---
_id: '66'
abstract:
- lang: eng
  text: 'Crypto-currencies are digital assets designed to work as a medium of exchange,
    e.g., Bitcoin, but they are susceptible to attacks (dishonest behavior of participants).
    A framework for the analysis of attacks in crypto-currencies requires (a) modeling
    of game-theoretic aspects to analyze incentives for deviation from honest behavior;
    (b) concurrent interactions between participants; and (c) analysis of long-term
    monetary gains. Traditional game-theoretic approaches for the analysis of security
    protocols consider either qualitative temporal properties such as safety and termination,
    or the very special class of one-shot (stateless) games. However, to analyze general
    attacks on protocols for crypto-currencies, both stateful analysis and quantitative
    objectives are necessary. In this work our main contributions are as follows:
    (a) we show how a class of concurrent mean-payo games, namely ergodic games, can
    model various attacks that arise naturally in crypto-currencies; (b) we present
    the first practical implementation of algorithms for ergodic games that scales
    to model realistic problems for crypto-currencies; and (c) we present experimental
    results showing that our framework can handle games with thousands of states and
    millions of transitions.'
alternative_title:
- LIPIcs
article_number: '11'
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: Amir
  full_name: Goharshady, Amir
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- 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: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. Ergodic mean-payoff
    games for the analysis of attacks in crypto-currencies. In: Vol 118. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2018. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2018.11">10.4230/LIPIcs.CONCUR.2018.11</a>'
  apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., &#38; Velner, Y. (2018).
    Ergodic mean-payoff games for the analysis of attacks in crypto-currencies (Vol.
    118). Presented at the CONCUR: Conference on Concurrency Theory, Beijing, China:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2018.11">https://doi.org/10.4230/LIPIcs.CONCUR.2018.11</a>'
  chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
    and Yaron Velner. “Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies,”
    Vol. 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2018.11">https://doi.org/10.4230/LIPIcs.CONCUR.2018.11</a>.
  ieee: 'K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and Y. Velner, “Ergodic
    mean-payoff games for the analysis of attacks in crypto-currencies,” presented
    at the CONCUR: Conference on Concurrency Theory, Beijing, China, 2018, vol. 118.'
  ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. 2018. Ergodic mean-payoff
    games for the analysis of attacks in crypto-currencies. CONCUR: Conference on
    Concurrency Theory, LIPIcs, vol. 118, 11.'
  mla: Chatterjee, Krishnendu, et al. <i>Ergodic Mean-Payoff Games for the Analysis
    of Attacks in Crypto-Currencies</i>. Vol. 118, 11, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2018, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2018.11">10.4230/LIPIcs.CONCUR.2018.11</a>.
  short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, Y. Velner, in:, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
conference:
  end_date: 2018-09-07
  location: Beijing, China
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2018-09-04
date_created: 2018-12-11T11:44:27Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2026-07-04T22:31:08Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2018.11
ec_funded: 1
external_id:
  arxiv:
  - '1806.03108'
file:
- access_level: open_access
  checksum: 68a055b1aaa241cc38375083cf832a7d
  content_type: application/pdf
  creator: dernst
  date_created: 2018-12-17T12:08:00Z
  date_updated: 2020-07-14T12:47:34Z
  file_id: '5696'
  file_name: 2018_CONCUR_Chatterjee.pdf
  file_size: 1078309
  relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: '       118'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
  name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
    Contracts
publication_identifier:
  isbn:
  - 978-3-95977-087-3
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7988'
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Ergodic mean-payoff games for the analysis of attacks in crypto-currencies
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: 118
year: '2018'
...
---
_id: '311'
abstract:
- lang: eng
  text: 'Smart contracts are computer programs that are executed by a network of mutually
    distrusting agents, without the need of an external trusted authority. Smart contracts
    handle and transfer assets of considerable value (in the form of crypto-currency
    like Bitcoin). Hence, it is crucial that their implementation is bug-free. We
    identify the utility (or expected payoff) of interacting with such smart contracts
    as the basic and canonical quantitative property for such contracts. We present
    a framework for such quantitative analysis of smart contracts. Such a formal framework
    poses new and novel research challenges in programming languages, as it requires
    modeling of game-theoretic aspects to analyze incentives for deviation from honest
    behavior and modeling utilities which are not specified as standard temporal properties
    such as safety and termination. While game-theoretic incentives have been analyzed
    in the security community, their analysis has been restricted to the very special
    case of stateless games. However, to analyze smart contracts, stateful analysis
    is required as it must account for the different program states of the protocol.
