---
_id: '1070'
abstract:
- lang: eng
  text: 'We present a logic that extends CTL (Computation Tree Logic) with operators
    that express synchronization properties. A property is synchronized in a system
    if it holds in all paths of a certain length. The new logic is obtained by using
    the same path quantifiers and temporal operators as in CTL, but allowing a different
    order of the quantifiers. This small syntactic variation induces a logic that
    can express non-regular properties for which known extensions of MSO with equality
    of path length are undecidable. We show that our variant of CTL is decidable and
    that the model-checking problem is in Delta_3^P = P^{NP^NP}, and is DP-hard. We
    analogously consider quantifier exchange in extensions of CTL, and we present
    operators defined using basic operators of CTL* that express the occurrence of
    infinitely many synchronization points. We show that the model-checking problem
    remains in Delta_3^P. The distinguishing power of CTL and of our new logic coincide
    if the Next operator is allowed in the logics, thus the classical bisimulation
    quotient can be used for state-space reduction before model checking. '
acknowledgement: "This research was partially supported by Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start grant (279307: Graph Games), Vienna
  Science and Technology Fund (WWTF) through project ICT15-003, and European project
  Cassting (FP7-601148).\r\n\r\nWe thank Stefan Göller and anonymous reviewers for
  their insightful\r\ncomments and suggestions.\r\n"
alternative_title:
- LIPIcs
article_number: '98'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Computation tree logic for synchronization properties.
    In: Vol 55. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik; 2016. doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2016.98">10.4230/LIPIcs.ICALP.2016.98</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2016). Computation tree logic for synchronization
    properties (Vol. 55). Presented at the ICALP: Automata, Languages and Programming,
    Rome, Italy: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2016.98">https://doi.org/10.4230/LIPIcs.ICALP.2016.98</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Computation Tree Logic for
    Synchronization Properties,” Vol. 55. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik,
    2016. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2016.98">https://doi.org/10.4230/LIPIcs.ICALP.2016.98</a>.
  ieee: 'K. Chatterjee and L. Doyen, “Computation tree logic for synchronization properties,”
    presented at the ICALP: Automata, Languages and Programming, Rome, Italy, 2016,
    vol. 55.'
  ista: 'Chatterjee K, Doyen L. 2016. Computation tree logic for synchronization properties.
    ICALP: Automata, Languages and Programming, LIPIcs, vol. 55, 98.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>Computation Tree Logic for Synchronization
    Properties</i>. Vol. 55, 98, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik,
    2016, doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2016.98">10.4230/LIPIcs.ICALP.2016.98</a>.
  short: K. Chatterjee, L. Doyen, in:, Schloss Dagstuhl- Leibniz-Zentrum fur Informatik,
    2016.
conference:
  end_date: 2016-07-15
  location: Rome, Italy
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2016-07-12
date_created: 2018-12-11T11:49:59Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T06:48:03Z
day: '01'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.ICALP.2016.98
ec_funded: 1
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:08:52Z
  date_updated: 2018-12-12T10:08:52Z
  file_id: '4714'
  file_name: IST-2017-812-v1+1_LIPIcs-ICALP-2016-98.pdf
  file_size: 546133
  relation: main_file
file_date_updated: 2018-12-12T10:08:52Z
has_accepted_license: '1'
intvolume: '        55'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik
publist_id: '6313'
pubrep_id: '812'
quality_controlled: '1'
scopus_import: 1
status: public
title: Computation tree logic for synchronization properties
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2016'
...
---
_id: '1071'
abstract:
- lang: eng
  text: 'We consider data-structures for answering reachability and distance queries
    on constant-treewidth graphs with n nodes, on the standard RAM computational model
    with wordsize W=Theta(log n). Our first contribution is a data-structure that
    after O(n) preprocessing time, allows (1) pair reachability queries in O(1) time;
    and (2) single-source reachability queries in O(n/log n) time. This is (asymptotically)
    optimal and is faster than DFS/BFS when answering more than a constant number
    of single-source queries. The data-structure uses at all times O(n) space. Our
    second contribution is a space-time tradeoff data-structure for distance queries.
    For any epsilon in [1/2,1], we provide a data-structure with polynomial preprocessing
    time that allows pair queries in O(n^{1-\epsilon} alpha(n)) time, where alpha
    is the inverse of the Ackermann function, and at all times uses O(n^epsilon) space.
    The input graph G is not considered in the space complexity. '
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
  Grant No P23499-N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE) and ERC Start grant
  (279307: Graph Games).'
alternative_title:
- LIPIcs
article_number: '28'
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. Optimal reachability and a space
    time tradeoff for distance queries in constant treewidth graphs. In: Vol 57. Schloss
    Dagstuhl- Leibniz-Zentrum fur Informatik; 2016. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2016.28">10.4230/LIPIcs.ESA.2016.28</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2016). Optimal reachability
    and a space time tradeoff for distance queries in constant treewidth graphs (Vol.
    57). Presented at the ESA: European Symposium on Algorithms, Aarhus, Denmark:
    Schloss Dagstuhl- Leibniz-Zentrum fur Informatik. <a href="https://doi.org/10.4230/LIPIcs.ESA.2016.28">https://doi.org/10.4230/LIPIcs.ESA.2016.28</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
    “Optimal Reachability and a Space Time Tradeoff for Distance Queries in Constant
    Treewidth Graphs,” Vol. 57. Schloss Dagstuhl- Leibniz-Zentrum fur Informatik,
    2016. <a href="https://doi.org/10.4230/LIPIcs.ESA.2016.28">https://doi.org/10.4230/LIPIcs.ESA.2016.28</a>.
  ieee: 'K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal reachability
    and a space time tradeoff for distance queries in constant treewidth graphs,”
    presented at the ESA: European Symposium on Algorithms, Aarhus, Denmark, 2016,
    vol. 57.'
  ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2016. Optimal reachability
    and a space time tradeoff for distance queries in constant treewidth graphs. ESA:
    European Symposium on Algorithms, LIPIcs, vol. 57, 28.'
  mla: Chatterjee, Krishnendu, et al. <i>Optimal Reachability and a Space Time Tradeoff
    for Distance Queries in Constant Treewidth Graphs</i>. Vol. 57, 28, Schloss Dagstuhl-
    Leibniz-Zentrum fur Informatik, 2016, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2016.28">10.4230/LIPIcs.ESA.2016.28</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, Schloss Dagstuhl- Leibniz-Zentrum
    fur Informatik, 2016.
conference:
  end_date: 2016-08-24
  location: Aarhus, Denmark
  name: 'ESA: European Symposium on Algorithms'
  start_date: 2016-08-22
date_created: 2018-12-11T11:49:59Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2023-09-07T12:01:58Z
day: '01'
ddc:
- '004'
- '006'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.ESA.2016.28
ec_funded: 1
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:31Z
  date_updated: 2018-12-12T10:14:31Z
  file_id: '5084'
  file_name: IST-2017-777-v1+1_LIPIcs-ESA-2016-28.pdf
  file_size: 579225
  relation: main_file
file_date_updated: 2018-12-12T10:14:31Z
has_accepted_license: '1'
intvolume: '        57'
language:
- iso: eng
month: '08'
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'
publication_status: published
publisher: Schloss Dagstuhl- Leibniz-Zentrum fur Informatik
publist_id: '6312'
pubrep_id: '777'
quality_controlled: '1'
related_material:
  record:
  - id: '821'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: Optimal reachability and a space time tradeoff for distance queries in constant
  treewidth graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2016'
...
---
_id: '9867'
abstract:
- lang: eng
  text: In the beginning of our experiment, subjects were asked to read a few pages
    on their computer screens that would explain the rules of the subsequent game.
    Here, we provide these instructions, translated from German.
article_processing_charge: No
author:
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Kristin
  full_name: Hagel, Kristin
  last_name: Hagel
- first_name: Manfred
  full_name: Milinski, Manfred
  last_name: Milinski
citation:
  ama: Hilbe C, Hagel K, Milinski M. Experimental game instructions. 2016. doi:<a
    href="https://doi.org/10.1371/journal.pone.0163867.s008">10.1371/journal.pone.0163867.s008</a>
  apa: Hilbe, C., Hagel, K., &#38; Milinski, M. (2016). Experimental game instructions.
