---
_id: '5977'
abstract:
- lang: eng
  text: 'We consider the stochastic shortest path (SSP)problem for succinct Markov
    decision processes(MDPs), where the MDP consists of a set of vari-ables, and a
    set of nondeterministic rules that up-date the variables. First, we show that
    several ex-amples from the AI literature can be modeled assuccinct MDPs.  Then
    we present computationalapproaches for upper and lower bounds for theSSP problem:
    (a) for computing upper bounds, ourmethod is polynomial-time in the implicit descrip-tion
    of the MDP; (b) for lower bounds, we present apolynomial-time (in the size of
    the implicit descrip-tion) reduction to quadratic programming. Our ap-proach is
    applicable even to infinite-state MDPs.Finally, we present experimental results
    to demon-strate the effectiveness of our approach on severalclassical examples
    from the AI literature.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Hongfei
  full_name: Fu, Hongfei
  id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
  last_name: Fu
- first_name: Amir
  full_name: Goharshady, Amir
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Nastaran
  full_name: Okati, Nastaran
  last_name: Okati
citation:
  ama: 'Chatterjee K, Fu H, Goharshady AK, Okati N. Computational approaches for stochastic
    shortest path on succinct MDPs. In: <i>Proceedings of the Twenty-Seventh International
    Joint Conference on Artificial Intelligence</i>. Vol 2018. IJCAI; 2018:4700-4707.
    doi:<a href="https://doi.org/10.24963/ijcai.2018/653">10.24963/ijcai.2018/653</a>'
  apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., &#38; Okati, N. (2018). Computational
    approaches for stochastic shortest path on succinct MDPs. In <i>Proceedings of
    the Twenty-Seventh International Joint Conference on Artificial Intelligence</i>
    (Vol. 2018, pp. 4700–4707). Stockholm, Sweden: IJCAI. <a href="https://doi.org/10.24963/ijcai.2018/653">https://doi.org/10.24963/ijcai.2018/653</a>'
  chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Nastaran
    Okati. “Computational Approaches for Stochastic Shortest Path on Succinct MDPs.”
    In <i>Proceedings of the Twenty-Seventh International Joint Conference on Artificial
    Intelligence</i>, 2018:4700–4707. IJCAI, 2018. <a href="https://doi.org/10.24963/ijcai.2018/653">https://doi.org/10.24963/ijcai.2018/653</a>.
  ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and N. Okati, “Computational approaches
    for stochastic shortest path on succinct MDPs,” in <i>Proceedings of the Twenty-Seventh
    International Joint Conference on Artificial Intelligence</i>, Stockholm, Sweden,
    2018, vol. 2018, pp. 4700–4707.
  ista: 'Chatterjee K, Fu H, Goharshady AK, Okati N. 2018. Computational approaches
    for stochastic shortest path on succinct MDPs. Proceedings of the Twenty-Seventh
    International Joint Conference on Artificial Intelligence. IJCAI: International
    Joint Conference on Artificial Intelligence vol. 2018, 4700–4707.'
  mla: Chatterjee, Krishnendu, et al. “Computational Approaches for Stochastic Shortest
    Path on Succinct MDPs.” <i>Proceedings of the Twenty-Seventh International Joint
    Conference on Artificial Intelligence</i>, vol. 2018, IJCAI, 2018, pp. 4700–07,
    doi:<a href="https://doi.org/10.24963/ijcai.2018/653">10.24963/ijcai.2018/653</a>.
  short: K. Chatterjee, H. Fu, A.K. Goharshady, N. Okati, in:, Proceedings of the
    Twenty-Seventh International Joint Conference on Artificial Intelligence, IJCAI,
    2018, pp. 4700–4707.
conference:
  end_date: 2018-07-19
  location: Stockholm, Sweden
  name: 'IJCAI: International Joint Conference on Artificial Intelligence'
  start_date: 2018-07-13
date_created: 2019-02-13T13:26:27Z
date_published: 2018-07-17T00:00:00Z
date_updated: 2026-09-04T22:31:00Z
day: '17'
department:
- _id: KrCh
doi: 10.24963/ijcai.2018/653
ec_funded: 1
external_id:
  arxiv:
  - '1804.08984'
  isi:
  - '000764175404118'
intvolume: '      2018'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1804.08984
month: '07'
oa: 1
oa_version: Preprint
page: 4700-4707
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided 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 Twenty-Seventh International Joint Conference on Artificial
  Intelligence
publication_identifier:
  isbn:
  - '9780999241127'
  issn:
  - 1045-0823
publication_status: published
publisher: IJCAI
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Computational approaches for stochastic shortest path on succinct MDPs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2018
year: '2018'
...
---
_id: '1194'
abstract:
- lang: eng
  text: 'Termination is one of the basic liveness properties, and we study the termination
    problem for probabilistic programs with real-valued variables. Previous works
    focused on the qualitative problem that asks whether an input program terminates
    with probability~1 (almost-sure termination). A powerful approach for this qualitative
    problem is the notion of ranking supermartingales with respect to a given set
    of invariants. The quantitative problem (probabilistic termination) asks for bounds
    on the termination probability. A fundamental and conceptual drawback of the existing
    approaches to address probabilistic termination is that even though the supermartingales
    consider the probabilistic behavior of the programs, the invariants are obtained
    completely ignoring the probabilistic aspect. In this work we address the probabilistic
    termination problem for linear-arithmetic probabilistic programs with nondeterminism.
    We define the notion of {\em stochastic invariants}, which are constraints along
    with a probability bound that the constraints hold. We introduce a concept of
    {\em repulsing supermartingales}. First, we show that repulsing supermartingales
    can be used to obtain bounds on the probability of the stochastic invariants.
    Second, we show the effectiveness of repulsing supermartingales in the following
    three ways: (1)~With a combination of ranking and repulsing supermartingales we
    can compute lower bounds on the probability of termination; (2)~repulsing supermartingales
    provide witnesses for refutation of almost-sure termination; and (3)~with a combination
    of ranking and repulsing supermartingales we can establish persistence properties
    of probabilistic programs. We also present results on related computational problems
    and an experimental evaluation of our approach on academic examples. '
alternative_title:
- ACM SIGPLAN Notices
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: Petr
  full_name: Novotny, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotny
- first_name: Djordje
  full_name: Zikelic, Djordje
  last_name: Zikelic
citation:
  ama: 'Chatterjee K, Novotný P, Zikelic D. Stochastic invariants for probabilistic
    termination. In: Vol 52. ACM; 2017:145-160. doi:<a href="https://doi.org/10.1145/3009837.3009873">10.1145/3009837.3009873</a>'
  apa: 'Chatterjee, K., Novotný, P., &#38; Zikelic, D. (2017). Stochastic invariants
    for probabilistic termination (Vol. 52, pp. 145–160). Presented at the POPL: Principles
    of Programming Languages, Paris, France: ACM. <a href="https://doi.org/10.1145/3009837.3009873">https://doi.org/10.1145/3009837.3009873</a>'
  chicago: Chatterjee, Krishnendu, Petr Novotný, and Djordje Zikelic. “Stochastic
    Invariants for Probabilistic Termination,” 52:145–60. ACM, 2017. <a href="https://doi.org/10.1145/3009837.3009873">https://doi.org/10.1145/3009837.3009873</a>.
  ieee: 'K. Chatterjee, P. Novotný, and D. Zikelic, “Stochastic invariants for probabilistic
    termination,” presented at the POPL: Principles of Programming Languages, Paris,
    France, 2017, vol. 52, no. 1, pp. 145–160.'
  ista: 'Chatterjee K, Novotný P, Zikelic D. 2017. Stochastic invariants for probabilistic
    termination. POPL: Principles of Programming Languages, ACM SIGPLAN Notices, vol.
    52, 145–160.'
  mla: Chatterjee, Krishnendu, et al. <i>Stochastic Invariants for Probabilistic Termination</i>.
    Vol. 52, no. 1, ACM, 2017, pp. 145–60, doi:<a href="https://doi.org/10.1145/3009837.3009873">10.1145/3009837.3009873</a>.
  short: K. Chatterjee, P. Novotný, D. Zikelic, in:, ACM, 2017, pp. 145–160.
conference:
  end_date: 2017-01-21
  location: Paris, France
  name: 'POPL: Principles of Programming Languages'
  start_date: 2017-01-15
date_created: 2018-12-11T11:50:39Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2026-04-07T13:27:56Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3009837.3009873
ec_funded: 1
external_id:
  arxiv:
  - '1611.01063'
  isi:
  - '000408311200013'
intvolume: '        52'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1611.01063
month: '01'
oa: 1
oa_version: Submitted Version
page: 145 - 160
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication_identifier:
  issn:
  - 0730-8566
publication_status: published
publisher: ACM
publist_id: '6157'
quality_controlled: '1'
related_material:
  record:
  - id: '14539'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Stochastic invariants for probabilistic termination
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2017'
...
---
_id: '1294'
abstract:
- lang: eng
  text: We study controller synthesis problems for finite-state Markov decision processes,
    where the objective is to optimize the expected mean-payoff performance and stability
    (also known as variability in the literature). We argue that the basic notion
    of expressing the stability using the statistical variance of the mean payoff
    is sometimes insufficient, and propose an alternative definition. We show that
    a strategy ensuring both the expected mean payoff and the variance below given
    bounds requires randomization and memory, under both the above definitions. We
    then show that the problem of finding such a strategy can be expressed as a set
    of constraints.
article_processing_charge: No
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Vojtěch
  full_name: Forejt, Vojtěch
  last_name: Forejt
- first_name: Antonín
  full_name: Kučera, Antonín
  last_name: Kučera
citation:
  ama: Brázdil T, Chatterjee K, Forejt V, Kučera A. Trading performance for stability
    in Markov decision processes. <i>Journal of Computer and System Sciences</i>.