    Our main contributions are as follows: we present (i)~a simplified programming
    language for smart contracts; (ii)~an automatic translation of the programs to
    state-based games; (iii)~an abstraction-refinement approach to solve such games;
    and (iv)~experimental results on real-world-inspired smart contracts.'
acknowledgement: 'The research was partially supported by Vienna Science and Technology
  Fund (WWTF) Project ICT15-003, Austrian Science Fund (FWF) NFN Grant No S11407-N23
  (RiSE/SHiNE), and ERC Starting grant (279307: Graph Games).'
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: Amir
  full_name: Goharshady, Amir
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Yaron
  full_name: Velner, Yaron
  last_name: Velner
citation:
  ama: 'Chatterjee K, Goharshady AK, Velner Y. Quantitative analysis of smart contracts.
    In: Vol 10801. Springer; 2018:739-767. doi:<a href="https://doi.org/10.1007/978-3-319-89884-1_26">10.1007/978-3-319-89884-1_26</a>'
  apa: 'Chatterjee, K., Goharshady, A. K., &#38; Velner, Y. (2018). Quantitative analysis
    of smart contracts (Vol. 10801, pp. 739–767). Presented at the ESOP: European
    Symposium on Programming, Thessaloniki, Greece: Springer. <a href="https://doi.org/10.1007/978-3-319-89884-1_26">https://doi.org/10.1007/978-3-319-89884-1_26</a>'
  chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Yaron Velner. “Quantitative
    Analysis of Smart Contracts,” 10801:739–67. Springer, 2018. <a href="https://doi.org/10.1007/978-3-319-89884-1_26">https://doi.org/10.1007/978-3-319-89884-1_26</a>.
  ieee: 'K. Chatterjee, A. K. Goharshady, and Y. Velner, “Quantitative analysis of
    smart contracts,” presented at the ESOP: European Symposium on Programming, Thessaloniki,
    Greece, 2018, vol. 10801, pp. 739–767.'
  ista: 'Chatterjee K, Goharshady AK, Velner Y. 2018. Quantitative analysis of smart
    contracts. ESOP: European Symposium on Programming, LNCS, vol. 10801, 739–767.'
  mla: Chatterjee, Krishnendu, et al. <i>Quantitative Analysis of Smart Contracts</i>.
    Vol. 10801, Springer, 2018, pp. 739–67, doi:<a href="https://doi.org/10.1007/978-3-319-89884-1_26">10.1007/978-3-319-89884-1_26</a>.
  short: K. Chatterjee, A.K. Goharshady, Y. Velner, in:, Springer, 2018, pp. 739–767.
conference:
  end_date: 2018-04-19
  location: Thessaloniki, Greece
  name: 'ESOP: European Symposium on Programming'
  start_date: 2018-04-16
date_created: 2018-12-11T11:45:45Z
date_published: 2018-04-01T00:00:00Z
date_updated: 2026-07-04T22:31:08Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-319-89884-1_26
ec_funded: 1
file:
- access_level: open_access
  checksum: 9c8a8338c571903b599b6ca93abd2cce
  content_type: application/pdf
  creator: dernst
  date_created: 2018-12-17T15:45:49Z
  date_updated: 2020-07-14T12:46:00Z
  file_id: '5716'
  file_name: 2018_ESOP_Chatterjee.pdf
  file_size: 1394993
  relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
intvolume: '     10801'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 739 - 767
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_status: published
publisher: Springer
publist_id: '7554'
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Quantitative analysis of smart contracts
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: 10801
year: '2018'
...