    Public Library of Science. <a href="https://doi.org/10.1371/journal.pone.0163867.s008">https://doi.org/10.1371/journal.pone.0163867.s008</a>
  chicago: Hilbe, Christian, Kristin Hagel, and Manfred Milinski. “Experimental Game
    Instructions.” Public Library of Science, 2016. <a href="https://doi.org/10.1371/journal.pone.0163867.s008">https://doi.org/10.1371/journal.pone.0163867.s008</a>.
  ieee: C. Hilbe, K. Hagel, and M. Milinski, “Experimental game instructions.” Public
    Library of Science, 2016.
  ista: Hilbe C, Hagel K, Milinski M. 2016. Experimental game instructions, Public
    Library of Science, <a href="https://doi.org/10.1371/journal.pone.0163867.s008">10.1371/journal.pone.0163867.s008</a>.
  mla: Hilbe, Christian, et al. <i>Experimental Game Instructions</i>. Public Library
    of Science, 2016, doi:<a href="https://doi.org/10.1371/journal.pone.0163867.s008">10.1371/journal.pone.0163867.s008</a>.
  short: C. Hilbe, K. Hagel, M. Milinski, (2016).
date_created: 2021-08-10T08:42:00Z
date_updated: 2023-02-21T16:59:01Z
day: '04'
department:
- _id: KrCh
doi: 10.1371/journal.pone.0163867.s008
month: '10'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '1322'
    relation: used_in_publication
    status: public
status: public
title: Experimental game instructions
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2016'
...
---
_id: '9868'
abstract:
- lang: eng
  text: The raw data file containing the experimental decisions of all our study subjects.
article_processing_charge: No
author:
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Kristin
  full_name: Hagel, Kristin
  last_name: Hagel
- first_name: Manfred
  full_name: Milinski, Manfred
  last_name: Milinski
citation:
  ama: Hilbe C, Hagel K, Milinski M. Experimental data. 2016. doi:<a href="https://doi.org/10.1371/journal.pone.0163867.s009">10.1371/journal.pone.0163867.s009</a>
  apa: Hilbe, C., Hagel, K., &#38; Milinski, M. (2016). Experimental data. Public
    Library of Science. <a href="https://doi.org/10.1371/journal.pone.0163867.s009">https://doi.org/10.1371/journal.pone.0163867.s009</a>
  chicago: Hilbe, Christian, Kristin Hagel, and Manfred Milinski. “Experimental Data.”
    Public Library of Science, 2016. <a href="https://doi.org/10.1371/journal.pone.0163867.s009">https://doi.org/10.1371/journal.pone.0163867.s009</a>.
  ieee: C. Hilbe, K. Hagel, and M. Milinski, “Experimental data.” Public Library of
    Science, 2016.
  ista: Hilbe C, Hagel K, Milinski M. 2016. Experimental data, Public Library of Science,
    <a href="https://doi.org/10.1371/journal.pone.0163867.s009">10.1371/journal.pone.0163867.s009</a>.
  mla: Hilbe, Christian, et al. <i>Experimental Data</i>. Public Library of Science,
    2016, doi:<a href="https://doi.org/10.1371/journal.pone.0163867.s009">10.1371/journal.pone.0163867.s009</a>.
  short: C. Hilbe, K. Hagel, M. Milinski, (2016).
date_created: 2021-08-10T08:45:00Z
date_published: 2016-10-04T00:00:00Z
date_updated: 2023-02-21T16:59:01Z
day: '04'
department:
- _id: KrCh
doi: 10.1371/journal.pone.0163867.s009
month: '10'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '1322'
    relation: used_in_publication
    status: public
status: public
title: Experimental data
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2016'
...
---
_id: '1090'
abstract:
- lang: eng
  text: ' While weighted automata provide a natural framework to express quantitative
    properties, many basic properties like average response time cannot be expressed
    with weighted automata. Nested weighted automata extend weighted automata and
    consist of a master automaton and a set of slave automata that are invoked by
    the master automaton. Nested weighted automata are strictly more expressive than
    weighted automata (e.g., average response time can be expressed with nested weighted
    automata), but the basic decision questions have higher complexity (e.g., for
    deterministic automata, the emptiness question for nested weighted automata is
    PSPACE-hard, whereas the corresponding complexity for weighted automata is PTIME).
    We consider a natural subclass of nested weighted automata where at any point
    at most a bounded number k of slave automata can be active. We focus on automata
    whose master value function is the limit average. We show that these nested weighted
    automata with bounded width are strictly more expressive than weighted automata
    (e.g., average response time with no overlapping requests can be expressed with
    bound k=1, but not with non-nested weighted automata). We show that the complexity
    of the basic decision problems (i.e., emptiness and universality) for the subclass
    with k constant matches the complexity for weighted automata. Moreover, when k
    is part of the input given in unary we establish PSPACE-completeness.'
acknowledgement: "This research was supported in part by the Austrian Science Fund
  (FWF) under grants S11402-N23\r\n(RiSE/SHiNE) and Z211-N23 (Wittgenstein Award),
  ERC Start grant (279307: Graph Games), Vienna\r\nScience and Technology Fund (WWTF)
  through project ICT15-003 and by the National Science Centre\r\n(NCN), Poland under
  grant 2014/15/D/ST6/04543."
alternative_title:
- LIPIcs
article_number: '24'
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 limit-average automata
    of bounded width. In: Vol 58. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2016. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2016.24">10.4230/LIPIcs.MFCS.2016.24</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2016). Nested weighted limit-average
    automata of bounded width (Vol. 58). Presented at the MFCS: Mathematical Foundations
    of Computer Science (SG), Krakow; Poland: Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2016.24">https://doi.org/10.4230/LIPIcs.MFCS.2016.24</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted
    Limit-Average Automata of Bounded Width,” Vol. 58. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2016. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2016.24">https://doi.org/10.4230/LIPIcs.MFCS.2016.24</a>.
  ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted limit-average
    automata of bounded width,” presented at the MFCS: Mathematical Foundations of
    Computer Science (SG), Krakow; Poland, 2016, vol. 58.'
  ista: 'Chatterjee K, Henzinger TA, Otop J. 2016. Nested weighted limit-average automata
    of bounded width. MFCS: Mathematical Foundations of Computer Science (SG), LIPIcs,
    vol. 58, 24.'
  mla: Chatterjee, Krishnendu, et al. <i>Nested Weighted Limit-Average Automata of
    Bounded Width</i>. Vol. 58, 24, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2016, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2016.24">10.4230/LIPIcs.MFCS.2016.24</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2016.
conference:
  end_date: 2016-08-26
  location: Krakow; Poland
  name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
  start_date: 2016-08-22
date_created: 2018-12-11T11:50:05Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2021-01-12T06:48:12Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.MFCS.2016.24
ec_funded: 1
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:31Z
  date_updated: 2018-12-12T10:17:31Z
  file_id: '5286'
  file_name: IST-2017-795-v1+1_LIPIcs-MFCS-2016-24.pdf
  file_size: 564560
  relation: main_file
file_date_updated: 2018-12-12T10:17:31Z
has_accepted_license: '1'
intvolume: '        58'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6286'
pubrep_id: '795'
quality_controlled: '1'
scopus_import: 1
status: public
title: Nested weighted limit-average automata of bounded width
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2016'
...
---
_id: '1093'
abstract:
- lang: eng
  text: 'We introduce a general class of distances (metrics) between Markov chains,
    which are based on linear behaviour. This class encompasses distances given topologically
    (such as the total variation distance or trace distance) as well as by temporal
    logics or automata. We investigate which of the distances can be approximated
    by observing the systems, i.e. by black-box testing or simulation, and we provide
    both negative and positive results. '
acknowledgement: "This research was funded in part by the European Research Council
  (ERC) under grant agreement 267989\r\n(QUAREM), the Austrian Science Fund (FWF)
  under grants project S11402-N23 (RiSE and SHiNE)\r\nand Z211-N23 (Wittgenstein Award),
  by the Czech Science Foundation Grant No. P202/12/G061, and\r\nby the SNSF Advanced
  Postdoc. Mobility Fellowship – grant number P300P2_161067."
alternative_title:
- LIPIcs
article_number: '20'
author:
- first_name: Przemyslaw
  full_name: Daca, Przemyslaw
  id: 49351290-F248-11E8-B48F-1D18A9856A87
  last_name: Daca
- 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: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Tatjana
  full_name: Petrov, Tatjana
  id: 3D5811FC-F248-11E8-B48F-1D18A9856A87
  last_name: Petrov
  orcid: 0000-0002-9041-0905
citation:
  ama: 'Daca P, Henzinger TA, Kretinsky J, Petrov T. Linear distances between Markov
    chains. In: Vol 59. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2016. doi:<a
    href="https://doi.org/10.4230/LIPIcs.CONCUR.2016.20">10.4230/LIPIcs.CONCUR.2016.20</a>'
  apa: 'Daca, P., Henzinger, T. A., Kretinsky, J., &#38; Petrov, T. (2016). Linear
    distances between Markov chains (Vol. 59). Presented at the CONCUR: Concurrency
    Theory, Quebec City; Canada: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2016.20">https://doi.org/10.4230/LIPIcs.CONCUR.2016.20</a>'
  chicago: Daca, Przemyslaw, Thomas A Henzinger, Jan Kretinsky, and Tatjana Petrov.
