---
_id: '11402'
abstract:
- lang: eng
  text: Fixed-horizon planning considers a weighted graph and asks to construct a
    path that maximizes the sum of weights for a given time horizon T. However, in
    many scenarios, the time horizon is not fixed, but the stopping time is chosen
    according to some distribution such that the expected stopping time is T. If the
    stopping-time distribution is not known, then to ensure robustness, the distribution
    is chosen by an adversary as the worst-case scenario. A stationary plan for every
    vertex always chooses the same outgoing edge. For fixed horizon or fixed stopping-time
    distribution, stationary plans are not sufficient for optimality. Quite surprisingly
    we show that when an adversary chooses the stopping-time distribution with expected
    stopping-time T, then stationary plans are sufficient. While computing optimal
    stationary plans for fixed horizon is NP-complete, we show that computing optimal
    stationary plans under adversarial stopping-time distribution can be achieved
    in polynomial time.
acknowledgement: This work was partially supported by Austrian Science Fund (FWF)
  NFN Grant No RiSE/SHiNE S11407 and by the grant ERC CoG 863818 (ForM-SMArt).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: Chatterjee K, Doyen L. Graph planning with expected finite horizon. <i>Journal
    of Computer and System Sciences</i>. 2022;129:1-21. doi:<a href="https://doi.org/10.1016/j.jcss.2022.04.003">10.1016/j.jcss.2022.04.003</a>
  apa: Chatterjee, K., &#38; Doyen, L. (2022). Graph planning with expected finite
    horizon. <i>Journal of Computer and System Sciences</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcss.2022.04.003">https://doi.org/10.1016/j.jcss.2022.04.003</a>
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected
    Finite Horizon.” <i>Journal of Computer and System Sciences</i>. Elsevier, 2022.
    <a href="https://doi.org/10.1016/j.jcss.2022.04.003">https://doi.org/10.1016/j.jcss.2022.04.003</a>.
  ieee: K. Chatterjee and L. Doyen, “Graph planning with expected finite horizon,”
    <i>Journal of Computer and System Sciences</i>, vol. 129. Elsevier, pp. 1–21,
    2022.
  ista: Chatterjee K, Doyen L. 2022. Graph planning with expected finite horizon.
    Journal of Computer and System Sciences. 129, 1–21.
  mla: Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite
    Horizon.” <i>Journal of Computer and System Sciences</i>, vol. 129, Elsevier,
    2022, pp. 1–21, doi:<a href="https://doi.org/10.1016/j.jcss.2022.04.003">10.1016/j.jcss.2022.04.003</a>.
  short: K. Chatterjee, L. Doyen, Journal of Computer and System Sciences 129 (2022)
    1–21.
date_created: 2022-05-22T22:01:40Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2025-07-14T09:09:54Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2022.04.003
ec_funded: 1
external_id:
  arxiv:
  - '1802.03642'
  isi:
  - '000805002800001'
intvolume: '       129'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.1802.03642'
month: '11'
oa: 1
oa_version: Preprint
page: 1-21
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of Computer and System Sciences
publication_identifier:
  eissn:
  - 1090-2724
  issn:
  - 0022-0000
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  record:
  - id: '7402'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Graph planning with expected finite horizon
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 129
year: '2022'
...
---
_id: '9311'
abstract:
- lang: eng
  text: 'Partially observable Markov decision processes (POMDPs) are standard models
    for dynamic systems with probabilistic and nondeterministic behaviour in uncertain
    environments. We prove that in POMDPs with long-run average objective, the decision
    maker has approximately optimal strategies with finite memory. This implies notably
    that approximating the long-run value is recursively enumerable, as well as a
    weak continuity property of the value with respect to the transition function. '
acknowledgement: "Partially supported by Austrian Science Fund (FWF) NFN Grant No
  RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT
  through grant C15E03.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Bruno
  full_name: Ziliotto, Bruno
  last_name: Ziliotto
citation:
  ama: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs
    with long-run average objectives. <i>Mathematics of Operations Research</i>. 2022;47(1):100-119.
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>
  apa: Chatterjee, K., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2022). Finite-memory
    strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations
    Research</i>. Institute for Operations Research and the Management Sciences. <a
    href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>
  chicago: Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto.
    “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics
    of Operations Research</i>. Institute for Operations Research and the Management
    Sciences, 2022. <a href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>.
  ieee: K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies
    in POMDPs with long-run average objectives,” <i>Mathematics of Operations Research</i>,
    vol. 47, no. 1. Institute for Operations Research and the Management Sciences,
    pp. 100–119, 2022.
  ista: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies
    in POMDPs with long-run average objectives. Mathematics of Operations Research.
    47(1), 100–119.
  mla: Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run
    Average Objectives.” <i>Mathematics of Operations Research</i>, vol. 47, no. 1,
    Institute for Operations Research and the Management Sciences, 2022, pp. 100–19,
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>.
  short: K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations
    Research 47 (2022) 100–119.
date_created: 2021-04-08T09:33:31Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-09-05T13:16:11Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2020.1116
external_id:
  arxiv:
  - '1904.13360'
  isi:
  - '000731918100001'
intvolume: '        47'
isi: 1
issue: '1'
keyword:
- Management Science and Operations Research
- General Mathematics
- Computer Science Applications
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1904.13360
month: '02'
oa: 1
oa_version: Preprint
page: 100-119
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Mathematics of Operations Research
publication_identifier:
  eissn:
  - 1526-5471
  issn:
  - 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite-memory strategies in POMDPs with long-run average objectives
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 47
year: '2022'
...
---
_id: '11938'
abstract:
- lang: eng
  text: A matching is compatible to two or more labeled point sets of size n with
    labels {1, . . . , n} if its straight-line drawing on each of these point sets
    is crossing-free. We study the maximum number of edges in a matching compatible
    to two or more labeled point sets in general position in the plane. We show that
    for any two labeled sets of n points in convex position there exists a compatible
    matching with ⌊√2n + 1 − 1⌋ edges. More generally, for any ℓ labeled point sets
    we construct compatible matchings of size Ω(n1/ℓ). As a corresponding upper bound,
    we use probabilistic arguments to show that for any ℓ given sets of n points there
    exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1))
    edges. Finally, we show that Θ(log n) copies of any set of n points are necessary
    and sufficient for the existence of labelings of these point sets such that any
    compatible matching consists only of a single edge.
acknowledgement: 'A.A. funded by the Marie Sklodowska-Curie grant agreement No 754411.
  Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
  no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
  DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
  by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
  ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
  (RiSE).'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Alan M
  full_name: Arroyo Guevara, Alan M
  id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
  last_name: Arroyo Guevara
  orcid: 0000-0003-2401-8670
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Irene
  full_name: Parada, Irene
  last_name: Parada
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Alexander
  full_name: Pilz, Alexander
  last_name: Pilz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Birgit
  full_name: Vogtenhuber, Birgit
  last_name: Vogtenhuber
citation:
  ama: Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
    <i>Journal of Graph Algorithms and Applications</i>. 2022;26(2):225-240. doi:<a
    href="https://doi.org/10.7155/jgaa.00591">10.7155/jgaa.00591</a>
  apa: Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
    Pilz, A., … Vogtenhuber, B. (2022). On compatible matchings. <i>Journal of Graph
    Algorithms and Applications</i>. Brown University. <a href="https://doi.org/10.7155/jgaa.00591">https://doi.org/10.7155/jgaa.00591</a>
  chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
    Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
    Matchings.” <i>Journal of Graph Algorithms and Applications</i>. Brown University,
    2022. <a href="https://doi.org/10.7155/jgaa.00591">https://doi.org/10.7155/jgaa.00591</a>.
  ieee: O. Aichholzer <i>et al.</i>, “On compatible matchings,” <i>Journal of Graph
    Algorithms and Applications</i>, vol. 26, no. 2. Brown University, pp. 225–240,
    2022.
  ista: Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
    J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and
    Applications. 26(2), 225–240.
  mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” <i>Journal of Graph Algorithms
    and Applications</i>, vol. 26, no. 2, Brown University, 2022, pp. 225–40, doi:<a
    href="https://doi.org/10.7155/jgaa.00591">10.7155/jgaa.00591</a>.
  short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
    J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022)
    225–240.
date_created: 2022-08-21T22:01:56Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-02-23T13:54:21Z
day: '01'
ddc:
- '000'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.7155/jgaa.00591
ec_funded: 1
external_id:
  arxiv:
  - '2101.03928'
file:
- access_level: open_access
  checksum: dc6e255e3558faff924fd9e370886c11
  content_type: application/pdf
  creator: dernst
  date_created: 2022-08-22T06:42:42Z
  date_updated: 2022-08-22T06:42:42Z
  file_id: '11940'
  file_name: 2022_JourGraphAlgorithmsApplic_Aichholzer.pdf
  file_size: 694538
  relation: main_file
  success: 1
file_date_updated: 2022-08-22T06:42:42Z
has_accepted_license: '1'
intvolume: '        26'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 225-240
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Journal of Graph Algorithms and Applications
publication_identifier:
  issn:
  - 1526-1719
publication_status: published
publisher: Brown University
quality_controlled: '1'
related_material:
  record:
  - id: '9296'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: On compatible matchings
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2022'
...
---
_id: '12257'
abstract:
- lang: eng
  text: Structural balance theory is an established framework for studying social
    relationships of friendship and enmity. These relationships are modeled by a signed
    network whose energy potential measures the level of imbalance, while stochastic
    dynamics drives the network toward a state of minimum energy that captures social
    balance. It is known that this energy landscape has local minima that can trap
    socially aware dynamics, preventing it from reaching balance. Here we first study
    the robustness and attractor properties of these local minima. We show that a
    stochastic process can reach them from an abundance of initial states and that
    some local minima cannot be escaped by mild perturbations of the network. Motivated
    by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic
    process. We prove that BED always reaches balance and that it does so fast in
    various interesting settings.
acknowledgement: "K.C. acknowledges support from ERC Start Grant No. (279307: Graph
  Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund
  (FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385."
article_number: '034321'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- 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
citation:
  ama: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance
    on networks: Local minima and best-edge dynamics. <i>Physical Review E</i>. 2022;106(3).
    doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>'
  apa: 'Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., &#38; Tkadlec,
    J. (2022). Social balance on networks: Local minima and best-edge dynamics. <i>Physical
    Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>'
  chicago: 'Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis,
    and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.”