    2017;84:144-170. doi:<a href="https://doi.org/10.1016/j.jcss.2016.09.009">10.1016/j.jcss.2016.09.009</a>
  apa: Brázdil, T., Chatterjee, K., Forejt, V., &#38; Kučera, A. (2017). Trading performance
    for stability in Markov decision processes. <i>Journal of Computer and System
    Sciences</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcss.2016.09.009">https://doi.org/10.1016/j.jcss.2016.09.009</a>
  chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Vojtěch Forejt, and Antonín Kučera.
    “Trading Performance for Stability in Markov Decision Processes.” <i>Journal of
    Computer and System Sciences</i>. Elsevier, 2017. <a href="https://doi.org/10.1016/j.jcss.2016.09.009">https://doi.org/10.1016/j.jcss.2016.09.009</a>.
  ieee: T. Brázdil, K. Chatterjee, V. Forejt, and A. Kučera, “Trading performance
    for stability in Markov decision processes,” <i>Journal of Computer and System
    Sciences</i>, vol. 84. Elsevier, pp. 144–170, 2017.
  ista: Brázdil T, Chatterjee K, Forejt V, Kučera A. 2017. Trading performance for
    stability in Markov decision processes. Journal of Computer and System Sciences.
    84, 144–170.
  mla: Brázdil, Tomáš, et al. “Trading Performance for Stability in Markov Decision
    Processes.” <i>Journal of Computer and System Sciences</i>, vol. 84, Elsevier,
    2017, pp. 144–70, doi:<a href="https://doi.org/10.1016/j.jcss.2016.09.009">10.1016/j.jcss.2016.09.009</a>.
  short: T. Brázdil, K. Chatterjee, V. Forejt, A. Kučera, Journal of Computer and
    System Sciences 84 (2017) 144–170.
date_created: 2018-12-11T11:51:12Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2025-09-29T14:16:56Z
day: '01'
ddc:
- '004'
- '006'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2016.09.009
ec_funded: 1
external_id:
  isi:
  - '000388430000011'
file:
- access_level: open_access
  checksum: 91271b23cf884d7c06d33bef0cd623b1
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:30Z
  date_updated: 2020-07-14T12:44:42Z
  file_id: '4885'
  file_name: IST-2016-717-v1+1_1-s2.0-S0022000016300897-main.pdf
  file_size: 708657
  relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: '        84'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 144 - 170
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of Computer and System Sciences
publication_status: published
publisher: Elsevier
publist_id: '6009'
pubrep_id: '717'
quality_controlled: '1'
related_material:
  record:
  - id: '2305'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Trading performance for stability in Markov decision processes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 84
year: '2017'
...
---
_id: '13160'
abstract:
- lang: eng
  text: "Transforming deterministic ω\r\n-automata into deterministic parity automata
    is traditionally done using variants of appearance records. We present a more
    efficient variant of this approach, tailored to Rabin automata, and several optimizations
    applicable to all appearance records. We compare the methods experimentally and
    find out that our method produces smaller automata than previous approaches. Moreover,
    the experiments demonstrate the potential of our method for LTL synthesis, using
    LTL-to-Rabin translators. It leads to significantly smaller parity automata when
    compared to state-of-the-art approaches on complex formulae."
acknowledgement: This work is partially funded by the DFG project “Verified Model
  Checkers” and by the Czech Science Foundation, grant No. P202/12/G061.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Clara
  full_name: Waldmann, Clara
  last_name: Waldmann
- first_name: Maximilian
  full_name: Weininger, Maximilian
  last_name: Weininger
citation:
  ama: 'Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record
    for transforming Rabin automata into parity automata. In: <i>Tools and Algorithms
    for the Construction and Analysis of Systems</i>. Vol 10205. Springer; 2017:443-460.
    doi:<a href="https://doi.org/10.1007/978-3-662-54577-5_26">10.1007/978-3-662-54577-5_26</a>'
  apa: 'Kretinsky, J., Meggendorfer, T., Waldmann, C., &#38; Weininger, M. (2017).
    Index appearance record for transforming Rabin automata into parity automata.
    In <i>Tools and Algorithms for the Construction and Analysis of Systems</i> (Vol.
    10205, pp. 443–460). Uppsala, Sweden: Springer. <a href="https://doi.org/10.1007/978-3-662-54577-5_26">https://doi.org/10.1007/978-3-662-54577-5_26</a>'
  chicago: Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger.
    “Index Appearance Record for Transforming Rabin Automata into Parity Automata.”
    In <i>Tools and Algorithms for the Construction and Analysis of Systems</i>, 10205:443–60.
    Springer, 2017. <a href="https://doi.org/10.1007/978-3-662-54577-5_26">https://doi.org/10.1007/978-3-662-54577-5_26</a>.
  ieee: J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance
    record for transforming Rabin automata into parity automata,” in <i>Tools and
    Algorithms for the Construction and Analysis of Systems</i>, Uppsala, Sweden,
    2017, vol. 10205, pp. 443–460.
  ista: 'Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2017. Index appearance
    record for transforming Rabin automata into parity automata. Tools and Algorithms
    for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for
    the Construction and Analysis of Systems, LNCS, vol. 10205, 443–460.'
  mla: Kretinsky, Jan, et al. “Index Appearance Record for Transforming Rabin Automata
    into Parity Automata.” <i>Tools and Algorithms for the Construction and Analysis
    of Systems</i>, vol. 10205, Springer, 2017, pp. 443–60, doi:<a href="https://doi.org/10.1007/978-3-662-54577-5_26">10.1007/978-3-662-54577-5_26</a>.
  short: J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, in:, Tools and
    Algorithms for the Construction and Analysis of Systems, Springer, 2017, pp. 443–460.
conference:
  end_date: 2017-04-29
  location: Uppsala, Sweden
  name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
  start_date: 2017-04-22
corr_author: '1'
date_created: 2023-06-21T13:21:14Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2025-09-18T10:42:48Z
day: '31'
department:
- _id: KrCh
doi: 10.1007/978-3-662-54577-5_26
external_id:
  arxiv:
  - '1701.05738'
  isi:
  - '000440734900026'
intvolume: '     10205'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1701.05738
month: '03'
oa: 1
oa_version: Preprint
page: 443-460
publication: Tools and Algorithms for the Construction and Analysis of Systems
publication_identifier:
  eisbn:
  - '9783662545775'
  eissn:
  - 1611-3349
  isbn:
  - '9783662545768'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Index appearance record for transforming Rabin automata into parity automata
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10205
year: '2017'
...
---
_id: '1407'
abstract:
- lang: eng
  text: We consider the problem of computing the set of initial states of a dynamical
    system such that there exists a control strategy to ensure that the trajectories
    satisfy a temporal logic specification with probability 1 (almost-surely). We
    focus on discrete-time, stochastic linear dynamics and specifications given as
    formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over
    linear predicates in the states of the system. We propose a solution based on
    iterative abstraction-refinement, and turn-based 2-player probabilistic games.
    While the theoretical guarantee of our algorithm after any finite number of iterations
    is only a partial solution, we show that if our algorithm terminates, then the
    result is the set of all satisfying initial states. Moreover, for any (partial)
    solution our algorithm synthesizes witness control strategies to ensure almost-sure
    satisfaction of the temporal logic specification. While the proposed algorithm
    guarantees progress and soundness in every iteration, it is computationally demanding.
    We offer an alternative, more efficient solution for the reachability properties
    that decomposes the problem into a series of smaller problems of the same type.
    All algorithms are demonstrated on an illustrative case study.
article_processing_charge: No
arxiv: 1
author:
- first_name: Mária
  full_name: Svoreňová, Mária
  last_name: Svoreňová
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Ivana
  full_name: Cěrná, Ivana
  last_name: Cěrná
- first_name: Cǎlin
  full_name: Belta, Cǎlin
  last_name: Belta
citation:
  ama: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. Temporal
    logic control for stochastic linear systems using abstraction refinement of probabilistic
    games. <i>Nonlinear Analysis: Hybrid Systems</i>. 2017;23(2):230-253. doi:<a href="https://doi.org/10.1016/j.nahs.2016.04.006">10.1016/j.nahs.2016.04.006</a>'
  apa: 'Svoreňová, M., Kretinsky, J., Chmelik, M., Chatterjee, K., Cěrná, I., &#38;
    Belta, C. (2017). Temporal logic control for stochastic linear systems using abstraction
    refinement of probabilistic games. <i>Nonlinear Analysis: Hybrid Systems</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.nahs.2016.04.006">https://doi.org/10.1016/j.nahs.2016.04.006</a>'
  chicago: 'Svoreňová, Mária, Jan Kretinsky, Martin Chmelik, Krishnendu Chatterjee,
    Ivana Cěrná, and Cǎlin Belta. “Temporal Logic Control for Stochastic Linear Systems
    Using Abstraction Refinement of Probabilistic Games.” <i>Nonlinear Analysis: Hybrid
    Systems</i>. Elsevier, 2017. <a href="https://doi.org/10.1016/j.nahs.2016.04.006">https://doi.org/10.1016/j.nahs.2016.04.006</a>.'
  ieee: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, and C. Belta,
    “Temporal logic control for stochastic linear systems using abstraction refinement
    of probabilistic games,” <i>Nonlinear Analysis: Hybrid Systems</i>, vol. 23, no.