---
_id: '6340'
abstract:
- lang: eng
  text: We  present  a  secure  approach  for  maintaining  andreporting  credit  history  records  on  the  Blockchain.  Our  ap-proach  removes  third-parties  such  as  credit  reporting  agen-cies  from  the  lending  process  and  replaces  them  with  smartcontracts.  This  allows  customers  to  interact  directly  with  thelenders  or  banks  while  ensuring  the  integrity,  unmalleabilityand  privacy  of  their  credit  data.  Additionally,  each  customerhas  full  control  over  complete  or  selective  disclosure  of  hercredit
    records, eliminating the risk of privacy violations or databreaches. Moreover,
    our approach provides strong guaranteesfor the lenders as well. A lender can check
    both correctness andcompleteness of the credit data disclosed to her. This is
    the firstapproach  that  can  perform  all  credit  reporting  tasks  withouta  central  authority  or  changing  the  financial  mechanisms*.
article_processing_charge: No
arxiv: 1
author:
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Ali
  full_name: Behrouz, Ali
  last_name: Behrouz
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: 'Goharshady AK, Behrouz A, Chatterjee K. Secure Credit Reporting on the Blockchain.
    In: <i>Proceedings of the IEEE International Conference on Blockchain</i>. IEEE;
    2018:1343-1348. doi:<a href="https://doi.org/10.1109/Cybermatics_2018.2018.00231">10.1109/Cybermatics_2018.2018.00231</a>'
  apa: 'Goharshady, A. K., Behrouz, A., &#38; Chatterjee, K. (2018). Secure Credit
    Reporting on the Blockchain. In <i>Proceedings of the IEEE International Conference
    on Blockchain</i> (pp. 1343–1348). Halifax, Canada: IEEE. <a href="https://doi.org/10.1109/Cybermatics_2018.2018.00231">https://doi.org/10.1109/Cybermatics_2018.2018.00231</a>'
  chicago: Goharshady, Amir Kafshdar, Ali Behrouz, and Krishnendu Chatterjee. “Secure
    Credit Reporting on the Blockchain.” In <i>Proceedings of the IEEE International
    Conference on Blockchain</i>, 1343–48. IEEE, 2018. <a href="https://doi.org/10.1109/Cybermatics_2018.2018.00231">https://doi.org/10.1109/Cybermatics_2018.2018.00231</a>.
  ieee: A. K. Goharshady, A. Behrouz, and K. Chatterjee, “Secure Credit Reporting
    on the Blockchain,” in <i>Proceedings of the IEEE International Conference on
    Blockchain</i>, Halifax, Canada, 2018, pp. 1343–1348.
  ista: Goharshady AK, Behrouz A, Chatterjee K. 2018. Secure Credit Reporting on the
    Blockchain. Proceedings of the IEEE International Conference on Blockchain. IEEE
    International Conference on Blockchain, 1343–1348.
  mla: Goharshady, Amir Kafshdar, et al. “Secure Credit Reporting on the Blockchain.”
    <i>Proceedings of the IEEE International Conference on Blockchain</i>, IEEE, 2018,
    pp. 1343–48, doi:<a href="https://doi.org/10.1109/Cybermatics_2018.2018.00231">10.1109/Cybermatics_2018.2018.00231</a>.
  short: A.K. Goharshady, A. Behrouz, K. Chatterjee, in:, Proceedings of the IEEE
    International Conference on Blockchain, IEEE, 2018, pp. 1343–1348.
conference:
  end_date: 2018-08-03
  location: Halifax, Canada
  name: IEEE International Conference on Blockchain
  start_date: 2018-07-30
date_created: 2019-04-18T10:37:35Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2026-07-04T22:31:08Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1109/Cybermatics_2018.2018.00231
ec_funded: 1
external_id:
  arxiv:
  - '1805.09104'
  isi:
  - '000481634500196'
file:
- access_level: open_access
  checksum: b25c9bb7cf6e7e6634e692d26d41ead8
  content_type: application/pdf
  creator: akafshda
  date_created: 2019-04-18T10:36:39Z
  date_updated: 2020-07-14T12:47:27Z
  file_id: '6341'
  file_name: blockchain2018.pdf
  file_size: 624338
  relation: main_file
file_date_updated: 2020-07-14T12:47:27Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 1343-1348
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
  name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
    Contracts
- _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
publication: Proceedings of the IEEE International Conference on Blockchain
publication_identifier:
  isbn:
  - '978-1-5386-7975-3 '
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Secure Credit Reporting on the Blockchain
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2018'
...
