accepted_license: '1'
intvolume: '        54'
isi: 1
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 166 - 207
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _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: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Real-Time Systems
publication_status: published
publisher: Springer
publist_id: '6929'
pubrep_id: '960'
quality_controlled: '1'
related_material:
  record:
  - id: '2820'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Automated competitive analysis of real time scheduling with graph 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: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 54
year: '2018'
...
---
_id: '34'
abstract:
- lang: eng
  text: Partially observable Markov decision processes (POMDPs) are widely used in
    probabilistic planning problems in which an agent interacts with an environment
    using noisy and imprecise sensors. We study a setting in which the sensors are
    only partially defined and the goal is to synthesize “weakest” additional sensors,
    such that in the resulting POMDP, there is a small-memory policy for the agent
    that almost-surely (with probability 1) satisfies a reachability objective. We
    show that the problem is NP-complete, and present a symbolic algorithm by encoding
    the problem into SAT instances. We illustrate trade-offs between the amount of
    memory of the policy and the number of additional sensors on a simple example.
    We have implemented our approach and consider three classical POMDP examples from
    the literature, and show that in all the examples the number of sensors can be
    significantly decreased (as compared to the existing solutions in the literature)
    without increasing the complexity of the policies.
alternative_title:
- ICAPS
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: Martin
  full_name: Chemlík, Martin
  last_name: Chemlík
- first_name: Ufuk
  full_name: Topcu, Ufuk
  last_name: Topcu
citation:
  ama: 'Chatterjee K, Chemlík M, Topcu U. Sensor synthesis for POMDPs with reachability
    objectives. In: Vol 2018. AAAI Press; 2018:47-55.'
  apa: 'Chatterjee, K., Chemlík, M., &#38; Topcu, U. (2018). Sensor synthesis for
    POMDPs with reachability objectives (Vol. 2018, pp. 47–55). Presented at the ICAPS:
    International Conference on Automated Planning and Scheduling, Delft, Netherlands:
    AAAI Press.'
  chicago: Chatterjee, Krishnendu, Martin Chemlík, and Ufuk Topcu. “Sensor Synthesis
    for POMDPs with Reachability Objectives,” 2018:47–55. AAAI Press, 2018.
  ieee: 'K. Chatterjee, M. Chemlík, and U. Topcu, “Sensor synthesis for POMDPs with
    reachability objectives,” presented at the ICAPS: International Conference on
    Automated Planning and Scheduling, Delft, Netherlands, 2018, vol. 2018, pp. 47–55.'
  ista: 'Chatterjee K, Chemlík M, Topcu U. 2018. Sensor synthesis for POMDPs with
    reachability objectives. ICAPS: International Conference on Automated Planning
    and Scheduling, ICAPS, vol. 2018, 47–55.'
  mla: Chatterjee, Krishnendu, et al. <i>Sensor Synthesis for POMDPs with Reachability
    Objectives</i>. Vol. 2018, AAAI Press, 2018, pp. 47–55.
  short: K. Chatterjee, M. Chemlík, U. Topcu, in:, AAAI Press, 2018, pp. 47–55.
conference:
  end_date: 2018-06-29
  location: Delft, Netherlands
  name: 'ICAPS: International Conference on Automated Planning and Scheduling'
  start_date: 2018-06-24
date_created: 2018-12-11T11:44:16Z
date_published: 2018-06-01T00:00:00Z
date_updated: 2023-09-19T14:44:14Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
external_id:
  arxiv:
  - '1710.00675'
  isi:
  - '000492986200006'
intvolume: '      2018'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1710.00675
month: '06'
oa: 1
oa_version: Preprint
page: 47 - 55
project:
- _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: 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: AAAI Press
publist_id: '8021'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sensor synthesis for POMDPs with reachability objectives
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2018
year: '2018'
...
---
_id: '1066'
abstract:
- lang: eng
  text: "Simulation is an attractive alternative to language inclusion for automata
    as it is an under-approximation of language inclusion, but usually has much lower
    complexity. Simulation has also been extended in two orthogonal directions, namely,
    (1) fair simulation, for simulation over specified set of infinite runs; and (2)
    quantitative simulation, for simulation between weighted automata. While fair
    trace inclusion is PSPACE-complete, fair simulation can be computed in polynomial
    time. For weighted automata, the (quantitative) language inclusion problem is
    undecidable in general, whereas the (quantitative) simulation reduces to quantitative
    games, which admit pseudo-polynomial time algorithms.\r\n\r\nIn this work, we
    study (quantitative) simulation for weighted automata with Büchi acceptance conditions,
    i.e., we generalize fair simulation from non-weighted automata to weighted automata.
    We show that imposing Büchi acceptance conditions on weighted automata changes
    many fundamental properties of the simulation games, yet they still admit pseudo-polynomial
    time algorithms."
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: Chatterjee K, Henzinger TA, Otop J, Velner Y. Quantitative fair simulation
    games. <i>Information and Computation</i>. 2017;254(2):143-166. doi:<a href="https://doi.org/10.1016/j.ic.2016.10.006">10.1016/j.ic.2016.10.006</a>
  apa: Chatterjee, K., Henzinger, T. A., Otop, J., &#38; Velner, Y. (2017). Quantitative
    fair simulation games. <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2016.10.006">https://doi.org/10.1016/j.ic.2016.10.006</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Yaron Velner.
    “Quantitative Fair Simulation Games.” <i>Information and Computation</i>. Elsevier,
    2017. <a href="https://doi.org/10.1016/j.ic.2016.10.006">https://doi.org/10.1016/j.ic.2016.10.006</a>.
  ieee: K. Chatterjee, T. A. Henzinger, J. Otop, and Y. Velner, “Quantitative fair
    simulation games,” <i>Information and Computation</i>, vol. 254, no. 2. Elsevier,
    pp. 143–166, 2017.
  ista: Chatterjee K, Henzinger TA, Otop J, Velner Y. 2017. Quantitative fair simulation
    games. Information and Computation. 254(2), 143–166.
  mla: Chatterjee, Krishnendu, et al. “Quantitative Fair Simulation Games.” <i>Information
    and Computation</i>, vol. 254, no. 2, Elsevier, 2017, pp. 143–66, doi:<a href="https://doi.org/10.1016/j.ic.2016.10.006">10.1016/j.ic.2016.10.006</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, Y. Velner, Information and Computation
    254 (2017) 143–166.
date_created: 2018-12-11T11:49:58Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-09-20T12:07:48Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2016.10.006
ec_funded: 1
external_id:
  isi:
  - '000402025600002'
intvolume: '       254'
isi: 1
issue: '2'
language:
- iso: eng
month: '06'
oa_version: None
page: 143 - 166
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '6322'
quality_controlled: '1'
related_material:
  record:
  - id: '5428'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Quantitative fair simulation games
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 254
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'
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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: '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:
- open_access: '1'
  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
- _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: ACM Transactions on Computational Logic (TOCL)
publication_identifier:
  issn:
  - '15293785'
publication_status: published
publisher: ACM
publist_id: '7354'
quality_controlled: '1'
related_material:
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  - id: '1656'
    relation: earlier_version
    status: public
  - id: '5415'
    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: '1294'
abstract:
- lang: eng
  text: We study controller synthesis problems for finite-state Markov decision processes,
    where the objective is to optimize the expected mean-payoff performance and stability
    (also known as variability in the literature). We argue that the basic notion
    of expressing the stability using the statistical variance of the mean payoff
    is sometimes insufficient, and propose an alternative definition. We show that
    a strategy ensuring both the expected mean payoff and the variance below given
    bounds requires randomization and memory, under both the above definitions. We
    then show that the problem of finding such a strategy can be expressed as a set
    of constraints.
article_processing_charge: No
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Vojtěch
  full_name: Forejt, Vojtěch
  last_name: Forejt
- first_name: Antonín
  full_name: Kučera, Antonín
  last_name: Kučera
citation:
  ama: Brázdil T, Chatterjee K, Forejt V, Kučera A. Trading performance for stability
    in Markov decision processes. <i>Journal of Computer and System Sciences</i>.