    2. Elsevier, pp. 230–253, 2017.'
  ista: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. 2017.
    Temporal logic control for stochastic linear systems using abstraction refinement
    of probabilistic games. Nonlinear Analysis: Hybrid Systems. 23(2), 230–253.'
  mla: 'Svoreňová, Mária, et al. “Temporal Logic Control for Stochastic Linear Systems
    Using Abstraction Refinement of Probabilistic Games.” <i>Nonlinear Analysis: Hybrid
    Systems</i>, vol. 23, no. 2, Elsevier, 2017, pp. 230–53, doi:<a href="https://doi.org/10.1016/j.nahs.2016.04.006">10.1016/j.nahs.2016.04.006</a>.'
  short: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, C. Belta,
    Nonlinear Analysis: Hybrid Systems 23 (2017) 230–253.'
date_created: 2018-12-11T11:51:50Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-06-11T06:33:00Z
day: '01'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1016/j.nahs.2016.04.006
ec_funded: 1
external_id:
  arxiv:
  - '1410.5387'
  isi:
  - '000390637000014'
intvolume: '        23'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1410.5387
month: '02'
oa: 1
oa_version: Preprint
page: 230 - 253
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 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
publication: 'Nonlinear Analysis: Hybrid Systems'
publication_status: published
publisher: Elsevier
publist_id: '5800'
quality_controlled: '1'
related_material:
  record:
  - id: '1689'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Temporal logic control for stochastic linear systems using abstraction refinement
  of probabilistic games
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2017'
...
---
_id: '512'
abstract:
- lang: eng
  text: 'The fixation probability is the probability that a new mutant introduced
    in a homogeneous population eventually takes over the entire population. The fixation
    probability is a fundamental quantity of natural selection, and known to depend
    on the population structure. Amplifiers of natural selection are population structures
    which increase the fixation probability of advantageous mutants, as compared to
    the baseline case of well-mixed populations. In this work we focus on symmetric
    population structures represented as undirected graphs. In the regime of undirected
    graphs, the strongest amplifier known has been the Star graph, and the existence
    of undirected graphs with stronger amplification properties has remained open
    for over a decade. In this work we present the Comet and Comet-swarm families
    of undirected graphs. We show that for a range of fitness values of the mutants,
    the Comet and Cometswarm graphs have fixation probability strictly larger than
    the fixation probability of the Star graph, for fixed population size and at the
    limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
    population structures: Comets beat stars. <i>Scientific Reports</i>. 2017;7(1).
    doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>'
  apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2017). Amplification
    on undirected population structures: Comets beat stars. <i>Scientific Reports</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>'
  chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
    <i>Scientific Reports</i>. Nature Publishing Group, 2017. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>.'
  ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
    on undirected population structures: Comets beat stars,” <i>Scientific Reports</i>,
    vol. 7, no. 1. Nature Publishing Group, 2017.'
  ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
    undirected population structures: Comets beat stars. Scientific Reports. 7(1),
    82.'
  mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
    Comets Beat Stars.” <i>Scientific Reports</i>, vol. 7, no. 1, 82, Nature Publishing
    Group, 2017, doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>.'
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
    7 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2025-09-18T09:50:10Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
external_id:
  isi:
  - '000396867800013'
file:
- access_level: open_access
  checksum: 7d05cbdd914e194a019c0f91fb64e9a8
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:35Z
  date_updated: 2020-07-14T12:46:36Z
  file_id: '5357'
  file_name: IST-2018-938-v1+1_2017_Pavlogiannis_Amplification_on.pdf
  file_size: 1536783
  relation: main_file
file_date_updated: 2020-07-14T12:46:36Z
has_accepted_license: '1'
intvolume: '         7'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Scientific Reports
publication_identifier:
  issn:
  - 2045-2322
publication_status: published
publisher: Nature Publishing Group
publist_id: '7307'
pubrep_id: '938'
quality_controlled: '1'
related_material:
  record:
  - id: '5449'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: 'Amplification on undirected population structures: Comets beat stars'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 7
year: '2017'
...
---
_id: '5455'
abstract:
- lang: eng
  text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
    reachability. The input is a graphwhere the edges are labeled with different types
    of opening and closing parentheses, and the reachabilityinformation is computed
    via paths whose parentheses are properly matched. We present new results for Dyckreachability
    problems with applications to alias analysis and data-dependence analysis. Our
    main contributions,that include improved upper bounds as well as lower bounds
    that establish optimality guarantees, are asfollows:First, we consider Dyck reachability
    on bidirected graphs, which is the standard way of performing field-sensitive
    points-to analysis. Given a bidirected graph withnnodes andmedges, we present:
    (i) an algorithmwith worst-case running timeO(m+n·α(n)), whereα(n)is the inverse
    Ackermann function, improving thepreviously knownO(n2)time bound; (ii) a matching
    lower bound that shows that our algorithm is optimalwrt to worst-case complexity;
    and (iii) an optimal average-case upper bound ofO(m)time, improving thepreviously
    knownO(m·logn)bound.Second, we consider the problem of context-sensitive data-dependence
    analysis, where the task is to obtainanalysis summaries of library code in the
    presence of callbacks. Our algorithm preprocesses libraries in almostlinear time,
    after which the contribution of the library in the complexity of the client analysis
    is only linear,and only wrt the number of call sites.Third, we prove that combinatorial
    algorithms for Dyck reachability on general graphs with truly sub-cubic bounds
    cannot be obtained without obtaining sub-cubic combinatorial algorithms for Boolean
    MatrixMultiplication, which is a long-standing open problem. Thus we establish
    that the existing combinatorialalgorithms for Dyck reachability are (conditionally)
    optimal for general graphs. We also show that the samehardness holds for graphs
    of constant treewidth.Finally, we provide a prototype implementation of our algorithms
    for both alias analysis and data-dependenceanalysis. Our experimental evaluation
    demonstrates that the new algorithms significantly outperform allexisting methods
    on the two problems, over real-world benchmarks.'
alternative_title:
- IST Austria Technical Report
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Bhavya
  full_name: Choudhary, Bhavya
  last_name: Choudhary
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Choudhary B, Pavlogiannis A. <i>Optimal Dyck Reachability for
    Data-Dependence and Alias Analysis</i>. IST Austria; 2017. doi:<a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">10.15479/AT:IST-2017-870-v1-1</a>
  apa: Chatterjee, K., Choudhary, B., &#38; Pavlogiannis, A. (2017). <i>Optimal Dyck
    reachability for data-dependence and alias analysis</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">https://doi.org/10.15479/AT:IST-2017-870-v1-1</a>
  chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. <i>Optimal
    Dyck Reachability for Data-Dependence and Alias Analysis</i>. IST Austria, 2017.
    <a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">https://doi.org/10.15479/AT:IST-2017-870-v1-1</a>.
  ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, <i>Optimal Dyck reachability
    for data-dependence and alias analysis</i>. IST Austria, 2017.
  ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
    for data-dependence and alias analysis, IST Austria, 37p.
  mla: Chatterjee, Krishnendu, et al. <i>Optimal Dyck Reachability for Data-Dependence
    and Alias Analysis</i>. IST Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:IST-2017-870-v1-1">10.15479/AT:IST-2017-870-v1-1</a>.
  short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Optimal Dyck Reachability for
    Data-Dependence and Alias Analysis, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2025-04-15T08:12:18Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-870-v1-1
file:
- access_level: open_access
  checksum: 177a84a46e3ac17e87b31534ad16a4c9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:02Z
  date_updated: 2020-07-14T12:46:59Z
  file_id: '5524'
  file_name: IST-2017-870-v1+1_main.pdf
  file_size: 960491
  relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '37'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '870'
related_material:
  record:
  - id: '10416'
    relation: later_version
    status: public
status: public
title: Optimal Dyck reachability for data-dependence and alias analysis
type: technical_report
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2017'
...
---
_id: '5456'
abstract:
- lang: eng
  text: "We present a new dynamic partial-order reduction method for stateless model
    checking of concurrent programs. A common approach for exploring program behaviors
    relies on enumerating the traces of the program, without storing the visited states
    (aka stateless exploration). As the number of distinct traces grows exponentially,
    dynamic partial-order reduction (DPOR) techniques have been successfully used
    to partition the space of traces into equivalence classes (Mazurkiewicz partitioning),
    with the goal of exploring only few representative traces from each class.\r\nWe
    introduce a new equivalence on traces under sequential consistency semantics,
    which we call the observation equivalence. Two traces are observationally equivalent
    if every read event observes the same write event in both traces. While the traditional
    Mazurkiewicz equivalence is control-centric, our new definition is data-centric.
    We show that our observation equivalence is coarser than the Mazurkiewicz equivalence,
    and in many cases even exponentially coarser. We devise a DPOR exploration of
    the trace space, called data-centric DPOR, based on the observation equivalence.\r\n1.