    “Linear Distances between Markov Chains,” Vol. 59. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2016. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2016.20">https://doi.org/10.4230/LIPIcs.CONCUR.2016.20</a>.
  ieee: 'P. Daca, T. A. Henzinger, J. Kretinsky, and T. Petrov, “Linear distances
    between Markov chains,” presented at the CONCUR: Concurrency Theory, Quebec City;
    Canada, 2016, vol. 59.'
  ista: 'Daca P, Henzinger TA, Kretinsky J, Petrov T. 2016. Linear distances between
    Markov chains. CONCUR: Concurrency Theory, LIPIcs, vol. 59, 20.'
  mla: Daca, Przemyslaw, et al. <i>Linear Distances between Markov Chains</i>. Vol.
    59, 20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2016.20">10.4230/LIPIcs.CONCUR.2016.20</a>.
  short: P. Daca, T.A. Henzinger, J. Kretinsky, T. Petrov, in:, Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik, 2016.
conference:
  end_date: 2016-08-26
  location: Quebec City; Canada
  name: 'CONCUR: Concurrency Theory'
  start_date: 2016-08-23
date_created: 2018-12-11T11:50:06Z
date_published: 2016-08-01T00:00:00Z
date_updated: 2023-09-07T11:58:33Z
day: '01'
ddc:
- '004'
department:
- _id: ToHe
- _id: KrCh
- _id: CaGu
doi: 10.4230/LIPIcs.CONCUR.2016.20
ec_funded: 1
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:39Z
  date_updated: 2018-12-12T10:11:39Z
  file_id: '4895'
  file_name: IST-2017-794-v1+1_LIPIcs-CONCUR-2016-20.pdf
  file_size: 501827
  relation: main_file
file_date_updated: 2018-12-12T10:11:39Z
has_accepted_license: '1'
intvolume: '        59'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
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
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6283'
pubrep_id: '794'
quality_controlled: '1'
related_material:
  record:
  - id: '1155'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: Linear distances between Markov chains
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 59
year: '2016'
...
---
_id: '1138'
abstract:
- lang: eng
  text: Automata with monitor counters, where the transitions do not depend on counter
    values, and nested weighted automata are two expressive automata-theoretic frameworks
    for quantitative properties. For a well-studied and wide class of quantitative
    functions, we establish that automata with monitor counters and nested weighted
    automata are equivalent. We study for the first time such quantitative automata
    under probabilistic semantics. We show that several problems that are undecidable
    for the classical questions of emptiness and universality become decidable under
    the probabilistic semantics. We present a complete picture of decidability for
    such automata, and even an almost-complete picture of computational complexity,
    for the probabilistic questions we consider. © 2016 ACM.
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) and Z211-N23 (Wittgenstein Award), FWF Grant No P23499-
  N23, FWF NFN Grant No S114
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. Quantitative automata under probabilistic
    semantics. In: <i>Proceedings of the 31st Annual ACM/IEEE Symposium</i>. IEEE;
    2016:76-85. doi:<a href="https://doi.org/10.1145/2933575.2933588">10.1145/2933575.2933588</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2016). Quantitative automata
    under probabilistic semantics. In <i>Proceedings of the 31st Annual ACM/IEEE Symposium</i>
    (pp. 76–85). New York, NY, USA: IEEE. <a href="https://doi.org/10.1145/2933575.2933588">https://doi.org/10.1145/2933575.2933588</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Quantitative
    Automata under Probabilistic Semantics.” In <i>Proceedings of the 31st Annual
    ACM/IEEE Symposium</i>, 76–85. IEEE, 2016. <a href="https://doi.org/10.1145/2933575.2933588">https://doi.org/10.1145/2933575.2933588</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Quantitative automata under
    probabilistic semantics,” in <i>Proceedings of the 31st Annual ACM/IEEE Symposium</i>,
    New York, NY, USA, 2016, pp. 76–85.
  ista: 'Chatterjee K, Henzinger TA, Otop J. 2016. Quantitative automata under probabilistic
    semantics. Proceedings of the 31st Annual ACM/IEEE Symposium. LICS: Logic in Computer
    Science, 76–85.'
  mla: Chatterjee, Krishnendu, et al. “Quantitative Automata under Probabilistic Semantics.”
    <i>Proceedings of the 31st Annual ACM/IEEE Symposium</i>, IEEE, 2016, pp. 76–85,
    doi:<a href="https://doi.org/10.1145/2933575.2933588">10.1145/2933575.2933588</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Proceedings of the 31st Annual
    ACM/IEEE Symposium, IEEE, 2016, pp. 76–85.
conference:
  end_date: 2016-07-08
  location: New York, NY, USA
  name: 'LICS: Logic in Computer Science'
  start_date: 2016-07-05
date_created: 2018-12-11T11:50:21Z
date_published: 2016-07-05T00:00:00Z
date_updated: 2021-01-12T06:48:34Z
day: '05'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/2933575.2933588
ec_funded: 1
external_id:
  arxiv:
  - '1604.06764'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1604.06764
month: '07'
oa: 1
oa_version: Preprint
page: 76 - 85
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: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 31st Annual ACM/IEEE Symposium
publication_status: published
publisher: IEEE
publist_id: '6220'
quality_controlled: '1'
scopus_import: 1
status: public
title: Quantitative automata under probabilistic semantics
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '1140'
abstract:
- lang: eng
  text: 'Given a model of a system and an objective, the model-checking question asks
    whether the model satisfies the objective. We study polynomial-time problems in
    two classical models, graphs and Markov Decision Processes (MDPs), with respect
    to several fundamental -regular objectives, e.g., Rabin and Streett objectives.
    For many of these problems the best-known upper bounds are quadratic or cubic,
    yet no super-linear lower bounds are known. In this work our contributions are
    two-fold: First, we present several improved algorithms, and second, we present
    the first conditional super-linear lower bounds based on widely believed assumptions
    about the complexity of CNF-SAT and combinatorial Boolean matrix multiplication.
    A separation result for two models with respect to an objective means a conditional
    lower bound for one model that is strictly higher than the existing upper bound
    for the other model, and similarly for two objectives with respect to a model.
    Our results establish the following separation results: (1) A separation of models
    (graphs and MDPs) for disjunctive queries of reachability and Büchi objectives.
    (2) Two kinds of separations of objectives, both for graphs and MDPs, namely,
    (2a) the separation of dual objectives such as Streett/Rabin objectives, and (2b)
    the separation of conjunction and disjunction of multiple objectives of the same
    type such as safety, Büchi, and coBüchi. In summary, our results establish the
    first model and objective separation results for graphs and MDPs for various classical
    -regular objectives. Quite strikingly, we establish conditional lower bounds for
    the disjunction of objectives that are strictly higher than the existing upper
    bounds for the conjunction of the same objectives. © 2016 ACM.'
acknowledgement: "K.  C.,  M.  H.,  and  W.  D.  are  partially  supported  by  the
  \ Vienna\r\nScience and Technology Fund (WWTF) through project ICT15-003.\r\nK.
  C. is partially supported by the Austrian Science Fund (FWF)\r\nNFN Grant No S11407-N23
  (RiSE/SHiNE) and an ERC Start grant\r\n(279307: Graph Games). For W. D., M. H.,
  and V. L. the research\r\nleading to these results has received funding from the
  European\r\nResearch Council under the European Union’s Seventh Framework\r\nProgramme
  (FP/2007-2013) / ERC Grant Agreement no. 340506."
alternative_title:
- Proceedings Symposium on Logic in Computer Science
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: Wolfgang
  full_name: Dvoák, Wolfgang
  last_name: Dvoák
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Veronika
  full_name: Loitzenbauer, Veronika
  last_name: Loitzenbauer
citation:
  ama: 'Chatterjee K, Dvoák W, Henzinger MH, Loitzenbauer V. Model and objective separation
    with conditional lower bounds: disjunction is harder than conjunction. In: <i>Proceedings
    of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science</i>. IEEE;
    2016:197-206. doi:<a href="https://doi.org/10.1145/2933575.2935304">10.1145/2933575.2935304</a>'
  apa: 'Chatterjee, K., Dvoák, W., Henzinger, M. H., &#38; Loitzenbauer, V. (2016).