    2017;84:144-170. doi:<a href="https://doi.org/10.1016/j.jcss.2016.09.009">10.1016/j.jcss.2016.09.009</a>
  apa: Brázdil, T., Chatterjee, K., Forejt, V., &#38; Kučera, A. (2017). Trading performance
    for stability in Markov decision processes. <i>Journal of Computer and System
    Sciences</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcss.2016.09.009">https://doi.org/10.1016/j.jcss.2016.09.009</a>
  chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Vojtěch Forejt, and Antonín Kučera.
    “Trading Performance for Stability in Markov Decision Processes.” <i>Journal of
    Computer and System Sciences</i>. Elsevier, 2017. <a href="https://doi.org/10.1016/j.jcss.2016.09.009">https://doi.org/10.1016/j.jcss.2016.09.009</a>.
  ieee: T. Brázdil, K. Chatterjee, V. Forejt, and A. Kučera, “Trading performance
    for stability in Markov decision processes,” <i>Journal of Computer and System
    Sciences</i>, vol. 84. Elsevier, pp. 144–170, 2017.
  ista: Brázdil T, Chatterjee K, Forejt V, Kučera A. 2017. Trading performance for
    stability in Markov decision processes. Journal of Computer and System Sciences.
    84, 144–170.
  mla: Brázdil, Tomáš, et al. “Trading Performance for Stability in Markov Decision
    Processes.” <i>Journal of Computer and System Sciences</i>, vol. 84, Elsevier,
    2017, pp. 144–70, doi:<a href="https://doi.org/10.1016/j.jcss.2016.09.009">10.1016/j.jcss.2016.09.009</a>.
  short: T. Brázdil, K. Chatterjee, V. Forejt, A. Kučera, Journal of Computer and
    System Sciences 84 (2017) 144–170.
date_created: 2018-12-11T11:51:12Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2023-09-20T11:15:31Z
day: '01'
ddc:
- '004'
- '006'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2016.09.009
ec_funded: 1
external_id:
  isi:
  - '000388430000011'
file:
- access_level: open_access
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  file_size: 708657
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file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: '        84'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 144 - 170
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: Elsevier
publist_id: '6009'
pubrep_id: '717'
quality_controlled: '1'
related_material:
  record:
  - id: '2305'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Trading performance for stability in Markov decision processes
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 84
year: '2017'
...
---
_id: '1477'
abstract:
- lang: eng
  text: We consider partially observable Markov decision processes (POMDPs) with ω-regular
    conditions specified as parity objectives. The class of ω-regular languages provides
    a robust specification language to express properties in verification, and parity
    objectives are canonical forms to express them. The qualitative analysis problem
    given a POMDP and a parity objective asks whether there is a strategy to ensure
    that the objective is satisfied with probability 1 (resp. positive probability).
    While the qualitative analysis problems are undecidable even for special cases
    of parity objectives, we establish decidability (with optimal complexity) for
    POMDPs with all parity objectives under finite-memory strategies. We establish
    optimal (exponential) memory bounds and EXPTIME-completeness of the qualitative
    analysis problems under finite-memory strategies for POMDPs with parity objectives.
    We also present a practical approach, where we design heuristics to deal with
    the exponential complexity, and have applied our implementation on a number of
    POMDP examples.
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: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Mathieu
  full_name: Tracol, Mathieu
  id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
  last_name: Tracol
citation:
  ama: Chatterjee K, Chmelik M, Tracol M. What is decidable about partially observable
    Markov decision processes with ω-regular objectives. <i>Journal of Computer and
    System Sciences</i>. 2016;82(5):878-911. doi:<a href="https://doi.org/10.1016/j.jcss.2016.02.009">10.1016/j.jcss.2016.02.009</a>
  apa: Chatterjee, K., Chmelik, M., &#38; Tracol, M. (2016). What is decidable about
    partially observable Markov decision processes with ω-regular objectives. <i>Journal
    of Computer and System Sciences</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcss.2016.02.009">https://doi.org/10.1016/j.jcss.2016.02.009</a>
  chicago: Chatterjee, Krishnendu, Martin Chmelik, and Mathieu Tracol. “What Is Decidable
    about Partially Observable Markov Decision Processes with ω-Regular Objectives.”
    <i>Journal of Computer and System Sciences</i>. Elsevier, 2016. <a href="https://doi.org/10.1016/j.jcss.2016.02.009">https://doi.org/10.1016/j.jcss.2016.02.009</a>.
  ieee: K. Chatterjee, M. Chmelik, and M. Tracol, “What is decidable about partially
    observable Markov decision processes with ω-regular objectives,” <i>Journal of
    Computer and System Sciences</i>, vol. 82, no. 5. Elsevier, pp. 878–911, 2016.
  ista: Chatterjee K, Chmelik M, Tracol M. 2016. What is decidable about partially
    observable Markov decision processes with ω-regular objectives. Journal of Computer
    and System Sciences. 82(5), 878–911.
  mla: Chatterjee, Krishnendu, et al. “What Is Decidable about Partially Observable
    Markov Decision Processes with ω-Regular Objectives.” <i>Journal of Computer and
    System Sciences</i>, vol. 82, no. 5, Elsevier, 2016, pp. 878–911, doi:<a href="https://doi.org/10.1016/j.jcss.2016.02.009">10.1016/j.jcss.2016.02.009</a>.
  short: K. Chatterjee, M. Chmelik, M. Tracol, Journal of Computer and System Sciences
    82 (2016) 878–911.
date_created: 2018-12-11T11:52:15Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2023-02-23T12:24:38Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2016.02.009
ec_funded: 1
external_id:
  arxiv:
  - '1309.2802'
intvolume: '        82'
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1309.2802
month: '08'
oa: 1
oa_version: Preprint
page: 878 - 911
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: Elsevier
publist_id: '5718'
quality_controlled: '1'
related_material:
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  - id: '2295'
    relation: earlier_version
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  - id: '5400'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: What is decidable about partially observable Markov decision processes with
  ω-regular objectives
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 82
year: '2016'
...