    For acyclic architectures, our algorithm is guaranteed to explore exactly one
    representative trace from each observation class, while spending polynomial time
    per class. Hence, our algorithm is optimal wrt the observation equivalence, and
    in several cases explores exponentially fewer traces than any enumerative method
    based on the Mazurkiewicz equivalence.\r\n2. For cyclic architectures, we consider
    an equivalence between traces which is finer than the observation equivalence;
    but coarser than the Mazurkiewicz equivalence, and in some cases is exponentially
    coarser. Our data-centric DPOR algorithm remains optimal under this trace equivalence.
    \r\nFinally, we perform a basic experimental comparison between the existing Mazurkiewicz-based
    DPOR and our data-centric DPOR on a set of academic benchmarks. Our results show
    a significant reduction in both running time and the number of explored equivalence
    classes."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Marek
  full_name: Chalupa, Marek
  last_name: Chalupa
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Nishant
  full_name: Sinha, Nishant
  last_name: Sinha
- first_name: Kapil
  full_name: Vaidya, Kapil
  last_name: Vaidya
citation:
  ama: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. <i>Data-Centric
    Dynamic Partial Order Reduction</i>. IST Austria; 2017. doi:<a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">10.15479/AT:IST-2017-872-v1-1</a>
  apa: Chalupa, M., Chatterjee, K., Pavlogiannis, A., Sinha, N., &#38; Vaidya, K.
    (2017). <i>Data-centric dynamic partial order reduction</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">https://doi.org/10.15479/AT:IST-2017-872-v1-1</a>
  chicago: Chalupa, Marek, Krishnendu Chatterjee, Andreas Pavlogiannis, Nishant Sinha,
    and Kapil Vaidya. <i>Data-Centric Dynamic Partial Order Reduction</i>. IST Austria,
    2017. <a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">https://doi.org/10.15479/AT:IST-2017-872-v1-1</a>.
  ieee: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, and K. Vaidya, <i>Data-centric
    dynamic partial order reduction</i>. IST Austria, 2017.
  ista: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. 2017. Data-centric
    dynamic partial order reduction, IST Austria, 36p.
  mla: Chalupa, Marek, et al. <i>Data-Centric Dynamic Partial Order Reduction</i>.
    IST Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:IST-2017-872-v1-1">10.15479/AT:IST-2017-872-v1-1</a>.
  short: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, K. Vaidya, Data-Centric
    Dynamic Partial Order Reduction, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2025-05-20T09:45:08Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-872-v1-1
file:
- access_level: open_access
  checksum: d2635c4cf013000f0a1b09e80f9e4ab7
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:26Z
  date_updated: 2020-07-14T12:46:59Z
  file_id: '5487'
  file_name: IST-2017-872-v1+1_main.pdf
  file_size: 910347
  relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '36'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '872'
related_material:
  record:
  - id: '5448'
    relation: earlier_version
    status: public
  - id: '10417'
    relation: later_version
    status: public
status: public
title: Data-centric dynamic partial order reduction
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '551'
abstract:
- lang: eng
  text: 'Evolutionary graph theory studies the evolutionary dynamics in a population
    structure given as a connected graph. Each node of the graph represents an individual
    of the population, and edges determine how offspring are placed. We consider the
    classical birth-death Moran process where there are two types of individuals,
    namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates
    the reproductive strength. The evolutionary dynamics happens as follows: in the
    initial step, in a population of all resident individuals a mutant is introduced,
    and then at each step, an individual is chosen proportional to the fitness of
    its type to reproduce, and the offspring replaces a neighbor uniformly at random.
    The process stops when all individuals are either residents or mutants. The probability
    that all individuals in the end are mutants is called the fixation probability,
    which is a key factor in the rate of evolution. We consider the problem of approximating
    the fixation probability. The class of algorithms that is extremely relevant for
    approximation of the fixation probabilities is the Monte-Carlo simulation of the
    process. Previous results present a polynomial-time Monte-Carlo algorithm for
    undirected graphs when r is given in unary. First, we present a simple modification:
    instead of simulating each step, we discard ineffective steps, where no node changes
    type (i.e., either residents replace residents, or mutants replace mutants). Using
    the above simple modification and our result that the number of effective steps
    is concentrated around the expected number of effective steps, we present faster
    polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are
    always at least a factor O(n2/ log n) faster as compared to the previous algorithms,
    where n is the number of nodes, and is polynomial even if r is given in binary.
    We also present lower bounds showing that the upper bound on the expected number
    of effective steps we present is asymptotically tight for undirected graphs. '
alternative_title:
- LIPIcs
article_number: '61'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation
    probability of the Moran process on undirected graphs. In: <i>Leibniz International
    Proceedings in Informatics</i>. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">10.4230/LIPIcs.MFCS.2017.61</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., &#38; Nowak, M. (2017). Faster Monte Carlo
    algorithms for fixation probability of the Moran process on undirected graphs.
    In <i>Leibniz International Proceedings in Informatics</i> (Vol. 83). Aalborg,
    Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">https://doi.org/10.4230/LIPIcs.MFCS.2017.61</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster
    Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected
    Graphs.” In <i>Leibniz International Proceedings in Informatics</i>, Vol. 83.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">https://doi.org/10.4230/LIPIcs.MFCS.2017.61</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms
    for fixation probability of the Moran process on undirected graphs,” in <i>Leibniz
    International Proceedings in Informatics</i>, Aalborg, Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms
    for fixation probability of the Moran process on undirected graphs. Leibniz International
    Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science,
    LIPIcs, vol. 83, 61.'
  mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation
    Probability of the Moran Process on Undirected Graphs.” <i>Leibniz International
    Proceedings in Informatics</i>, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.61">10.4230/LIPIcs.MFCS.2017.61</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-07-10T11:52:51Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.61
file:
- access_level: open_access
  checksum: 2eed5224c0e4e259484a1d71acb8ba6a
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:04Z
  date_updated: 2020-07-14T12:47:00Z
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  file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
  file_size: 535077
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file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
  on undirected graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '552'
abstract:
- lang: eng
  text: 'Graph games provide the foundation for modeling and synthesis of reactive
    processes. Such games are played over graphs where the vertices are controlled
    by two adversarial players. We consider graph games where the objective of the
    first player is the conjunction of a qualitative objective (specified as a parity
    condition) and a quantitative objective (specified as a meanpayoff condition).
    There are two variants of the problem, namely, the threshold problem where the
    quantitative goal is to ensure that the mean-payoff value is above a threshold,
    and the value problem where the quantitative goal is to ensure the optimal mean-payoff
    value; in both cases ensuring the qualitative parity objective. The previous best-known
    algorithms for game graphs with n vertices, m edges, parity objectives with d
    priorities, and maximal absolute reward value W for mean-payoff objectives, are
    as follows: O(nd+1 . m . w) for the threshold problem, and O(nd+2 · m · W) for
    the value problem. Our main contributions are faster algorithms, and the running
    times of our algorithms are as follows: O(nd-1 · m ·W) for the threshold problem,
    and O(nd · m · W · log(n · W)) for the value problem. For mean-payoff parity objectives
    with two priorities, our algorithms match the best-known bounds of the algorithms
    for mean-payoff games (without conjunction with parity objectives). Our results
    are relevant in synthesis of reactive systems with both functional requirement
    (given as a qualitative objective) and performance requirement (given as a quantitative
    objective).'
alternative_title:
- LIPIcs
article_number: '39'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Chatterjee K, Henzinger M, Svozil A. Faster algorithms for mean-payoff parity
    games. In: <i>Leibniz International Proceedings in Informatics</i>. Vol 83. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">10.4230/LIPIcs.MFCS.2017.39</a>'
  apa: 'Chatterjee, K., Henzinger, M., &#38; Svozil, A. (2017). Faster algorithms
    for mean-payoff parity games. In <i>Leibniz International Proceedings in Informatics</i>
    (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">https://doi.org/10.4230/LIPIcs.MFCS.2017.39</a>'
  chicago: Chatterjee, Krishnendu, Monika Henzinger, and Alexander Svozil. “Faster
    Algorithms for Mean-Payoff Parity Games.” In <i>Leibniz International Proceedings
    in Informatics</i>, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">https://doi.org/10.4230/LIPIcs.MFCS.2017.39</a>.
  ieee: K. Chatterjee, M. Henzinger, and A. Svozil, “Faster algorithms for mean-payoff
    parity games,” in <i>Leibniz International Proceedings in Informatics</i>, Aalborg,
    Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Henzinger M, Svozil A. 2017. Faster algorithms for mean-payoff
    parity games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
    Foundations of Computer Science, LIPIcs, vol. 83, 39.'
  mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Mean-Payoff Parity Games.”
    <i>Leibniz International Proceedings in Informatics</i>, vol. 83, 39, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.39">10.4230/LIPIcs.MFCS.2017.39</a>.
  short: K. Chatterjee, M. Henzinger, A. Svozil, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-07-10T11:52:52Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.39
ec_funded: 1
file:
- access_level: open_access
  checksum: c67f4866ddbfd555afef1f63ae9a8fc7
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:16:57Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '5248'
  file_name: IST-2018-923-v1+1_LIPIcs-MFCS-2017-39.pdf
  file_size: 610339
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7262'
pubrep_id: '923'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for mean-payoff parity games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
  name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
  short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '553'
abstract:
- lang: eng
  text: 'We consider two player, zero-sum, finite-state concurrent reachability games,
    played for an infinite number of rounds, where in every round, each player simultaneously
    and independently of the other players chooses an action, whereafter the successor
    state is determined by a probability distribution given by the current state and
    the chosen actions. Player 1 wins iff a designated goal state is eventually visited.