    <i>Physical Review E</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>.'
  ieee: 'K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social
    balance on networks: Local minima and best-edge dynamics,” <i>Physical Review
    E</i>, vol. 106, no. 3. American Physical Society, 2022.'
  ista: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social
    balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3),
    034321.'
  mla: 'Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and
    Best-Edge Dynamics.” <i>Physical Review E</i>, vol. 106, no. 3, 034321, American
    Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>.'
  short: K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical
    Review E 106 (2022).
date_created: 2023-01-16T09:57:57Z
date_published: 2022-09-29T00:00:00Z
date_updated: 2025-07-14T09:09:49Z
day: '29'
department:
- _id: KrCh
doi: 10.1103/physreve.106.034321
ec_funded: 1
external_id:
  arxiv:
  - '2210.02394'
  isi:
  - '000870243100001'
intvolume: '       106'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.02394
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: Physical Review E
publication_identifier:
  eissn:
  - 2470-0053
  issn:
  - 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Social balance on networks: Local minima and best-edge dynamics'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '8793'
abstract:
- lang: eng
  text: We study optimal election sequences for repeatedly selecting a (very) small
    group of leaders among a set of participants (players) with publicly known unique
    ids. In every time slot, every player has to select exactly one player that it
    considers to be the current leader, oblivious to the selection of the other players,
    but with the overarching goal of maximizing a given parameterized global (“social”)
    payoff function in the limit. We consider a quite generic model, where the local
    payoff achieved by a given player depends, weighted by some arbitrary but fixed
    real parameter, on the number of different leaders chosen in a round, the number
    of players that choose the given player as the leader, and whether the chosen
    leader has changed w.r.t. the previous round or not. The social payoff can be
    the maximum, average or minimum local payoff of the players. Possible applications
    include quite diverse examples such as rotating coordinator-based distributed
    algorithms and long-haul formation flying of social birds. Depending on the weights
    and the particular social payoff, optimal sequences can be very different, from
    simple round-robin where all players chose the same leader alternatingly every
    time slot to very exotic patterns, where a small group of leaders (at most 2)
    is elected in every time slot. Moreover, we study the question if and when a single
    player would not benefit w.r.t. its local payoff when deviating from the given
    optimal sequence, i.e., when our optimal sequences are Nash equilibria in the
    restricted strategy space of oblivious strategies. As this is the case for many
    parameterizations of our model, our results reveal that no punishment is needed
    to make it rational for the players to optimize the social payoff.
acknowledgement: "We are grateful to Matthias Függer and Thomas Nowak for having raised
  our interest in the problem studied in this paper.\r\nThis work has been supported
  the Austrian Science Fund (FWF) projects S11405, S11407 (RiSE), and P28182 (ADynNet)."
article_processing_charge: No
article_type: original
author:
- first_name: Martin
  full_name: Zeiner, Martin
  last_name: Zeiner
- first_name: Ulrich
  full_name: Schmid, Ulrich
  last_name: Schmid
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Zeiner M, Schmid U, Chatterjee K. Optimal strategies for selecting coordinators.
    <i>Discrete Applied Mathematics</i>. 2021;289(1):392-415. doi:<a href="https://doi.org/10.1016/j.dam.2020.10.022">10.1016/j.dam.2020.10.022</a>
  apa: Zeiner, M., Schmid, U., &#38; Chatterjee, K. (2021). Optimal strategies for
    selecting coordinators. <i>Discrete Applied Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/j.dam.2020.10.022">https://doi.org/10.1016/j.dam.2020.10.022</a>
  chicago: Zeiner, Martin, Ulrich Schmid, and Krishnendu Chatterjee. “Optimal Strategies
    for Selecting Coordinators.” <i>Discrete Applied Mathematics</i>. Elsevier, 2021.
    <a href="https://doi.org/10.1016/j.dam.2020.10.022">https://doi.org/10.1016/j.dam.2020.10.022</a>.
  ieee: M. Zeiner, U. Schmid, and K. Chatterjee, “Optimal strategies for selecting
    coordinators,” <i>Discrete Applied Mathematics</i>, vol. 289, no. 1. Elsevier,
    pp. 392–415, 2021.
  ista: Zeiner M, Schmid U, Chatterjee K. 2021. Optimal strategies for selecting coordinators.
    Discrete Applied Mathematics. 289(1), 392–415.
  mla: Zeiner, Martin, et al. “Optimal Strategies for Selecting Coordinators.” <i>Discrete
    Applied Mathematics</i>, vol. 289, no. 1, Elsevier, 2021, pp. 392–415, doi:<a
    href="https://doi.org/10.1016/j.dam.2020.10.022">10.1016/j.dam.2020.10.022</a>.
  short: M. Zeiner, U. Schmid, K. Chatterjee, Discrete Applied Mathematics 289 (2021)
    392–415.
date_created: 2020-11-22T23:01:26Z
date_published: 2021-01-31T00:00:00Z
date_updated: 2023-08-04T11:12:41Z
day: '31'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1016/j.dam.2020.10.022
external_id:
  isi:
  - '000596823800035'
file:
- access_level: open_access
  checksum: f1039ff5a2d6ca116720efdb84ee9d5e
  content_type: application/pdf
  creator: dernst
  date_created: 2021-02-04T11:28:42Z
  date_updated: 2021-02-04T11:28:42Z
  file_id: '9089'
  file_name: 2021_DiscreteApplMath_Zeiner.pdf
  file_size: 652739
  relation: main_file
  success: 1
file_date_updated: 2021-02-04T11:28:42Z
has_accepted_license: '1'
intvolume: '       289'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 392-415
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Discrete Applied Mathematics
publication_identifier:
  issn:
  - 0166218X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal strategies for selecting coordinators
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 289
year: '2021'
...
---
_id: '9296'
abstract:
- lang: eng
  text: ' matching is compatible to two or more labeled point sets of size n with
    labels   {1,…,n}  if its straight-line drawing on each of these point sets is
    crossing-free. We study the maximum number of edges in a matching compatible to
    two or more labeled point sets in general position in the plane. We show that
    for any two labeled convex sets of n points there exists a compatible matching
    with   ⌊2n−−√⌋  edges. More generally, for any   ℓ  labeled point sets we construct
    compatible matchings of size   Ω(n1/ℓ) . As a corresponding upper bound, we use
    probabilistic arguments to show that for any   ℓ  given sets of n points there
    exists a labeling of each set such that the largest compatible matching has   O(n2/(ℓ+1))  edges.
    Finally, we show that   Θ(logn)  copies of any set of n points are necessary and
    sufficient for the existence of a labeling such that any compatible matching consists
    only of a single edge.'
acknowledgement: 'A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411.
  Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant
  no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative
  DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported
  by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by
  ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23
  (RiSE).'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Oswin
  full_name: Aichholzer, Oswin
  last_name: Aichholzer
- first_name: Alan M
  full_name: Arroyo Guevara, Alan M
  id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
  last_name: Arroyo Guevara
  orcid: 0000-0003-2401-8670
- first_name: Zuzana
  full_name: Masárová, Zuzana
  id: 45CFE238-F248-11E8-B48F-1D18A9856A87
  last_name: Masárová
  orcid: 0000-0002-6660-1322
- first_name: Irene
  full_name: Parada, Irene
  last_name: Parada
- first_name: Daniel
  full_name: Perz, Daniel
  last_name: Perz
- first_name: Alexander
  full_name: Pilz, Alexander
  last_name: Pilz
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Birgit
  full_name: Vogtenhuber, Birgit
  last_name: Vogtenhuber
citation:
  ama: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings.
    In: <i>15th International Conference on Algorithms and Computation</i>. Vol 12635.
    Springer Nature; 2021:221-233. doi:<a href="https://doi.org/10.1007/978-3-030-68211-8_18">10.1007/978-3-030-68211-8_18</a>'
  apa: 'Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D.,
    Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In <i>15th International
    Conference on Algorithms and Computation</i> (Vol. 12635, pp. 221–233). Yangon,
    Myanmar: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-68211-8_18">https://doi.org/10.1007/978-3-030-68211-8_18</a>'
  chicago: Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada,
    Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible
    Matchings.” In <i>15th International Conference on Algorithms and Computation</i>,
    12635:221–33. Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-68211-8_18">https://doi.org/10.1007/978-3-030-68211-8_18</a>.
  ieee: O. Aichholzer <i>et al.</i>, “On compatible matchings,” in <i>15th International
    Conference on Algorithms and Computation</i>, Yangon, Myanmar, 2021, vol. 12635,
    pp. 221–233.
  ista: 'Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec
    J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference
    on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol.
    12635, 221–233.'
  mla: Aichholzer, Oswin, et al. “On Compatible Matchings.” <i>15th International
    Conference on Algorithms and Computation</i>, vol. 12635, Springer Nature, 2021,
    pp. 221–33, doi:<a href="https://doi.org/10.1007/978-3-030-68211-8_18">10.1007/978-3-030-68211-8_18</a>.
  short: O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz,
    J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and
    Computation, Springer Nature, 2021, pp. 221–233.
conference:
  end_date: 2021-03-02
  location: Yangon, Myanmar
  name: 'WALCOM: Algorithms and Computation'
  start_date: 2021-02-28
date_created: 2021-03-28T22:01:41Z
date_published: 2021-02-16T00:00:00Z
date_updated: 2023-02-21T16:33:44Z
day: '16'
department:
- _id: UlWa
- _id: HeEd
- _id: KrCh
doi: 10.1007/978-3-030-68211-8_18
ec_funded: 1
external_id:
  arxiv:
  - '2101.03928'
intvolume: '     12635'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2101.03928
month: '02'
oa: 1
oa_version: Preprint
page: 221-233
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: 15th International Conference on Algorithms and Computation
publication_identifier:
  eissn:
  - '16113349'
  isbn:
  - '9783030682101'
  issn:
  - '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '11938'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: On compatible matchings
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 12635
year: '2021'
...