---
_id: '6009'
abstract:
- lang: eng
  text: "We study algorithmic questions wrt algebraic path properties in concurrent
    systems, where the transitions of the system are labeled from a complete, closed
    semiring. The algebraic path properties can model dataflow analysis problems,
    the shortest path problem, and many other natural problems that arise in program
    analysis. We consider that each component of the concurrent system is a graph
    with constant treewidth, a property satisfied by the controlflow graphs of most
    programs. We allow for multiple possible queries, which arise naturally in demand
    driven dataflow analysis. The study of multiple queries allows us to consider
    the tradeoff between the resource usage of the one-time preprocessing and for
    each individual query. The traditional approach constructs the product graph of
    all components and applies the best-known graph algorithm on the product. In this
    approach, even the answer to a single query requires the transitive closure (i.e.,
    the results of all possible queries), which provides no room for tradeoff between
    preprocessing and query time.\r\nOur main contributions are algorithms that significantly
    improve the worst-case running time of the traditional approach, and provide various
    tradeoffs depending on the number of queries. For example, in a concurrent system
    of two components, the traditional approach requires hexic time in the worst case
    for answering one query as well as computing the transitive closure, whereas we
    show that with one-time preprocessing in almost cubic time, each subsequent query
    can be answered in at most linear time, and even the transitive closure can be
    computed in almost quartic time. Furthermore, we establish conditional optimality
    results showing that the worst-case running time of our algorithms cannot be improved
    without achieving major breakthroughs in graph algorithms (i.e., improving the
    worst-case bound for the shortest path problem in general graphs). Preliminary
    experimental results show that our algorithms perform favorably on several benchmarks.\r\n"
article_number: '9'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. Algorithms for
    algebraic path properties in concurrent systems of constant treewidth components.
    <i>ACM Transactions on Programming Languages and Systems</i>. 2018;40(3). doi:<a
    href="https://doi.org/10.1145/3210257">10.1145/3210257</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., &#38; Pavlogiannis, A.
    (2018). Algorithms for algebraic path properties in concurrent systems of constant
    treewidth components. <i>ACM Transactions on Programming Languages and Systems</i>.
    Association for Computing Machinery. <a href="https://doi.org/10.1145/3210257">https://doi.org/10.1145/3210257</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
    and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent
    Systems of Constant Treewidth Components.” <i>ACM Transactions on Programming
    Languages and Systems</i>. Association for Computing Machinery, 2018. <a href="https://doi.org/10.1145/3210257">https://doi.org/10.1145/3210257</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, “Algorithms
    for algebraic path properties in concurrent systems of constant treewidth components,”
    <i>ACM Transactions on Programming Languages and Systems</i>, vol. 40, no. 3.
    Association for Computing Machinery, 2018.
  ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2018. Algorithms
    for algebraic path properties in concurrent systems of constant treewidth components.
    ACM Transactions on Programming Languages and Systems. 40(3), 9.
  mla: Chatterjee, Krishnendu, et al. “Algorithms for Algebraic Path Properties in
    Concurrent Systems of Constant Treewidth Components.” <i>ACM Transactions on Programming
    Languages and Systems</i>, vol. 40, no. 3, 9, Association for Computing Machinery,
    2018, doi:<a href="https://doi.org/10.1145/3210257">10.1145/3210257</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, ACM Transactions
    on Programming Languages and Systems 40 (2018).
corr_author: '1'
date_created: 2019-02-14T14:31:52Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2026-07-04T22:31:08Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3210257
ec_funded: 1
external_id:
  arxiv:
  - '1510.07565'
  isi:
  - '000444694800001'
intvolume: '        40'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1510.07565
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
  issn:
  - 0164-0925
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
  record:
  - id: '5441'
    relation: earlier_version
    status: public
  - id: '5442'
    relation: earlier_version
    status: public
  - id: '1437'
    relation: earlier_version
    status: public
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Algorithms for algebraic path properties in concurrent systems of constant
  treewidth components
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 40
year: '2018'
...
