---
_id: '523'
abstract:
- lang: eng
  text: We consider two-player games played on weighted directed graphs with mean-payoff
    and total-payoff objectives, two classical quantitative objectives. While for
    single-dimensional games the complexity and memory bounds for both objectives
    coincide, we show that in contrast to multi-dimensional mean-payoff games that
    are known to be coNP-complete, multi-dimensional total-payoff games are undecidable.
    We introduce conservative approximations of these objectives, where the payoff
    is considered over a local finite window sliding along a play, instead of the
    whole play. For single dimension, we show that (i) if the window size is polynomial,
    deciding the winner takes polynomial time, and (ii) the existence of a bounded
    window can be decided in NP ∩ coNP, and is at least as hard as solving mean-payoff
    games. For multiple dimensions, we show that (i) the problem with fixed window
    size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to
    decide the existence of a bounded window.
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: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
- first_name: Mickael
  full_name: Randour, Mickael
  last_name: Randour
- first_name: Jean
  full_name: Raskin, Jean
  last_name: Raskin
citation:
  ama: Chatterjee K, Doyen L, Randour M, Raskin J. Looking at mean-payoff and total-payoff
    through windows. <i>Information and Computation</i>. 2015;242(6):25-52. doi:<a
    href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>
  apa: Chatterjee, K., Doyen, L., Randour, M., &#38; Raskin, J. (2015). Looking at
    mean-payoff and total-payoff through windows. <i>Information and Computation</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>
  chicago: Chatterjee, Krishnendu, Laurent Doyen, Mickael Randour, and Jean Raskin.
    “Looking at Mean-Payoff and Total-Payoff through Windows.” <i>Information and
    Computation</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.ic.2015.03.010">https://doi.org/10.1016/j.ic.2015.03.010</a>.
  ieee: K. Chatterjee, L. Doyen, M. Randour, and J. Raskin, “Looking at mean-payoff
    and total-payoff through windows,” <i>Information and Computation</i>, vol. 242,
    no. 6. Elsevier, pp. 25–52, 2015.
  ista: Chatterjee K, Doyen L, Randour M, Raskin J. 2015. Looking at mean-payoff and
    total-payoff through windows. Information and Computation. 242(6), 25–52.
  mla: Chatterjee, Krishnendu, et al. “Looking at Mean-Payoff and Total-Payoff through
    Windows.” <i>Information and Computation</i>, vol. 242, no. 6, Elsevier, 2015,
    pp. 25–52, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.010">10.1016/j.ic.2015.03.010</a>.
  short: K. Chatterjee, L. Doyen, M. Randour, J. Raskin, Information and Computation
    242 (2015) 25–52.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-03-24T00:00:00Z
date_updated: 2025-09-23T09:29:55Z
day: '24'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.010
ec_funded: 1
external_id:
  arxiv:
  - '1302.4248'
  isi:
  - '000355664900003'
intvolume: '       242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1302.4248
month: '03'
oa: 1
oa_version: Preprint
page: 25 - 52
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7296'
quality_controlled: '1'
related_material:
  record:
  - id: '2279'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Looking at mean-payoff and total-payoff through windows
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '524'
abstract:
- lang: eng
  text: 'We consider concurrent games played by two players on a finite-state graph,
    where in every round the players simultaneously choose a move, and the current
    state along with the joint moves determine the successor state. We study the most
    fundamental objective for concurrent games, namely, mean-payoff or limit-average
    objective, where a reward is associated to each transition, and the goal of player
    1 is to maximize the long-run average of the rewards, and the objective of player
    2 is strictly the opposite (i.e., the games are zero-sum). The path constraint
    for player 1 could be qualitative, i.e., the mean-payoff is the maximal reward,
    or arbitrarily close to it; or quantitative, i.e., a given threshold between the
    minimal and maximal reward. We consider the computation of the almost-sure (resp.
    positive) winning sets, where player 1 can ensure that the path constraint is
    satisfied with probability 1 (resp. positive probability). Almost-sure winning
    with qualitative constraint exactly corresponds to the question of whether there
    exists a strategy to ensure that the payoff is the maximal reward of the game.
    Our main results for qualitative path constraints are as follows: (1) we establish
    qualitative determinacy results that show that for every state either player 1
    has a strategy to ensure almost-sure (resp. positive) winning against all player-2
    strategies, or player 2 has a spoiling strategy to falsify almost-sure (resp.
    positive) winning against all player-1 strategies; (2) we present optimal strategy
    complexity results that precisely characterize the classes of strategies required
    for almost-sure and positive winning for both players; and (3) we present quadratic
    time algorithms to compute the almost-sure and the positive winning sets, matching
    the best known bound of the algorithms for much simpler problems (such as reachability
    objectives). For quantitative constraints we show that a polynomial time solution
    for the almost-sure or the positive winning set would imply a solution to a long-standing
    open problem (of solving the value problem of turn-based deterministic mean-payoff
    games) that is not known to be solvable in polynomial time.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
citation:
  ama: Chatterjee K, Ibsen-Jensen R. Qualitative analysis of concurrent mean payoff
    games. <i>Information and Computation</i>. 2015;242(6):2-24. doi:<a href="https://doi.org/10.1016/j.ic.2015.03.009">10.1016/j.ic.2015.03.009</a>
  apa: Chatterjee, K., &#38; Ibsen-Jensen, R. (2015). Qualitative analysis of concurrent
    mean payoff games. <i>Information and Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.ic.2015.03.009">https://doi.org/10.1016/j.ic.2015.03.009</a>
  chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis
    of Concurrent Mean Payoff Games.” <i>Information and Computation</i>. Elsevier,
    2015. <a href="https://doi.org/10.1016/j.ic.2015.03.009">https://doi.org/10.1016/j.ic.2015.03.009</a>.
  ieee: K. Chatterjee and R. Ibsen-Jensen, “Qualitative analysis of concurrent mean
    payoff games,” <i>Information and Computation</i>, vol. 242, no. 6. Elsevier,
    pp. 2–24, 2015.
  ista: Chatterjee K, Ibsen-Jensen R. 2015. Qualitative analysis of concurrent mean
    payoff games. Information and Computation. 242(6), 2–24.
  mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis of Concurrent
    Mean Payoff Games.” <i>Information and Computation</i>, vol. 242, no. 6, Elsevier,
    2015, pp. 2–24, doi:<a href="https://doi.org/10.1016/j.ic.2015.03.009">10.1016/j.ic.2015.03.009</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, Information and Computation 242 (2015) 2–24.