---
_id: '10002'
abstract:
- lang: eng
  text: 'We present a faster symbolic algorithm for the following central problem
    in probabilistic verification: Compute the maximal end-component (MEC) decomposition
    of Markov decision processes (MDPs). This problem generalizes the SCC decomposition
    problem of graphs and closed recurrent sets of Markov chains. The model of symbolic
    algorithms is widely used in formal verification and model-checking, where access
    to the input model is restricted to only symbolic operations (e.g., basic set
    operations and computation of one-step neighborhood). For an input MDP with  n  vertices
    and  m  edges, the classical symbolic algorithm from the 1990s for the MEC decomposition
    requires  O(n2)  symbolic operations and  O(1)  symbolic space. The only other
    symbolic algorithm for the MEC decomposition requires  O(nm−−√)  symbolic operations
    and  O(m−−√)  symbolic space. A main open question is whether the worst-case  O(n2)  bound
    for symbolic operations can be beaten. We present a symbolic algorithm that requires  O˜(n1.5)  symbolic
    operations and  O˜(n−−√)  symbolic space. Moreover, the parametrization of our
    algorithm provides a trade-off between symbolic operations and symbolic space:
    for all  0<ϵ≤1/2  the symbolic algorithm requires  O˜(n2−ϵ)  symbolic operations
    and  O˜(nϵ)  symbolic space ( O˜  hides poly-logarithmic factors). Using our techniques
    we present faster algorithms for computing the almost-sure winning regions of  ω
    -regular objectives for MDPs. We consider the canonical parity objectives for  ω
    -regular objectives, and for parity objectives with  d -priorities we present
    an algorithm that computes the almost-sure winning region with  O˜(n2−ϵ)  symbolic
    operations and  O˜(nϵ)  symbolic space, for all  0<ϵ≤1/2 .'
acknowledgement: The authors are grateful to the anonymous referees for their valuable
  comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF)
  through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF)
  NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For
  M. H. the research leading to these results has received funding from the European
  Research Council under the European Unions Seventh Framework Programme (FP/2007–2013)
  / ERC Grant Agreement no. 340506.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Wolfgang
  full_name: Dvorak, Wolfgang
  last_name: Dvorak
- 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, Dvorak W, Henzinger MH, Svozil A. Symbolic time and space tradeoffs
    for probabilistic verification. In: <i>Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science</i>. Institute of Electrical and Electronics
    Engineers; 2021:1-13. doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>'
  apa: 'Chatterjee, K., Dvorak, W., Henzinger, M. H., &#38; Svozil, A. (2021). Symbolic
    time and space tradeoffs for probabilistic verification. In <i>Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13).
    Rome, Italy: Institute of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika H Henzinger, and Alexander
    Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In
    <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science</i>,
    1–13. Institute of Electrical and Electronics Engineers, 2021. <a href="https://doi.org/10.1109/LICS52264.2021.9470739">https://doi.org/10.1109/LICS52264.2021.9470739</a>.
  ieee: K. Chatterjee, W. Dvorak, M. H. Henzinger, and A. Svozil, “Symbolic time and
    space tradeoffs for probabilistic verification,” in <i>Proceedings of the 36th
    Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Rome, Italy, 2021,
    pp. 1–13.
  ista: 'Chatterjee K, Dvorak W, Henzinger MH, Svozil A. 2021. Symbolic time and space
    tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE
    Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science,
    1–13.'
  mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic
    Verification.” <i>Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in
    Computer Science</i>, Institute of Electrical and Electronics Engineers, 2021,
    pp. 1–13, doi:<a href="https://doi.org/10.1109/LICS52264.2021.9470739">10.1109/LICS52264.2021.9470739</a>.
  short: K. Chatterjee, W. Dvorak, M.H. Henzinger, A. Svozil, in:, Proceedings of
    the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of
    Electrical and Electronics Engineers, 2021, pp. 1–13.
conference:
  end_date: 2021-07-02
  location: Rome, Italy
  name: 'LICS: Symposium on Logic in Computer Science'
  start_date: 2021-06-29
date_created: 2021-09-12T22:01:24Z
date_published: 2021-07-07T00:00:00Z
date_updated: 2025-07-14T09:10:07Z
day: '07'
department:
- _id: KrCh
doi: 10.1109/LICS52264.2021.9470739
ec_funded: 1
external_id:
  arxiv:
  - '2104.07466'
  isi:
  - '000947350400089'
isi: 1
keyword:
- Computer science
- Computational modeling
- Markov processes
- Probabilistic logic
- Formal verification
- Game Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2104.07466
month: '07'
oa: 1
oa_version: Preprint
page: 1-13
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer
  Science
publication_identifier:
  eisbn:
  - 978-1-6654-4895-6
  isbn:
  - 978-1-6654-4896-3
  issn:
  - 1043-6871
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Symbolic time and space tradeoffs for probabilistic verification
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '8193'
abstract:
- lang: eng
  text: 'Multiple-environment Markov decision processes (MEMDPs) are MDPs equipped
    with not one, but multiple probabilistic transition functions, which represent
    the various possible unknown environments. While the previous research on MEMDPs
    focused on theoretical properties for long-run average payoff, we study them with
    discounted-sum payoff and focus on their practical advantages and applications.
    MEMDPs can be viewed as a special case of Partially observable and Mixed observability
    MDPs: the state of the system is perfectly observable, but not the environment.
    We show that the specific structure of MEMDPs allows for more efficient algorithmic
    analysis, in particular for faster belief updates. We demonstrate the applicability
    of MEMDPs in several domains. In particular, we formalize the sequential decision-making
    approach to contextual recommendation systems as MEMDPs and substantially improve
    over the previous MDP approach.'
acknowledgement: Krishnendu Chatterjee is supported by the Austrian ScienceFund (FWF)
  NFN Grant No. S11407-N23 (RiSE/SHiNE),and COST Action GAMENET. Petr Novotn ́y is
  supported bythe Czech Science Foundation grant No. GJ19-15134Y.
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: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Deep
  full_name: Karkhanis, Deep
  last_name: Karkhanis
- first_name: Petr
  full_name: Novotný, Petr
  id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
  last_name: Novotný
- first_name: Amélie
  full_name: Royer, Amélie
  id: 3811D890-F248-11E8-B48F-1D18A9856A87
  last_name: Royer
  orcid: 0000-0002-8407-0705
citation:
  ama: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. Multiple-environment
    Markov decision processes: Efficient analysis and applications. In: <i>Proceedings
    of the 30th International Conference on Automated Planning and Scheduling</i>.
    Vol 30. Association for the Advancement of Artificial Intelligence; 2020:48-56.'
  apa: 'Chatterjee, K., Chmelik, M., Karkhanis, D., Novotný, P., &#38; Royer, A. (2020).
    Multiple-environment Markov decision processes: Efficient analysis and applications.
    In <i>Proceedings of the 30th International Conference on Automated Planning and
    Scheduling</i> (Vol. 30, pp. 48–56). Nancy, France: Association for the Advancement
    of Artificial Intelligence.'
  chicago: 'Chatterjee, Krishnendu, Martin Chmelik, Deep Karkhanis, Petr Novotný,
    and Amélie Royer. “Multiple-Environment Markov Decision Processes: Efficient Analysis
    and Applications.” In <i>Proceedings of the 30th International Conference on Automated
    Planning and Scheduling</i>, 30:48–56. Association for the Advancement of Artificial
    Intelligence, 2020.'
  ieee: 'K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, and A. Royer, “Multiple-environment
    Markov decision processes: Efficient analysis and applications,” in <i>Proceedings
    of the 30th International Conference on Automated Planning and Scheduling</i>,
    Nancy, France, 2020, vol. 30, pp. 48–56.'
  ista: 'Chatterjee K, Chmelik M, Karkhanis D, Novotný P, Royer A. 2020. Multiple-environment
    Markov decision processes: Efficient analysis and applications. Proceedings of
    the 30th International Conference on Automated Planning and Scheduling. ICAPS:
    International Conference on Automated Planning and Scheduling vol. 30, 48–56.'
  mla: 'Chatterjee, Krishnendu, et al. “Multiple-Environment Markov Decision Processes:
    Efficient Analysis and Applications.” <i>Proceedings of the 30th International
    Conference on Automated Planning and Scheduling</i>, vol. 30, Association for
    the Advancement of Artificial Intelligence, 2020, pp. 48–56.'
  short: K. Chatterjee, M. Chmelik, D. Karkhanis, P. Novotný, A. Royer, in:, Proceedings
    of the 30th International Conference on Automated Planning and Scheduling, Association
    for the Advancement of Artificial Intelligence, 2020, pp. 48–56.
conference:
  end_date: 2020-10-30
  location: Nancy, France
  name: 'ICAPS: International Conference on Automated Planning and Scheduling'
  start_date: 2020-10-26
date_created: 2020-08-02T22:00:58Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-09-07T13:16:18Z
day: '01'
department:
- _id: KrCh
intvolume: '        30'
language:
- iso: eng
month: '06'
oa_version: None
page: 48-56
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the 30th International Conference on Automated Planning
  and Scheduling
publication_identifier:
  eissn:
  - '23340843'
  issn:
  - '23340835'
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
related_material:
  record:
  - id: '8390'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Multiple-environment Markov decision processes: Efficient analysis and applications'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 30
year: '2020'
...
---
_id: '8324'
abstract:
- lang: eng
  text: The notion of program sensitivity (aka Lipschitz continuity) specifies that
    changes in the program input result in proportional changes to the program output.
    For probabilistic programs the notion is naturally extended to expected sensitivity.