---
_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: 2026-07-04T22:31:09Z
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: '464'
abstract:
- lang: eng
  text: The computation of the winning set for parity objectives and for Streett objectives
    in graphs as well as in game graphs are central problems in computer-aided verification,
    with application to the verification of closed systems with strong fairness conditions,
    the verification of open systems, checking interface compatibility, well-formedness
    of specifications, and the synthesis of reactive systems. We show how to compute
    the winning set on n vertices for (1) parity-3 (aka one-pair Streett) objectives
    in game graphs in time O(n5/2) and for (2) k-pair Streett objectives in graphs
    in time O(n2+nklogn). For both problems this gives faster algorithms for dense
    graphs and represents the first improvement in asymptotic running time in 15 years.
article_number: '26'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Veronika
  full_name: Loitzenbauer, Veronika
  last_name: Loitzenbauer
citation:
  ama: Chatterjee K, Henzinger M, Loitzenbauer V. Improved algorithms for parity and
    Streett objectives. <i>Logical Methods in Computer Science</i>. 2017;13(3). doi:<a
    href="https://doi.org/10.23638/LMCS-13(3:26)2017">10.23638/LMCS-13(3:26)2017</a>
  apa: Chatterjee, K., Henzinger, M., &#38; Loitzenbauer, V. (2017). Improved algorithms
    for parity and Streett objectives. <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(3:26)2017">https://doi.org/10.23638/LMCS-13(3:26)2017</a>
  chicago: Chatterjee, Krishnendu, Monika Henzinger, and Veronika Loitzenbauer. “Improved
    Algorithms for Parity and Streett Objectives.” <i>Logical Methods in Computer
    Science</i>. International Federation of Computational Logic, 2017. <a href="https://doi.org/10.23638/LMCS-13(3:26)2017">https://doi.org/10.23638/LMCS-13(3:26)2017</a>.
  ieee: K. Chatterjee, M. Henzinger, and V. Loitzenbauer, “Improved algorithms for
    parity and Streett objectives,” <i>Logical Methods in Computer Science</i>, vol.
    13, no. 3. International Federation of Computational Logic, 2017.
  ista: Chatterjee K, Henzinger M, Loitzenbauer V. 2017. Improved algorithms for parity
    and Streett objectives. Logical Methods in Computer Science. 13(3), 26.
  mla: Chatterjee, Krishnendu, et al. “Improved Algorithms for Parity and Streett
    Objectives.” <i>Logical Methods in Computer Science</i>, vol. 13, no. 3, 26, International
    Federation of Computational Logic, 2017, doi:<a href="https://doi.org/10.23638/LMCS-13(3:26)2017">10.23638/LMCS-13(3:26)2017</a>.
  short: K. Chatterjee, M. Henzinger, V. Loitzenbauer, Logical Methods in Computer
    Science 13 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-26T00:00:00Z
date_updated: 2025-09-23T09:20:52Z
day: '26'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.23638/LMCS-13(3:26)2017
ec_funded: 1
external_id:
  arxiv:
  - '1410.0833'
  isi:
  - '000419163000001'
file:
- access_level: open_access
  checksum: 12d469ae69b80361333d7dead965cf5d
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:27Z
  date_updated: 2020-07-14T12:46:32Z
  file_id: '5010'
  file_name: IST-2018-956-v1+1_2017_Chatterjee_Improved_algorithms.pdf
  file_size: 582940
  relation: main_file
file_date_updated: 2020-07-14T12:46:32Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - 1860-5974
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7357'
pubrep_id: '956'
quality_controlled: '1'
related_material:
  record:
  - id: '1661'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Improved algorithms for parity and Streett objectives
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2017'
...
---
_id: '465'
abstract:
- lang: eng
  text: 'The edit distance between two words w 1 , w 2 is the minimal number of word
    operations (letter insertions, deletions, and substitutions) necessary to transform
    w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the
    edit distance from L 1 to L 2 is the minimal number k such that for every word
    from L 1 there exists a word in L 2 with edit distance at most k . We study the
    edit distance computation problem between pushdown automata and their subclasses.