    Model and objective separation with conditional lower bounds: disjunction is harder
    than conjunction. In <i>Proceedings of the 31st Annual ACM/IEEE Symposium on Logic
    in Computer Science</i> (pp. 197–206). New York, NY, USA: IEEE. <a href="https://doi.org/10.1145/2933575.2935304">https://doi.org/10.1145/2933575.2935304</a>'
  chicago: 'Chatterjee, Krishnendu, Wolfgang Dvoák, Monika H Henzinger, and Veronika
    Loitzenbauer. “Model and Objective Separation with Conditional Lower Bounds: Disjunction
    Is Harder than Conjunction.” In <i>Proceedings of the 31st Annual ACM/IEEE Symposium
    on Logic in Computer Science</i>, 197–206. IEEE, 2016. <a href="https://doi.org/10.1145/2933575.2935304">https://doi.org/10.1145/2933575.2935304</a>.'
  ieee: 'K. Chatterjee, W. Dvoák, M. H. Henzinger, and V. Loitzenbauer, “Model and
    objective separation with conditional lower bounds: disjunction is harder than
    conjunction,” in <i>Proceedings of the 31st Annual ACM/IEEE Symposium on Logic
    in Computer Science</i>, New York, NY, USA, 2016, pp. 197–206.'
  ista: 'Chatterjee K, Dvoák W, Henzinger MH, Loitzenbauer V. 2016. Model and objective
    separation with conditional lower bounds: disjunction is harder than conjunction.
    Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science.
    LICS: Logic in Computer Science, Proceedings Symposium on Logic in Computer Science,
    , 197–206.'
  mla: 'Chatterjee, Krishnendu, et al. “Model and Objective Separation with Conditional
    Lower Bounds: Disjunction Is Harder than Conjunction.” <i>Proceedings of the 31st
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, IEEE, 2016, pp. 197–206,
    doi:<a href="https://doi.org/10.1145/2933575.2935304">10.1145/2933575.2935304</a>.'
  short: K. Chatterjee, W. Dvoák, M.H. Henzinger, V. Loitzenbauer, in:, Proceedings
    of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, IEEE, 2016,
    pp. 197–206.
conference:
  end_date: 2016-07-08
  location: New York, NY, USA
  name: 'LICS: Logic in Computer Science'
  start_date: 2016-07-05
date_created: 2018-12-11T11:50:22Z
date_published: 2016-07-05T00:00:00Z
date_updated: 2025-06-02T08:53:44Z
day: '05'
department:
- _id: KrCh
doi: 10.1145/2933575.2935304
external_id:
  arxiv:
  - '1602.02670'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1602.02670
month: '07'
oa: 1
oa_version: Preprint
page: 197 - 206
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_status: published
publisher: IEEE
publist_id: '6219'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Model and objective separation with conditional lower bounds: disjunction
  is harder than conjunction'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '1166'
abstract:
- lang: eng
  text: POMDPs are standard models for probabilistic planning problems, where an agent
    interacts with an uncertain environment. We study the problem of almost-sure reachability,
    where given a set of target states, the question is to decide whether there is
    a policy to ensure that the target set is reached with probability 1 (almost-surely).
    While in general the problem is EXPTIMEcomplete, in many practical cases policies
    with a small amount of memory suffice. Moreover, the existing solution to the
    problem is explicit, which first requires to construct explicitly an exponential
    reduction to a belief-support MDP. In this work, we first study the existence
    of observation-stationary strategies, which is NP-complete, and then small-memory
    strategies. We present a symbolic algorithm by an efficient encoding to SAT and
    using a SAT solver for the problem. We report experimental results demonstrating
    the scalability of our symbolic (SAT-based) approach. © 2016, Association for
    the Advancement of Artificial Intelligence (www.aaai.org). All rights reserved.
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: Jessica
  full_name: Davies, Jessica
  id: 378E0060-F248-11E8-B48F-1D18A9856A87
  last_name: Davies
citation:
  ama: 'Chatterjee K, Chmelik M, Davies J. A symbolic SAT based algorithm for almost
    sure reachability with small strategies in pomdps. In: <i>Proceedings of the Thirtieth
    AAAI Conference on Artificial Intelligence</i>. Vol 2016. AAAI Press; 2016:3225-3232.'
  apa: 'Chatterjee, K., Chmelik, M., &#38; Davies, J. (2016). A symbolic SAT based
    algorithm for almost sure reachability with small strategies in pomdps. In <i>Proceedings
    of the Thirtieth AAAI Conference on Artificial Intelligence</i> (Vol. 2016, pp.
    3225–3232). Phoenix, AZ, USA: AAAI Press.'
  chicago: Chatterjee, Krishnendu, Martin Chmelik, and Jessica Davies. “A Symbolic
    SAT Based Algorithm for Almost Sure Reachability with Small Strategies in Pomdps.”
    In <i>Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence</i>,
    2016:3225–32. AAAI Press, 2016.
  ieee: K. Chatterjee, M. Chmelik, and J. Davies, “A symbolic SAT based algorithm
    for almost sure reachability with small strategies in pomdps,” in <i>Proceedings
    of the Thirtieth AAAI Conference on Artificial Intelligence</i>, Phoenix, AZ,
    USA, 2016, vol. 2016, pp. 3225–3232.
  ista: 'Chatterjee K, Chmelik M, Davies J. 2016. A symbolic SAT based algorithm for
    almost sure reachability with small strategies in pomdps. Proceedings of the Thirtieth
    AAAI Conference on Artificial Intelligence. AAAI: Conference on Artificial Intelligence
    vol. 2016, 3225–3232.'
  mla: Chatterjee, Krishnendu, et al. “A Symbolic SAT Based Algorithm for Almost Sure
    Reachability with Small Strategies in Pomdps.” <i>Proceedings of the Thirtieth
    AAAI Conference on Artificial Intelligence</i>, vol. 2016, AAAI Press, 2016, pp.
    3225–32.
  short: K. Chatterjee, M. Chmelik, J. Davies, in:, Proceedings of the Thirtieth AAAI
    Conference on Artificial Intelligence, AAAI Press, 2016, pp. 3225–3232.
conference:
  end_date: 2016-02-17
  location: Phoenix, AZ, USA
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2016-02-12
date_created: 2018-12-11T11:50:30Z
date_published: 2016-12-02T00:00:00Z
date_updated: 2023-02-23T12:26:41Z
day: '02'
department:
- _id: KrCh
- _id: ToHe
ec_funded: 1
intvolume: '      2016'
language:
- iso: eng
month: '12'
oa_version: None
page: 3225 - 3232
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'
publication: Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence
publication_status: published
publisher: AAAI Press
publist_id: '6191'
quality_controlled: '1'
related_material:
  link:
  - relation: table_of_contents
    url: https://dl.acm.org/citation.cfm?id=3016355
  record:
  - id: '5443'
    relation: earlier_version
    status: public
status: public
title: A symbolic SAT based algorithm for almost sure reachability with small strategies
  in pomdps
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 2016
year: '2016'
...
---
_id: '1182'
abstract:
- lang: eng
  text: 'Balanced knockout tournaments are ubiquitous in sports competitions and are
    also used in decisionmaking and elections. The traditional computational question,
    that asks to compute a draw (optimal draw) that maximizes the winning probability
    for a distinguished player, has received a lot of attention. Previous works consider
    the problem where the pairwise winning probabilities are known precisely, while
    we study how robust is the winning probability with respect to small errors in
    the pairwise winning probabilities. First, we present several illuminating examples
    to establish: (a) there exist deterministic tournaments (where the pairwise winning
    probabilities are 0 or 1) where one optimal draw is much more robust than the
    other; and (b) in general, there exist tournaments with slightly suboptimal draws
    that are more robust than all the optimal draws. The above examples motivate the
    study of the computational problem of robust draws that guarantee a specified
    winning probability. Second, we present a polynomial-time algorithm for approximating
    the robustness of a draw for sufficiently small errors in pairwise winning probabilities,
    and obtain that the stated computational problem is NP-complete. We also show
    that two natural cases of deterministic tournaments where the optimal draw could
    be computed in polynomial time also admit polynomial-time algorithms to compute
    robust optimal draws.'