---
_id: '10796'
abstract:
- lang: eng
  text: 'We consider concurrent mean-payoff games, a very well-studied class of two-player
    (player 1 vs player 2) zero-sum games on finite-state graphs where every transition
    is assigned a reward between 0 and 1, and the payoff function is the long-run
    average of the rewards. The value is the maximal expected payoff that player 1
    can guarantee against all strategies of player 2. We consider the computation
    of the set of states with value 1 under finite-memory strategies for player 1,
    and our main results for the problem are as follows: (1) we present a polynomial-time
    algorithm; (2) we show that whenever there is a finite-memory strategy, there
    is a stationary strategy that does not need memory at all; and (3) we present
    an optimal bound (which is double exponential) on the patience of stationary strategies
    (where patience of a distribution is the inverse of the smallest positive probability
    and represents a complexity measure of a stationary strategy).'
acknowledgement: "The research was partly supported by FWF Grant No P 23499-N23, FWF
  NFN Grant\r\nNo S11407-N23 (RiSE), ERC Start grant (279307: Graph Games), and Microsoft
  faculty fellows award."
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: 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, Ibsen-Jensen R. The value 1 problem under finite-memory strategies
    for concurrent mean-payoff games. In: <i>Proceedings of the Twenty-Sixth Annual
    ACM-SIAM Symposium on Discrete Algorithms</i>. Vol 2015. SIAM; 2015:1018-1029.
    doi:<a href="https://doi.org/10.1137/1.9781611973730.69">10.1137/1.9781611973730.69</a>'
  apa: 'Chatterjee, K., &#38; Ibsen-Jensen, R. (2015). The value 1 problem under finite-memory
    strategies for concurrent mean-payoff games. In <i>Proceedings of the Twenty-Sixth
    Annual ACM-SIAM Symposium on Discrete Algorithms</i> (Vol. 2015, pp. 1018–1029).
    San Diego, CA, United States: SIAM. <a href="https://doi.org/10.1137/1.9781611973730.69">https://doi.org/10.1137/1.9781611973730.69</a>'
  chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Value 1 Problem under
    Finite-Memory Strategies for Concurrent Mean-Payoff Games.” In <i>Proceedings
    of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 2015:1018–29.
    SIAM, 2015. <a href="https://doi.org/10.1137/1.9781611973730.69">https://doi.org/10.1137/1.9781611973730.69</a>.
  ieee: K. Chatterjee and R. Ibsen-Jensen, “The value 1 problem under finite-memory
    strategies for concurrent mean-payoff games,” in <i>Proceedings of the Twenty-Sixth
    Annual ACM-SIAM Symposium on Discrete Algorithms</i>, San Diego, CA, United States,
    2015, vol. 2015, no. 1, pp. 1018–1029.
  ista: 'Chatterjee K, Ibsen-Jensen R. 2015. The value 1 problem under finite-memory
    strategies for concurrent mean-payoff games. Proceedings of the Twenty-Sixth Annual
    ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms
    vol. 2015, 1018–1029.'
  mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Value 1 Problem under
    Finite-Memory Strategies for Concurrent Mean-Payoff Games.” <i>Proceedings of
    the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms</i>, vol. 2015,
    no. 1, SIAM, 2015, pp. 1018–29, doi:<a href="https://doi.org/10.1137/1.9781611973730.69">10.1137/1.9781611973730.69</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, in:, Proceedings of the Twenty-Sixth Annual
    ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2015, pp. 1018–1029.
conference:
  end_date: 2015-01-06
  location: San Diego, CA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2015-01-04
date_created: 2022-02-25T12:18:43Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2022-02-25T12:33:32Z
day: '01'
department:
- _id: KrCh
doi: 10.1137/1.9781611973730.69
ec_funded: 1
external_id:
  arxiv:
  - '1409.6690'
intvolume: '      2015'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: Preprint
page: 1018-1029
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: Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete
  Algorithms
publication_identifier:
  isbn:
  - 978-161197374-7
publication_status: published
publisher: SIAM
quality_controlled: '1'
scopus_import: '1'
status: public
title: The value 1 problem under finite-memory strategies for concurrent mean-payoff
  games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2015
year: '2015'
...
---
_id: '1624'
abstract:
- lang: eng
  text: Population structure can facilitate evolution of cooperation. In a structured
    population, cooperators can form clusters which resist exploitation by defectors.
    Recently, it was observed that a shift update rule is an extremely strong amplifier
    of cooperation in a one dimensional spatial model. For the shift update rule,
    an individual is chosen for reproduction proportional to fecundity; the offspring
    is placed next to the parent; a random individual dies. Subsequently, the population
    is rearranged (shifted) until all individual cells are again evenly spaced out.
    For large population size and a one dimensional population structure, the shift
    update rule favors cooperation for any benefit-to-cost ratio greater than one.
    But every attempt to generalize shift updating to higher dimensions while maintaining
    its strong effect has failed. The reason is that in two dimensions the clusters
    are fragmented by the movements caused by rearranging the cells. Here we introduce
    the natural phenomenon of a repulsive force between cells of different types.
    After a birth and death event, the cells are being rearranged minimizing the overall
    energy expenditure. If the repulsive force is sufficiently high, shift becomes
    a strong promoter of cooperation in two dimensions.
acknowledgement: 'The research was supported by the Austrian Science Fund (FWF) Grant
  No P23499-N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start grant (279307:
  Graph Games), and Microsoft Faculty Fellows award. Support from the John Templeton
  foundation is gratefully acknowledged.'
article_number: '17147'
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ben
  full_name: Adlam, Ben
  last_name: Adlam
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Pavlogiannis A, Chatterjee K, Adlam B, Nowak M. Cellular cooperation with shift
    updating and repulsion. <i>Scientific Reports</i>. 2015;5. doi:<a href="https://doi.org/10.1038/srep17147">10.1038/srep17147</a>
  apa: Pavlogiannis, A., Chatterjee, K., Adlam, B., &#38; Nowak, M. (2015). Cellular
    cooperation with shift updating and repulsion. <i>Scientific Reports</i>. Nature
    Publishing Group. <a href="https://doi.org/10.1038/srep17147">https://doi.org/10.1038/srep17147</a>
  chicago: Pavlogiannis, Andreas, Krishnendu Chatterjee, Ben Adlam, and Martin Nowak.
    “Cellular Cooperation with Shift Updating and Repulsion.” <i>Scientific Reports</i>.
    Nature Publishing Group, 2015. <a href="https://doi.org/10.1038/srep17147">https://doi.org/10.1038/srep17147</a>.
  ieee: A. Pavlogiannis, K. Chatterjee, B. Adlam, and M. Nowak, “Cellular cooperation
    with shift updating and repulsion,” <i>Scientific Reports</i>, vol. 5. Nature
    Publishing Group, 2015.
  ista: Pavlogiannis A, Chatterjee K, Adlam B, Nowak M. 2015. Cellular cooperation
    with shift updating and repulsion. Scientific Reports. 5, 17147.
  mla: Pavlogiannis, Andreas, et al. “Cellular Cooperation with Shift Updating and
    Repulsion.” <i>Scientific Reports</i>, vol. 5, 17147, Nature Publishing Group,
    2015, doi:<a href="https://doi.org/10.1038/srep17147">10.1038/srep17147</a>.
  short: A. Pavlogiannis, K. Chatterjee, B. Adlam, M. Nowak, Scientific Reports 5
    (2015).
date_created: 2018-12-11T11:53:06Z
date_published: 2015-11-25T00:00:00Z
date_updated: 2021-01-12T06:52:05Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1038/srep17147
ec_funded: 1
file:
- access_level: open_access
  checksum: 38e06d8310d2087cae5f6d4d4bfe082b
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:12:29Z
  date_updated: 2020-07-14T12:45:07Z
  file_id: '4947'
  file_name: IST-2016-466-v1+1_srep17147.pdf
  file_size: 1021931
  relation: main_file
file_date_updated: 2020-07-14T12:45:07Z
has_accepted_license: '1'
intvolume: '         5'
language:
- iso: eng
month: '11'
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: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Scientific Reports
publication_status: published
publisher: Nature Publishing Group
publist_id: '5536'
pubrep_id: '466'
quality_controlled: '1'
scopus_import: 1
status: public
title: Cellular cooperation with shift updating and repulsion
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: 5
year: '2015'
...