    The problem of computing edit distance to a pushdown automaton is undecidable,
    and in practice, the interesting question is to compute the edit distance from
    a pushdown automaton (the implementation, a standard model for programs with recursion)
    to a regular language (the specification). In this work, we present a complete
    picture of decidability and complexity for the following problems: (1) deciding
    whether, for a given threshold k , the edit distance from a pushdown automaton
    to a finite automaton is at most k , and (2) deciding whether the edit distance
    from a pushdown automaton to a finite automaton is finite. '
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Jan
  full_name: Otop, Jan
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown
    automata. <i>Logical Methods in Computer Science</i>. 2017;13(3). doi:<a href="https://doi.org/10.23638/LMCS-13(3:23)2017">10.23638/LMCS-13(3:23)2017</a>
  apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., &#38; Otop, J. (2017).
    Edit distance for pushdown automata. <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(3:23)2017">https://doi.org/10.23638/LMCS-13(3:23)2017</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
    Otop. “Edit Distance for Pushdown Automata.” <i>Logical Methods in Computer Science</i>.
    International Federation of Computational Logic, 2017. <a href="https://doi.org/10.23638/LMCS-13(3:23)2017">https://doi.org/10.23638/LMCS-13(3:23)2017</a>.
  ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance
    for pushdown automata,” <i>Logical Methods in Computer Science</i>, vol. 13, no.
    3. International Federation of Computational Logic, 2017.
  ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for
    pushdown automata. Logical Methods in Computer Science. 13(3).
  mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” <i>Logical
    Methods in Computer Science</i>, vol. 13, no. 3, International Federation of Computational
    Logic, 2017, doi:<a href="https://doi.org/10.23638/LMCS-13(3:23)2017">10.23638/LMCS-13(3:23)2017</a>.
  short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods
    in Computer Science 13 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-13T00:00:00Z
date_updated: 2026-04-29T06:14:48Z
day: '13'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.23638/LMCS-13(3:23)2017
ec_funded: 1
external_id:
  isi:
  - '000419163000005'
file:
- access_level: open_access
  checksum: 08041379ba408d40664f449eb5907a8f
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:37Z
  date_updated: 2020-07-14T12:46:33Z
  file_id: '5090'
  file_name: IST-2015-321-v1+1_main.pdf
  file_size: 279071
  relation: main_file
- access_level: open_access
  checksum: 08041379ba408d40664f449eb5907a8f
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:38Z
  date_updated: 2020-07-14T12:46:33Z
  file_id: '5091'
  file_name: IST-2018-955-v1+1_2017_Chatterjee_Edit_distance.pdf
  file_size: 279071
  relation: main_file
file_date_updated: 2020-07-14T12:46:33Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Moderne Concurrency Paradigms
- _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: 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: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - 1860-5974
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7356'
pubrep_id: '955'
quality_controlled: '1'
related_material:
  record:
  - id: '5438'
    relation: earlier_version
    status: public
  - id: '1610'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Edit distance for pushdown automata
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2017'
...
---
_id: '466'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with multiple limit-average
    (or mean-payoff) objectives. There exist two different views: (i) the expectation
    semantics, where the goal is to optimize the expected mean-payoff objective, and
    (ii) the satisfaction semantics, where the goal is to maximize the probability
    of runs such that the mean-payoff value stays above a given vector. We consider
    optimization with respect to both objectives at once, thus unifying the existing
    semantics. Precisely, the goal is to optimize the expectation while ensuring the
    satisfaction constraint. Our problem captures the notion of optimization with
    respect to strategies that are risk-averse (i.e., ensure certain probabilistic
    guarantee). Our main results are as follows: First, we present algorithms for
    the decision problems which are always polynomial in the size of the MDP. We also
    show that an approximation of the Pareto-curve can be computed in time polynomial
    in the size of the MDP, and the approximation factor, but exponential in the number
    of dimensions. Second, we present a complete characterization of the strategy
    complexity (in terms of memory bounds and randomization) required to solve our
    problem. '
article_number: '15'
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: Zuzana
  full_name: Křetínská, Zuzana
  last_name: Křetínská
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
citation:
  ama: Chatterjee K, Křetínská Z, Kretinsky J. Unifying two views on multiple mean-payoff
    objectives in Markov decision processes. <i>Logical Methods in Computer Science</i>.