    A previous approach develops a relational program logic framework for proving
    expected sensitivity of probabilistic while loops, where the number of iterations
    is fixed and bounded. In this work, we consider probabilistic while loops where
    the number of iterations is not fixed, but randomized and depends on the initial
    input values. We present a sound approach for proving expected sensitivity of
    such programs. Our sound approach is martingale-based and can be automated through
    existing martingale-synthesis algorithms. Furthermore, our approach is compositional
    for sequential composition of while loops under a mild side condition. We demonstrate
    the effectiveness of our approach on several classical examples from Gambler's
    Ruin, stochastic hybrid systems and stochastic gradient descent. We also present
    experimental results showing that our automated approach can handle various probabilistic
    programs in the literature.
acknowledgement: We thank anonymous reviewers for helpful comments, especially for
  pointing to us a scenario of piecewise-linear approximation (Remark5). The research
  was partially supported by the National Natural Science Foundation of China (NSFC)
  under Grant No. 61802254, 61672229, 61832015,61772336,11871221 and Austrian Science
  Fund (FWF) NFN under Grant No. S11407-N23 (RiSE/SHiNE). We thank Prof. Yuxi Fu,
  director of the BASICS Lab at Shanghai Jiao Tong University, for his support.
article_number: '25'
article_processing_charge: No
arxiv: 1
author:
- first_name: Peixin
  full_name: Wang, Peixin
  last_name: Wang
- first_name: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Yuxin
  full_name: Deng, Yuxin
  last_name: Deng
- first_name: Ming
  full_name: Xu, Ming
  last_name: Xu
citation:
  ama: 'Wang P, Fu H, Chatterjee K, Deng Y, Xu M. Proving expected sensitivity of
    probabilistic programs with randomized variable-dependent termination time. In:
    <i>Proceedings of the ACM on Programming Languages</i>. Vol 4. ACM; 2020. doi:<a
    href="https://doi.org/10.1145/3371093">10.1145/3371093</a>'
  apa: Wang, P., Fu, H., Chatterjee, K., Deng, Y., &#38; Xu, M. (2020). Proving expected
    sensitivity of probabilistic programs with randomized variable-dependent termination
    time. In <i>Proceedings of the ACM on Programming Languages</i> (Vol. 4). ACM.
    <a href="https://doi.org/10.1145/3371093">https://doi.org/10.1145/3371093</a>
  chicago: Wang, Peixin, Hongfei Fu, Krishnendu Chatterjee, Yuxin Deng, and Ming Xu.
    “Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent
    Termination Time.” In <i>Proceedings of the ACM on Programming Languages</i>,
    Vol. 4. ACM, 2020. <a href="https://doi.org/10.1145/3371093">https://doi.org/10.1145/3371093</a>.
  ieee: P. Wang, H. Fu, K. Chatterjee, Y. Deng, and M. Xu, “Proving expected sensitivity
    of probabilistic programs with randomized variable-dependent termination time,”
    in <i>Proceedings of the ACM on Programming Languages</i>, 2020, vol. 4, no. POPL.
  ista: Wang P, Fu H, Chatterjee K, Deng Y, Xu M. 2020. Proving expected sensitivity
    of probabilistic programs with randomized variable-dependent termination time.
    Proceedings of the ACM on Programming Languages. vol. 4, 25.
  mla: Wang, Peixin, et al. “Proving Expected Sensitivity of Probabilistic Programs
    with Randomized Variable-Dependent Termination Time.” <i>Proceedings of the ACM
    on Programming Languages</i>, vol. 4, no. POPL, 25, ACM, 2020, doi:<a href="https://doi.org/10.1145/3371093">10.1145/3371093</a>.
  short: P. Wang, H. Fu, K. Chatterjee, Y. Deng, M. Xu, in:, Proceedings of the ACM
    on Programming Languages, ACM, 2020.
date_created: 2020-08-30T22:01:12Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2024-02-22T15:16:45Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/3371093
external_id:
  arxiv:
  - '1902.04744'
file:
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  checksum: c6193d109ff4ecb17e7a6513d8eb34c0
  content_type: application/pdf
  creator: cziletti
  date_created: 2020-09-01T11:12:58Z
  date_updated: 2020-09-01T11:12:58Z
  file_id: '8328'
  file_name: 2019_ACM_POPL_Wang.pdf
  file_size: 564151
  relation: main_file
  success: 1
file_date_updated: 2020-09-01T11:12:58Z
has_accepted_license: '1'
intvolume: '         4'
issue: POPL
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
  eissn:
  - 2475-1421
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://doi.org/10.5281/zenodo.3533633
scopus_import: '1'
status: public
title: Proving expected sensitivity of probabilistic programs with randomized variable-dependent
  termination time
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 4
year: '2020'
...
---
_id: '8788'
abstract:
- lang: eng
  text: 'We consider a real-time setting where an environment releases sequences of
    firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute
    on a single processor so as to maximize cumulated utility. The competitive ratio
    is a well-known performance measure for the scheduler: it gives the worst-case
    ratio, among all possible choices for the environment, of the cumulated utility
    of the online scheduler versus an offline scheduler that knows these choices in
    advance. Traditionally, competitive analysis is performed by hand, while automated
    techniques are rare and only handle static environments with independent tasks.
    We present a quantitative-verification framework for precedence-aware competitive
    analysis, where task releases may depend on preceding scheduling choices, i.e.,
    the environment can respond to scheduling decisions dynamically . We consider
    two general classes of precedences: 1) follower precedences force the release
    of a dependent task upon the completion of a set of precursor tasks, while and
    2) pairing precedences modify the characteristics of a dependent task provided
    the completion of a set of precursor tasks. Precedences make competitive analysis
    challenging, as the online and offline schedulers operate on diverging sequences.
    We make a formal presentation of our framework, and use a GPU-based implementation
    to analyze ten well-known schedulers on precedence-based application examples
    taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching;
    3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental
    results show that precedences and task parameters can vary drastically the best
    scheduler. Our framework thus supports application designers in choosing the best
    scheduler among a given set automatically.'
acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF)
  under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented
  in the International Conference on Embedded Software 2020 and appears as part of
  the ESWEEK-TCAD special issue. '
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Nico
  full_name: Schaumberger, Nico
  last_name: Schaumberger
- first_name: Ulrich
  full_name: Schmid, Ulrich
  last_name: Schmid
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated
    competitive analysis of real-time scheduling. <i>IEEE Transactions on Computer-Aided
    Design of Integrated Circuits and Systems</i>. 2020;39(11):3981-3992. doi:<a href="https://doi.org/10.1109/TCAD.2020.3012803">10.1109/TCAD.2020.3012803</a>
  apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., &#38; Chatterjee, K. (2020).
    Precedence-aware automated competitive analysis of real-time scheduling. <i>IEEE
    Transactions on Computer-Aided Design of Integrated Circuits and Systems</i>.
    IEEE. <a href="https://doi.org/10.1109/TCAD.2020.3012803">https://doi.org/10.1109/TCAD.2020.3012803</a>
  chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu
    Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.”
    <i>IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems</i>.
    IEEE, 2020. <a href="https://doi.org/10.1109/TCAD.2020.3012803">https://doi.org/10.1109/TCAD.2020.3012803</a>.
  ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware
    automated competitive analysis of real-time scheduling,” <i>IEEE Transactions
    on Computer-Aided Design of Integrated Circuits and Systems</i>, vol. 39, no.
    11. IEEE, pp. 3981–3992, 2020.
  ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware
    automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
    Design of Integrated Circuits and Systems. 39(11), 3981–3992.
  mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis
    of Real-Time Scheduling.” <i>IEEE Transactions on Computer-Aided Design of Integrated
    Circuits and Systems</i>, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:<a href="https://doi.org/10.1109/TCAD.2020.3012803">10.1109/TCAD.2020.3012803</a>.
  short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions
    on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992.
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-08-22T13:27:05Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/TCAD.2020.3012803
external_id:
  isi:
  - '000587712700069'
intvolume: '        39'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa_version: None
page: 3981-3992
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and
  Systems
publication_identifier:
  eissn:
  - '19374151'
  issn:
  - '02780070'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Precedence-aware automated competitive analysis of real-time scheduling
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 39
year: '2020'
...
---
_id: '7212'
abstract:
- lang: eng
  text: The fixation probability of a single mutant invading a population of residents
    is among the most widely-studied quantities in evolutionary dynamics. Amplifiers
    of natural selection are population structures that increase the fixation probability
    of advantageous mutants, compared to well-mixed populations. Extensive studies
    have shown that many amplifiers exist for the Birth-death Moran process, some
    of them substantially increasing the fixation probability or even guaranteeing
    fixation in the limit of large population size. On the other hand, no amplifiers
    are known for the death-Birth Moran process, and computer-assisted exhaustive
    searches have failed to discover amplification. In this work we resolve this disparity,
    by showing that any amplification under death-Birth updating is necessarily bounded
    and transient. Our boundedness result states that even if a population structure
    does amplify selection, the resulting fixation probability is close to that of
    the well-mixed population. Our transience result states that for any population
    structure there exists a threshold r⋆ such that the population structure ceases
    to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally,
    we also extend the above results to δ-death-Birth updating, which is a combination
    of Birth-death and death-Birth updating. On the positive side, we identify population
    structures that maintain amplification for a wide range of values r and δ. These
    results demonstrate that amplification of natural selection depends on the specific
    mechanisms of the evolutionary process.
article_number: e1007494
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin A.
  full_name: Nowak, Martin A.
  last_name: Nowak
citation:
  ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of
    natural selection under death-Birth updating. <i>PLoS computational biology</i>.
    2020;16. doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>
  apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &#38; Nowak, M. A. (2020). Limits
    on amplifiers of natural selection under death-Birth updating. <i>PLoS Computational
    Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>
  chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
    A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.”
    <i>PLoS Computational Biology</i>. Public Library of Science, 2020. <a href="https://doi.org/10.1371/journal.pcbi.1007494">https://doi.org/10.1371/journal.pcbi.1007494</a>.
  ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers
    of natural selection under death-Birth updating,” <i>PLoS computational biology</i>,
    vol. 16. Public Library of Science, 2020.
  ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers
    of natural selection under death-Birth updating. PLoS computational biology. 16,
    e1007494.
  mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth
    Updating.” <i>PLoS Computational Biology</i>, vol. 16, e1007494, Public Library
    of Science, 2020, doi:<a href="https://doi.org/10.1371/journal.pcbi.1007494">10.1371/journal.pcbi.1007494</a>.
  short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational
    Biology 16 (2020).
date_created: 2019-12-23T13:45:11Z
date_published: 2020-01-17T00:00:00Z
date_updated: 2023-10-17T12:29:47Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1007494
ec_funded: 1
external_id:
  arxiv:
  - '1906.02785'
  isi:
  - '000510916500025'
file:
- access_level: open_access
  checksum: ce32ee2d2f53aed832f78bbd47e882df
  content_type: application/pdf
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  date_updated: 2020-07-14T12:47:53Z
  file_id: '7441'
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isi: 1
language:
- iso: eng
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'
- _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: PLoS computational biology
publication_identifier:
  eissn:
  - '15537358'
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
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    relation: part_of_dissertation
    status: public
scopus_import: '1'
status: public
title: Limits on amplifiers of natural selection under death-Birth updating
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '7426'
abstract:
- lang: eng
  text: This paper presents a novel abstraction technique for analyzing Lyapunov and
    asymptotic stability of polyhedral switched systems. A polyhedral switched system
    is a hybrid system in which the continuous dynamics is specified by polyhedral
    differential inclusions, the invariants and guards are specified by polyhedral
    sets and the switching between the modes do not involve reset of variables. A
    finite state weighted graph abstracting the polyhedral switched system is constructed
    from a finite partition of the state–space, such that the satisfaction of certain
    graph conditions, such as the absence of cycles with product of weights on the
    edges greater than (or equal) to 1, implies the stability of the system. However,
    the graph is in general conservative and hence, the violation of the graph conditions
    does not imply instability. If the analysis fails to establish stability due to
    the conservativeness in the approximation, a counterexample (cycle with product
    of edge weights greater than or equal to 1) indicating a potential reason for
    the failure is returned. Further, a more precise approximation of the switched
    system can be constructed by considering a finer partition of the state–space
    in the construction of the finite weighted graph. We present experimental results
    on analyzing stability of switched systems using the above method.
article_number: '100856'
article_processing_charge: No
article_type: original
author:
- first_name: Miriam
  full_name: Garcia Soto, Miriam
  id: 4B3207F6-F248-11E8-B48F-1D18A9856A87
  last_name: Garcia Soto
  orcid: 0000−0003−2936−5719
- first_name: Pavithra
  full_name: Prabhakar, Pavithra
  last_name: Prabhakar
citation:
  ama: 'Garcia Soto M, Prabhakar P. Abstraction based verification of stability of
    polyhedral switched systems. <i>Nonlinear Analysis: Hybrid Systems</i>. 2020;36(5).
    doi:<a href="https://doi.org/10.1016/j.nahs.2020.100856">10.1016/j.nahs.2020.100856</a>'
  apa: 'Garcia Soto, M., &#38; Prabhakar, P. (2020). Abstraction based verification
    of stability of polyhedral switched systems. <i>Nonlinear Analysis: Hybrid Systems</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.nahs.2020.100856">https://doi.org/10.1016/j.nahs.2020.100856</a>'
  chicago: 'Garcia Soto, Miriam, and Pavithra Prabhakar. “Abstraction Based Verification
    of Stability of Polyhedral Switched Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>.
    Elsevier, 2020. <a href="https://doi.org/10.1016/j.nahs.2020.100856">https://doi.org/10.1016/j.nahs.2020.100856</a>.'
  ieee: 'M. Garcia Soto and P. Prabhakar, “Abstraction based verification of stability
    of polyhedral switched systems,” <i>Nonlinear Analysis: Hybrid Systems</i>, vol.
    36, no. 5. Elsevier, 2020.'
  ista: 'Garcia Soto M, Prabhakar P. 2020. Abstraction based verification of stability
    of polyhedral switched systems. Nonlinear Analysis: Hybrid Systems. 36(5), 100856.'
  mla: 'Garcia Soto, Miriam, and Pavithra Prabhakar. “Abstraction Based Verification
    of Stability of Polyhedral Switched Systems.” <i>Nonlinear Analysis: Hybrid Systems</i>,
    vol. 36, no. 5, 100856, Elsevier, 2020, doi:<a href="https://doi.org/10.1016/j.nahs.2020.100856">10.1016/j.nahs.2020.100856</a>.'
  short: 'M. Garcia Soto, P. Prabhakar, Nonlinear Analysis: Hybrid Systems 36 (2020).'
date_created: 2020-02-02T23:00:59Z
date_published: 2020-05-01T00:00:00Z
date_updated: 2023-08-17T14:32:54Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1016/j.nahs.2020.100856
external_id:
  isi:
  - '000528828600003'
file:
- access_level: open_access
  checksum: 560abfddb53f9fe921b6744f59f2cfaa
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-21T13:16:45Z
  date_updated: 2022-05-16T22:30:04Z
  embargo: 2022-05-15
  file_id: '8688'
  file_name: 2020_NAHS_GarciaSoto.pdf
  file_size: 818774
  relation: main_file
file_date_updated: 2022-05-16T22:30:04Z
has_accepted_license: '1'
intvolume: '        36'
isi: 1
issue: '5'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '05'
oa: 1
oa_version: Submitted Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
publication: 'Nonlinear Analysis: Hybrid Systems'
publication_identifier:
  issn:
  - 1751-570X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Abstraction based verification of stability of polyhedral switched systems
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 36
year: '2020'
...
---
_id: '15055'
abstract:
- lang: eng
  text: <jats:p>Markov decision processes (MDPs) are the defacto framework for sequential
    decision making in the presence of stochastic uncertainty. A classical optimization
    criterion for MDPs is to maximize the expected discounted-sum payoff, which ignores
    low probability catastrophic events with highly negative impact on the system.
    On the other hand, risk-averse policies require the probability of undesirable
    events to be below a given threshold, but they do not account for optimization
    of the expected payoff. We consider MDPs with discounted-sum payoff with failure
    states which represent catastrophic outcomes. The objective of risk-constrained
    planning is to maximize the expected discounted-sum payoff among risk-averse policies
    that ensure the probability to encounter a failure state is below a desired threshold.
    Our main contribution is an efficient risk-constrained planning algorithm that
    combines UCT-like search with a predictor learned through interaction with the
    MDP (in the style of AlphaZero) and with a risk-constrained action selection via
    linear programming. We demonstrate the effectiveness of our approach with experiments
    on classical MDPs from the literature, including benchmarks with an order of 106
    states.</jats:p>
acknowledgement: Krishnendu Chatterjee is supported by the Austrian Science Fund (FWF)
  NFN Grant No. S11407-N23 (RiSE/SHiNE), and COST Action GAMENET. Tomas Brazdil is
  supported by the Grant Agency of Masaryk University grant no. MUNI/G/0739/2017 and
  by the Czech Science Foundation grant No. 18-11193S. Petr Novotny and Jirı Vahala
  are supported by the Czech Science Foundation grant No. GJ19-15134Y.
article_processing_charge: No
article_type: original
arxiv: 1
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: Petr
  full_name: Novotný, Petr
  last_name: Novotný
- first_name: Jiří
  full_name: Vahala, Jiří
  last_name: Vahala
citation:
  ama: Brázdil T, Chatterjee K, Novotný P, Vahala J. Reinforcement learning of risk-constrained
    policies in Markov decision processes. <i>Proceedings of the 34th AAAI Conference
    on Artificial Intelligence</i>. 2020;34(06):9794-9801. doi:<a href="https://doi.org/10.1609/aaai.v34i06.6531">10.1609/aaai.v34i06.6531</a>
  apa: 'Brázdil, T., Chatterjee, K., Novotný, P., &#38; Vahala, J. (2020). Reinforcement
    learning of risk-constrained policies in Markov decision processes. <i>Proceedings
    of the 34th AAAI Conference on Artificial Intelligence</i>. New York, NY, United
    States: Association for the Advancement of Artificial Intelligence. <a href="https://doi.org/10.1609/aaai.v34i06.6531">https://doi.org/10.1609/aaai.v34i06.6531</a>'
  chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Petr Novotný, and Jiří Vahala. “Reinforcement
    Learning of Risk-Constrained Policies in Markov Decision Processes.” <i>Proceedings
    of the 34th AAAI Conference on Artificial Intelligence</i>. Association for the
    Advancement of Artificial Intelligence, 2020. <a href="https://doi.org/10.1609/aaai.v34i06.6531">https://doi.org/10.1609/aaai.v34i06.6531</a>.
  ieee: T. Brázdil, K. Chatterjee, P. Novotný, and J. Vahala, “Reinforcement learning
    of risk-constrained policies in Markov decision processes,” <i>Proceedings of
    the 34th AAAI Conference on Artificial Intelligence</i>, vol. 34, no. 06. Association
    for the Advancement of Artificial Intelligence, pp. 9794–9801, 2020.
  ista: Brázdil T, Chatterjee K, Novotný P, Vahala J. 2020. Reinforcement learning
    of risk-constrained policies in Markov decision processes. Proceedings of the
    34th AAAI Conference on Artificial Intelligence. 34(06), 9794–9801.
  mla: Brázdil, Tomáš, et al. “Reinforcement Learning of Risk-Constrained Policies
    in Markov Decision Processes.” <i>Proceedings of the 34th AAAI Conference on Artificial
    Intelligence</i>, vol. 34, no. 06, Association for the Advancement of Artificial
    Intelligence, 2020, pp. 9794–801, doi:<a href="https://doi.org/10.1609/aaai.v34i06.6531">10.1609/aaai.v34i06.6531</a>.
  short: T. Brázdil, K. Chatterjee, P. Novotný, J. Vahala, Proceedings of the 34th
    AAAI Conference on Artificial Intelligence 34 (2020) 9794–9801.
conference:
  end_date: 2020-02-12
  location: New York, NY, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2020-02-07
date_created: 2024-03-04T08:07:22Z
date_published: 2020-04-03T00:00:00Z
date_updated: 2024-03-04T08:30:16Z
day: '03'
department:
- _id: KrCh
doi: 10.1609/aaai.v34i06.6531
external_id:
  arxiv:
  - '2002.12086'
intvolume: '        34'
issue: '06'
keyword:
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2002.12086
month: '04'
oa: 1
oa_version: Preprint
page: 9794-9801
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Proceedings of the 34th AAAI Conference on Artificial Intelligence
publication_identifier:
  issn:
  - 2374-3468
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
status: public
title: Reinforcement learning of risk-constrained policies in Markov decision processes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2020'
...