---
_id: '1656'
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, nor in any other know
    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 run-time 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.
acknowledgement: "This research was funded in part by the European Research Council
  (ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF)
  projects S11402-N23 (RiSE), Z211-N23 (Wittgenstein Award), FWF Grant No P23499-
  N23, FWF NFN Grant No S11407-N23 (RiSE), ERC Start grant (279307: Graph Games),
  and Microsoft faculty fellows award.\r\nA Technical Report of the paper is available
  at: \r\nhttps://repository.ist.ac.at/331/\r\n"
article_number: '7174926'
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. In: <i>Proceedings
    - Symposium on Logic in Computer Science</i>. Vol 2015-July. IEEE; 2015. doi:<a
    href="https://doi.org/10.1109/LICS.2015.72">10.1109/LICS.2015.72</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2015). Nested weighted automata.
    In <i>Proceedings - Symposium on Logic in Computer Science</i> (Vol. 2015–July).
    Kyoto, Japan: IEEE. <a href="https://doi.org/10.1109/LICS.2015.72">https://doi.org/10.1109/LICS.2015.72</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted
    Automata.” In <i>Proceedings - Symposium on Logic in Computer Science</i>, Vol.
    2015–July. IEEE, 2015. <a href="https://doi.org/10.1109/LICS.2015.72">https://doi.org/10.1109/LICS.2015.72</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” in
    <i>Proceedings - Symposium on Logic in Computer Science</i>, Kyoto, Japan, 2015,
    vol. 2015–July.
  ista: 'Chatterjee K, Henzinger TA, Otop J. 2015. Nested weighted automata. Proceedings
    - Symposium on Logic in Computer Science. LICS: Logic in Computer Science vol.
    2015–July, 7174926.'
  mla: Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” <i>Proceedings -
    Symposium on Logic in Computer Science</i>, vol. 2015–July, 7174926, IEEE, 2015,
    doi:<a href="https://doi.org/10.1109/LICS.2015.72">10.1109/LICS.2015.72</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Proceedings - Symposium on Logic
    in Computer Science, IEEE, 2015.
conference:
  end_date: 2015-07-10
  location: Kyoto, Japan
  name: 'LICS: Logic in Computer Science'
  start_date: 2015-07-06
date_created: 2018-12-11T11:53:17Z
date_published: 2015-07-31T00:00:00Z
date_updated: 2023-02-23T12:26:19Z
day: '31'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1109/LICS.2015.72
ec_funded: 1
external_id:
  arxiv:
  - '1606.03598'
language:
- iso: eng
month: '07'
oa_version: None
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _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
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Proceedings - Symposium on Logic in Computer Science
publication_status: published
publisher: IEEE
publist_id: '5494'
quality_controlled: '1'
related_material:
  record:
  - id: '467'
    relation: later_version
    status: public
  - id: '5415'
    relation: earlier_version
    status: public
  - id: '5436'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Nested weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2015-July
year: '2015'
...
---
_id: '1694'
abstract:
- lang: eng
  text: "\r\nWe introduce quantitative timed refinement and timed simulation (directed)
    metrics, incorporating zenoness checks, for timed systems. These metrics assign
    positive real numbers which quantify the timing mismatches between two timed systems,
    amongst non-zeno runs. We quantify timing mismatches in three ways: (1) the maximal
    timing mismatch that can arise, (2) the “steady-state” maximal timing mismatches,
    where initial transient timing mismatches are ignored; and (3) the (long-run)
    average timing mismatches amongst two systems. These three kinds of mismatches
    constitute three important types of timing differences. Our event times are the
    global times, measured from the start of the system execution, not just the time
    durations of individual steps. We present algorithms over timed automata for computing
    the three quantitative simulation distances to within any desired degree of accuracy.
    In order to compute the values of the quantitative simulation distances, we use
    a game theoretic formulation. We introduce two new kinds of objectives for two
    player games on finite-state game graphs: (1) eventual debit-sum level objectives,
    and (2) average debit-sum level objectives. We present algorithms for computing
    the optimal values for these objectives in graph games, and then use these algorithms
    to compute the values of the timed simulation distances over timed automata.\r\n"
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Vinayak
  full_name: Prabhu, Vinayak
  last_name: Prabhu
citation:
  ama: Chatterjee K, Prabhu V. Quantitative temporal simulation and refinement distances
    for timed systems. <i>IEEE Transactions on Automatic Control</i>. 2015;60(9):2291-2306.
    doi:<a href="https://doi.org/10.1109/TAC.2015.2404612">10.1109/TAC.2015.2404612</a>
  apa: Chatterjee, K., &#38; Prabhu, V. (2015). Quantitative temporal simulation and
    refinement distances for timed systems. <i>IEEE Transactions on Automatic Control</i>.
    IEEE. <a href="https://doi.org/10.1109/TAC.2015.2404612">https://doi.org/10.1109/TAC.2015.2404612</a>
  chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
    and Refinement Distances for Timed Systems.” <i>IEEE Transactions on Automatic
    Control</i>. IEEE, 2015. <a href="https://doi.org/10.1109/TAC.2015.2404612">https://doi.org/10.1109/TAC.2015.2404612</a>.
  ieee: K. Chatterjee and V. Prabhu, “Quantitative temporal simulation and refinement
    distances for timed systems,” <i>IEEE Transactions on Automatic Control</i>, vol.
    60, no. 9. IEEE, pp. 2291–2306, 2015.
  ista: Chatterjee K, Prabhu V. 2015. Quantitative temporal simulation and refinement
    distances for timed systems. IEEE Transactions on Automatic Control. 60(9), 2291–2306.
  mla: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
    and Refinement Distances for Timed Systems.” <i>IEEE Transactions on Automatic
    Control</i>, vol. 60, no. 9, IEEE, 2015, pp. 2291–306, doi:<a href="https://doi.org/10.1109/TAC.2015.2404612">10.1109/TAC.2015.2404612</a>.
  short: K. Chatterjee, V. Prabhu, IEEE Transactions on Automatic Control 60 (2015)
    2291–2306.
date_created: 2018-12-11T11:53:30Z
date_published: 2015-02-24T00:00:00Z
date_updated: 2021-01-12T06:52:34Z
day: '24'
department:
- _id: KrCh
doi: 10.1109/TAC.2015.2404612
ec_funded: 1
intvolume: '        60'
issue: '9'
language:
- iso: eng
month: '02'
oa_version: None
page: 2291 - 2306
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: IEEE Transactions on Automatic Control
publication_status: published
publisher: IEEE
publist_id: '5450'
quality_controlled: '1'
scopus_import: 1
status: public
title: Quantitative temporal simulation and refinement distances for timed systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2015'
...