    2017;13(2). doi:<a href="https://doi.org/10.23638/LMCS-13(2:15)2017">10.23638/LMCS-13(2:15)2017</a>
  apa: Chatterjee, K., Křetínská, Z., &#38; Kretinsky, J. (2017). Unifying two views
    on multiple mean-payoff objectives in Markov decision processes. <i>Logical Methods
    in Computer Science</i>. International Federation of Computational Logic. <a href="https://doi.org/10.23638/LMCS-13(2:15)2017">https://doi.org/10.23638/LMCS-13(2:15)2017</a>
  chicago: Chatterjee, Krishnendu, Zuzana Křetínská, and Jan Kretinsky. “Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes.” <i>Logical
    Methods in Computer Science</i>. International Federation of Computational Logic,
    2017. <a href="https://doi.org/10.23638/LMCS-13(2:15)2017">https://doi.org/10.23638/LMCS-13(2:15)2017</a>.
  ieee: K. Chatterjee, Z. Křetínská, and J. Kretinsky, “Unifying two views on multiple
    mean-payoff objectives in Markov decision processes,” <i>Logical Methods in Computer
    Science</i>, vol. 13, no. 2. International Federation of Computational Logic,
    2017.
  ista: Chatterjee K, Křetínská Z, Kretinsky J. 2017. Unifying two views on multiple
    mean-payoff objectives in Markov decision processes. Logical Methods in Computer
    Science. 13(2), 15.
  mla: Chatterjee, Krishnendu, et al. “Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes.” <i>Logical Methods in Computer Science</i>,
    vol. 13, no. 2, 15, International Federation of Computational Logic, 2017, doi:<a
    href="https://doi.org/10.23638/LMCS-13(2:15)2017">10.23638/LMCS-13(2:15)2017</a>.
  short: K. Chatterjee, Z. Křetínská, J. Kretinsky, Logical Methods in Computer Science
    13 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:38Z
date_published: 2017-07-03T00:00:00Z
date_updated: 2025-09-29T11:00:42Z
day: '03'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.23638/LMCS-13(2:15)2017
ec_funded: 1
external_id:
  isi:
  - '000419160800002'
file:
- access_level: open_access
  checksum: bfa405385ec6229ad5ead89ab5751639
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:32Z
  date_updated: 2020-07-14T12:46:33Z
  file_id: '5354'
  file_name: IST-2018-957-v1+1_2017_Chatterjee_Unifying_two.pdf
  file_size: 511832
  relation: main_file
file_date_updated: 2020-07-14T12:46:33Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
issue: '2'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2590DB08-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '701309'
  name: Atomic Resolution Structures of Mitochondrial Respiratory Chain Supercomplexes
publication: Logical Methods in Computer Science
publication_identifier:
  issn:
  - 1860-5974
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7355'
pubrep_id: '957'
quality_controlled: '1'
related_material:
  record:
  - id: '5429'
    relation: earlier_version
    status: public
  - id: '5435'
    relation: earlier_version
    status: public
  - id: '1657'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2017'
...
---
_id: '467'
abstract:
- lang: eng
  text: Recently there has been a significant effort to handle quantitative properties
    in formal verification and synthesis. While weighted automata over finite and
    infinite words provide a natural and flexible framework to express quantitative
    properties, perhaps surprisingly, some basic system properties such as average
    response time cannot be expressed using weighted automata or in any other known
    decidable formalism. In this work, we introduce nested weighted automata as a
    natural extension of weighted automata, which makes it possible to express important
    quantitative properties such as average response time. In nested weighted automata,
    a master automaton spins off and collects results from weighted slave automata,
    each of which computes a quantity along a finite portion of an infinite word.
    Nested weighted automata can be viewed as the quantitative analogue of monitor
    automata, which are used in runtime verification. We establish an almost-complete
    decidability picture for the basic decision problems about nested weighted automata
    and illustrate their applicability in several domains. In particular, nested weighted
    automata can be used to decide average response time properties.
article_number: '31'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Otop J. Nested weighted automata. <i>ACM Transactions
    on Computational Logic (TOCL)</i>. 2017;18(4). doi:<a href="https://doi.org/10.1145/3152769">10.1145/3152769</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2017). Nested weighted automata.