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: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Tkadlec J. Robust draws in balanced knockout
    tournaments. In: Vol 2016-January. AAAI Press; 2016:172-179.'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., &#38; Tkadlec, J. (2016). Robust draws in
    balanced knockout tournaments (Vol. 2016–January, pp. 172–179). Presented at the
    IJCAI: International Joint Conference on Artificial Intelligence, New York, NY,
    USA: AAAI Press.'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Josef Tkadlec. “Robust
    Draws in Balanced Knockout Tournaments,” 2016–January:172–79. AAAI Press, 2016.
  ieee: 'K. Chatterjee, R. Ibsen-Jensen, and J. Tkadlec, “Robust draws in balanced
    knockout tournaments,” presented at the IJCAI: International Joint Conference
    on Artificial Intelligence, New York, NY, USA, 2016, vol. 2016–January, pp. 172–179.'
  ista: 'Chatterjee K, Ibsen-Jensen R, Tkadlec J. 2016. Robust draws in balanced knockout
    tournaments. IJCAI: International Joint Conference on Artificial Intelligence
    vol. 2016–January, 172–179.'
  mla: Chatterjee, Krishnendu, et al. <i>Robust Draws in Balanced Knockout Tournaments</i>.
    Vol. 2016–January, AAAI Press, 2016, pp. 172–79.
  short: K. Chatterjee, R. Ibsen-Jensen, J. Tkadlec, in:, AAAI Press, 2016, pp. 172–179.
conference:
  end_date: 2016-07-15
  location: New York, NY, USA
  name: 'IJCAI: International Joint Conference on Artificial Intelligence'
  start_date: 2016-07-09
date_created: 2018-12-11T11:50:35Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2023-02-21T10:04:26Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1604.05090v1
month: '01'
oa: 1
oa_version: Preprint
page: 172 - 179
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
publication_status: published
publisher: AAAI Press
publist_id: '6171'
quality_controlled: '1'
related_material:
  link:
  - relation: table_of_contents
    url: https://www.ijcai.org/proceedings/2016
scopus_import: 1
status: public
title: Robust draws in balanced knockout tournaments
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2016-January
year: '2016'
...
---
_id: '1200'
acknowledgement: C.H. acknowledges generous support from the ISTFELLOW program.
author:
- first_name: Christian
  full_name: Hilbe, Christian
  id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
  last_name: Hilbe
  orcid: 0000-0001-5116-955X
- first_name: Arne
  full_name: Traulsen, Arne
  last_name: Traulsen
citation:
  ama: 'Hilbe C, Traulsen A. Only the combination of mathematics and agent based simulations
    can leverage the full potential of evolutionary modeling: Comment on “Evolutionary
    game theory using agent-based methods” by C. Adami, J. Schossau and A. Hintze.
    <i>Physics of Life Reviews</i>. 2016;19:29-31. doi:<a href="https://doi.org/10.1016/j.plrev.2016.10.004">10.1016/j.plrev.2016.10.004</a>'
  apa: 'Hilbe, C., &#38; Traulsen, A. (2016). Only the combination of mathematics
    and agent based simulations can leverage the full potential of evolutionary modeling:
    Comment on “Evolutionary game theory using agent-based methods” by C. Adami, J.
    Schossau and A. Hintze. <i>Physics of Life Reviews</i>. Elsevier. <a href="https://doi.org/10.1016/j.plrev.2016.10.004">https://doi.org/10.1016/j.plrev.2016.10.004</a>'
  chicago: 'Hilbe, Christian, and Arne Traulsen. “Only the Combination of Mathematics
    and Agent Based Simulations Can Leverage the Full Potential of Evolutionary Modeling:
    Comment on ‘Evolutionary Game Theory Using Agent-Based Methods’ by C. Adami, J.
    Schossau and A. Hintze.” <i>Physics of Life Reviews</i>. Elsevier, 2016. <a href="https://doi.org/10.1016/j.plrev.2016.10.004">https://doi.org/10.1016/j.plrev.2016.10.004</a>.'
  ieee: 'C. Hilbe and A. Traulsen, “Only the combination of mathematics and agent
    based simulations can leverage the full potential of evolutionary modeling: Comment
    on ‘Evolutionary game theory using agent-based methods’ by C. Adami, J. Schossau
    and A. Hintze,” <i>Physics of Life Reviews</i>, vol. 19. Elsevier, pp. 29–31,
    2016.'
  ista: 'Hilbe C, Traulsen A. 2016. Only the combination of mathematics and agent
    based simulations can leverage the full potential of evolutionary modeling: Comment
    on “Evolutionary game theory using agent-based methods” by C. Adami, J. Schossau
    and A. Hintze. Physics of Life Reviews. 19, 29–31.'
  mla: 'Hilbe, Christian, and Arne Traulsen. “Only the Combination of Mathematics
    and Agent Based Simulations Can Leverage the Full Potential of Evolutionary Modeling:
    Comment on ‘Evolutionary Game Theory Using Agent-Based Methods’ by C. Adami, J.
    Schossau and A. Hintze.” <i>Physics of Life Reviews</i>, vol. 19, Elsevier, 2016,
    pp. 29–31, doi:<a href="https://doi.org/10.1016/j.plrev.2016.10.004">10.1016/j.plrev.2016.10.004</a>.'
  short: C. Hilbe, A. Traulsen, Physics of Life Reviews 19 (2016) 29–31.
date_created: 2018-12-11T11:50:40Z
date_published: 2016-12-01T00:00:00Z
date_updated: 2021-01-12T06:49:03Z
day: '01'
ddc:
- '530'
department:
- _id: KrCh
doi: 10.1016/j.plrev.2016.10.004
ec_funded: 1
file:
- access_level: open_access
  checksum: 95e6dc78278334b99dacbf8822509364
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:02Z
  date_updated: 2020-07-14T12:44:39Z
  file_id: '4855'
  file_name: IST-2017-798-v1+1_comment_adami.pdf
  file_size: 171352
  relation: main_file
file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: '        19'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
page: 29 - 31
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Physics of Life Reviews
publication_status: published
publisher: Elsevier
publist_id: '6150'
pubrep_id: '798'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Only the combination of mathematics and agent based simulations can leverage
  the full potential of evolutionary modeling: Comment on “Evolutionary game theory
  using agent-based methods” by C. Adami, J. Schossau and A. Hintze'
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2016'
...
---
_id: '478'
abstract:
- lang: eng
  text: 'Magic: the Gathering is a game about magical combat for any number of players.
    Formally it is a zero-sum, imperfect information stochastic game that consists
    of a potentially unbounded number of steps. We consider the problem of deciding
    if a move is legal in a given single step of Magic. We show that the problem is
    (a) coNP-complete in general; and (b) in P if either of two small sets of cards
    are not used. Our lower bound holds even for single-player Magic games. The significant
    aspects of our results are as follows: First, in most real-life game problems,
    the task of deciding whether a given move is legal in a single step is trivial,
    and the computationally hard task is to find the best sequence of legal moves
    in the presence of multiple players. In contrast, quite uniquely our hardness
    result holds for single step and with only one-player. Second, we establish efficient
    algorithms for important special cases of Magic.'
alternative_title:
- Frontiers in Artificial Intelligence and Applications
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 complexity of deciding legality of a single
    step of magic: The gathering. In: Vol 285. IOS Press; 2016:1432-1439. doi:<a href="https://doi.org/10.3233/978-1-61499-672-9-1432">10.3233/978-1-61499-672-9-1432</a>'
  apa: 'Chatterjee, K., &#38; Ibsen-Jensen, R. (2016). The complexity of deciding
    legality of a single step of magic: The gathering (Vol. 285, pp. 1432–1439). Presented
    at the ECAI: European Conference on Artificial Intelligence, The Hague, Netherlands:
    IOS Press. <a href="https://doi.org/10.3233/978-1-61499-672-9-1432">https://doi.org/10.3233/978-1-61499-672-9-1432</a>'
  chicago: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “The Complexity of Deciding
    Legality of a Single Step of Magic: The Gathering,” 285:1432–39. IOS Press, 2016.