---
_id: '1698'
abstract:
- lang: eng
  text: 'In mean-payoff games, the objective of the protagonist is to ensure that
    the limit average of an infinite sequence of numeric weights is nonnegative. In
    energy games, the objective is to ensure that the running sum of weights is always
    nonnegative. Multi-mean-payoff and multi-energy games replace individual weights
    by tuples, and the limit average (resp., running sum) of each coordinate must
    be (resp., remain) nonnegative. We prove finite-memory determinacy of multi-energy
    games and show inter-reducibility of multi-mean-payoff and multi-energy games
    for finite-memory strategies. We improve the computational complexity for solving
    both classes with finite-memory strategies: we prove coNP-completeness improving
    the previous known EXPSPACE bound. For memoryless strategies, we show that deciding
    the existence of a winning strategy for the protagonist is NP-complete. We present
    the first solution of multi-mean-payoff games with infinite-memory strategies:
    we show that mean-payoff-sup objectives can be decided in NP∩coNP, whereas mean-payoff-inf
    objectives are coNP-complete.'
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
  Grant No P23499-N23, FWF NFN Grant No S11407-N23 and S11402-N23 (RiSE), ERC Start
  grant (279307: Graph Games), Microsoft faculty fellows award, the ERC Advanced Grant
  QUAREM (267989: Quantitative Reactive Modeling), European project Cassting (FP7-601148),
  ERC Start grant (279499: inVEST).'
author:
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Alexander
  full_name: Rabinovich, Alexander
  last_name: Rabinovich
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. The
    complexity of multi-mean-payoff and multi-energy games. <i>Information and Computation</i>.
    2015;241(4):177-196. doi:<a href="https://doi.org/10.1016/j.ic.2015.03.001">10.1016/j.ic.2015.03.001</a>
  apa: Velner, Y., Chatterjee, K., Doyen, L., Henzinger, T. A., Rabinovich, A., &#38;
    Raskin, J. (2015). The complexity of multi-mean-payoff and multi-energy games.
    <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.001">https://doi.org/10.1016/j.ic.2015.03.001</a>
  chicago: Velner, Yaron, Krishnendu Chatterjee, Laurent Doyen, Thomas A Henzinger,
    Alexander Rabinovich, and Jean Raskin. “The Complexity of Multi-Mean-Payoff and
    Multi-Energy Games.” <i>Information and Computation</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.ic.2015.03.001">https://doi.org/10.1016/j.ic.2015.03.001</a>.
  ieee: Y. Velner, K. Chatterjee, L. Doyen, T. A. Henzinger, A. Rabinovich, and J.
    Raskin, “The complexity of multi-mean-payoff and multi-energy games,” <i>Information
    and Computation</i>, vol. 241, no. 4. Elsevier, pp. 177–196, 2015.
  ista: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. 2015.
    The complexity of multi-mean-payoff and multi-energy games. Information and Computation.
    241(4), 177–196.
  mla: Velner, Yaron, et al. “The Complexity of Multi-Mean-Payoff and Multi-Energy
    Games.” <i>Information and Computation</i>, vol. 241, no. 4, Elsevier, 2015, pp.
    177–96, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.001">10.1016/j.ic.2015.03.001</a>.
  short: Y. Velner, K. Chatterjee, L. Doyen, T.A. Henzinger, A. Rabinovich, J. Raskin,
    Information and Computation 241 (2015) 177–196.
date_created: 2018-12-11T11:53:32Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2021-01-12T06:52:36Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2015.03.001
ec_funded: 1
intvolume: '       241'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1209.3234
month: '04'
oa: 1
oa_version: Preprint
page: 177 - 196
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: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '5443'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of multi-mean-payoff and multi-energy games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 241
year: '2015'
...
---
_id: '1709'
abstract:
- lang: eng
  text: The competition for resources among cells, individuals or species is a fundamental
    characteristic of evolution. Biological all-pay auctions have been used to model
    situations where multiple individuals compete for a single resource. However,
    in many situations multiple resources with various values exist and single reward
    auctions are not applicable. We generalize the model to multiple rewards and study
    the evolution of strategies. In biological all-pay auctions the bid of an individual
    corresponds to its strategy and is equivalent to its payment in the auction. The
    decreasingly ordered rewards are distributed according to the decreasingly ordered
    bids of the participating individuals. The reproductive success of an individual
    is proportional to its fitness given by the sum of the rewards won minus its payments.
    Hence, successful bidding strategies spread in the population. We find that the
    results for the multiple reward case are very different from the single reward
    case. While the mixed strategy equilibrium in the single reward case with more
    than two players consists of mostly low-bidding individuals, we show that the
    equilibrium can convert to many high-bidding individuals and a few low-bidding
    individuals in the multiple reward case. Some reward values lead to a specialization
    among the individuals where one subpopulation competes for the rewards and the
    other subpopulation largely avoids costly competitions. Whether the mixed strategy
    equilibrium is an evolutionarily stable strategy (ESS) depends on the specific
    values of the rewards.
acknowledgement: 'This work was supported by grants from the John Templeton Foundation,
  ERC Start Grant (279307: Graph Games), FWF NFN Grant (No S11407N23 RiSE/SHiNE),
  FWF Grant (No P23499N23) and a Microsoft faculty fellows award.'
article_processing_charge: No
article_type: original
author:
- first_name: Johannes
  full_name: Reiter, Johannes
  id: 4A918E98-F248-11E8-B48F-1D18A9856A87
  last_name: Reiter
  orcid: 0000-0002-0170-7353
- first_name: Ayush
  full_name: Kanodia, Ayush
  last_name: Kanodia
- first_name: Raghav
  full_name: Gupta, Raghav
  last_name: Gupta
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Reiter J, Kanodia A, Gupta R, Nowak M, Chatterjee K. Biological auctions with
    multiple rewards. <i>Proceedings of the Royal Society of London Series B Biological
    Sciences</i>. 2015;282(1812). doi:<a href="https://doi.org/10.1098/rspb.2015.1041">10.1098/rspb.2015.1041</a>
  apa: Reiter, J., Kanodia, A., Gupta, R., Nowak, M., &#38; Chatterjee, K. (2015).
    Biological auctions with multiple rewards. <i>Proceedings of the Royal Society
    of London Series B Biological Sciences</i>. Royal Society. <a href="https://doi.org/10.1098/rspb.2015.1041">https://doi.org/10.1098/rspb.2015.1041</a>
  chicago: Reiter, Johannes, Ayush Kanodia, Raghav Gupta, Martin Nowak, and Krishnendu
    Chatterjee. “Biological Auctions with Multiple Rewards.” <i>Proceedings of the
    Royal Society of London Series B Biological Sciences</i>. Royal Society, 2015.