corr_author: '1'
date_created: 2018-12-11T11:46:57Z
date_published: 2015-10-11T00:00:00Z
date_updated: 2025-09-23T09:56:28Z
day: '11'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.009
external_id:
  arxiv:
  - '1409.5306'
  isi:
  - '000355664900002'
intvolume: '       242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1409.5306
month: '10'
oa: 1
oa_version: Preprint
page: 2 - 24
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7295'
quality_controlled: '1'
related_material:
  record:
  - id: '5403'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Qualitative analysis of concurrent mean payoff games
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '532'
abstract:
- lang: eng
  text: Ethylene is a gaseous phytohormone that plays vital roles in plant growth
    and development. Previous studies uncovered EIN2 as an essential signal transducer
    linking ethylene perception on ER to transcriptional regulation in the nucleus
    through a “cleave and shuttle” model. In this study, we report another mechanism
    of EIN2-mediated ethylene signaling, whereby EIN2 imposes the translational repression
    of EBF1 and EBF2 mRNA. We find that the EBF1/2 3′ UTRs mediate EIN2-directed translational
    repression and identify multiple poly-uridylates (PolyU) motifs as functional
    cis elements of 3′ UTRs. Furthermore, we demonstrate that ethylene induces EIN2
    to associate with 3′ UTRs and target EBF1/2 mRNA to cytoplasmic processing-body
    (P-body) through interacting with multiple P-body factors, including EIN5 and
    PABs. Our study illustrates translational regulation as a key step in ethylene
    signaling and presents mRNA 3′ UTR functioning as a “signal transducer” to sense
    and relay cellular signaling in plants.
article_processing_charge: No
author:
- first_name: Wenyang
  full_name: Li, Wenyang
  last_name: Li
- first_name: Mengdi
  full_name: Ma, Mengdi
  last_name: Ma
- first_name: Ying
  full_name: Feng, Ying
  last_name: Feng
- first_name: Hongjiang
  full_name: Li, Hongjiang
  id: 33CA54A6-F248-11E8-B48F-1D18A9856A87
  last_name: Li
  orcid: 0000-0001-5039-9660
- first_name: Yichuan
  full_name: Wang, Yichuan
  last_name: Wang
- first_name: Yutong
  full_name: Ma, Yutong
  last_name: Ma
- first_name: Mingzhe
  full_name: Li, Mingzhe
  last_name: Li
- first_name: Fengying
  full_name: An, Fengying
  last_name: An
- first_name: Hongwei
  full_name: Guo, Hongwei
  last_name: Guo
citation:
  ama: Li W, Ma M, Feng Y, et al. EIN2-directed translational regulation of ethylene
    signaling in arabidopsis. <i>Cell</i>. 2015;163(3):670-683. doi:<a href="https://doi.org/10.1016/j.cell.2015.09.037">10.1016/j.cell.2015.09.037</a>
  apa: Li, W., Ma, M., Feng, Y., Li, H., Wang, Y., Ma, Y., … Guo, H. (2015). EIN2-directed
    translational regulation of ethylene signaling in arabidopsis. <i>Cell</i>. Cell
    Press. <a href="https://doi.org/10.1016/j.cell.2015.09.037">https://doi.org/10.1016/j.cell.2015.09.037</a>
  chicago: Li, Wenyang, Mengdi Ma, Ying Feng, Hongjiang Li, Yichuan Wang, Yutong Ma,
    Mingzhe Li, Fengying An, and Hongwei Guo. “EIN2-Directed Translational Regulation
    of Ethylene Signaling in Arabidopsis.” <i>Cell</i>. Cell Press, 2015. <a href="https://doi.org/10.1016/j.cell.2015.09.037">https://doi.org/10.1016/j.cell.2015.09.037</a>.
  ieee: W. Li <i>et al.</i>, “EIN2-directed translational regulation of ethylene signaling
    in arabidopsis,” <i>Cell</i>, vol. 163, no. 3. Cell Press, pp. 670–683, 2015.
  ista: Li W, Ma M, Feng Y, Li H, Wang Y, Ma Y, Li M, An F, Guo H. 2015. EIN2-directed
    translational regulation of ethylene signaling in arabidopsis. Cell. 163(3), 670–683.
  mla: Li, Wenyang, et al. “EIN2-Directed Translational Regulation of Ethylene Signaling
    in Arabidopsis.” <i>Cell</i>, vol. 163, no. 3, Cell Press, 2015, pp. 670–83, doi:<a
    href="https://doi.org/10.1016/j.cell.2015.09.037">10.1016/j.cell.2015.09.037</a>.
  short: W. Li, M. Ma, Y. Feng, H. Li, Y. Wang, Y. Ma, M. Li, F. An, H. Guo, Cell
    163 (2015) 670–683.
date_created: 2018-12-11T11:47:00Z
date_published: 2015-10-22T00:00:00Z
date_updated: 2025-09-23T08:40:43Z
day: '22'
department:
- _id: JiFr
doi: 10.1016/j.cell.2015.09.037
external_id:
  isi:
  - '000364828900020'
intvolume: '       163'
isi: 1
issue: '3'
language:
- iso: eng
month: '10'
oa_version: None
page: 670 - 683
publication: Cell
publication_status: published
publisher: Cell Press
publist_id: '7285'
quality_controlled: '1'
scopus_import: '1'
status: public
title: EIN2-directed translational regulation of ethylene signaling in arabidopsis
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 163
year: '2015'
...
---
_id: '5429'
abstract:
- lang: eng
  text: "We consider Markov decision processes (MDPs) with multiple limit-average
    (or mean-payoff) objectives. \r\nThere have been two different views: (i) the
    expectation semantics, where the goal is to optimize the expected mean-payoff
    objective, and (ii) the satisfaction semantics, where the goal is to maximize
    the probability of runs such that the mean-payoff value stays above a given vector.
    \ \r\nWe consider the problem where the goal is to optimize the expectation under
    the constraint that the satisfaction semantics is ensured, and thus consider a
    generalization that unifies the existing semantics.\r\nOur problem captures the
    notion of optimization with respect to strategies that are risk-averse (i.e.,
    ensures certain probabilistic guarantee).\r\nOur main results are algorithms for
    the decision problem which are always polynomial in the size of the MDP. We also
    show that an approximation of the Pareto-curve can be computed in time polynomial
    in the size of the MDP, and the approximation factor, but exponential in the number
    of dimensions.\r\nFinally, we present a complete characterization of the strategy
    complexity (in terms of memory bounds and randomization) required to solve our
    problem."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Zuzana
  full_name: Komarkova, Zuzana
  last_name: Komarkova
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
citation:
  ama: Chatterjee K, Komarkova Z, Kretinsky J. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v1-1">10.15479/AT:IST-2015-318-v1-1</a>
  apa: Chatterjee, K., Komarkova, Z., &#38; Kretinsky, J. (2015). <i>Unifying two
    views on multiple mean-payoff objectives in Markov decision processes</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-318-v1-1">https://doi.org/10.15479/AT:IST-2015-318-v1-1</a>
  chicago: Chatterjee, Krishnendu, Zuzana Komarkova, and Jan Kretinsky. <i>Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-318-v1-1">https://doi.org/10.15479/AT:IST-2015-318-v1-1</a>.
  ieee: K. Chatterjee, Z. Komarkova, and J. Kretinsky, <i>Unifying two views on multiple
    mean-payoff objectives in Markov decision processes</i>. IST Austria, 2015.
  ista: Chatterjee K, Komarkova Z, Kretinsky J. 2015. Unifying two views on multiple
    mean-payoff objectives in Markov decision processes, IST Austria, 41p.
  mla: Chatterjee, Krishnendu, et al. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v1-1">10.15479/AT:IST-2015-318-v1-1</a>.
  short: K. Chatterjee, Z. Komarkova, J. Kretinsky, Unifying Two Views on Multiple
    Mean-Payoff Objectives in Markov Decision Processes, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-01-12T00:00:00Z
date_updated: 2025-09-29T11:00:42Z
day: '12'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-318-v1-1
file:
- access_level: open_access
  checksum: e4869a584567c506349abda9c8ec7db3
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:11Z
  date_updated: 2020-07-14T12:46:52Z
  file_id: '5533'
  file_name: IST-2015-318-v1+1_main.pdf
  file_size: 689863
  relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '41'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '318'
related_material:
  record:
  - id: '5435'
    relation: later_version
    status: public
  - id: '466'
    relation: later_version
    status: public
  - id: '1657'
    relation: later_version
    status: public
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5430'
abstract:
- lang: eng
  text: We consider the core algorithmic problems related to verification of systems
    with respect to three classical quantitative properties, namely, the mean- payoff
    property, the ratio property, and the minimum initial credit for energy property.