    We are interested in the complexity of stationary strategies measured by their
    patience, which is defined as the inverse of the smallest non-zero probability
    employed. Our main results are as follows: We show that: (i) the optimal bound
    on the patience of optimal and -optimal strategies, for both players is doubly
    exponential; and (ii) even in games with a single non-absorbing state exponential
    (in the number of actions) patience is necessary. '
alternative_title:
- LIPIcs
article_number: '55'
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: Kristofer
  full_name: Hansen, Kristofer
  last_name: Hansen
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
citation:
  ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent
    safety games. In: <i>Leibniz International Proceedings in Informatics</i>. Vol
    83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">10.4230/LIPIcs.MFCS.2017.55</a>'
  apa: 'Chatterjee, K., Hansen, K., &#38; Ibsen-Jensen, R. (2017). Strategy complexity
    of concurrent safety games. In <i>Leibniz International Proceedings in Informatics</i>
    (Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">https://doi.org/10.4230/LIPIcs.MFCS.2017.55</a>'
  chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy
    Complexity of Concurrent Safety Games.” In <i>Leibniz International Proceedings
    in Informatics</i>, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2017. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">https://doi.org/10.4230/LIPIcs.MFCS.2017.55</a>.
  ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent
    safety games,” in <i>Leibniz International Proceedings in Informatics</i>, Aalborg,
    Denmark, 2017, vol. 83.
  ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent
    safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
    Foundations of Computer Science, LIPIcs, vol. 83, 55.'
  mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.”
    <i>Leibniz International Proceedings in Informatics</i>, vol. 83, 55, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2017.55">10.4230/LIPIcs.MFCS.2017.55</a>.
  short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings
    in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
  end_date: 2017-08-25
  location: Aalborg, Denmark
  name: 'MFCS: Mathematical Foundations of Computer Science'
  start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-06-04T09:37:06Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.55
external_id:
  arxiv:
  - '1506.02434'
file:
- access_level: open_access
  checksum: 7101facb56ade363205c695d72dbd173
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:09:29Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '4753'
  file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf
  file_size: 549967
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1506.02434
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7261'
pubrep_id: '922'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strategy complexity of concurrent safety games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '5559'
abstract:
- lang: eng
  text: Strong amplifiers of natural selection
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak , Martin
  last_name: 'Nowak '
citation:
  ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. Strong amplifiers of natural
    selection. 2017. doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>
  apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak , M. (2017). Strong
    amplifiers of natural selection. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>
  chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak . “Strong Amplifiers of Natural Selection.” Institute of Science and Technology
    Austria, 2017. <a href="https://doi.org/10.15479/AT:ISTA:51">https://doi.org/10.15479/AT:ISTA:51</a>.
  ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak , “Strong amplifiers
    of natural selection.” Institute of Science and Technology Austria, 2017.
  ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak  M. 2017. Strong amplifiers
    of natural selection, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  mla: Pavlogiannis, Andreas, et al. <i>Strong Amplifiers of Natural Selection</i>.
    Institute of Science and Technology Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:ISTA:51">10.15479/AT:ISTA:51</a>.
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak , (2017).
datarep_id: '51'
date_created: 2018-12-12T12:31:32Z
date_published: 2017-01-02T00:00:00Z
date_updated: 2025-04-15T08:12:19Z
day: '02'
ddc:
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:ISTA:51
ec_funded: 1
file:
- access_level: open_access
  checksum: b427dd46a30096a1911b245640c47af8
  content_type: video/mp4
  creator: system
  date_created: 2018-12-12T13:05:18Z
  date_updated: 2020-07-14T12:47:02Z
  file_id: '5644'
  file_name: IST-2017-51-v1+2_illustration.mp4
  file_size: 32987015
  relation: main_file
file_date_updated: 2020-07-14T12:47:02Z
has_accepted_license: '1'
keyword:
- natural selection
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publisher: Institute of Science and Technology Austria
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    relation: research_paper
    status: public
  - id: '5751'
    relation: research_paper
    status: public
status: public
title: Strong amplifiers of natural selection
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '625'
abstract:
- lang: eng
  text: In the analysis of reactive systems a quantitative objective assigns a real
    value to every trace of the system. The value decision problem for a quantitative
    objective requires a trace whose value is at least a given threshold, and the
    exact value decision problem requires a trace whose value is exactly the threshold.
    We compare the computational complexity of the value and exact value decision
    problems for classical quantitative objectives, such as sum, discounted sum, energy,
    and mean-payoff for two standard models of reactive systems, namely, graphs and
    graph games.
acknowledgement: 'This research was supported in part by the Austrian Science Fund
  (FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein
  Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund
  (WWTF) through project ICT15-003.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Chatterjee K, Doyen L, Henzinger TA. The cost of exactness in quantitative
    reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds.
    <i>Models, Algorithms, Logics and Tools</i>. Vol 10460. Theoretical Computer Science
    and General Issues. Springer; 2017:367-381. doi:<a href="https://doi.org/10.1007/978-3-319-63121-9_18">10.1007/978-3-319-63121-9_18</a>'
  apa: Chatterjee, K., Doyen, L., &#38; Henzinger, T. A. (2017). The cost of exactness
    in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay,
    &#38; R. Mardare (Eds.), <i>Models, Algorithms, Logics and Tools</i> (Vol. 10460,
    pp. 367–381). Springer. <a href="https://doi.org/10.1007/978-3-319-63121-9_18">https://doi.org/10.1007/978-3-319-63121-9_18</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost
    of Exactness in Quantitative Reachability.” In <i>Models, Algorithms, Logics and
    Tools</i>, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay,
    and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues.
    Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-63121-9_18">https://doi.org/10.1007/978-3-319-63121-9_18</a>.
  ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative
    reachability,” in <i>Models, Algorithms, Logics and Tools</i>, vol. 10460, L.
    Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017,
    pp. 367–381.
  ista: 'Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative
    reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.'
  mla: Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.”
    <i>Models, Algorithms, Logics and Tools</i>, edited by Luca Aceto et al., vol.
    10460, Springer, 2017, pp. 367–81, doi:<a href="https://doi.org/10.1007/978-3-319-63121-9_18">10.1007/978-3-319-63121-9_18</a>.
  short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir,
    A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017,
    pp. 367–381.
date_created: 2018-12-11T11:47:34Z
date_published: 2017-07-25T00:00:00Z
date_updated: 2025-04-15T06:26:15Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-63121-9_18
ec_funded: 1
editor:
- first_name: Luca
  full_name: Aceto, Luca
  last_name: Aceto
- first_name: Giorgio
  full_name: Bacci, Giorgio
  last_name: Bacci
- first_name: Anna
  full_name: Ingólfsdóttir, Anna
  last_name: Ingólfsdóttir
- first_name: Axel
  full_name: Legay, Axel
  last_name: Legay
- first_name: Radu
  full_name: Mardare, Radu
  last_name: Mardare
file:
- access_level: open_access
  checksum: b2402766ec02c79801aac634bd8f9f6c
  content_type: application/pdf
  creator: dernst
  date_created: 2019-11-19T08:06:50Z
  date_updated: 2020-07-14T12:47:25Z
  file_id: '7048'
  file_name: 2017_ModelsAlgorithms_Chatterjee.pdf
  file_size: 192826
  relation: main_file
file_date_updated: 2020-07-14T12:47:25Z
has_accepted_license: '1'
intvolume: '     10460'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 367 - 381
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Models, Algorithms, Logics and Tools
publication_identifier:
  isbn:
  - 978-3-319-63120-2
  issn:
  - 0302-9743
publication_status: published
publisher: Springer
publist_id: '7170'
quality_controlled: '1'
scopus_import: '1'
series_title: Theoretical Computer Science and General Issues
status: public
title: The cost of exactness in quantitative reachability
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10460
year: '2017'
...
---
_id: '628'
abstract:
- lang: eng
  text: We consider the problem of developing automated techniques for solving recurrence
    relations to aid the expected-runtime analysis of programs. The motivation is
    that several classical textbook algorithms have quite efficient expected-runtime
    complexity, whereas the corresponding worst-case bounds are either inefficient
    (e.g., Quick-Sort), or completely ineffective (e.g., Coupon-Collector). Since
    the main focus of expected-runtime analysis is to obtain efficient bounds, we
    consider bounds that are either logarithmic, linear or almost-linear (O(log n),
    O(n), O(n · log n), respectively, where n represents the input size). Our main
    contribution is an efficient (simple linear-time algorithm) sound approach for
    deriving such expected-runtime bounds for the analysis of recurrence relations
    induced by randomized algorithms. The experimental results show that our approach
    can efficiently derive asymptotically optimal expected-runtime bounds for recurrences
    of classical randomized algorithms, including Randomized-Search, Quick-Sort, Quick-Select,
    Coupon-Collector, where the worst-case bounds are either inefficient (such as
    linear as compared to logarithmic expected-runtime complexity, or quadratic as
    compared to linear or almost-linear expected-runtime complexity), or ineffective.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Aniket
  full_name: Murhekar, Aniket
  last_name: Murhekar
citation:
  ama: 'Chatterjee K, Fu H, Murhekar A. Automated recurrence analysis for almost linear
    expected runtime bounds. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:118-139.
    doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_6">10.1007/978-3-319-63387-9_6</a>'
  apa: 'Chatterjee, K., Fu, H., &#38; Murhekar, A. (2017). Automated recurrence analysis
    for almost linear expected runtime bounds. In R. Majumdar &#38; V. Kunčak (Eds.)