    <i>ACM Transactions on Computational Logic (TOCL)</i>. ACM. <a href="https://doi.org/10.1145/3152769">https://doi.org/10.1145/3152769</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted
    Automata.” <i>ACM Transactions on Computational Logic (TOCL)</i>. ACM, 2017. <a
    href="https://doi.org/10.1145/3152769">https://doi.org/10.1145/3152769</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” <i>ACM
    Transactions on Computational Logic (TOCL)</i>, vol. 18, no. 4. ACM, 2017.
  ista: Chatterjee K, Henzinger TA, Otop J. 2017. Nested weighted automata. ACM Transactions
    on Computational Logic (TOCL). 18(4), 31.
  mla: Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” <i>ACM Transactions
    on Computational Logic (TOCL)</i>, vol. 18, no. 4, 31, ACM, 2017, doi:<a href="https://doi.org/10.1145/3152769">10.1145/3152769</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, ACM Transactions on Computational
    Logic (TOCL) 18 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:38Z
date_published: 2017-12-01T00:00:00Z
date_updated: 2025-09-23T09:39:58Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/3152769
ec_funded: 1
external_id:
  arxiv:
  - '1606.03598'
  isi:
  - '000419237100006'
intvolume: '        18'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1606.03598
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: Formal methods for the design and analysis of complex systems
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: ACM Transactions on Computational Logic (TOCL)
publication_identifier:
  issn:
  - 1529-3785
publication_status: published
publisher: ACM
publist_id: '7354'
quality_controlled: '1'
related_material:
  record:
  - id: '5415'
    relation: earlier_version
    status: public
  - id: '5436'
    relation: earlier_version
    status: public
  - id: '1656'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Nested weighted automata
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 18
year: '2017'
...
---
_id: '512'
abstract:
- lang: eng
  text: 'The fixation probability is the probability that a new mutant introduced
    in a homogeneous population eventually takes over the entire population. The fixation
    probability is a fundamental quantity of natural selection, and known to depend
    on the population structure. Amplifiers of natural selection are population structures
    which increase the fixation probability of advantageous mutants, as compared to
    the baseline case of well-mixed populations. In this work we focus on symmetric
    population structures represented as undirected graphs. In the regime of undirected
    graphs, the strongest amplifier known has been the Star graph, and the existence
    of undirected graphs with stronger amplification properties has remained open
    for over a decade. In this work we present the Comet and Comet-swarm families
    of undirected graphs. We show that for a range of fitness values of the mutants,
    the Comet and Cometswarm graphs have fixation probability strictly larger than
    the fixation probability of the Star graph, for fixed population size and at the
    limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
    population structures: Comets beat stars. <i>Scientific Reports</i>. 2017;7(1).
    doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>'
  apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2017). Amplification
    on undirected population structures: Comets beat stars. <i>Scientific Reports</i>.
    Nature Publishing Group. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>'
  chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
    Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
    <i>Scientific Reports</i>. Nature Publishing Group, 2017. <a href="https://doi.org/10.1038/s41598-017-00107-w">https://doi.org/10.1038/s41598-017-00107-w</a>.'
  ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
    on undirected population structures: Comets beat stars,” <i>Scientific Reports</i>,
    vol. 7, no. 1. Nature Publishing Group, 2017.'
  ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
    undirected population structures: Comets beat stars. Scientific Reports. 7(1),
    82.'
  mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
    Comets Beat Stars.” <i>Scientific Reports</i>, vol. 7, no. 1, 82, Nature Publishing
    Group, 2017, doi:<a href="https://doi.org/10.1038/s41598-017-00107-w">10.1038/s41598-017-00107-w</a>.'
  short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
    7 (2017).
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
  file_id: '5322'
  file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
  file_size: 535077
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: '        83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
  isbn:
  - 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
  on undirected graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 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
license: https://creativecommons.org/licenses/by/3.0/
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
related_material:
  record:
  - id: '5452'
    relation: research_paper
    status: public
  - id: '5751'
    relation: research_paper
    status: public
status: public
title: Strong amplifiers of natural selection
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