    The algorithmic problem given a graph and a quantitative property asks to compute
    the optimal value (the infimum value over all traces) from every node of the graph.
    We consider graphs with constant treewidth, and it is well-known that the control-flow
    graphs of most programs have constant treewidth. Let n denote the number of nodes
    of a graph, m the number of edges (for constant treewidth graphs m = O ( n ) )
    and W the largest absolute value of the weights. Our main theoretical results
    are as follows. First, for constant treewidth graphs we present an algorithm that
    approximates the mean-payoff value within a mul- tiplicative factor of ∊ in time
    O ( n · log( n/∊ )) and linear space, as compared to the classical algorithms
    that require quadratic time. Second, for the ratio property we present an algorithm
    that for constant treewidth graphs works in time O ( n · log( | a · b · n | ))
    = O ( n · log( n · W )) , when the output is a b , as compared to the previously
    best known algorithm with running time O ( n 2 · log( n · W )) . Third, for the
    minimum initial credit problem we show that (i) for general graphs the problem
    can be solved in O ( n 2 · m ) time and the associated decision problem can be
    solved in O ( n · m ) time, improving the previous known O ( n 3 · m · log( n
    · W )) and O ( n 2 · m ) bounds, respectively; and (ii) for constant treewidth
    graphs we present an algorithm that requires O ( n · log n ) time, improving the
    previous known O ( n 4 · log( n · W )) bound. We have implemented some of our
    algorithms and show that they present a significant speedup on standard benchmarks.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. <i>Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">10.15479/AT:IST-2015-319-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2015). <i>Faster
    algorithms for quantitative verification in constant treewidth graphs</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">https://doi.org/10.15479/AT:IST-2015-319-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
    <i>Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">https://doi.org/10.15479/AT:IST-2015-319-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, <i>Faster algorithms
    for quantitative verification in constant treewidth graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
    quantitative verification in constant treewidth graphs, IST Austria, 31p.
  mla: Chatterjee, Krishnendu, et al. <i>Faster Algorithms for Quantitative Verification
    in Constant Treewidth Graphs</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-319-v1-1">10.15479/AT:IST-2015-319-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-10T00:00:00Z
date_updated: 2025-09-23T08:47:23Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-319-v1-1
file:
- access_level: open_access
  checksum: 62c6ea01e342553dcafb88a070fb1ad5
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:21Z
  date_updated: 2020-07-14T12:46:52Z
  file_id: '5482'
  file_name: IST-2015-319-v1+1_long.pdf
  file_size: 1089651
  relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '31'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '319'
related_material:
  record:
  - id: '5437'
    relation: later_version
    status: public
  - id: '1607'
    relation: later_version
    status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5431'
abstract:
- lang: eng
  text: "We consider finite-state concurrent stochastic games, played by k>=2 players
    for an infinite number of rounds, where in every round, each player simultaneously
    and independently of the other players chooses an action, whereafter the successor
    state is determined by a probability distribution given by the current state and
    the chosen actions. We consider reachability objectives that given a target set
    of states require that some state in the target set is visited, and the dual safety
    objectives that given a target set require that only states in the target set
    are visited. We are interested in the complexity of stationary strategies measured
    by their patience, which is defined as the inverse of the smallest non-zero probability
    employed.\r\n\r\n Our main results are as follows: We show that in two-player
    zero-sum concurrent stochastic games (with reachability objective for one player
    and the complementary safety objective for the other player): (i) the optimal
    bound on the patience of optimal and epsilon-optimal strategies, for both players
    is doubly exponential; and (ii) even in games with a single non-absorbing state
    exponential (in the number of actions) patience is necessary. In general we study
    the class of non-zero-sum games admitting epsilon-Nash equilibria. We show that
    if there is at least one player with reachability objective, then doubly-exponential
    patience is needed in general for epsilon-Nash equilibrium strategies, whereas
    in contrast if all players have safety objectives, then the optimal bound on patience
    for epsilon-Nash equilibrium strategies is only exponential."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Kristoffer
  full_name: Hansen, Kristoffer
  last_name: Hansen
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Hansen K. <i>The Patience of Concurrent Stochastic
    Games with Safety and Reachability Objectives</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">10.15479/AT:IST-2015-322-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Hansen, K. (2015). <i>The patience
    of concurrent stochastic games with safety and reachability objectives</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">https://doi.org/10.15479/AT:IST-2015-322-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Kristoffer Hansen. <i>The
    Patience of Concurrent Stochastic Games with Safety and Reachability Objectives</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">https://doi.org/10.15479/AT:IST-2015-322-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and K. Hansen, <i>The patience of concurrent
    stochastic games with safety and reachability objectives</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Hansen K. 2015. The patience of concurrent stochastic
    games with safety and reachability objectives, IST Austria, 25p.
  mla: Chatterjee, Krishnendu, et al. <i>The Patience of Concurrent Stochastic Games
    with Safety and Reachability Objectives</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-322-v1-1">10.15479/AT:IST-2015-322-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, K. Hansen, The Patience of Concurrent Stochastic
    Games with Safety and Reachability Objectives, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2021-01-12T08:02:13Z
day: '19'
ddc:
- '005'
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-322-v1-1
file:
- access_level: open_access
  checksum: bfb858262c30445b8e472c40069178a2
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:31Z
  date_updated: 2020-07-14T12:46:53Z
  file_id: '5491'
  file_name: IST-2015-322-v1+1_safetygames.pdf
  file_size: 661015
  relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '322'
status: public
title: The patience of concurrent stochastic games with safety and reachability objectives
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5432'
abstract:
- lang: eng
  text: "Evolution occurs in populations of reproducing individuals. The structure
    of the population affects the outcome of the evolutionary process. Evolutionary
    graph theory is a powerful approach to study this phenomenon. There are two graphs.