    (Vol. 10426, pp. 118–139). Presented at the CAV: Computer Aided Verification,
    Heidelberg, Germany: Springer. <a href="https://doi.org/10.1007/978-3-319-63387-9_6">https://doi.org/10.1007/978-3-319-63387-9_6</a>'
  chicago: Chatterjee, Krishnendu, Hongfei Fu, and Aniket Murhekar. “Automated Recurrence
    Analysis for Almost Linear Expected Runtime Bounds.” edited by Rupak Majumdar
    and Viktor Kunčak, 10426:118–39. Springer, 2017. <a href="https://doi.org/10.1007/978-3-319-63387-9_6">https://doi.org/10.1007/978-3-319-63387-9_6</a>.
  ieee: 'K. Chatterjee, H. Fu, and A. Murhekar, “Automated recurrence analysis for
    almost linear expected runtime bounds,” presented at the CAV: Computer Aided Verification,
    Heidelberg, Germany, 2017, vol. 10426, pp. 118–139.'
  ista: 'Chatterjee K, Fu H, Murhekar A. 2017. Automated recurrence analysis for almost
    linear expected runtime bounds. CAV: Computer Aided Verification, LNCS, vol. 10426,
    118–139.'
  mla: Chatterjee, Krishnendu, et al. <i>Automated Recurrence Analysis for Almost
    Linear Expected Runtime Bounds</i>. Edited by Rupak Majumdar and Viktor Kunčak,
    vol. 10426, Springer, 2017, pp. 118–39, doi:<a href="https://doi.org/10.1007/978-3-319-63387-9_6">10.1007/978-3-319-63387-9_6</a>.
  short: K. Chatterjee, H. Fu, A. Murhekar, in:, R. Majumdar, V. Kunčak (Eds.), Springer,
    2017, pp. 118–139.
conference:
  end_date: 2017-07-28
  location: Heidelberg, Germany
  name: 'CAV: Computer Aided Verification'
  start_date: 2017-07-24
date_created: 2018-12-11T11:47:35Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-09-11T07:28:26Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63387-9_6
ec_funded: 1
editor:
- first_name: Rupak
  full_name: Majumdar, Rupak
  last_name: Majumdar
- first_name: Viktor
  full_name: Kunčak, Viktor
  last_name: Kunčak
external_id:
  arxiv:
  - '1705.00314'
  isi:
  - '000432196400006'
intvolume: '     10426'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1705.00314
month: '01'
oa: 1
oa_version: Submitted Version
page: 118 - 139
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
  isbn:
  - 978-331963386-2
publication_status: published
publisher: Springer
publist_id: '7166'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Automated recurrence analysis for almost linear expected runtime bounds
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10426
year: '2017'
...
---
_id: '1009'
abstract:
- lang: eng
  text: A standard objective in partially-observable Markov decision processes (POMDPs)
    is to find a policy that maximizes the expected discounted-sum payoff. However,
    such policies may still permit unlikely but highly undesirable outcomes, which
    is problematic especially in safety-critical applications. Recently, there has
    been a surge of interest in POMDPs where the goal is to maximize the probability
    to ensure that the payoff is at least a given threshold, but these approaches
    do not consider any optimization beyond satisfying this threshold constraint.
    In this work we go beyond both the “expectation” and “threshold” approaches and
    consider a “guaranteed payoff optimization (GPO)” problem for POMDPs, where we
    are given a threshold t and the objective is to find a policy σ such that a) each
    possible outcome of σ yields a discounted-sum payoff of at least t, and b) the
    expected discounted-sum payoff of σ is optimal (or near-optimal) among all policies
    satisfying a). We present a practical approach to tackle the GPO problem and evaluate
    it on standard POMDP benchmarks.
acknowledgement: 'he research leading to these results was supported by the Austrian
  Science Fund (FWF) NFN Grant no. S11407-N23 (RiSE/SHiNE); two ERC Starting grants
  (279307: Graph Games, 279499: inVEST); the Vienna Science and Tech- nology Fund
  (WWTF) through project ICT15-003; and the People Programme (Marie Curie Actions)
  of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant
  agreement no. [291734].'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Petr
  full_name: Novotny, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotny
- first_name: Guillermo
  full_name: Pérez, Guillermo
  last_name: Pérez
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
- first_name: Djordje
  full_name: Zikelic, Djordje
  last_name: Zikelic
citation:
  ama: 'Chatterjee K, Novotný P, Pérez G, Raskin J, Zikelic D. Optimizing expectation
    with guarantees in POMDPs. In: <i>Proceedings of the 31st AAAI Conference on Artificial
    Intelligence</i>. Vol 5. AAAI Press; 2017:3725-3732.'
  apa: 'Chatterjee, K., Novotný, P., Pérez, G., Raskin, J., &#38; Zikelic, D. (2017).
    Optimizing expectation with guarantees in POMDPs. In <i>Proceedings of the 31st
    AAAI Conference on Artificial Intelligence</i> (Vol. 5, pp. 3725–3732). San Francisco,
    CA, United States: AAAI Press.'
  chicago: Chatterjee, Krishnendu, Petr Novotný, Guillermo Pérez, Jean Raskin, and
    Djordje Zikelic. “Optimizing Expectation with Guarantees in POMDPs.” In <i>Proceedings
    of the 31st AAAI Conference on Artificial Intelligence</i>, 5:3725–32. AAAI Press,
    2017.
  ieee: K. Chatterjee, P. Novotný, G. Pérez, J. Raskin, and D. Zikelic, “Optimizing
    expectation with guarantees in POMDPs,” in <i>Proceedings of the 31st AAAI Conference
    on Artificial Intelligence</i>, San Francisco, CA, United States, 2017, vol. 5,
    pp. 3725–3732.
  ista: 'Chatterjee K, Novotný P, Pérez G, Raskin J, Zikelic D. 2017. Optimizing expectation
    with guarantees in POMDPs. Proceedings of the 31st AAAI Conference on Artificial
    Intelligence. AAAI: Conference on Artificial Intelligence vol. 5, 3725–3732.'
  mla: Chatterjee, Krishnendu, et al. “Optimizing Expectation with Guarantees in POMDPs.”
    <i>Proceedings of the 31st AAAI Conference on Artificial Intelligence</i>, vol.
    5, AAAI Press, 2017, pp. 3725–32.
  short: K. Chatterjee, P. Novotný, G. Pérez, J. Raskin, D. Zikelic, in:, Proceedings
    of the 31st AAAI Conference on Artificial Intelligence, AAAI Press, 2017, pp.
    3725–3732.
conference:
  end_date: 2017-02-10
  location: San Francisco, CA, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2017-02-04
date_created: 2018-12-11T11:49:40Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-04-14T13:51:03Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
external_id:
  isi:
  - '000485630703107'
intvolume: '         5'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.aaai.org/ocs/index.php/AAAI/AAAI17/paper/download/14354/14092
month: '01'
oa: 1
oa_version: Submitted Version
page: 3725 - 3732
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 31st AAAI Conference on Artificial Intelligence
publication_status: published
publisher: AAAI Press
publist_id: '6387'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimizing expectation with guarantees in POMDPs
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 5
year: '2017'
...
---
_id: '1011'
abstract:
- lang: eng
  text: Pushdown systems (PDSs) and recursive state machines (RSMs), which are linearly
    equivalent, are standard models for interprocedural analysis. Yet RSMs are more
    convenient as they (a) explicitly model function calls and returns, and (b) specify
    many natural parameters for algorithmic analysis, e.g., the number of entries
    and exits. We consider a general framework where RSM transitions are labeled from
    a semiring and path properties are algebraic with semiring operations, which can
    model, e.g., interprocedural reachability and dataflow analysis problems. Our
    main contributions are new algorithms for several fundamental problems. As compared
    to a direct translation of RSMs to PDSs and the best-known existing bounds of
    PDSs, our analysis algorithm improves the complexity for finite-height semirings
    (that subsumes reachability and standard dataflow properties). We further consider
    the problem of extracting distance values from the representation structures computed
    by our algorithm, and give efficient algorithms that distinguish the complexity
    of a one-time preprocessing from the complexity of each individual query. Another
    advantage of our algorithm is that our improvements carry over to the concurrent
    setting, where we improve the bestknown complexity for the context-bounded analysis
    of concurrent RSMs. Finally, we provide a prototype implementation that gives
    a significant speed-up on several benchmarks from the SLAM/SDV project.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Bernhard
  full_name: Kragl, Bernhard
  id: 320FC952-F248-11E8-B48F-1D18A9856A87
  last_name: Kragl
  orcid: 0000-0001-7745-9117
- first_name: Samarth
  full_name: Mishra, Samarth
  last_name: Mishra
- 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, Kragl B, Mishra S, Pavlogiannis A. Faster algorithms for weighted
    recursive state machines. In: Yang H, ed. Vol 10201. Springer; 2017:287-313. doi:<a
    href="https://doi.org/10.1007/978-3-662-54434-1_11">10.1007/978-3-662-54434-1_11</a>'
  apa: 'Chatterjee, K., Kragl, B., Mishra, S., &#38; Pavlogiannis, A. (2017). Faster
    algorithms for weighted recursive state machines. In H. Yang (Ed.) (Vol. 10201,
    pp. 287–313). Presented at the ESOP: European Symposium on Programming, Uppsala,
    Sweden: Springer. <a href="https://doi.org/10.1007/978-3-662-54434-1_11">https://doi.org/10.1007/978-3-662-54434-1_11</a>'
  chicago: Chatterjee, Krishnendu, Bernhard Kragl, Samarth Mishra, and Andreas Pavlogiannis.