    <a href="https://doi.org/10.1098/rspb.2015.1041">https://doi.org/10.1098/rspb.2015.1041</a>.
  ieee: J. Reiter, A. Kanodia, R. Gupta, M. Nowak, and K. Chatterjee, “Biological
    auctions with multiple rewards,” <i>Proceedings of the Royal Society of London
    Series B Biological Sciences</i>, vol. 282, no. 1812. Royal Society, 2015.
  ista: Reiter J, Kanodia A, Gupta R, Nowak M, Chatterjee K. 2015. Biological auctions
    with multiple rewards. Proceedings of the Royal Society of London Series B Biological
    Sciences. 282(1812).
  mla: Reiter, Johannes, et al. “Biological Auctions with Multiple Rewards.” <i>Proceedings
    of the Royal Society of London Series B Biological Sciences</i>, vol. 282, no.
    1812, Royal Society, 2015, doi:<a href="https://doi.org/10.1098/rspb.2015.1041">10.1098/rspb.2015.1041</a>.
  short: J. Reiter, A. Kanodia, R. Gupta, M. Nowak, K. Chatterjee, Proceedings of
    the Royal Society of London Series B Biological Sciences 282 (2015).
date_created: 2018-12-11T11:53:35Z
date_published: 2015-07-15T00:00:00Z
date_updated: 2023-09-07T11:40:43Z
day: '15'
department:
- _id: KrCh
doi: 10.1098/rspb.2015.1041
external_id:
  pmid:
  - '26180069'
intvolume: '       282'
issue: '1812'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4528522/
month: '07'
oa: 1
oa_version: Submitted Version
pmid: 1
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Proceedings of the Royal Society of London Series B Biological Sciences
publication_status: published
publisher: Royal Society
publist_id: '5425'
quality_controlled: '1'
related_material:
  record:
  - id: '1400'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: Biological auctions with multiple rewards
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 282
year: '2015'
...
---
_id: '1731'
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 (both players interact simultaneously);
    and (b) turn-based (both 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. In this work
    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. '
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. <i>Information
    and Computation</i>. 2015;245(12):3-16. doi:<a href="https://doi.org/10.1016/j.ic.2015.06.003">10.1016/j.ic.2015.06.003</a>
  apa: Chatterjee, K., Doyen, L., Gimbert, H., &#38; Henzinger, T. A. (2015). Randomness
    for free. <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.06.003">https://doi.org/10.1016/j.ic.2015.06.003</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Hugo Gimbert, and Thomas A Henzinger.
    “Randomness for Free.” <i>Information and Computation</i>. Elsevier, 2015. <a
    href="https://doi.org/10.1016/j.ic.2015.06.003">https://doi.org/10.1016/j.ic.2015.06.003</a>.
  ieee: K. Chatterjee, L. Doyen, H. Gimbert, and T. A. Henzinger, “Randomness for
    free,” <i>Information and Computation</i>, vol. 245, no. 12. Elsevier, pp. 3–16,
    2015.
  ista: Chatterjee K, Doyen L, Gimbert H, Henzinger TA. 2015. Randomness for free.
    Information and Computation. 245(12), 3–16.
  mla: Chatterjee, Krishnendu, et al. “Randomness for Free.” <i>Information and Computation</i>,
    vol. 245, no. 12, Elsevier, 2015, pp. 3–16, doi:<a href="https://doi.org/10.1016/j.ic.2015.06.003">10.1016/j.ic.2015.06.003</a>.
  short: K. Chatterjee, L. Doyen, H. Gimbert, T.A. Henzinger, Information and Computation
    245 (2015) 3–16.
date_created: 2018-12-11T11:53:42Z
date_published: 2015-12-01T00:00:00Z
date_updated: 2023-02-23T11:45:42Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2015.06.003
ec_funded: 1
intvolume: '       245'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1006.0673
month: '12'
oa: 1
oa_version: Preprint
page: 3 - 16
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
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _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
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '5395'
quality_controlled: '1'
related_material:
  record:
  - id: '3856'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Randomness for free
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 245
year: '2015'
...
---
_id: '1856'
abstract:
- lang: eng
  text: 'The traditional synthesis question given a specification asks for the automatic
    construction of a system that satisfies the specification, whereas often there
    exists a preference order among the different systems that satisfy the given specification.
    Under a probabilistic assumption about the possible inputs, such a preference
    order is naturally expressed by a weighted automaton, which assigns to each word
    a value, such that a system is preferred if it generates a higher expected value.
    We solve the following optimal synthesis problem: given an omega-regular specification,
    a Markov chain that describes the distribution of inputs, and a weighted automaton
    that measures how well a system satisfies the given specification under the input
    assumption, synthesize a system that optimizes the measured value. For safety
    specifications and quantitative measures that are defined by mean-payoff automata,
    the optimal synthesis problem reduces to finding a strategy in a Markov decision
    process (MDP) that is optimal for a long-run average reward objective, which can
    be achieved in polynomial time. For general omega-regular specifications along
    with mean-payoff automata, the solution rests on a new, polynomial-time algorithm
    for computing optimal strategies in MDPs with mean-payoff parity objectives. Our
    algorithm constructs optimal strategies that consist of two memoryless strategies
    and a counter. The counter is in general not bounded. To obtain a finite-state
    system, we show how to construct an ε-optimal strategy with a bounded counter,
    for all ε &gt; 0. Furthermore, we show how to decide in polynomial time if it
    is possible to construct an optimal finite-state system (i.e., a system without
    a counter) for a given specification. We have implemented our approach and the
    underlying algorithms in a tool that 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. We present
    some experimental results showing optimal systems that were automatically generated
    in this way.'
article_number: '9'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Barbara
  full_name: Jobstmann, Barbara
  last_name: Jobstmann
- first_name: Rohit
  full_name: Singh, Rohit
  last_name: Singh
citation:
  ama: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. Measuring and synthesizing
    systems in probabilistic environments. <i>Journal of the ACM</i>. 2015;62(1).
    doi:<a href="https://doi.org/10.1145/2699430">10.1145/2699430</a>
  apa: Chatterjee, K., Henzinger, T. A., Jobstmann, B., &#38; Singh, R. (2015). Measuring
    and synthesizing systems in probabilistic environments. <i>Journal of the ACM</i>.
    ACM. <a href="https://doi.org/10.1145/2699430">https://doi.org/10.1145/2699430</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit
    Singh. “Measuring and Synthesizing Systems in Probabilistic Environments.” <i>Journal
    of the ACM</i>. ACM, 2015. <a href="https://doi.org/10.1145/2699430">https://doi.org/10.1145/2699430</a>.
  ieee: K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “Measuring and
    synthesizing systems in probabilistic environments,” <i>Journal of the ACM</i>,
    vol. 62, no. 1. ACM, 2015.
  ista: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2015. Measuring and synthesizing
    systems in probabilistic environments. Journal of the ACM. 62(1), 9.
  mla: Chatterjee, Krishnendu, et al. “Measuring and Synthesizing Systems in Probabilistic
    Environments.” <i>Journal of the ACM</i>, vol. 62, no. 1, 9, ACM, 2015, doi:<a
    href="https://doi.org/10.1145/2699430">10.1145/2699430</a>.
  short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, Journal of the ACM
    62 (2015).
date_created: 2018-12-11T11:54:23Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2023-02-23T11:46:04Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/2699430
ec_funded: 1
intvolume: '        62'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1004.0739
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _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 the ACM
publication_status: published
publisher: ACM
publist_id: '5244'
quality_controlled: '1'
related_material:
  record:
  - id: '3864'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Measuring and synthesizing systems in probabilistic environments
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 62
year: '2015'
...