    The interaction graph specifies who interacts with whom in the context of evolution.The
    replacement graph specifies who competes with whom for reproduction. \r\nThe vertices
    of the two graphs are the same, and each vertex corresponds to an individual of
    the population. A key quantity is the fixation probability of a new mutant. It
    is defined as the probability that a newly introduced mutant (on a single vertex)
    generates a lineage of offspring which eventually takes over the entire population
    of resident individuals. The basic computational questions are as follows: (i)
    the qualitative question asks whether the fixation probability is positive; and
    (ii) the quantitative approximation question asks for an approximation of the
    fixation probability. \r\nOur main results are:\r\n(1) We show that the qualitative
    question is NP-complete and the quantitative approximation question is #P-hard
    in the special case when the interaction and the replacement graphs coincide and
    even with the restriction that the resident individuals do not reproduce (which
    corresponds to an invading population taking over an empty structure).\r\n(2)
    We show that in general the qualitative question is PSPACE-complete and the quantitative
    approximation question is PSPACE-hard and can be solved in exponential time.\r\n"
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Nowak M. <i>The Complexity of Evolutionary Games
    on Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">10.15479/AT:IST-2015-323-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Nowak, M. (2015). <i>The complexity
    of evolutionary games on graphs</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">https://doi.org/10.15479/AT:IST-2015-323-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. <i>The Complexity
    of Evolutionary Games on Graphs</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">https://doi.org/10.15479/AT:IST-2015-323-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, <i>The complexity of evolutionary
    games on graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
    games on graphs, IST Austria, 29p.
  mla: Chatterjee, Krishnendu, et al. <i>The Complexity of Evolutionary Games on Graphs</i>.
    IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v1-1">10.15479/AT:IST-2015-323-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
    Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:18Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2023-02-23T12:26:33Z
day: '19'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v1-1
file:
- access_level: open_access
  checksum: 546c1b291d545e7b24aaaf4199dac671
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:57Z
  date_updated: 2020-07-14T12:46:53Z
  file_id: '5519'
  file_name: IST-2015-323-v1+1_main.pdf
  file_size: 576347
  relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '323'
related_material:
  record:
  - id: '5421'
    relation: earlier_version
    status: public
  - id: '5440'
    relation: later_version
    status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5435'
abstract:
- lang: eng
  text: "We consider Markov decision processes (MDPs) with multiple limit-average
    (or mean-payoff) objectives. \r\nThere have been two different views: (i) the
    expectation semantics, where the goal is to optimize the expected mean-payoff
    objective, and (ii) the satisfaction semantics, where the goal is to maximize
    the probability of runs such that the mean-payoff value stays above a given vector.
    \ \r\nWe consider the problem where the goal is to optimize the expectation under
    the constraint that the satisfaction semantics is ensured, and thus consider a
    generalization that unifies the existing semantics. Our problem captures the notion
    of optimization with respect to strategies that are risk-averse (i.e., ensures
    certain probabilistic guarantee).\r\nOur main results are algorithms for the decision
    problem which are always polynomial in the size of the MDP.\r\nWe also show that
    an approximation of the Pareto-curve can be computed in time polynomial in the
    size of the MDP, and the approximation factor, but exponential in the number of
    dimensions. Finally, we present a complete characterization of the strategy complexity
    (in terms of memory bounds and randomization) required to solve our problem."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Zuzana
  full_name: Komarkova, Zuzana
  last_name: Komarkova
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
citation:
  ama: Chatterjee K, Komarkova Z, Kretinsky J. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">10.15479/AT:IST-2015-318-v2-1</a>
  apa: Chatterjee, K., Komarkova, Z., &#38; Kretinsky, J. (2015). <i>Unifying two
    views on multiple mean-payoff objectives in Markov decision processes</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">https://doi.org/10.15479/AT:IST-2015-318-v2-1</a>
  chicago: Chatterjee, Krishnendu, Zuzana Komarkova, and Jan Kretinsky. <i>Unifying
    Two Views on Multiple Mean-Payoff Objectives in Markov Decision Processes</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">https://doi.org/10.15479/AT:IST-2015-318-v2-1</a>.
  ieee: K. Chatterjee, Z. Komarkova, and J. Kretinsky, <i>Unifying two views on multiple
    mean-payoff objectives in Markov decision processes</i>. IST Austria, 2015.
  ista: Chatterjee K, Komarkova Z, Kretinsky J. 2015. Unifying two views on multiple
    mean-payoff objectives in Markov decision processes, IST Austria, 51p.
  mla: Chatterjee, Krishnendu, et al. <i>Unifying Two Views on Multiple Mean-Payoff
    Objectives in Markov Decision Processes</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-318-v2-1">10.15479/AT:IST-2015-318-v2-1</a>.
  short: K. Chatterjee, Z. Komarkova, J. Kretinsky, Unifying Two Views on Multiple
    Mean-Payoff Objectives in Markov Decision Processes, IST Austria, 2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-02-23T00:00:00Z
date_updated: 2025-09-29T11:00:42Z
day: '23'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-318-v2-1
file:
- access_level: open_access
  checksum: 75284adec80baabdfe71ff9ebbc27445
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:03Z
  date_updated: 2020-07-14T12:46:53Z
  file_id: '5525'
  file_name: IST-2015-318-v2+1_main.pdf
  file_size: 717630
  relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '51'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '327'
related_material:
  record:
  - id: '5429'
    relation: earlier_version
    status: public
  - id: '466'
    relation: later_version
    status: public
  - id: '1657'
    relation: later_version
    status: public
status: public
title: Unifying two views on multiple mean-payoff objectives in Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5436'
abstract:
- lang: eng
  text: "Recently there has been a significant effort to handle quantitative properties
    in formal verification and synthesis. While weighted automata over finite and
    infinite words provide a natural and flexible framework to express quantitative
    properties, perhaps surprisingly, some basic system properties such as average
    response time cannot be expressed using weighted automata, nor in any other know
    decidable formalism. In this work, we introduce nested weighted automata as a
    natural extension of weighted automata which makes it possible to express important
    quantitative properties such as average response time.\r\nIn nested weighted automata,
    a master automaton spins off and collects results from weighted slave automata,
    each of which computes a quantity along a finite portion of an infinite word.
    Nested weighted automata can be viewed as the quantitative analogue of monitor
    automata, which are used in run-time verification. We establish an almost complete
    decidability picture for the basic decision problems about nested weighted automata,
    and illustrate their applicability in several domains. In particular, nested weighted
    automata can be used to decide average response time properties."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Otop J. <i>Nested Weighted Automata</i>. IST Austria;
    2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-170-v2-2">10.15479/AT:IST-2015-170-v2-2</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Otop, J. (2015). <i>Nested weighted
    automata</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-170-v2-2">https://doi.org/10.15479/AT:IST-2015-170-v2-2</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. <i>Nested Weighted
    Automata</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-170-v2-2">https://doi.org/10.15479/AT:IST-2015-170-v2-2</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, <i>Nested weighted automata</i>.
    IST Austria, 2015.
  ista: Chatterjee K, Henzinger TA, Otop J. 2015. Nested weighted automata, IST Austria,
    29p.
  mla: Chatterjee, Krishnendu, et al. <i>Nested Weighted Automata</i>. IST Austria,
    2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-170-v2-2">10.15479/AT:IST-2015-170-v2-2</a>.
  short: K. Chatterjee, T.A. Henzinger, J. Otop, Nested Weighted Automata, IST Austria,
    2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-04-24T00:00:00Z
date_updated: 2025-09-23T09:39:58Z
day: '24'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2015-170-v2-2
file:
- access_level: open_access
  checksum: 3c402f47d3669c28d04d1af405a08e3f
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:19Z
  date_updated: 2020-07-14T12:46:54Z
  file_id: '5541'
  file_name: IST-2015-170-v2+2_report.pdf
  file_size: 569991
  relation: main_file
file_date_updated: 2020-07-14T12:46:54Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '331'
related_material:
  record:
  - id: '5415'
    relation: earlier_version
    status: public
  - id: '467'
    relation: later_version
    status: public
  - id: '1656'
    relation: later_version
    status: public
status: public
title: Nested weighted automata
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5437'
abstract:
- lang: eng
  text: "We consider the core algorithmic problems related to verification of systems
    with respect to three classical quantitative properties, namely, the mean-payoff
    property, the ratio property, and the minimum initial credit for energy property.