    “Faster Algorithms for Weighted Recursive State Machines.” edited by Hongseok
    Yang, 10201:287–313. Springer, 2017. <a href="https://doi.org/10.1007/978-3-662-54434-1_11">https://doi.org/10.1007/978-3-662-54434-1_11</a>.
  ieee: 'K. Chatterjee, B. Kragl, S. Mishra, and A. Pavlogiannis, “Faster algorithms
    for weighted recursive state machines,” presented at the ESOP: European Symposium
    on Programming, Uppsala, Sweden, 2017, vol. 10201, pp. 287–313.'
  ista: 'Chatterjee K, Kragl B, Mishra S, Pavlogiannis A. 2017. Faster algorithms
    for weighted recursive state machines. ESOP: European Symposium on Programming,
    LNCS, vol. 10201, 287–313.'
  mla: Chatterjee, Krishnendu, et al. <i>Faster Algorithms for Weighted Recursive
    State Machines</i>. Edited by Hongseok Yang, vol. 10201, Springer, 2017, pp. 287–313,
    doi:<a href="https://doi.org/10.1007/978-3-662-54434-1_11">10.1007/978-3-662-54434-1_11</a>.
  short: K. Chatterjee, B. Kragl, S. Mishra, A. Pavlogiannis, in:, H. Yang (Ed.),
    Springer, 2017, pp. 287–313.
conference:
  end_date: 2017-04-29
  location: Uppsala, Sweden
  name: 'ESOP: European Symposium on Programming'
  start_date: 2017-04-22
date_created: 2018-12-11T11:49:41Z
date_published: 2017-03-19T00:00:00Z
date_updated: 2025-06-04T08:09:18Z
day: '19'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-662-54434-1_11
ec_funded: 1
editor:
- first_name: Hongseok
  full_name: Yang, Hongseok
  last_name: Yang
external_id:
  arxiv:
  - '1701.04914'
  isi:
  - '000681702400011'
intvolume: '     10201'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1701.04914
month: '03'
oa: 1
oa_version: Submitted Version
page: 287 - 313
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
  issn:
  - 0302-9743
publication_status: published
publisher: Springer
publist_id: '6384'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for weighted recursive state machines
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10201
year: '2017'
...
---
_id: '10416'
abstract:
- lang: eng
  text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
    reachability. The input is a graph where the edges are labeled with different
    types of opening and closing parentheses, and the reachability information is
    computed via paths whose parentheses are properly matched. We present new results
    for Dyck reachability problems with applications to alias analysis and data-dependence
    analysis. Our main contributions, that include improved upper bounds as well as
    lower bounds that establish optimality guarantees, are as follows: First, we consider
    Dyck reachability on bidirected graphs, which is the standard way of performing
    field-sensitive points-to analysis. Given a bidirected graph with n nodes and
    m edges, we present: (i) an algorithm with worst-case running time O(m + n · α(n)),
    where α(n) is the inverse Ackermann function, improving the previously known O(n2)
    time bound; (ii) a matching lower bound that shows that our algorithm is optimal
    wrt to worst-case complexity; and (iii) an optimal average-case upper bound of
    O(m) time, improving the previously known O(m · logn) bound. Second, we consider
    the problem of context-sensitive data-dependence analysis, where the task is to
    obtain analysis summaries of library code in the presence of callbacks. Our algorithm
    preprocesses libraries in almost linear time, after which the contribution of
    the library in the complexity of the client analysis is only linear, and only
    wrt the number of call sites. Third, we prove that combinatorial algorithms for
    Dyck reachability on general graphs with truly sub-cubic bounds cannot be obtained
    without obtaining sub-cubic combinatorial algorithms for Boolean Matrix Multiplication,
    which is a long-standing open problem. Thus we establish that the existing combinatorial
    algorithms for Dyck reachability are (conditionally) optimal for general graphs.
    We also show that the same hardness holds for graphs of constant treewidth. Finally,
    we provide a prototype implementation of our algorithms for both alias analysis
    and data-dependence analysis. Our experimental evaluation demonstrates that the
    new algorithms significantly outperform all existing methods on the two problems,
    over real-world benchmarks.'
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).\r\n"
article_number: '30'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Bhavya
  full_name: Choudhary, Bhavya
  last_name: Choudhary
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Choudhary B, Pavlogiannis A. Optimal Dyck reachability for data-dependence
    and Alias analysis. <i>Proceedings of the ACM on Programming Languages</i>. 2017;2(POPL).
    doi:<a href="https://doi.org/10.1145/3158118">10.1145/3158118</a>
  apa: 'Chatterjee, K., Choudhary, B., &#38; Pavlogiannis, A. (2017). Optimal Dyck
    reachability for data-dependence and Alias analysis. <i>Proceedings of the ACM
    on Programming Languages</i>. Los Angeles, CA, United States: Association for
    Computing Machinery. <a href="https://doi.org/10.1145/3158118">https://doi.org/10.1145/3158118</a>'
  chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. “Optimal
    Dyck Reachability for Data-Dependence and Alias Analysis.” <i>Proceedings of the
    ACM on Programming Languages</i>. Association for Computing Machinery, 2017. <a
    href="https://doi.org/10.1145/3158118">https://doi.org/10.1145/3158118</a>.
  ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, “Optimal Dyck reachability
    for data-dependence and Alias analysis,” <i>Proceedings of the ACM on Programming
    Languages</i>, vol. 2, no. POPL. Association for Computing Machinery, 2017.
  ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
    for data-dependence and Alias analysis. Proceedings of the ACM on Programming
    Languages. 2(POPL), 30.
  mla: Chatterjee, Krishnendu, et al. “Optimal Dyck Reachability for Data-Dependence
    and Alias Analysis.” <i>Proceedings of the ACM on Programming Languages</i>, vol.
    2, no. POPL, 30, Association for Computing Machinery, 2017, doi:<a href="https://doi.org/10.1145/3158118">10.1145/3158118</a>.
  short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Proceedings of the ACM on Programming
    Languages 2 (2017).
conference:
  end_date: 2018-01-13
  location: Los Angeles, CA, United States
  name: 'POPL: Programming Languages'
  start_date: 2018-01-07
corr_author: '1'
date_created: 2021-12-05T23:01:48Z
date_published: 2017-12-27T00:00:00Z
date_updated: 2025-04-15T07:26:20Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3158118
ec_funded: 1
external_id:
  arxiv:
  - '1910.00241'
file:
- access_level: open_access
  checksum: faa3f7b3fe8aab84b50ed805c26a0ee5
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-12-07T08:06:28Z
  date_updated: 2021-12-07T08:06:28Z
  file_id: '10421'
  file_name: 2017_ACMProgLang_Chatterjee.pdf
  file_size: 460188
  relation: main_file
  success: 1
file_date_updated: 2021-12-07T08:06:28Z
has_accepted_license: '1'
intvolume: '         2'
issue: POPL
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _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
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
  eissn:
  - 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
  record:
  - id: '5455'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Optimal Dyck reachability for data-dependence and Alias analysis
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 2
year: '2017'
...
---
_id: '10418'
abstract:
- lang: eng
  text: We present a new proof rule for proving almost-sure termination of probabilistic
    programs, including those that contain demonic non-determinism. An important question
    for a probabilistic program is whether the probability mass of all its diverging
    runs is zero, that is that it terminates "almost surely". Proving that can be
    hard, and this paper presents a new method for doing so. It applies directly to
    the program's source code, even if the program contains demonic choice. Like others,
    we use variant functions (a.k.a. "super-martingales") that are real-valued and
    decrease randomly on each loop iteration; but our key innovation is that the amount
    as well as the probability of the decrease are parametric. We prove the soundness
    of the new rule, indicate where its applicability goes beyond existing rules,
    and explain its connection to classical results on denumerable (non-demonic) Markov
    chains.
acknowledgement: "McIver and Morgan are grateful to David Basin and the Information
  Security Group at ETH Zürich for hosting a six-month stay in Switzerland, during
  part of which this work began. And thanks particularly to Andreas Lochbihler, who
  shared with us the probabilistic termination problem that led to it. They acknowledge
  the support of ARC grant DP140101119. Part of this work was carried out during the
  Workshop on Probabilistic Programming Semantics\r\nat McGill University’s Bellairs
  Research Institute on Barbados organised by Alexandra Silva and\r\nPrakash Panangaden.
  Kaminski and Katoen are grateful to Sebastian Junges for spotting a flaw in §5.4."
article_number: '33'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Annabelle
  full_name: Mciver, Annabelle
  last_name: Mciver
- first_name: Carroll
  full_name: Morgan, Carroll
  last_name: Morgan
- first_name: Benjamin Lucien
  full_name: Kaminski, Benjamin Lucien
  last_name: Kaminski
- first_name: Joost P
  full_name: Katoen, Joost P
  id: 4524F760-F248-11E8-B48F-1D18A9856A87
  last_name: Katoen
  orcid: 0000-0002-6143-1926
citation:
  ama: Mciver A, Morgan C, Kaminski BL, Katoen JP. A new proof rule for almost-sure
    termination. <i>Proceedings of the ACM on Programming Languages</i>. 2017;2(POPL).
    doi:<a href="https://doi.org/10.1145/3158121">10.1145/3158121</a>
  apa: 'Mciver, A., Morgan, C., Kaminski, B. L., &#38; Katoen, J. P. (2017). A new
    proof rule for almost-sure termination. <i>Proceedings of the ACM on Programming
    Languages</i>. Los Angeles, CA, United States: Association for Computing Machinery.