    <a href="https://doi.org/10.3233/978-1-61499-672-9-1432">https://doi.org/10.3233/978-1-61499-672-9-1432</a>.'
  ieee: 'K. Chatterjee and R. Ibsen-Jensen, “The complexity of deciding legality of
    a single step of magic: The gathering,” presented at the ECAI: European Conference
    on Artificial Intelligence, The Hague, Netherlands, 2016, vol. 285, pp. 1432–1439.'
  ista: 'Chatterjee K, Ibsen-Jensen R. 2016. The complexity of deciding legality of
    a single step of magic: The gathering. ECAI: European Conference on Artificial
    Intelligence, Frontiers in Artificial Intelligence and Applications, vol. 285,
    1432–1439.'
  mla: 'Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. <i>The Complexity of Deciding
    Legality of a Single Step of Magic: The Gathering</i>. Vol. 285, IOS Press, 2016,
    pp. 1432–39, doi:<a href="https://doi.org/10.3233/978-1-61499-672-9-1432">10.3233/978-1-61499-672-9-1432</a>.'
  short: K. Chatterjee, R. Ibsen-Jensen, in:, IOS Press, 2016, pp. 1432–1439.
conference:
  end_date: 2016-09-02
  location: The Hague, Netherlands
  name: 'ECAI: European Conference on Artificial Intelligence'
  start_date: 2016-08-29
date_created: 2018-12-11T11:46:41Z
date_published: 2016-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:54Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.3233/978-1-61499-672-9-1432
file:
- access_level: open_access
  checksum: 848043c812ace05e459579c923f3d3cf
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:07:59Z
  date_updated: 2020-07-14T12:46:35Z
  file_id: '4658'
  file_name: IST-2018-950-v1+1_2016_Chatterjee_The_complexity.pdf
  file_size: 2116225
  relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: '       285'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 1432 - 1439
publication_status: published
publisher: IOS Press
publist_id: '7342'
pubrep_id: '950'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'The complexity of deciding legality of a single step of magic: The gathering'
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 285
year: '2016'
...
---
_id: '480'
abstract:
- lang: eng
  text: Graph games provide the foundation for modeling and synthesizing reactive
    processes. In the synthesis of stochastic reactive processes, the traditional
    model is perfect-information stochastic games, where some transitions of the game
    graph are controlled by two adversarial players, and the other transitions are
    executed probabilistically. We consider such games where the objective is the
    conjunction of several quantitative objectives (specified as mean-payoff conditions),
    which we refer to as generalized mean-payoff objectives. The basic decision problem
    asks for the existence of a finite-memory strategy for a player that ensures the
    generalized mean-payoff objective be satisfied with a desired probability against
    all strategies of the opponent. A special case of the decision problem is the
    almost-sure problem where the desired probability is 1. Previous results presented
    a semi-decision procedure for -approximations of the almost-sure problem. In this
    work, we show that both the almost-sure problem as well as the general basic decision
    problem are coNP-complete, significantly improving the previous results. Moreover,
    we show that in the case of 1-player stochastic games, randomized memoryless strategies
    are sufficient and the problem can be solved in polynomial time. In contrast,
    in two-player stochastic games, we show that even with randomized strategies exponential
    memory is required in general, and present a matching exponential upper bound.
    We also study the basic decision problem with infinite-memory strategies and present
    computational complexity results for the problem. Our results are relevant in
    the synthesis of stochastic reactive systems with multiple quantitative requirements.
alternative_title:
- Proceedings Symposium on Logic in Computer Science
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Perfect-information stochastic games with generalized
    mean-payoff objectives. In: Vol 05-08-July-2016. IEEE; 2016:247-256. doi:<a href="https://doi.org/10.1145/2933575.2934513">10.1145/2933575.2934513</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2016). Perfect-information stochastic games
    with generalized mean-payoff objectives (Vol. 05-08-July-2016, pp. 247–256). Presented
    at the LICS: Logic in Computer Science, New York, NY, USA: IEEE. <a href="https://doi.org/10.1145/2933575.2934513">https://doi.org/10.1145/2933575.2934513</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Perfect-Information Stochastic
    Games with Generalized Mean-Payoff Objectives,” 05-08-July-2016:247–56. IEEE,
    2016. <a href="https://doi.org/10.1145/2933575.2934513">https://doi.org/10.1145/2933575.2934513</a>.
  ieee: 'K. Chatterjee and L. Doyen, “Perfect-information stochastic games with generalized
    mean-payoff objectives,” presented at the LICS: Logic in Computer Science, New
    York, NY, USA, 2016, vol. 05-08-July-2016, pp. 247–256.'
  ista: 'Chatterjee K, Doyen L. 2016. Perfect-information stochastic games with generalized
    mean-payoff objectives. LICS: Logic in Computer Science, Proceedings Symposium
    on Logic in Computer Science, vol. 05-08-July-2016, 247–256.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>Perfect-Information Stochastic
    Games with Generalized Mean-Payoff Objectives</i>. Vol. 05-08-July-2016, IEEE,
    2016, pp. 247–56, doi:<a href="https://doi.org/10.1145/2933575.2934513">10.1145/2933575.2934513</a>.
  short: K. Chatterjee, L. Doyen, in:, IEEE, 2016, pp. 247–256.
conference:
  end_date: 2016-07-08
  location: New York, NY, USA
  name: 'LICS: Logic in Computer Science'
  start_date: 2016-07-05
date_created: 2018-12-11T11:46:42Z
date_published: 2016-07-05T00:00:00Z
date_updated: 2021-01-12T08:00:56Z
day: '05'
department:
- _id: KrCh
doi: 10.1145/2933575.2934513
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1604.06376
month: '07'
oa: 1
oa_version: Preprint
page: 247 - 256
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication_status: published
publisher: IEEE
publist_id: '7340'
quality_controlled: '1'
scopus_import: 1
status: public
title: Perfect-information stochastic games with generalized mean-payoff objectives
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 05-08-July-2016
year: '2016'
...
---
_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: '1499'
abstract:
- lang: eng
  text: "We consider weighted automata with both positive and negative integer weights
    on edges and\r\nstudy the problem of synchronization using adaptive strategies
    that may only observe whether\r\nthe current weight-level is negative or nonnegative.
    We show that the synchronization problem is decidable in polynomial time for deterministic
    weighted automata."
acknowledgement: "The research leading to these results has received funding from
  the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement
  601148 (CASSTING), EU FP7 FET project SENSATION, Sino-Danish Basic Research Center
  IDAE4CPS, the European Research Council (ERC) under grant agreement 267989 (QUAREM),
  the Austrian Science Fund (FWF) project S11402-N23 (RiSE) and Z211-N23 (Wittgenstein
  Award), the Czech Science Foundation under grant agreement P202/12/G061, and People
  Programme (Marie Curie Actions) of the European Union’s Seventh Framework\r\nProgramme
  (FP7/2007-2013) REA Grant No 291734."
alternative_title:
- LIPIcs
author:
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Kim
  full_name: Larsen, Kim
  last_name: Larsen
- first_name: Simon
  full_name: Laursen, Simon
  last_name: Laursen
- first_name: Jiří
  full_name: Srba, Jiří
  last_name: Srba
citation:
  ama: 'Kretinsky J, Larsen K, Laursen S, Srba J. Polynomial time decidability of
    weighted synchronization under partial observability. In: Vol 42. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2015:142-154. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2015.142">10.4230/LIPIcs.CONCUR.2015.142</a>'
  apa: 'Kretinsky, J., Larsen, K., Laursen, S., &#38; Srba, J. (2015). Polynomial
    time decidability of weighted synchronization under partial observability (Vol.
    42, pp. 142–154). Presented at the CONCUR: Concurrency Theory, Madrid, Spain:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2015.142">https://doi.org/10.4230/LIPIcs.CONCUR.2015.142</a>'
  chicago: Kretinsky, Jan, Kim Larsen, Simon Laursen, and Jiří Srba. “Polynomial Time
    Decidability of Weighted Synchronization under Partial Observability,” 42:142–54.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2015.142">https://doi.org/10.4230/LIPIcs.CONCUR.2015.142</a>.
  ieee: 'J. Kretinsky, K. Larsen, S. Laursen, and J. Srba, “Polynomial time decidability
    of weighted synchronization under partial observability,” presented at the CONCUR:
    Concurrency Theory, Madrid, Spain, 2015, vol. 42, pp. 142–154.'
  ista: 'Kretinsky J, Larsen K, Laursen S, Srba J. 2015. Polynomial time decidability
    of weighted synchronization under partial observability. CONCUR: Concurrency Theory,
    LIPIcs, vol. 42, 142–154.'
  mla: Kretinsky, Jan, et al. <i>Polynomial Time Decidability of Weighted Synchronization
    under Partial Observability</i>. Vol. 42, Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2015, pp. 142–54, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2015.142">10.4230/LIPIcs.CONCUR.2015.142</a>.
  short: J. Kretinsky, K. Larsen, S. Laursen, J. Srba, in:, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2015, pp. 142–154.
conference:
  end_date: 2015-09-04
  location: Madrid, Spain
  name: 'CONCUR: Concurrency Theory'
  start_date: 2015-09-01
date_created: 2018-12-11T11:52:22Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T06:51:10Z
day: '01'
ddc:
- '000'
- '003'
department:
- _id: ToHe
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2015.142
ec_funded: 1
file:
- access_level: open_access
  checksum: 49eb5021caafaabe5356c65b9c5f8c9c
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:08:12Z
  date_updated: 2020-07-14T12:44:58Z
  file_id: '4672'
  file_name: IST-2016-498-v1+1_32.pdf
  file_size: 623563
  relation: main_file
file_date_updated: 2020-07-14T12:44:58Z
has_accepted_license: '1'
intvolume: '        42'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 142 - 154
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: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '5680'
pubrep_id: '498'
quality_controlled: '1'
scopus_import: 1
status: public
title: Polynomial time decidability of weighted synchronization under partial observability
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
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'
...