    \r\nThe algorithmic problem given a graph and a quantitative property asks to
    compute the optimal value (the infimum value over all traces) from every node
    of the graph. We consider graphs with constant treewidth, and it is well-known
    that the control-flow graphs of most programs have constant treewidth. Let $n$
    denote the number of nodes of a graph, $m$ the number of edges (for constant treewidth
    graphs $m=O(n)$) and $W$ the largest absolute value of the weights.\r\nOur main
    theoretical results are as follows.\r\nFirst, for constant treewidth graphs we
    present an algorithm that approximates the mean-payoff value within a multiplicative
    factor of $\\epsilon$ in time $O(n \\cdot \\log (n/\\epsilon))$ and linear space,
    as compared to the classical algorithms that require quadratic time. Second, for
    the ratio property we present an algorithm that for constant treewidth graphs
    works in time $O(n \\cdot \\log (|a\\cdot b|))=O(n\\cdot\\log (n\\cdot W))$, when
    the output is $\\frac{a}{b}$, as compared to the previously best known algorithm
    with running time $O(n^2 \\cdot \\log (n\\cdot W))$. Third, for the minimum initial
    credit problem we show that (i)~for general graphs the problem can be solved in
    $O(n^2\\cdot m)$ time and the associated decision problem can be solved in $O(n\\cdot
    m)$ time, improving the previous known $O(n^3\\cdot m\\cdot \\log (n\\cdot W))$
    and $O(n^2 \\cdot m)$ bounds, respectively; and (ii)~for constant treewidth graphs
    we present an algorithm that requires $O(n\\cdot \\log n)$ time, improving the
    previous known $O(n^4 \\cdot \\log (n \\cdot W))$ bound.\r\nWe have implemented
    some of our algorithms and show that they present a significant speedup on standard
    benchmarks. "
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. <i>Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-330-v2-1">10.15479/AT:IST-2015-330-v2-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Pavlogiannis, A. (2015). <i>Faster
    algorithms for quantitative verification in constant treewidth graphs</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-330-v2-1">https://doi.org/10.15479/AT:IST-2015-330-v2-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
    <i>Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-330-v2-1">https://doi.org/10.15479/AT:IST-2015-330-v2-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, <i>Faster algorithms
    for quantitative verification in constant treewidth graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
    quantitative verification in constant treewidth graphs, IST Austria, 27p.
  mla: Chatterjee, Krishnendu, et al. <i>Faster Algorithms for Quantitative Verification
    in Constant Treewidth Graphs</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-330-v2-1">10.15479/AT:IST-2015-330-v2-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
    Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-04-27T00:00:00Z
date_updated: 2025-09-23T08:47:23Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-330-v2-1
file:
- access_level: open_access
  checksum: f5917c20f84018b362d385c000a2e123
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:12Z
  date_updated: 2020-07-14T12:46:54Z
  file_id: '5473'
  file_name: IST-2015-330-v2+1_main.pdf
  file_size: 1072137
  relation: main_file
file_date_updated: 2020-07-14T12:46:54Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '27'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '333'
related_material:
  record:
  - id: '5430'
    relation: earlier_version
    status: public
  - id: '1607'
    relation: later_version
    status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5438'
abstract:
- lang: eng
  text: "The edit distance between two words w1, w2 is the minimal number of word
    operations (letter insertions, deletions, and substitutions) necessary to transform
    w1 to w2. The edit distance generalizes to languages L1, L2, where the edit distance
    is the minimal number k such that for every word from L1 there exists a word in
    L2 with edit distance at most k. We study the edit distance computation problem
    between pushdown automata and their subclasses.\r\nThe problem of computing edit
    distance to a pushdown automaton is undecidable, and in practice, the interesting
    question is to compute the edit distance from a pushdown automaton (the implementation,
    a standard model for programs with recursion) to a regular language (the specification).
    In this work, we present a complete picture of decidability and complexity for
    deciding whether, for a given threshold k, the edit distance from a pushdown automaton
    to a finite automaton is at most k. "
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. <i>Edit Distance for Pushdown
    Automata</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-334-v1-1">10.15479/AT:IST-2015-334-v1-1</a>
  apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., &#38; Otop, J. (2015).
    <i>Edit distance for pushdown automata</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-334-v1-1">https://doi.org/10.15479/AT:IST-2015-334-v1-1</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
    Otop. <i>Edit Distance for Pushdown Automata</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-334-v1-1">https://doi.org/10.15479/AT:IST-2015-334-v1-1</a>.
  ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, <i>Edit distance
    for pushdown automata</i>. IST Austria, 2015.
  ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2015. Edit distance for
    pushdown automata, IST Austria, 15p.
  mla: Chatterjee, Krishnendu, et al. <i>Edit Distance for Pushdown Automata</i>.
    IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-334-v1-1">10.15479/AT:IST-2015-334-v1-1</a>.
  short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Edit Distance for
    Pushdown Automata, IST Austria, 2015.
date_created: 2018-12-12T11:39:20Z
date_published: 2015-05-05T00:00:00Z
date_updated: 2026-04-29T06:14:48Z
day: '05'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-334-v1-1
file:
- access_level: open_access
  checksum: 8a5f2d77560e552af87eb1982437a43b
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:56Z
  date_updated: 2020-07-14T12:46:55Z
  file_id: '5518'
  file_name: IST-2015-334-v1+1_report.pdf
  file_size: 422573
  relation: main_file
file_date_updated: 2020-07-14T12:46:55Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: '15'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '334'
related_material:
  record:
  - id: '465'
    relation: later_version
    status: public
  - id: '1610'
    relation: later_version
    status: public
status: public
title: Edit distance for pushdown automata
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5439'
abstract:
- lang: eng
  text: 'The target discounted-sum problem is the following: Given a rational discount
    factor 0 < λ < 1 and three rational values a, b, and t, does there exist a finite
    or an infinite sequence w ε(a, b)∗ or w ε(a, b)w, such that Σ|w| i=0 w(i)λi equals
    t? The problem turns out to relate to many fields of mathematics and computer
    science, and its decidability question is surprisingly hard to solve. We solve
    the finite version of the problem, and show the hardness of the infinite version,
    linking it to various areas and open problems in mathematics and computer science:
    β-expansions, discounted-sum automata, piecewise affine maps, and generalizations
    of the Cantor set. We provide some partial results to the infinite version, among
    which are solutions to its restriction to eventually-periodic sequences and to
    the cases that λ λ 1/2 or λ = 1/n, for every n ε N. We use our results for solving
    some open problems on discounted-sum automata, among which are the exact-value
    problem for nondeterministic automata over finite words and the universality and
    inclusion problems for functional automata. '
alternative_title:
- IST Austria Technical Report
author:
- first_name: Udi
  full_name: Boker, Udi
  id: 31E297B6-F248-11E8-B48F-1D18A9856A87
  last_name: Boker
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Jan
  full_name: Otop, Jan
  id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
  last_name: Otop
citation:
  ama: Boker U, Henzinger TA, Otop J. <i>The Target Discounted-Sum Problem</i>. IST
    Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-335-v1-1">10.15479/AT:IST-2015-335-v1-1</a>
  apa: Boker, U., Henzinger, T. A., &#38; Otop, J. (2015). <i>The target discounted-sum
    problem</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-335-v1-1">https://doi.org/10.15479/AT:IST-2015-335-v1-1</a>
  chicago: Boker, Udi, Thomas A Henzinger, and Jan Otop. <i>The Target Discounted-Sum
    Problem</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-335-v1-1">https://doi.org/10.15479/AT:IST-2015-335-v1-1</a>.