---
_id: '6780'
abstract:
- lang: eng
  text: "In this work, we consider the almost-sure termination problem for probabilistic
    programs that asks whether a\r\ngiven probabilistic program terminates with probability
    1. Scalable approaches for program analysis often\r\nrely on modularity as their
    theoretical basis. In non-probabilistic programs, the classical variant rule (V-rule)\r\nof
    Floyd-Hoare logic provides the foundation for modular analysis. Extension of this
    rule to almost-sure\r\ntermination of probabilistic programs is quite tricky,
    and a probabilistic variant was proposed in [16]. While the\r\nproposed probabilistic
    variant cautiously addresses the key issue of integrability, we show that the
    proposed\r\nmodular rule is still not sound for almost-sure termination of probabilistic
    programs.\r\nBesides establishing unsoundness of the previous rule, our contributions
    are as follows: First, we present a\r\nsound modular rule for almost-sure termination
    of probabilistic programs. Our approach is based on a novel\r\nnotion of descent
    supermartingales. Second, for algorithmic approaches, we consider descent supermartingales\r\nthat
    are linear and show that they can be synthesized in polynomial time. Finally,
    we present experimental\r\nresults on a variety of benchmarks and several natural
    examples that model various types of nested while\r\nloops in probabilistic programs
    and demonstrate that our approach is able to efficiently prove their almost-sure\r\ntermination
    property"
article_number: '129'
article_processing_charge: No
arxiv: 1
author:
- first_name: Mingzhang
  full_name: Huang, Mingzhang
  last_name: Huang
- first_name: Hongfei
  full_name: Fu, Hongfei
  last_name: Fu
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
citation:
  ama: 'Huang M, Fu H, Chatterjee K, Goharshady AK. Modular verification for almost-sure
    termination of probabilistic programs. In: <i>Proceedings of the 34th ACM International
    Conference on Object-Oriented Programming, Systems, Languages, and Applications
    </i>. Vol 3. ACM; 2019. doi:<a href="https://doi.org/10.1145/3360555">10.1145/3360555</a>'
  apa: 'Huang, M., Fu, H., Chatterjee, K., &#38; Goharshady, A. K. (2019). Modular
    verification for almost-sure termination of probabilistic programs. In <i>Proceedings
    of the 34th ACM International Conference on Object-Oriented Programming, Systems,
    Languages, and Applications </i> (Vol. 3). Athens, Greece: ACM. <a href="https://doi.org/10.1145/3360555">https://doi.org/10.1145/3360555</a>'
  chicago: Huang, Mingzhang, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar
    Goharshady. “Modular Verification for Almost-Sure Termination of Probabilistic
    Programs.” In <i>Proceedings of the 34th ACM International Conference on Object-Oriented
    Programming, Systems, Languages, and Applications </i>, Vol. 3. ACM, 2019. <a
    href="https://doi.org/10.1145/3360555">https://doi.org/10.1145/3360555</a>.
  ieee: M. Huang, H. Fu, K. Chatterjee, and A. K. Goharshady, “Modular verification
    for almost-sure termination of probabilistic programs,” in <i>Proceedings of the
    34th ACM International Conference on Object-Oriented Programming, Systems, Languages,
    and Applications </i>, Athens, Greece, 2019, vol. 3.
  ista: 'Huang M, Fu H, Chatterjee K, Goharshady AK. 2019. Modular verification for
    almost-sure termination of probabilistic programs. Proceedings of the 34th ACM
    International Conference on Object-Oriented Programming, Systems, Languages, and
    Applications . OOPSLA: Object-oriented Programming, Systems, Languages and Applications
    vol. 3, 129.'
  mla: Huang, Mingzhang, et al. “Modular Verification for Almost-Sure Termination
    of Probabilistic Programs.” <i>Proceedings of the 34th ACM International Conference
    on Object-Oriented Programming, Systems, Languages, and Applications </i>, vol.
    3, 129, ACM, 2019, doi:<a href="https://doi.org/10.1145/3360555">10.1145/3360555</a>.
  short: M. Huang, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings of the
    34th ACM International Conference on Object-Oriented Programming, Systems, Languages,
    and Applications , ACM, 2019.
conference:
  end_date: 2019-10-25
  location: Athens, Greece
  name: 'OOPSLA: Object-oriented Programming, Systems, Languages and Applications'
  start_date: 2019-10-23
date_created: 2019-08-09T09:54:20Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2025-06-02T08:53:47Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3360555
ec_funded: 1
external_id:
  arxiv:
  - '1901.06087'
file:
- access_level: open_access
  checksum: 3482d8ace6fb4991eb7810e3b70f1b9f
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  date_updated: 2020-07-14T12:47:40Z
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  file_size: 1024643
  relation: main_file
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  checksum: 4e5a6fb2b59a75222a4e8335a5a60eac
  content_type: application/pdf
  creator: dernst
  date_created: 2020-05-12T15:15:14Z
  date_updated: 2020-07-14T12:47:40Z
  file_id: '7821'
  file_name: 2019_ACM_Huang.pdf
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file_date_updated: 2020-07-14T12:47:40Z
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intvolume: '         3'
language:
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license: https://creativecommons.org/licenses/by-nc/4.0/
month: '10'
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: 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: 267066CE-B435-11E9-9278-68D0E5697425
  name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
  name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
    Contracts
publication: 'Proceedings of the 34th ACM International Conference on Object-Oriented
  Programming, Systems, Languages, and Applications '
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
status: public
title: Modular verification for almost-sure termination of probabilistic programs
tmp:
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  short: CC BY-NC (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 3
year: '2019'
...
---
_id: '6885'
abstract:
- lang: eng
  text: 'A vector addition system with states (VASS) consists of a finite set of states
    and counters. A configuration is a state and a value for each counter; a transition
    changes the state and each counter is incremented, decremented, or left unchanged.
    While qualitative properties such as state and configuration reachability have
    been studied for VASS, we consider the long-run average cost of infinite computations
    of VASS. The cost of a configuration is for each state, a linear combination of
    the counter values. In the special case of uniform cost functions, the linear
    combination is the same for all states. The (regular) long-run emptiness problem
    is, given a VASS, a cost function, and a threshold value, if there is a (lasso-shaped)
    computation such that the long-run average value of the cost function does not
    exceed the threshold. For uniform cost functions, we show that the regular long-run
    emptiness problem is (a) decidable in polynomial time for integer-valued VASS,
    and (b) decidable but nonelementarily hard for natural-valued VASS (i.e., nonnegative
    counters). For general cost functions, we show that the problem is (c) NP-complete
    for integer-valued VASS, and (d) undecidable for natural-valued VASS. Our most
    interesting result is for (c) integer-valued VASS with general cost functions,
    where we establish a connection between the regular long-run emptiness problem
    and quadratic Diophantine inequalities. The general (nonregular) long-run emptiness
    problem is equally hard as the regular problem in all cases except (c), where
    it remains open. '
alternative_title:
- LIPIcs
article_number: '27'
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
  last_name: Otop
citation:
  ama: 'Chatterjee K, Henzinger TA, Otop J. Long-run average behavior of vector addition
    systems with states. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2019. doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.27">10.4230/LIPICS.CONCUR.2019.27</a>'
  apa: 'Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2019). Long-run average
    behavior of vector addition systems with states (Vol. 140). Presented at the CONCUR:
    International Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.27">https://doi.org/10.4230/LIPICS.CONCUR.2019.27</a>'
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Long-Run Average
    Behavior of Vector Addition Systems with States,” Vol. 140. Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik, 2019. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.27">https://doi.org/10.4230/LIPICS.CONCUR.2019.27</a>.
  ieee: 'K. Chatterjee, T. A. Henzinger, and J. Otop, “Long-run average behavior of
    vector addition systems with states,” presented at the CONCUR: International Conference
    on Concurrency Theory, Amsterdam, Netherlands, 2019, vol. 140.'
  ista: 'Chatterjee K, Henzinger TA, Otop J. 2019. Long-run average behavior of vector
    addition systems with states. CONCUR: International Conference on Concurrency
    Theory, LIPIcs, vol. 140, 27.'
  mla: Chatterjee, Krishnendu, et al. <i>Long-Run Average Behavior of Vector Addition
    Systems with States</i>. Vol. 140, 27, Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2019, doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.27">10.4230/LIPICS.CONCUR.2019.27</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2019.
conference:
  end_date: 2019-08-30
  location: Amsterdam, Netherlands
  name: 'CONCUR: International Conference on Concurrency Theory'
  start_date: 2019-08-27
date_created: 2019-09-18T08:06:14Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:09:27Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.27
file:
- access_level: open_access
  checksum: 4985e26e1572d1575d64d38acabd71d6
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-09-27T12:09:35Z
  date_updated: 2020-07-14T12:47:43Z
  file_id: '6914'
  file_name: 2019_LIPIcs_Chatterjee.pdf
  file_size: 538120
  relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: '       140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Long-run average behavior of vector addition systems with states
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 140
year: '2019'
...
---
_id: '6887'
abstract:
- lang: eng
  text: 'The fundamental model-checking problem, given as input a model and a specification,
    asks for the algorithmic verification of whether the model satisfies the specification.
    Two classical models for reactive systems are graphs and Markov decision processes
    (MDPs). A basic specification formalism in the verification of reactive systems
    is the strong fairness (aka Streett) objective, where given different types of
    requests and corresponding grants, the requirement is that for each type, if the
    request event happens infinitely often, then the corresponding grant event must
    also happen infinitely often. All omega-regular objectives can be expressed as
    Streett objectives and hence they are canonical in verification. Consider graphs/MDPs
    with n vertices, m edges, and a Streett objectives with k pairs, and let b denote
    the size of the description of the Streett objective for the sets of requests
    and grants. The current best-known algorithm for the problem requires time O(min(n^2,
    m sqrt{m log n}) + b log n). In this work we present randomized near-linear time
    algorithms, with expected running time O~(m + b), where the O~ notation hides
    poly-log factors. Our randomized algorithms are near-linear in the size of the
    input, and hence optimal up to poly-log factors. '
alternative_title:
- LIPIcs
article_number: '7'
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: Wolfgang
  full_name: Dvorák, Wolfgang
  last_name: Dvorák
- 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, Dvorák W, Henzinger MH, Svozil A. Near-linear time algorithms
    for Streett objectives in graphs and MDPs. In: <i>Leibniz International Proceedings
    in Informatics</i>. Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2019. doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.7">10.4230/LIPICS.CONCUR.2019.7</a>'
  apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., &#38; Svozil, A. (2019). Near-linear
    time algorithms for Streett objectives in graphs and MDPs. In <i>Leibniz International
    Proceedings in Informatics</i> (Vol. 140). Amsterdam, Netherlands: Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.7">https://doi.org/10.4230/LIPICS.CONCUR.2019.7</a>'
  chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Alexander
    Svozil. “Near-Linear Time Algorithms for Streett Objectives in Graphs and MDPs.”