---
_id: '2034'
abstract:
- lang: eng
  text: Opacity is a generic security property, that has been defined on (non-probabilistic)
    transition systems and later on Markov chains with labels. For a secret predicate,
    given as a subset of runs, and a function describing the view of an external observer,
    the value of interest for opacity is a measure of the set of runs disclosing the
    secret. We extend this definition to the richer framework of Markov decision processes,
    where non-deterministicchoice is combined with probabilistic transitions, and
    we study related decidability problems with partial or complete observation hypotheses
    for the schedulers. We prove that all questions are decidable with complete observation
    and ω-regular secrets. With partial observation, we prove that all quantitative
    questions are undecidable but the question whether a system is almost surely non-opaquebecomes
    decidable for a restricted class of ω-regular secrets, as well as for all ω-regular
    secrets under finite-memory schedulers.
author:
- first_name: Béatrice
  full_name: Bérard, Béatrice
  last_name: Bérard
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Nathalie
  full_name: Sznajder, Nathalie
  last_name: Sznajder
citation:
  ama: Bérard B, Chatterjee K, Sznajder N. Probabilistic opacity for Markov decision
    processes. <i> Information Processing Letters</i>. 2015;115(1):52-59. doi:<a href="https://doi.org/10.1016/j.ipl.2014.09.001">10.1016/j.ipl.2014.09.001</a>
  apa: Bérard, B., Chatterjee, K., &#38; Sznajder, N. (2015). Probabilistic opacity
    for Markov decision processes. <i> Information Processing Letters</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.ipl.2014.09.001">https://doi.org/10.1016/j.ipl.2014.09.001</a>
  chicago: Bérard, Béatrice, Krishnendu Chatterjee, and Nathalie Sznajder. “Probabilistic
    Opacity for Markov Decision Processes.” <i> Information Processing Letters</i>.
    Elsevier, 2015. <a href="https://doi.org/10.1016/j.ipl.2014.09.001">https://doi.org/10.1016/j.ipl.2014.09.001</a>.
  ieee: B. Bérard, K. Chatterjee, and N. Sznajder, “Probabilistic opacity for Markov
    decision processes,” <i> Information Processing Letters</i>, vol. 115, no. 1.
    Elsevier, pp. 52–59, 2015.
  ista: Bérard B, Chatterjee K, Sznajder N. 2015. Probabilistic opacity for Markov
    decision processes.  Information Processing Letters. 115(1), 52–59.
  mla: Bérard, Béatrice, et al. “Probabilistic Opacity for Markov Decision Processes.”
    <i> Information Processing Letters</i>, vol. 115, no. 1, Elsevier, 2015, pp. 52–59,
    doi:<a href="https://doi.org/10.1016/j.ipl.2014.09.001">10.1016/j.ipl.2014.09.001</a>.
  short: B. Bérard, K. Chatterjee, N. Sznajder,  Information Processing Letters 115
    (2015) 52–59.
date_created: 2018-12-11T11:55:20Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T06:54:52Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.ipl.2014.09.001
ec_funded: 1
intvolume: '       115'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1407.4225
month: '01'
oa: 1
oa_version: Preprint
page: 52 - 59
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: ' Information Processing Letters'
publication_status: published
publisher: Elsevier
publist_id: '5025'
quality_controlled: '1'
scopus_import: 1
status: public
title: Probabilistic opacity for Markov decision processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 115
year: '2015'
...
---
_id: '523'
abstract:
- lang: eng
  text: We consider two-player games played on weighted directed graphs with mean-payoff
    and total-payoff objectives, two classical quantitative objectives. While for
    single-dimensional games the complexity and memory bounds for both objectives
    coincide, we show that in contrast to multi-dimensional mean-payoff games that
    are known to be coNP-complete, multi-dimensional total-payoff games are undecidable.
    We introduce conservative approximations of these objectives, where the payoff
    is considered over a local finite window sliding along a play, instead of the
    whole play. For single dimension, we show that (i) if the window size is polynomial,
    deciding the winner takes polynomial time, and (ii) the existence of a bounded
    window can be decided in NP ∩ coNP, and is at least as hard as solving mean-payoff
    games. For multiple dimensions, we show that (i) the problem with fixed window
    size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to
    decide the existence of a bounded window.
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: Mickael
  full_name: Randour, Mickael
  last_name: Randour
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: Chatterjee K, Doyen L, Randour M, Raskin J. Looking at mean-payoff and total-payoff
    through windows. <i>Information and Computation</i>. 2015;242(6):25-52. doi:<a
    href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>
  apa: Chatterjee, K., Doyen, L., Randour, M., &#38; Raskin, J. (2015). Looking at
    mean-payoff and total-payoff through windows. <i>Information and Computation</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Mickael Randour, and Jean Raskin.
    “Looking at Mean-Payoff and Total-Payoff through Windows.” <i>Information and
    Computation</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>.
  ieee: K. Chatterjee, L. Doyen, M. Randour, and J. Raskin, “Looking at mean-payoff
    and total-payoff through windows,” <i>Information and Computation</i>, vol. 242,
    no. 6. Elsevier, pp. 25–52, 2015.
  ista: Chatterjee K, Doyen L, Randour M, Raskin J. 2015. Looking at mean-payoff and
    total-payoff through windows. Information and Computation. 242(6), 25–52.
  mla: Chatterjee, Krishnendu, et al. “Looking at Mean-Payoff and Total-Payoff through
    Windows.” <i>Information and Computation</i>, vol. 242, no. 6, Elsevier, 2015,
    pp. 25–52, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>.
  short: K. Chatterjee, L. Doyen, M. Randour, J. Raskin, Information and Computation
    242 (2015) 25–52.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-03-24T00:00:00Z
date_updated: 2023-02-23T10:36:02Z
day: '24'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.010
ec_funded: 1
intvolume: '       242'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1302.4248
month: '03'
oa: 1
oa_version: Preprint
page: 25 - 52
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: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7296'
quality_controlled: '1'
related_material:
  record:
  - id: '2279'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Looking at mean-payoff and total-payoff through windows
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 242
year: '2015'
...