  ieee: U. Boker, T. A. Henzinger, and J. Otop, <i>The target discounted-sum problem</i>.
    IST Austria, 2015.
  ista: Boker U, Henzinger TA, Otop J. 2015. The target discounted-sum problem, IST
    Austria, 20p.
  mla: Boker, Udi, et al. <i>The Target Discounted-Sum Problem</i>. IST Austria, 2015,
    doi:<a href="https://doi.org/10.15479/AT:IST-2015-335-v1-1">10.15479/AT:IST-2015-335-v1-1</a>.
  short: U. Boker, T.A. Henzinger, J. Otop, The Target Discounted-Sum Problem, IST
    Austria, 2015.
date_created: 2018-12-12T11:39:20Z
date_published: 2015-05-18T00:00:00Z
date_updated: 2025-04-15T08:11:50Z
day: '18'
ddc:
- '004'
- '512'
- '513'
department:
- _id: ToHe
doi: 10.15479/AT:IST-2015-335-v1-1
file:
- access_level: open_access
  checksum: 40405907aa012acece1bc26cf0be554d
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:55Z
  date_updated: 2020-07-14T12:46:55Z
  file_id: '5517'
  file_name: IST-2015-335-v1+1_report.pdf
  file_size: 589619
  relation: main_file
file_date_updated: 2020-07-14T12:46:55Z
has_accepted_license: '1'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '335'
related_material:
  record:
  - id: '1659'
    relation: later_version
    status: public
status: public
title: The target discounted-sum problem
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5440'
abstract:
- lang: eng
  text: 'Evolution occurs in populations of reproducing individuals. The structure
    of the population affects the outcome of the evolutionary process. Evolutionary
    graph theory is a powerful approach to study this phenomenon. There are two graphs.
    The interaction graph specifies who interacts with whom for payoff in the context
    of evolution. The replacement graph specifies who competes with whom for reproduction.
    The vertices of the two graphs are the same, and each vertex corresponds to an
    individual of the population. The fitness (or the reproductive rate) is a non-negative
    number, and depends on the payoff. A key quantity is the fixation probability
    of a new mutant. It is defined as the probability that a newly introduced mutant
    (on a single vertex) generates a lineage of offspring which eventually takes over
    the entire population of resident individuals. The basic computational questions
    are as follows: (i) the qualitative question asks whether the fixation probability
    is positive; and (ii) the quantitative approximation question asks for an approximation
    of the fixation probability. Our main results are as follows: First, we consider
    a special case of the general problem, where the residents do not reproduce. We
    show that the qualitative question is NP-complete, and the quantitative approximation
    question is #P-complete, and the hardness results hold even in the special case
    where the interaction and the replacement graphs coincide. Second, we show that
    in general both the qualitative and the quantitative approximation questions are
    PSPACE-complete. The PSPACE-hardness result for quantitative approximation holds
    even when the fitness is always positive.'
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Nowak M. <i>The Complexity of Evolutionary Games
    on Graphs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v2-2">10.15479/AT:IST-2015-323-v2-2</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., &#38; Nowak, M. (2015). <i>The complexity
    of evolutionary games on graphs</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-323-v2-2">https://doi.org/10.15479/AT:IST-2015-323-v2-2</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. <i>The Complexity
    of Evolutionary Games on Graphs</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-323-v2-2">https://doi.org/10.15479/AT:IST-2015-323-v2-2</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, <i>The complexity of evolutionary
    games on graphs</i>. IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
    games on graphs, IST Austria, 18p.
  mla: Chatterjee, Krishnendu, et al. <i>The Complexity of Evolutionary Games on Graphs</i>.
    IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-323-v2-2">10.15479/AT:IST-2015-323-v2-2</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
    Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:21Z
date_published: 2015-06-16T00:00:00Z
date_updated: 2023-02-23T12:26:10Z
day: '16'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v2-2
file:
- access_level: open_access
  checksum: 66aace7d367032af97c15e35c9be9636
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:23Z
  date_updated: 2020-07-14T12:46:56Z
  file_id: '5484'
  file_name: IST-2015-323-v2+2_main.pdf
  file_size: 466161
  relation: main_file
file_date_updated: 2020-07-14T12:46:56Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '18'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '338'
related_material:
  record:
  - id: '5421'
    relation: earlier_version
    status: public
  - id: '5432'
    relation: earlier_version
    status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5441'
abstract:
- lang: eng
  text: We study algorithmic questions for concurrent systems where the transitions
    are labeled from a complete, closed semiring, and path properties are algebraic
    with semiring operations. The algebraic path properties can model dataflow analysis
    problems, the shortest path problem, and many other natural problems that arise
    in program analysis. We consider that each component of the concurrent system
    is a graph with constant treewidth, a property satisfied by the controlflow graphs
    of most programs. We allow for multiple possible queries, which arise naturally
    in demand driven dataflow analysis. The study of multiple queries allows us to
    consider the tradeoff between the resource usage of the one-time preprocessing
    and for each individual query. The traditional approach constructs the product
    graph of all components and applies the best-known graph algorithm on the product.
    In this approach, even the answer to a single query requires the transitive closure
    (i.e., the results of all possible queries), which provides no room for tradeoff
    between preprocessing and query time. Our main contributions are algorithms that
    significantly improve the worst-case running time of the traditional approach,
    and provide various tradeoffs depending on the number of queries. For example,
    in a concurrent system of two components, the traditional approach requires hexic
    time in the worst case for answering one query as well as computing the transitive
    closure, whereas we show that with one-time preprocessing in almost cubic time,
    each subsequent query can be answered in at most linear time, and even the transitive
    closure can be computed in almost quartic time. Furthermore, we establish conditional
    optimality results showing that the worst-case running time of our algorithms
    cannot be improved without achieving major breakthroughs in graph algorithms (i.e.,
    improving the worst-case bound for the shortest path problem in general graphs).
    Preliminary experimental results show that our algorithms perform favorably on
    several benchmarks.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Amir
  full_name: Goharshady, Amir
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
citation:
  ama: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. <i>Algorithms
    for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components</i>.
    IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-340-v1-1">10.15479/AT:IST-2015-340-v1-1</a>
  apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., &#38; Pavlogiannis, A.