---
_id: '1502'
abstract:
- lang: eng
  text: We extend the theory of input-output conformance with operators for merge
    and quotient. The former is useful when testing against multiple requirements
    or views. The latter can be used to generate tests for patches of an already tested
    system. Both operators can combine systems with different action alphabets, which
    is usually the case when constructing complex systems and specifications from
    parts, for instance different views as well as newly defined functionality of
    a~previous version of the system.
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) and Z211-N23 (Wittgestein Award), by People Programme
  (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013)
  under REA grant agreement 291734, and by the ARTEMIS JU under grant agreement 295373
  (nSafeCer).  Jan Křetínský has been partially supported by the Czech Science Foundation,
  grant No.  P202/12/G061.  Nikola Beneš has been supported by the\r\nMEYS project
  No. CZ.1.07/2.3.00/30.0009 Employment of Newly Graduated Doctors of Science for
  Scientific Excellence."
alternative_title:
- 'Proceedings of the 18th International ACM SIGSOFT Symposium on Component-Based
  Software Engineering '
author:
- first_name: Nikola
  full_name: Beneš, Nikola
  last_name: Beneš
- first_name: Przemyslaw
  full_name: Daca, Przemyslaw
  id: 49351290-F248-11E8-B48F-1D18A9856A87
  last_name: Daca
- 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: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Dejan
  full_name: Nickovic, Dejan
  last_name: Nickovic
citation:
  ama: 'Beneš N, Daca P, Henzinger TA, Kretinsky J, Nickovic D. Complete composition
    operators for IOCO-testing theory. In: ACM; 2015:101-110. doi:<a href="https://doi.org/10.1145/2737166.2737175">10.1145/2737166.2737175</a>'
  apa: 'Beneš, N., Daca, P., Henzinger, T. A., Kretinsky, J., &#38; Nickovic, D. (2015).
    Complete composition operators for IOCO-testing theory (pp. 101–110). Presented
    at the CBSE: Component-Based Software Engineering , Montreal, QC, Canada: ACM.
    <a href="https://doi.org/10.1145/2737166.2737175">https://doi.org/10.1145/2737166.2737175</a>'
  chicago: Beneš, Nikola, Przemyslaw Daca, Thomas A Henzinger, Jan Kretinsky, and
    Dejan Nickovic. “Complete Composition Operators for IOCO-Testing Theory,” 101–10.
    ACM, 2015. <a href="https://doi.org/10.1145/2737166.2737175">https://doi.org/10.1145/2737166.2737175</a>.
  ieee: 'N. Beneš, P. Daca, T. A. Henzinger, J. Kretinsky, and D. Nickovic, “Complete
    composition operators for IOCO-testing theory,” presented at the CBSE: Component-Based
    Software Engineering , Montreal, QC, Canada, 2015, pp. 101–110.'
  ista: 'Beneš N, Daca P, Henzinger TA, Kretinsky J, Nickovic D. 2015. Complete composition
    operators for IOCO-testing theory. CBSE: Component-Based Software Engineering
    , Proceedings of the 18th International ACM SIGSOFT Symposium on Component-Based
    Software Engineering , , 101–110.'
  mla: Beneš, Nikola, et al. <i>Complete Composition Operators for IOCO-Testing Theory</i>.
    ACM, 2015, pp. 101–10, doi:<a href="https://doi.org/10.1145/2737166.2737175">10.1145/2737166.2737175</a>.
  short: N. Beneš, P. Daca, T.A. Henzinger, J. Kretinsky, D. Nickovic, in:, ACM, 2015,
    pp. 101–110.
conference:
  end_date: 2015-05-08
  location: Montreal, QC, Canada
  name: 'CBSE: Component-Based Software Engineering '
  start_date: 2015-05-04
date_created: 2018-12-11T11:52:24Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2023-09-07T11:58:33Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1145/2737166.2737175
ec_funded: 1
file:
- access_level: open_access
  checksum: c6ce681035c163a158751f240cb7d389
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:46Z
  date_updated: 2020-07-14T12:44:59Z
  file_id: '5303'
  file_name: IST-2016-625-v1+1_conf-cbse-BenesDHKN15.pdf
  file_size: 467561
  relation: main_file
file_date_updated: 2020-07-14T12:44:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 101 - 110
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: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_identifier:
  isbn:
  - 978-1-4503-3471-6
publication_status: published
publisher: ACM
publist_id: '5676'
pubrep_id: '625'
quality_controlled: '1'
related_material:
  record:
  - id: '1155'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: Complete composition operators for IOCO-testing theory
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1559'
abstract:
- lang: eng
  text: 'There are deep, yet largely unexplored, connections between computer science
    and biology. Both disciplines examine how information proliferates in time and
    space. Central results in computer science describe the complexity of algorithms
    that solve certain classes of problems. An algorithm is deemed efficient if it
    can solve a problem in polynomial time, which means the running time of the algorithm
    is a polynomial function of the length of the input. There are classes of harder
    problems for which the fastest possible algorithm requires exponential time. Another
    criterion is the space requirement of the algorithm. There is a crucial distinction
    between algorithms that can find a solution, verify a solution, or list several
    distinct solutions in given time and space. The complexity hierarchy that is generated
    in this way is the foundation of theoretical computer science. Precise complexity
    results can be notoriously difficult. The famous question whether polynomial time
    equals nondeterministic polynomial time (i.e., P = NP) is one of the hardest open
    problems in computer science and all of mathematics. Here, we consider simple
    processes of ecological and evolutionary spatial dynamics. The basic question
    is: What is the probability that a new invader (or a new mutant)will take over
    a resident population?We derive precise complexity results for a variety of scenarios.
    We therefore show that some fundamental questions in this area cannot be answered
    by simple equations (assuming that P is not equal to NP).'
author:
- 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: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Ibsen-Jensen R, Chatterjee K, Nowak M. Computational complexity of ecological
    and evolutionary spatial dynamics. <i>PNAS</i>. 2015;112(51):15636-15641. doi:<a
    href="https://doi.org/10.1073/pnas.1511366112">10.1073/pnas.1511366112</a>
  apa: Ibsen-Jensen, R., Chatterjee, K., &#38; Nowak, M. (2015). Computational complexity
    of ecological and evolutionary spatial dynamics. <i>PNAS</i>. National Academy
    of Sciences. <a href="https://doi.org/10.1073/pnas.1511366112">https://doi.org/10.1073/pnas.1511366112</a>
  chicago: Ibsen-Jensen, Rasmus, Krishnendu Chatterjee, and Martin Nowak. “Computational
    Complexity of Ecological and Evolutionary Spatial Dynamics.” <i>PNAS</i>. National
    Academy of Sciences, 2015. <a href="https://doi.org/10.1073/pnas.1511366112">https://doi.org/10.1073/pnas.1511366112</a>.
  ieee: R. Ibsen-Jensen, K. Chatterjee, and M. Nowak, “Computational complexity of
    ecological and evolutionary spatial dynamics,” <i>PNAS</i>, vol. 112, no. 51.
    National Academy of Sciences, pp. 15636–15641, 2015.
  ista: Ibsen-Jensen R, Chatterjee K, Nowak M. 2015. Computational complexity of ecological
    and evolutionary spatial dynamics. PNAS. 112(51), 15636–15641.
  mla: Ibsen-Jensen, Rasmus, et al. “Computational Complexity of Ecological and Evolutionary
    Spatial Dynamics.” <i>PNAS</i>, vol. 112, no. 51, National Academy of Sciences,
    2015, pp. 15636–41, doi:<a href="https://doi.org/10.1073/pnas.1511366112">10.1073/pnas.1511366112</a>.
  short: R. Ibsen-Jensen, K. Chatterjee, M. Nowak, PNAS 112 (2015) 15636–15641.
date_created: 2018-12-11T11:52:43Z
date_published: 2015-12-22T00:00:00Z
date_updated: 2021-01-12T06:51:36Z
day: '22'
department:
- _id: KrCh
doi: 10.1073/pnas.1511366112
external_id:
  pmid:
  - '26644569'
intvolume: '       112'
issue: '51'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4697423/
month: '12'
oa: 1
oa_version: Submitted Version
page: 15636 - 15641
pmid: 1
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '5612'
quality_controlled: '1'
scopus_import: 1
status: public
title: Computational complexity of ecological and evolutionary spatial dynamics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2015'
...