    In <i>Leibniz International Proceedings in Informatics</i>, Vol. 140. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2019. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.7">https://doi.org/10.4230/LIPICS.CONCUR.2019.7</a>.
  ieee: K. Chatterjee, W. Dvorák, M. H. Henzinger, and A. Svozil, “Near-linear time
    algorithms for Streett objectives in graphs and MDPs,” in <i>Leibniz International
    Proceedings in Informatics</i>, Amsterdam, Netherlands, 2019, vol. 140.
  ista: 'Chatterjee K, Dvorák W, Henzinger MH, Svozil A. 2019. Near-linear time algorithms
    for Streett objectives in graphs and MDPs. Leibniz International Proceedings in
    Informatics. CONCUR: International Conference on Concurrency Theory, LIPIcs, vol.
    140, 7.'
  mla: Chatterjee, Krishnendu, et al. “Near-Linear Time Algorithms for Streett Objectives
    in Graphs and MDPs.” <i>Leibniz International Proceedings in Informatics</i>,
    vol. 140, 7, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.7">10.4230/LIPICS.CONCUR.2019.7</a>.
  short: K. Chatterjee, W. Dvorák, M.H. Henzinger, A. Svozil, in:, Leibniz International
    Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2019.
conference:
  end_date: 2019-08-30
  location: Amsterdam, Netherlands
  name: 'CONCUR: International Conference on Concurrency Theory'
  start_date: 2019-08-27
date_created: 2019-09-18T08:07:58Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2022-08-12T10:54:34Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.7
ec_funded: 1
file:
- access_level: open_access
  checksum: e1f0e4061212454574f34a1368d018ec
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  creator: kschuh
  date_created: 2019-10-01T08:20:30Z
  date_updated: 2020-07-14T12:47:43Z
  file_id: '6922'
  file_name: 2019_LIPIcs_Chatterjee.pdf
  file_size: 730112
  relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: '       140'
language:
- iso: eng
month: '08'
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_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Near-linear time algorithms for Streett objectives in graphs and MDPs
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: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 140
year: '2019'
...
---
_id: '6889'
abstract:
- lang: eng
  text: 'We study Markov decision processes and turn-based stochastic games with parity
    conditions. There are three qualitative winning criteria, namely, sure winning,
    which requires all paths to satisfy the condition, almost-sure winning, which
    requires the condition to be satisfied with probability 1, and limit-sure winning,
    which requires the condition to be satisfied with probability arbitrarily close
    to 1. We study the combination of two of these criteria for parity conditions,
    e.g., there are two parity conditions one of which must be won surely, and the
    other almost-surely. The problem has been studied recently by Berthon et al. for
    MDPs with combination of sure and almost-sure winning, under infinite-memory strategies,
    and the problem has been established to be in NP cap co-NP. Even in MDPs there
    is a difference between finite-memory and infinite-memory strategies. Our main
    results for combination of sure and almost-sure winning are as follows: (a) we
    show that for MDPs with finite-memory strategies the problem is in NP cap co-NP;
    (b) we show that for turn-based stochastic games the problem is co-NP-complete,
    both for finite-memory and infinite-memory strategies; and (c) we present algorithmic
    results for the finite-memory case, both for MDPs and turn-based stochastic games,
    by reduction to non-stochastic parity games. In addition we show that all the
    above complexity results also carry over to combination of sure and limit-sure
    winning, and results for all other combinations can be derived from existing results
    in the literature. Thus we present a complete picture for the study of combinations
    of two qualitative winning criteria for parity conditions in MDPs and turn-based
    stochastic games. '
alternative_title:
- LIPIcs
article_number: '6'
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Nir
  full_name: Piterman, Nir
  last_name: Piterman
citation:
  ama: 'Chatterjee K, Piterman N. Combinations of Qualitative Winning for Stochastic
    Parity Games. In: Vol 140. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2019. doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.6">10.4230/LIPICS.CONCUR.2019.6</a>'
  apa: 'Chatterjee, K., &#38; Piterman, N. (2019). Combinations of Qualitative Winning
    for Stochastic Parity Games (Vol. 140). Presented at the CONCUR: International
    Conference on Concurrency Theory, Amsterdam, Netherlands: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.6">https://doi.org/10.4230/LIPICS.CONCUR.2019.6</a>'
  chicago: Chatterjee, Krishnendu, and Nir Piterman. “Combinations of Qualitative
    Winning for Stochastic Parity Games,” Vol. 140. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2019. <a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.6">https://doi.org/10.4230/LIPICS.CONCUR.2019.6</a>.
  ieee: 'K. Chatterjee and N. Piterman, “Combinations of Qualitative Winning for Stochastic
    Parity Games,” presented at the CONCUR: International Conference on Concurrency
    Theory, Amsterdam, Netherlands, 2019, vol. 140.'
  ista: 'Chatterjee K, Piterman N. 2019. Combinations of Qualitative Winning for Stochastic
    Parity Games. CONCUR: International Conference on Concurrency Theory, LIPIcs,
    vol. 140, 6.'
  mla: Chatterjee, Krishnendu, and Nir Piterman. <i>Combinations of Qualitative Winning
    for Stochastic Parity Games</i>. Vol. 140, 6, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2019, doi:<a href="https://doi.org/10.4230/LIPICS.CONCUR.2019.6">10.4230/LIPICS.CONCUR.2019.6</a>.
  short: K. Chatterjee, N. Piterman, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2019.
conference:
  end_date: 2019-08-30
  location: Amsterdam, Netherlands
  name: 'CONCUR: International Conference on Concurrency Theory'
  start_date: 2019-08-27
date_created: 2019-09-18T08:11:43Z
date_published: 2019-08-01T00:00:00Z
date_updated: 2021-01-12T08:09:28Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPICS.CONCUR.2019.6
file:
- access_level: open_access
  checksum: 7b2ecfd4d9d02360308c0ca986fc10a7
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-10-01T08:49:45Z
  date_updated: 2020-07-14T12:47:43Z
  file_id: '6923'
  file_name: 2019_LIPIcs_Chatterjee.pdf
  file_size: 509163
  relation: main_file
file_date_updated: 2020-07-14T12:47:43Z
has_accepted_license: '1'
intvolume: '       140'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _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
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Combinations of Qualitative Winning for Stochastic Parity 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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 140
year: '2019'
...
---
_id: '6942'
abstract:
- lang: eng
  text: "Graph games and Markov decision processes (MDPs) are standard models in reactive
    synthesis and verification of probabilistic systems with nondeterminism. The class
    of   \U0001D714 -regular winning conditions; e.g., safety, reachability, liveness,
    parity conditions; provides a robust and expressive specification formalism for
    properties that arise in analysis of reactive systems. The resolutions of nondeterminism
    in games and MDPs are represented as strategies, and we consider succinct representation
    of such strategies. The decision-tree data structure from machine learning retains
    the flavor of decisions of strategies and allows entropy-based minimization to
    obtain succinct trees. However, in contrast to traditional machine-learning problems
    where small errors are allowed, for winning strategies in graph games and MDPs
    no error is allowed, and the decision tree must represent the entire strategy.
    In this work we propose decision trees with linear classifiers for representation
    of strategies in graph games and MDPs. We have implemented strategy representation
    using this data structure and we present experimental results for problems on
    graph games and MDPs, which show that this new data structure presents a much
    more efficient strategy representation as compared to standard decision trees."
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Pranav
  full_name: Ashok, Pranav
  last_name: Ashok
- 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: Jan
  full_name: Křetínský, Jan
  last_name: Křetínský
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Viktor
  full_name: Toman, Viktor
  id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
  last_name: Toman
  orcid: 0000-0001-9036-063X
citation:
  ama: 'Ashok P, Brázdil T, Chatterjee K, Křetínský J, Lampert C, Toman V. Strategy
    representation by decision trees with linear classifiers. In: <i>16th International
    Conference on Quantitative Evaluation of Systems</i>. Vol 11785. Springer Nature;
    2019:109-128. doi:<a href="https://doi.org/10.1007/978-3-030-30281-8_7">10.1007/978-3-030-30281-8_7</a>'
  apa: 'Ashok, P., Brázdil, T., Chatterjee, K., Křetínský, J., Lampert, C., &#38;
    Toman, V. (2019). Strategy representation by decision trees with linear classifiers.
    In <i>16th International Conference on Quantitative Evaluation of Systems</i>
    (Vol. 11785, pp. 109–128). Glasgow, United Kingdom: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-30281-8_7">https://doi.org/10.1007/978-3-030-30281-8_7</a>'
  chicago: Ashok, Pranav, Tomáš Brázdil, Krishnendu Chatterjee, Jan Křetínský, Christoph
    Lampert, and Viktor Toman. “Strategy Representation by Decision Trees with Linear
    Classifiers.” In <i>16th International Conference on Quantitative Evaluation of
    Systems</i>, 11785:109–28. Springer Nature, 2019. <a href="https://doi.org/10.1007/978-3-030-30281-8_7">https://doi.org/10.1007/978-3-030-30281-8_7</a>.
  ieee: P. Ashok, T. Brázdil, K. Chatterjee, J. Křetínský, C. Lampert, and V. Toman,
    “Strategy representation by decision trees with linear classifiers,” in <i>16th
    International Conference on Quantitative Evaluation of Systems</i>, Glasgow, United
    Kingdom, 2019, vol. 11785, pp. 109–128.
  ista: 'Ashok P, Brázdil T, Chatterjee K, Křetínský J, Lampert C, Toman V. 2019.