    (2015). <i>Algorithms for algebraic path properties in concurrent systems of constant
    treewidth components</i>. IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-340-v1-1">https://doi.org/10.15479/AT:IST-2015-340-v1-1</a>
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
    and Andreas Pavlogiannis. <i>Algorithms for Algebraic Path Properties in Concurrent
    Systems of Constant Treewidth Components</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-340-v1-1">https://doi.org/10.15479/AT:IST-2015-340-v1-1</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, <i>Algorithms
    for algebraic path properties in concurrent systems of constant treewidth components</i>.
    IST Austria, 2015.
  ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2015. Algorithms
    for algebraic path properties in concurrent systems of constant treewidth components,
    IST Austria, 24p.
  mla: Chatterjee, Krishnendu, et al. <i>Algorithms for Algebraic Path Properties
    in Concurrent Systems of Constant Treewidth Components</i>. IST Austria, 2015,
    doi:<a href="https://doi.org/10.15479/AT:IST-2015-340-v1-1">10.15479/AT:IST-2015-340-v1-1</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, Algorithms
    for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components,
    IST Austria, 2015.
date_created: 2018-12-12T11:39:21Z
date_published: 2015-07-11T00:00:00Z
date_updated: 2025-04-15T08:11:48Z
day: '11'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-340-v1-1
file:
- access_level: open_access
  checksum: df383dc62c94d7b2ea639aba088a76c6
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:54:09Z
  date_updated: 2020-07-14T12:46:56Z
  file_id: '5531'
  file_name: IST-2015-340-v1+1_main.pdf
  file_size: 861396
  relation: main_file
file_date_updated: 2020-07-14T12:46:56Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '24'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '340'
related_material:
  record:
  - id: '5442'
    relation: earlier_version
    status: public
  - id: '6009'
    relation: later_version
    status: public
  - id: '1437'
    relation: later_version
    status: public
status: public
title: Algorithms for algebraic path properties in concurrent systems of constant
  treewidth components
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5443'
abstract:
- lang: eng
  text: POMDPs are standard models for probabilistic planning problems, where an agent
    interacts with an uncertain environment. We study the problem of almost-sure reachability,
    where given a set of target states, the question is to decide whether there is
    a policy to ensure that the target set is reached with probability 1 (almost-surely).
    While in general the problem is EXPTIME-complete, in many practical cases policies
    with a small amount of memory suffice. Moreover, the existing solution to the
    problem is explicit, which first requires to construct explicitly an exponential
    reduction to a belief-support MDP. In this work, we first study the existence
    of observation-stationary strategies, which is NP-complete, and then small-memory
    strategies. We present a symbolic algorithm by an efficient encoding to SAT and
    using a SAT solver for the problem. We report experimental results demonstrating
    the scalability of our symbolic (SAT-based) approach.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Jessica
  full_name: Davies, Jessica
  id: 378E0060-F248-11E8-B48F-1D18A9856A87
  last_name: Davies
citation:
  ama: Chatterjee K, Chmelik M, Davies J. <i>A Symbolic SAT-Based Algorithm for Almost-Sure
    Reachability with Small Strategies in POMDPs</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-325-v2-1">10.15479/AT:IST-2015-325-v2-1</a>
  apa: Chatterjee, K., Chmelik, M., &#38; Davies, J. (2015). <i>A symbolic SAT-based
    algorithm for almost-sure reachability with small strategies in POMDPs</i>. IST
    Austria. <a href="https://doi.org/10.15479/AT:IST-2015-325-v2-1">https://doi.org/10.15479/AT:IST-2015-325-v2-1</a>
  chicago: Chatterjee, Krishnendu, Martin Chmelik, and Jessica Davies. <i>A Symbolic
    SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs</i>.
    IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-325-v2-1">https://doi.org/10.15479/AT:IST-2015-325-v2-1</a>.
  ieee: K. Chatterjee, M. Chmelik, and J. Davies, <i>A symbolic SAT-based algorithm
    for almost-sure reachability with small strategies in POMDPs</i>. IST Austria,
    2015.
  ista: Chatterjee K, Chmelik M, Davies J. 2015. A symbolic SAT-based algorithm for
    almost-sure reachability with small strategies in POMDPs, IST Austria, 23p.
  mla: Chatterjee, Krishnendu, et al. <i>A Symbolic SAT-Based Algorithm for Almost-Sure
    Reachability with Small Strategies in POMDPs</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-325-v2-1">10.15479/AT:IST-2015-325-v2-1</a>.
  short: K. Chatterjee, M. Chmelik, J. Davies, A Symbolic SAT-Based Algorithm for
    Almost-Sure Reachability with Small Strategies in POMDPs, IST Austria, 2015.
date_created: 2018-12-12T11:39:22Z
date_published: 2015-11-06T00:00:00Z
date_updated: 2025-06-25T11:52:13Z
day: '06'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-325-v2-1
file:
- access_level: open_access
  checksum: f0fa31ad8161ed655137e94012123ef9
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:05Z
  date_updated: 2020-07-14T12:46:57Z
  file_id: '5466'
  file_name: IST-2015-325-v2+1_main.pdf
  file_size: 412379
  relation: main_file
file_date_updated: 2020-07-14T12:46:57Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '23'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '362'
related_material:
  record:
  - id: '1166'
    relation: later_version
    status: public
status: public
title: A symbolic SAT-based algorithm for almost-sure reachability with small strategies
  in POMDPs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5444'
abstract:
- lang: eng
  text: A comprehensive understanding of the clonal evolution of cancer is critical
    for understanding neoplasia. Genome-wide sequencing data enables evolutionary
    studies at unprecedented depth. However, classical phylogenetic methods often
    struggle with noisy sequencing data of impure DNA samples and fail to detect subclones
    that have different evolutionary trajectories. We have developed a tool, called
    Treeomics, that allows us to reconstruct the phylogeny of a cancer with commonly
    available sequencing technologies. Using Bayesian inference and Integer Linear
    Programming, robust phylogenies consistent with the biological processes underlying
    cancer evolution were obtained for pancreatic, ovarian, and prostate cancers.
    Furthermore, Treeomics correctly identified sequencing artifacts such as those
    resulting from low statistical power; nearly 7% of variants were misclassified
    by conventional statistical methods. These artifacts can skew phylogenies by creating
    illusory tumor heterogeneity among distinct samples. Importantly, we show that
    the evolutionary trees generated with Treeomics are mathematically optimal.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Johannes
  full_name: Reiter, Johannes
  id: 4A918E98-F248-11E8-B48F-1D18A9856A87
  last_name: Reiter
  orcid: 0000-0002-0170-7353
- first_name: Alvin
  full_name: Makohon-Moore, Alvin
  last_name: Makohon-Moore
- first_name: Jeffrey
  full_name: Gerold, Jeffrey
  last_name: Gerold
- first_name: Ivana
  full_name: Bozic, Ivana
  last_name: Bozic
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Christine
  full_name: Iacobuzio-Donahue, Christine
  last_name: Iacobuzio-Donahue
- first_name: Bert
  full_name: Vogelstein, Bert
  last_name: Vogelstein
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Reiter J, Makohon-Moore A, Gerold J, et al. <i>Reconstructing Robust Phylogenies
    of Metastatic Cancers</i>. IST Austria; 2015. doi:<a href="https://doi.org/10.15479/AT:IST-2015-399-v1-1">10.15479/AT:IST-2015-399-v1-1</a>
  apa: Reiter, J., Makohon-Moore, A., Gerold, J., Bozic, I., Chatterjee, K., Iacobuzio-Donahue,
    C., … Nowak, M. (2015). <i>Reconstructing robust phylogenies of metastatic cancers</i>.