    <a href="https://doi.org/10.1145/3158121">https://doi.org/10.1145/3158121</a>'
  chicago: Mciver, Annabelle, Carroll Morgan, Benjamin Lucien Kaminski, and Joost
    P Katoen. “A New Proof Rule for Almost-Sure Termination.” <i>Proceedings of the
    ACM on Programming Languages</i>. Association for Computing Machinery, 2017. <a
    href="https://doi.org/10.1145/3158121">https://doi.org/10.1145/3158121</a>.
  ieee: A. Mciver, C. Morgan, B. L. Kaminski, and J. P. Katoen, “A new proof rule
    for almost-sure termination,” <i>Proceedings of the ACM on Programming Languages</i>,
    vol. 2, no. POPL. Association for Computing Machinery, 2017.
  ista: Mciver A, Morgan C, Kaminski BL, Katoen JP. 2017. A new proof rule for almost-sure
    termination. Proceedings of the ACM on Programming Languages. 2(POPL), 33.
  mla: Mciver, Annabelle, et al. “A New Proof Rule for Almost-Sure Termination.” <i>Proceedings
    of the ACM on Programming Languages</i>, vol. 2, no. POPL, 33, Association for
    Computing Machinery, 2017, doi:<a href="https://doi.org/10.1145/3158121">10.1145/3158121</a>.
  short: A. Mciver, C. Morgan, B.L. Kaminski, J.P. Katoen, Proceedings of the ACM
    on Programming Languages 2 (2017).
conference:
  end_date: 2018-01-13
  location: Los Angeles, CA, United States
  name: 'POPL: Programming Languages'
  start_date: 2018-01-07
corr_author: '1'
date_created: 2021-12-05T23:01:49Z
date_published: 2017-12-07T00:00:00Z
date_updated: 2026-06-18T08:40:04Z
day: '07'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/3158121
external_id:
  arxiv:
  - '1711.03588'
intvolume: '         2'
issue: POPL
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://dl.acm.org/doi/10.1145/3158121
month: '12'
oa: 1
oa_version: Published Version
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
  eissn:
  - 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: A new proof rule for almost-sure termination
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2017'
...
---
_id: '1065'
abstract:
- lang: eng
  text: 'We consider the problem of reachability in pushdown graphs. We study the
    problem for pushdown graphs with constant treewidth. Even for pushdown graphs
    with treewidth 1, for the reachability problem we establish the following: (i)
    the problem is PTIME-complete, and (ii) any subcubic algorithm for the problem
    would contradict the k-clique conjecture and imply faster combinatorial algorithms
    for cliques in graphs.'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Georg F
  full_name: Osang, Georg F
  id: 464B40D6-F248-11E8-B48F-1D18A9856A87
  last_name: Osang
  orcid: 0000-0002-8882-5116
citation:
  ama: Chatterjee K, Osang GF. Pushdown reachability with constant treewidth. <i>Information
    Processing Letters</i>. 2017;122:25-29. doi:<a href="https://doi.org/10.1016/j.ipl.2017.02.003">10.1016/j.ipl.2017.02.003</a>
  apa: Chatterjee, K., &#38; Osang, G. F. (2017). Pushdown reachability with constant
    treewidth. <i>Information Processing Letters</i>. Elsevier. <a href="https://doi.org/10.1016/j.ipl.2017.02.003">https://doi.org/10.1016/j.ipl.2017.02.003</a>
  chicago: Chatterjee, Krishnendu, and Georg F Osang. “Pushdown Reachability with
    Constant Treewidth.” <i>Information Processing Letters</i>. Elsevier, 2017. <a
    href="https://doi.org/10.1016/j.ipl.2017.02.003">https://doi.org/10.1016/j.ipl.2017.02.003</a>.
  ieee: K. Chatterjee and G. F. Osang, “Pushdown reachability with constant treewidth,”
    <i>Information Processing Letters</i>, vol. 122. Elsevier, pp. 25–29, 2017.
  ista: Chatterjee K, Osang GF. 2017. Pushdown reachability with constant treewidth.
    Information Processing Letters. 122, 25–29.
  mla: Chatterjee, Krishnendu, and Georg F. Osang. “Pushdown Reachability with Constant
    Treewidth.” <i>Information Processing Letters</i>, vol. 122, Elsevier, 2017, pp.
    25–29, doi:<a href="https://doi.org/10.1016/j.ipl.2017.02.003">10.1016/j.ipl.2017.02.003</a>.
  short: K. Chatterjee, G.F. Osang, Information Processing Letters 122 (2017) 25–29.
date_created: 2018-12-11T11:49:57Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2025-07-10T11:49:53Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
- _id: HeEd
doi: 10.1016/j.ipl.2017.02.003
ec_funded: 1
external_id:
  isi:
  - '000399506600005'
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:17Z
  date_updated: 2019-10-15T07:44:51Z
  file_id: '4998'
  file_name: IST-2018-991-v1+2_2018_Chatterjee_Pushdown_PREPRINT.pdf
  file_size: 247657
  relation: main_file
file_date_updated: 2019-10-15T07:44:51Z
has_accepted_license: '1'
intvolume: '       122'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 25 - 29
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Information Processing Letters
publication_identifier:
  issn:
  - 0020-0190
publication_status: published
publisher: Elsevier
publist_id: '6323'
pubrep_id: '991'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Pushdown reachability with constant treewidth
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 122
year: '2017'
...
---
OA_place: publisher
OA_type: free access
_id: '1066'
abstract:
- lang: eng
  text: "Simulation is an attractive alternative to language inclusion for automata
    as it is an under-approximation of language inclusion, but usually has much lower
    complexity. Simulation has also been extended in two orthogonal directions, namely,
    (1) fair simulation, for simulation over specified set of infinite runs; and (2)
    quantitative simulation, for simulation between weighted automata. While fair
    trace inclusion is PSPACE-complete, fair simulation can be computed in polynomial
    time. For weighted automata, the (quantitative) language inclusion problem is
    undecidable in general, whereas the (quantitative) simulation reduces to quantitative
    games, which admit pseudo-polynomial time algorithms.\r\n\r\nIn this work, we
    study (quantitative) simulation for weighted automata with Büchi acceptance conditions,
    i.e., we generalize fair simulation from non-weighted automata to weighted automata.
    We show that imposing Büchi acceptance conditions on weighted automata changes
    many fundamental properties of the simulation games, yet they still admit pseudo-polynomial
    time algorithms."
acknowledgement: This research was funded in part by the European Research Council
  (ERC) under grant agreements 267989 (QUAREM), 279307 (Graph Games), by the Austrian
  Science Fund (FWF) projects S11402-N23 (RiSE), S11407-N23 (RiSE), P23499-N23, and
  Microsoft faculty fellows award.
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: Chatterjee K, Henzinger TA, Otop J, Velner Y. Quantitative fair simulation
    games. <i>Information and Computation</i>. 2017;254(2):143-166. doi:<a href="https://doi.org/10.1016/j.ic.2016.10.006">10.1016/j.ic.2016.10.006</a>
  apa: Chatterjee, K., Henzinger, T. A., Otop, J., &#38; Velner, Y. (2017). Quantitative
    fair simulation games. <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2016.10.006">https://doi.org/10.1016/j.ic.2016.10.006</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Yaron Velner.
    “Quantitative Fair Simulation Games.” <i>Information and Computation</i>. Elsevier,
    2017. <a href="https://doi.org/10.1016/j.ic.2016.10.006">https://doi.org/10.1016/j.ic.2016.10.006</a>.
  ieee: K. Chatterjee, T. A. Henzinger, J. Otop, and Y. Velner, “Quantitative fair
    simulation games,” <i>Information and Computation</i>, vol. 254, no. 2. Elsevier,
    pp. 143–166, 2017.
  ista: Chatterjee K, Henzinger TA, Otop J, Velner Y. 2017. Quantitative fair simulation
    games. Information and Computation. 254(2), 143–166.
  mla: Chatterjee, Krishnendu, et al. “Quantitative Fair Simulation Games.” <i>Information
    and Computation</i>, vol. 254, no. 2, Elsevier, 2017, pp. 143–66, doi:<a href="https://doi.org/10.1016/j.ic.2016.10.006">10.1016/j.ic.2016.10.006</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, Y. Velner, Information and Computation
    254 (2017) 143–166.
corr_author: '1'
date_created: 2018-12-11T11:49:58Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2026-06-18T08:47:01Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2016.10.006
ec_funded: 1
external_id:
  isi:
  - '000402025600002'
intvolume: '       254'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.ic.2016.10.006
month: '06'
oa: 1
oa_version: Published Version
page: 143 - 166
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '267989'
  name: Quantitative Reactive Modeling
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '6322'
quality_controlled: '1'
related_material:
  record:
  - id: '5428'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Quantitative fair simulation games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 254
year: '2017'
...