---
_id: '1481'
abstract:
- lang: eng
  text: 'Simple board games, like Tic-Tac-Toe and CONNECT-4, play an important role
    not only in the development of mathematical and logical skills, but also in the
    emotional and social development. In this paper, we address the problem of generating
    targeted starting positions for such games. This can facilitate new approaches
    for bringing novice players to mastery, and also leads to discovery of interesting
    game variants. We present an approach that generates starting states of varying
    hardness levels for player 1 in a two-player board game, given rules of the board
    game, the desired number of steps required for player 1 to win, and the expertise
    levels of the two players. Our approach leverages symbolic methods and iterative
    simulation to efficiently search the extremely large state space. We present experimental
    results that include discovery of states of varying hardness levels for several
    simple grid-based board games. The presence of such states for standard game variants
    like 4×4 Tic-Tac-Toe opens up new games to be played that have never been played
    as the default start state is heavily biased. '
acknowledgement: "A Technical Report of this paper is available at: \r\nhttps://repository.ist.ac.at/id/eprint/146.\r\n"
article_processing_charge: No
author:
- first_name: Umair
  full_name: Ahmed, Umair
  last_name: Ahmed
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Sumit
  full_name: Gulwani, Sumit
  last_name: Gulwani
citation:
  ama: 'Ahmed U, Chatterjee K, Gulwani S. Automatic generation of alternative starting
    positions for simple traditional board games. In: <i>Proceedings of the Twenty-Ninth
    AAAI Conference on Artificial Intelligence</i>. Vol 2. AAAI Press; 2015:745-752.'
  apa: 'Ahmed, U., Chatterjee, K., &#38; Gulwani, S. (2015). Automatic generation
    of alternative starting positions for simple traditional board games. In <i>Proceedings
    of the Twenty-Ninth AAAI Conference on Artificial Intelligence</i> (Vol. 2, pp.
    745–752). Austin, TX, USA: AAAI Press.'
  chicago: Ahmed, Umair, Krishnendu Chatterjee, and Sumit Gulwani. “Automatic Generation
    of Alternative Starting Positions for Simple Traditional Board Games.” In <i>Proceedings
    of the Twenty-Ninth AAAI Conference on Artificial Intelligence</i>, 2:745–52.
    AAAI Press, 2015.
  ieee: U. Ahmed, K. Chatterjee, and S. Gulwani, “Automatic generation of alternative
    starting positions for simple traditional board games,” in <i>Proceedings of the
    Twenty-Ninth AAAI Conference on Artificial Intelligence</i>, Austin, TX, USA,
    2015, vol. 2, pp. 745–752.
  ista: 'Ahmed U, Chatterjee K, Gulwani S. 2015. Automatic generation of alternative
    starting positions for simple traditional board games. Proceedings of the Twenty-Ninth
    AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial Intelligence
    vol. 2, 745–752.'
  mla: Ahmed, Umair, et al. “Automatic Generation of Alternative Starting Positions
    for Simple Traditional Board Games.” <i>Proceedings of the Twenty-Ninth AAAI Conference
    on Artificial Intelligence</i>, vol. 2, AAAI Press, 2015, pp. 745–52.
  short: U. Ahmed, K. Chatterjee, S. Gulwani, in:, Proceedings of the Twenty-Ninth
    AAAI Conference on Artificial Intelligence, AAAI Press, 2015, pp. 745–752.
conference:
  end_date: 2015-01-30
  location: Austin, TX, USA
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2015-01-25
date_created: 2018-12-11T11:52:16Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2023-02-23T12:25:07Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
intvolume: '         2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.aaai.org/ocs/index.php/AAAI/AAAI15/paper/download/9523/9300
month: '01'
oa: 1
oa_version: None
page: 745 - 752
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence
publication_status: published
publisher: AAAI Press
publist_id: '5713'
quality_controlled: '1'
related_material:
  record:
  - id: '5410'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Automatic generation of alternative starting positions for simple traditional
  board games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2015'
...
---
_id: '1501'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) which are a standard model for
    probabilistic systems. We focus on qualitative properties for MDPs that can express
    that desired behaviors of the system arise almost-surely (with probability 1)
    or with positive probability. We introduce a new simulation relation to capture
    the refinement relation of MDPs with respect to qualitative properties, and present
    discrete graph algorithms with quadratic complexity to compute the simulation
    relation. We present an automated technique for assume-guarantee style reasoning
    for compositional analysis of two-player games by giving a counterexample guided
    abstraction-refinement approach to compute our new simulation relation. We show
    a tight link between two-player games and MDPs, and as a consequence the results
    for games are lifted to MDPs with qualitative properties. We have implemented
    our algorithms and show that the compositional analysis leads to significant improvements. '
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
  Grant No. P23499- N23, FWF NFN Grant No. S11407-N23, FWF Grant S11403-N23 (RiSE),
  and FWF Grant Z211-N23 (Wittgenstein Award), ERC Start Grant (279307: Graph Games),
  Microsoft faculty fellows award, the ERC Advanced Grant QUAREM (Quantitative Reactive
  Modeling).'
author:
- 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: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Przemyslaw
  full_name: Daca, Przemyslaw
  id: 49351290-F248-11E8-B48F-1D18A9856A87
  last_name: Daca
citation:
  ama: Chatterjee K, Chmelik M, Daca P. CEGAR for compositional analysis of qualitative
    properties in Markov decision processes. <i>Formal Methods in System Design</i>.
    2015;47(2):230-264. doi:<a href="https://doi.org/10.1007/s10703-015-0235-2">10.1007/s10703-015-0235-2</a>
  apa: Chatterjee, K., Chmelik, M., &#38; Daca, P. (2015). CEGAR for compositional
    analysis of qualitative properties in Markov decision processes. <i>Formal Methods
    in System Design</i>. Springer. <a href="https://doi.org/10.1007/s10703-015-0235-2">https://doi.org/10.1007/s10703-015-0235-2</a>
  chicago: Chatterjee, Krishnendu, Martin Chmelik, and Przemyslaw Daca. “CEGAR for
    Compositional Analysis of Qualitative Properties in Markov Decision Processes.”
    <i>Formal Methods in System Design</i>. Springer, 2015. <a href="https://doi.org/10.1007/s10703-015-0235-2">https://doi.org/10.1007/s10703-015-0235-2</a>.
  ieee: K. Chatterjee, M. Chmelik, and P. Daca, “CEGAR for compositional analysis
    of qualitative properties in Markov decision processes,” <i>Formal Methods in
    System Design</i>, vol. 47, no. 2. Springer, pp. 230–264, 2015.
  ista: Chatterjee K, Chmelik M, Daca P. 2015. CEGAR for compositional analysis of
    qualitative properties in Markov decision processes. Formal Methods in System
    Design. 47(2), 230–264.
  mla: Chatterjee, Krishnendu, et al. “CEGAR for Compositional Analysis of Qualitative
    Properties in Markov Decision Processes.” <i>Formal Methods in System Design</i>,
    vol. 47, no. 2, Springer, 2015, pp. 230–64, doi:<a href="https://doi.org/10.1007/s10703-015-0235-2">10.1007/s10703-015-0235-2</a>.
  short: K. Chatterjee, M. Chmelik, P. Daca, Formal Methods in System Design 47 (2015)
    230–264.
date_created: 2018-12-11T11:52:23Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2023-09-07T11:58:33Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/s10703-015-0235-2
ec_funded: 1
intvolume: '        47'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1405.0835
month: '10'
oa: 1
oa_version: Preprint
page: 230 - 264
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
publication: Formal Methods in System Design
publication_status: published
publisher: Springer
publist_id: '5677'
quality_controlled: '1'
related_material:
  record:
  - id: '1155'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: CEGAR for compositional analysis of qualitative properties in Markov decision
  processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 47
year: '2015'
...