    Strategy representation by decision trees with linear classifiers. 16th International
    Conference on Quantitative Evaluation of Systems. QEST: Quantitative Evaluation
    of Systems, LNCS, vol. 11785, 109–128.'
  mla: Ashok, Pranav, et al. “Strategy Representation by Decision Trees with Linear
    Classifiers.” <i>16th International Conference on Quantitative Evaluation of Systems</i>,
    vol. 11785, Springer Nature, 2019, pp. 109–28, doi:<a href="https://doi.org/10.1007/978-3-030-30281-8_7">10.1007/978-3-030-30281-8_7</a>.
  short: P. Ashok, T. Brázdil, K. Chatterjee, J. Křetínský, C. Lampert, V. Toman,
    in:, 16th International Conference on Quantitative Evaluation of Systems, Springer
    Nature, 2019, pp. 109–128.
conference:
  end_date: 2019-09-12
  location: Glasgow, United Kingdom
  name: 'QEST: Quantitative Evaluation of Systems'
  start_date: 2019-09-10
date_created: 2019-10-14T06:57:49Z
date_published: 2019-09-04T00:00:00Z
date_updated: 2025-06-02T08:53:47Z
day: '04'
department:
- _id: KrCh
- _id: ChLa
doi: 10.1007/978-3-030-30281-8_7
external_id:
  arxiv:
  - '1906.08178'
  isi:
  - '000679281300007'
intvolume: '     11785'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1906.08178
month: '09'
oa: 1
oa_version: Preprint
page: 109-128
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11402-N23
  name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
  grant_number: ICT15-003
  name: Efficient Algorithms for Computer Aided Verification
publication: 16th International Conference on Quantitative Evaluation of Systems
publication_identifier:
  eisbn:
  - '9783030302818'
  isbn:
  - '9783030302801'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strategy representation by decision trees with linear classifiers
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11785
year: '2019'
...
---
_id: '7158'
abstract:
- lang: eng
  text: "Interprocedural analysis is at the heart of numerous applications in programming
    languages, such as alias analysis, constant propagation, and so on. Recursive
    state machines (RSMs) are standard models for interprocedural analysis. We consider
    a general framework with RSMs where the transitions are labeled from a semiring
    and path properties are algebraic with semiring operations. RSMs with algebraic
    path properties can model interprocedural dataflow analysis problems, the shortest
    path problem, the most probable path problem, and so on. The traditional algorithms
    for interprocedural analysis focus on path properties where the starting point
    is fixed as the entry point of a specific method. In this work, we consider possible
    multiple queries as required in many applications such as in alias analysis. The
    study of multiple queries allows us to bring in an important algorithmic distinction
    between the resource usage of the one-time preprocessing vs for each individual
    query. The second aspect we consider is that the control flow graphs for most
    programs have constant treewidth.\r\n\r\nOur main contributions are simple and
    implementable algorithms that support multiple queries for algebraic path properties
    for RSMs that have constant treewidth. Our theoretical results show that our algorithms
    have small additional one-time preprocessing but can answer subsequent queries
    significantly faster as compared to the current algorithmic solutions for interprocedural
    dataflow analysis. We have also implemented our algorithms and evaluated their
    performance for performing on-demand interprocedural dataflow analysis on various
    domains, such as for live variable analysis and reaching definitions, on a standard
    benchmark set. Our experimental results align with our theoretical statements
    and show that after a lightweight preprocessing, on-demand queries are answered
    much faster than the standard existing algorithmic approaches.\r\n"
article_number: '23'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Prateesh
  full_name: Goyal, Prateesh
  last_name: Goyal
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster
    algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
    <i>ACM Transactions on Programming Languages and Systems</i>. 2019;41(4). doi:<a
    href="https://doi.org/10.1145/3363525">10.1145/3363525</a>
  apa: Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., &#38; Pavlogiannis,
    A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with
    constant treewidth. <i>ACM Transactions on Programming Languages and Systems</i>.
    ACM. <a href="https://doi.org/10.1145/3363525">https://doi.org/10.1145/3363525</a>
  chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus
    Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic
    Queries in Basic RSMs with Constant Treewidth.” <i>ACM Transactions on Programming
    Languages and Systems</i>. ACM, 2019. <a href="https://doi.org/10.1145/3363525">https://doi.org/10.1145/3363525</a>.
  ieee: K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis,
    “Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,”
    <i>ACM Transactions on Programming Languages and Systems</i>, vol. 41, no. 4.
    ACM, 2019.
  ista: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019.
    Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
    ACM Transactions on Programming Languages and Systems. 41(4), 23.
  mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries
    in Basic RSMs with Constant Treewidth.” <i>ACM Transactions on Programming Languages
    and Systems</i>, vol. 41, no. 4, 23, ACM, 2019, doi:<a href="https://doi.org/10.1145/3363525">10.1145/3363525</a>.
  short: K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis,
    ACM Transactions on Programming Languages and Systems 41 (2019).
date_created: 2019-12-09T08:33:33Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2024-03-25T23:30:19Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3363525
ec_funded: 1
external_id:
  isi:
  - '000564108400004'
file:
- access_level: open_access
  checksum: 291cc86a07bd010d4815e177dac57b70
  content_type: application/pdf
  creator: dernst
  date_created: 2020-10-08T12:58:10Z
  date_updated: 2020-10-08T12:58:10Z
  file_id: '8632'
  file_name: 2019_ACMTransactions_Chatterjee.pdf
  file_size: 667357
  relation: main_file
  success: 1
file_date_updated: 2020-10-08T12:58:10Z
has_accepted_license: '1'
intvolume: '        41'
isi: 1
issue: '4'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted 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: ACM Transactions on Programming Languages and Systems
publication_identifier:
  issn:
  - 0164-0925
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
  record:
  - id: '8934'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Faster algorithms for dynamic algebraic queries in basic RSMs with constant
  treewidth
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 41
year: '2019'
...
---
_id: '7231'
abstract:
- lang: eng
  text: Piecewise Barrier Tubes (PBT) is a new technique for flowpipe overapproximation
    for nonlinear systems with polynomial dynamics, which leverages a combination
    of barrier certificates. PBT has advantages over traditional time-step based methods
    in dealing with those nonlinear dynamical systems in which there is a large difference
    in speed between trajectories, producing an overapproximation that is time independent.
    However, the existing approach for PBT is not efficient due to the application
    of interval methods for enclosure-box computation, and it can only deal with continuous
    dynamical systems without uncertainty. In this paper, we extend the approach with
    the ability to handle both continuous and hybrid dynamical systems with uncertainty
    that can reside in parameters and/or noise. We also improve the efficiency of
    the method significantly, by avoiding the use of interval-based methods for the
    enclosure-box computation without loosing soundness. We have developed a C++ prototype
    implementing the proposed approach and we evaluate it on several benchmarks. The
    experiments show that our approach is more efficient and precise than other methods
    in the literature.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Hui
  full_name: Kong, Hui
  id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87
  last_name: Kong
  orcid: 0000-0002-3066-6941
- first_name: Ezio
  full_name: Bartocci, Ezio
  last_name: Bartocci
- first_name: Yu
  full_name: Jiang, Yu
  last_name: Jiang
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
citation:
  ama: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. Piecewise robust barrier tubes
    for nonlinear hybrid systems with uncertainty. In: <i>17th International Conference
    on Formal Modeling and Analysis of Timed Systems</i>. Vol 11750. Springer Nature;
    2019:123-141. doi:<a href="https://doi.org/10.1007/978-3-030-29662-9_8">10.1007/978-3-030-29662-9_8</a>'
  apa: 'Kong, H., Bartocci, E., Jiang, Y., &#38; Henzinger, T. A. (2019). Piecewise
    robust barrier tubes for nonlinear hybrid systems with uncertainty. In <i>17th
    International Conference on Formal Modeling and Analysis of Timed Systems</i>
    (Vol. 11750, pp. 123–141). Amsterdam, The Netherlands: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-29662-9_8">https://doi.org/10.1007/978-3-030-29662-9_8</a>'
  chicago: Kong, Hui, Ezio Bartocci, Yu Jiang, and Thomas A Henzinger. “Piecewise
    Robust Barrier Tubes for Nonlinear Hybrid Systems with Uncertainty.” In <i>17th
    International Conference on Formal Modeling and Analysis of Timed Systems</i>,
    11750:123–41. Springer Nature, 2019. <a href="https://doi.org/10.1007/978-3-030-29662-9_8">https://doi.org/10.1007/978-3-030-29662-9_8</a>.
  ieee: H. Kong, E. Bartocci, Y. Jiang, and T. A. Henzinger, “Piecewise robust barrier
    tubes for nonlinear hybrid systems with uncertainty,” in <i>17th International
    Conference on Formal Modeling and Analysis of Timed Systems</i>, Amsterdam, The
    Netherlands, 2019, vol. 11750, pp. 123–141.
  ista: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. 2019. Piecewise robust barrier
    tubes for nonlinear hybrid systems with uncertainty. 17th International Conference
    on Formal Modeling and Analysis of Timed Systems. FORMATS: Formal Modeling and
    Analysis of Timed Systems, LNCS, vol. 11750, 123–141.'
  mla: Kong, Hui, et al. “Piecewise Robust Barrier Tubes for Nonlinear Hybrid Systems
    with Uncertainty.” <i>17th International Conference on Formal Modeling and Analysis
    of Timed Systems</i>, vol. 11750, Springer Nature, 2019, pp. 123–41, doi:<a href="https://doi.org/10.1007/978-3-030-29662-9_8">10.1007/978-3-030-29662-9_8</a>.
  short: H. Kong, E. Bartocci, Y. Jiang, T.A. Henzinger, in:, 17th International Conference
    on Formal Modeling and Analysis of Timed Systems, Springer Nature, 2019, pp. 123–141.
conference:
  end_date: 2019-08-29
  location: Amsterdam, The Netherlands
  name: 'FORMATS: Formal Modeling and Analysis of Timed Systems'
  start_date: 2019-08-27
date_created: 2020-01-05T23:00:47Z
date_published: 2019-08-13T00:00:00Z
date_updated: 2023-09-06T14:55:15Z
day: '13'
department:
- _id: ToHe
doi: 10.1007/978-3-030-29662-9_8
external_id:
  arxiv:
  - '1907.11514'
  isi:
  - '000611677700008'
intvolume: '     11750'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1907.11514
month: '08'
oa: 1
oa_version: Preprint
page: 123-141
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z211
  name: The Wittgenstein Prize
publication: 17th International Conference on Formal Modeling and Analysis of Timed
  Systems
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - 978-3-0302-9661-2
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 11750
year: '2019'
...