---
_id: '1594'
abstract:
- lang: eng
  text: Quantitative extensions of temporal logics have recently attracted significant
    attention. In this work, we study frequency LTL (fLTL), an extension of LTL which
    allows to speak about frequencies of events along an execution. Such an extension
    is particularly useful for probabilistic systems that often cannot fulfil strict
    qualitative guarantees on the behaviour. It has been recently shown that controller
    synthesis for Markov decision processes and fLTL is decidable when all the bounds
    on frequencies are 1. As a step towards a complete quantitative solution, we show
    that the problem is decidable for the fragment fLTL\GU, where U does not occur
    in the scope of G (but still F can). Our solution is based on a novel translation
    of such quantitative formulae into equivalent deterministic automata.
acknowledgement: "This work is partly supported by the German Research Council (DFG)
  as part of the Transregional Collaborative Research Center AVACS (SFB/TR 14), by
  the Czech Science Foundation under grant agreement P202/12/G061, by the EU 7th Framework
  Programme under grant agreement no. 295261 (MEALS) and 318490 (SENSATION), by the
  CDZ project 1023 (CAP), by the CAS/SAFEA International Partnership Program for Creative
  Research Teams, by the EPSRC grant EP/M023656/1, by the People Programme (Marie
  Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013)
  REA Grant No 291734, by the Austrian Science Fund (FWF) S11407-N23 (RiSE/SHiNE),
  and by the ERC Start Grant (279307: Graph Games).\r\n"
alternative_title:
- LNCS
author:
- first_name: Vojtěch
  full_name: Forejt, Vojtěch
  last_name: Forejt
- first_name: Jan
  full_name: Krčál, Jan
  last_name: Krčál
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
citation:
  ama: 'Forejt V, Krčál J, Kretinsky J. Controller synthesis for MDPs and frequency
    LTL\GU. In: Vol 9450. Springer; 2015:162-177. doi:<a href="https://doi.org/10.1007/978-3-662-48899-7_12">10.1007/978-3-662-48899-7_12</a>'
  apa: 'Forejt, V., Krčál, J., &#38; Kretinsky, J. (2015). Controller synthesis for
    MDPs and frequency LTL\GU (Vol. 9450, pp. 162–177). Presented at the LPAR: Logic
    for Programming, Artificial Intelligence, and Reasoning, Suva, Fiji: Springer.
    <a href="https://doi.org/10.1007/978-3-662-48899-7_12">https://doi.org/10.1007/978-3-662-48899-7_12</a>'
  chicago: Forejt, Vojtěch, Jan Krčál, and Jan Kretinsky. “Controller Synthesis for
    MDPs and Frequency LTL\GU,” 9450:162–77. Springer, 2015. <a href="https://doi.org/10.1007/978-3-662-48899-7_12">https://doi.org/10.1007/978-3-662-48899-7_12</a>.
  ieee: 'V. Forejt, J. Krčál, and J. Kretinsky, “Controller synthesis for MDPs and
    frequency LTL\GU,” presented at the LPAR: Logic for Programming, Artificial Intelligence,
    and Reasoning, Suva, Fiji, 2015, vol. 9450, pp. 162–177.'
  ista: 'Forejt V, Krčál J, Kretinsky J. 2015. Controller synthesis for MDPs and frequency
    LTL\GU. LPAR: Logic for Programming, Artificial Intelligence, and Reasoning, LNCS,
    vol. 9450, 162–177.'
  mla: Forejt, Vojtěch, et al. <i>Controller Synthesis for MDPs and Frequency LTL\GU</i>.
    Vol. 9450, Springer, 2015, pp. 162–77, doi:<a href="https://doi.org/10.1007/978-3-662-48899-7_12">10.1007/978-3-662-48899-7_12</a>.
  short: V. Forejt, J. Krčál, J. Kretinsky, in:, Springer, 2015, pp. 162–177.
conference:
  end_date: 2015-11-28
  location: Suva, Fiji
  name: 'LPAR: Logic for Programming, Artificial Intelligence, and Reasoning'
  start_date: 2015-11-24
date_created: 2018-12-11T11:52:55Z
date_published: 2015-11-22T00:00:00Z
date_updated: 2021-01-12T06:51:50Z
day: '22'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-662-48899-7_12
ec_funded: 1
intvolume: '      9450'
language:
- iso: eng
month: '11'
oa_version: None
page: 162 - 177
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _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'
publication_status: published
publisher: Springer
publist_id: '5577'
quality_controlled: '1'
scopus_import: 1
status: public
title: Controller synthesis for MDPs and frequency LTL\GU
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9450
year: '2015'
...
---
_id: '1598'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with specifications given as
    Büchi (liveness) objectives, and examine the problem of computing the set of almost-sure
    winning vertices such that the objective can be ensured with probability 1 from
    these vertices. We study for the first time the average-case complexity of the
    classical algorithm for computing the set of almost-sure winning vertices for
    MDPs with Büchi objectives. Our contributions are as follows: First, we show that
    for MDPs with constant out-degree the expected number of iterations is at most
    logarithmic and the average-case running time is linear (as compared to the worst-case
    linear number of iterations and quadratic time complexity). Second, for the average-case
    analysis over all MDPs we show that the expected number of iterations is constant
    and the average-case running time is linear (again as compared to the worst-case
    linear number of iterations and quadratic time complexity). Finally we also show
    that when all MDPs are equally likely, the probability that the classical algorithm
    requires more than a constant number of iterations is exponentially small.'
acknowledgement: "The research was supported by FWF Grant No. P 23499-N23, FWF NFN
  Grant No. S11407-N23 (RiSE), ERC Start Grant (279307: Graph Games), and the Microsoft
  Faculty Fellows Award. Nisarg Shah is also supported by NSF Grant CCF-1215883.\r\n"
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: Manas
  full_name: Joglekar, Manas
  last_name: Joglekar
- first_name: Nisarg
  full_name: Shah, Nisarg
  last_name: Shah
citation:
  ama: Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm
    for Markov decision processes with Büchi objectives. <i>Theoretical Computer Science</i>.
    2015;573(3):71-89. doi:<a href="https://doi.org/10.1016/j.tcs.2015.01.050">10.1016/j.tcs.2015.01.050</a>
  apa: Chatterjee, K., Joglekar, M., &#38; Shah, N. (2015). Average case analysis
    of the classical algorithm for Markov decision processes with Büchi objectives.
    <i>Theoretical Computer Science</i>. Elsevier. <a href="https://doi.org/10.1016/j.tcs.2015.01.050">https://doi.org/10.1016/j.tcs.2015.01.050</a>
  chicago: Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case
    Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives.”
    <i>Theoretical Computer Science</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.tcs.2015.01.050">https://doi.org/10.1016/j.tcs.2015.01.050</a>.
  ieee: K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical
    algorithm for Markov decision processes with Büchi objectives,” <i>Theoretical
    Computer Science</i>, vol. 573, no. 3. Elsevier, pp. 71–89, 2015.
  ista: Chatterjee K, Joglekar M, Shah N. 2015. Average case analysis of the classical
    algorithm for Markov decision processes with Büchi objectives. Theoretical Computer
    Science. 573(3), 71–89.
  mla: Chatterjee, Krishnendu, et al. “Average Case Analysis of the Classical Algorithm
    for Markov Decision Processes with Büchi Objectives.” <i>Theoretical Computer
    Science</i>, vol. 573, no. 3, Elsevier, 2015, pp. 71–89, doi:<a href="https://doi.org/10.1016/j.tcs.2015.01.050">10.1016/j.tcs.2015.01.050</a>.
  short: K. Chatterjee, M. Joglekar, N. Shah, Theoretical Computer Science 573 (2015)
    71–89.
date_created: 2018-12-11T11:52:56Z
date_published: 2015-03-30T00:00:00Z
date_updated: 2023-02-23T10:55:03Z
day: '30'
department:
- _id: KrCh
doi: 10.1016/j.tcs.2015.01.050
ec_funded: 1
external_id:
  arxiv:
  - '1202.4175'
intvolume: '       573'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1202.4175
month: '03'
oa: 1
oa_version: Preprint
page: 71 - 89
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: Theoretical Computer Science
publication_status: published
publisher: Elsevier
publist_id: '5571'
quality_controlled: '1'
related_material:
  record:
  - id: '2715'
    relation: earlier_version
    status: public
scopus_import: 1
status: public
title: Average case analysis of the classical algorithm for Markov decision processes
  with Büchi objectives
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 573
year: '2015'
...