    IST Austria. <a href="https://doi.org/10.15479/AT:IST-2015-399-v1-1">https://doi.org/10.15479/AT:IST-2015-399-v1-1</a>
  chicago: Reiter, Johannes, Alvin Makohon-Moore, Jeffrey Gerold, Ivana Bozic, Krishnendu
    Chatterjee, Christine Iacobuzio-Donahue, Bert Vogelstein, and Martin Nowak. <i>Reconstructing
    Robust Phylogenies of Metastatic Cancers</i>. IST Austria, 2015. <a href="https://doi.org/10.15479/AT:IST-2015-399-v1-1">https://doi.org/10.15479/AT:IST-2015-399-v1-1</a>.
  ieee: J. Reiter <i>et al.</i>, <i>Reconstructing robust phylogenies of metastatic
    cancers</i>. IST Austria, 2015.
  ista: Reiter J, Makohon-Moore A, Gerold J, Bozic I, Chatterjee K, Iacobuzio-Donahue
    C, Vogelstein B, Nowak M. 2015. Reconstructing robust phylogenies of metastatic
    cancers, IST Austria, 25p.
  mla: Reiter, Johannes, et al. <i>Reconstructing Robust Phylogenies of Metastatic
    Cancers</i>. IST Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:IST-2015-399-v1-1">10.15479/AT:IST-2015-399-v1-1</a>.
  short: J. Reiter, A. Makohon-Moore, J. Gerold, I. Bozic, K. Chatterjee, C. Iacobuzio-Donahue,
    B. Vogelstein, M. Nowak, Reconstructing Robust Phylogenies of Metastatic Cancers,
    IST Austria, 2015.
date_created: 2018-12-12T11:39:22Z
date_published: 2015-12-30T00:00:00Z
date_updated: 2020-07-14T23:05:07Z
day: '30'
ddc:
- '000'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-399-v1-1
file:
- access_level: open_access
  checksum: c47d33bdda06181753c0af36f16e7b5d
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T11:53:24Z
  date_updated: 2020-07-14T12:46:58Z
  file_id: '5485'
  file_name: IST-2015-399-v1+1_treeomics.pdf
  file_size: 3533200
  relation: main_file
file_date_updated: 2020-07-14T12:46:58Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
  issn:
  - 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '399'
status: public
title: Reconstructing robust phylogenies of metastatic cancers
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5549'
abstract:
- lang: eng
  text: "This repository contains the experimental part of the CAV 2015 publication
    Counterexample Explanation by Learning Small Strategies in Markov Decision Processes.\r\nWe
    extended the probabilistic model checker PRISM to represent strategies of Markov
    Decision Processes as Decision Trees.\r\nThe archive contains a java executable
    version of the extended tool (prism_dectree.jar) together with a few examples
    of the PRISM benchmark library.\r\nTo execute the program, please have a look
    at the README.txt, which provides instructions and further information on the
    archive.\r\nThe archive contains scripts that (if run often enough) reproduces
    the data presented in the publication."
article_processing_charge: No
author:
- first_name: Andreas
  full_name: Fellner, Andreas
  id: 42BABFB4-F248-11E8-B48F-1D18A9856A87
  last_name: Fellner
citation:
  ama: 'Fellner A. Experimental part of CAV 2015 publication: Counterexample Explanation
    by Learning Small Strategies in Markov Decision Processes. 2015. doi:<a href="https://doi.org/10.15479/AT:ISTA:28">10.15479/AT:ISTA:28</a>'
  apa: 'Fellner, A. (2015). Experimental part of CAV 2015 publication: Counterexample
    Explanation by Learning Small Strategies in Markov Decision Processes. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:28">https://doi.org/10.15479/AT:ISTA:28</a>'
  chicago: 'Fellner, Andreas. “Experimental Part of CAV 2015 Publication: Counterexample
    Explanation by Learning Small Strategies in Markov Decision Processes.” Institute
    of Science and Technology Austria, 2015. <a href="https://doi.org/10.15479/AT:ISTA:28">https://doi.org/10.15479/AT:ISTA:28</a>.'
  ieee: 'A. Fellner, “Experimental part of CAV 2015 publication: Counterexample Explanation
    by Learning Small Strategies in Markov Decision Processes.” Institute of Science
    and Technology Austria, 2015.'
  ista: 'Fellner A. 2015. Experimental part of CAV 2015 publication: Counterexample
    Explanation by Learning Small Strategies in Markov Decision Processes, Institute
    of Science and Technology Austria, <a href="https://doi.org/10.15479/AT:ISTA:28">10.15479/AT:ISTA:28</a>.'
  mla: 'Fellner, Andreas. <i>Experimental Part of CAV 2015 Publication: Counterexample
    Explanation by Learning Small Strategies in Markov Decision Processes</i>. Institute
    of Science and Technology Austria, 2015, doi:<a href="https://doi.org/10.15479/AT:ISTA:28">10.15479/AT:ISTA:28</a>.'
  short: A. Fellner, (2015).
contributor:
- first_name: Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
datarep_id: '28'
date_created: 2018-12-12T12:31:29Z
date_published: 2015-08-13T00:00:00Z
date_updated: 2025-09-23T08:23:15Z
day: '13'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:ISTA:28
ec_funded: 1
file:
- access_level: open_access
  checksum: b8bcb43c0893023cda66c1b69c16ac62
  content_type: application/zip
  creator: system
  date_created: 2018-12-12T13:02:31Z
  date_updated: 2020-07-14T12:47:00Z
  file_id: '5597'
  file_name: IST-2015-28-v1+2_Fellner_DataRep.zip
  file_size: 49557109
  relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
keyword:
- Markov Decision Process
- Decision Tree
- Probabilistic Verification
- Counterexample Explanation
license: https://creativecommons.org/publicdomain/zero/1.0/
month: '08'
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: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
publisher: Institute of Science and Technology Austria
publist_id: '5564'
related_material:
  record:
  - id: '1603'
    relation: popular_science
    status: public
status: public
title: 'Experimental part of CAV 2015 publication: Counterexample Explanation by Learning
  Small Strategies in Markov Decision Processes'
tmp:
  image: /images/cc_0.png
  legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
  name: Creative Commons Public Domain Dedication (CC0 1.0)
  short: CC0 (1.0)
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1992'
abstract:
- lang: eng
  text: "We present a method and a tool for generating succinct representations of
    sets of concurrent traces. We focus on trace sets that contain all correct or
    all incorrect permutations of events from a given trace. We represent trace sets
    as HB-Formulas that are Boolean combinations of happens-before constraints between
    events. To generate a representation of incorrect interleavings, our method iteratively
    explores interleavings that violate the specification and gathers generalizations
    of the discovered interleavings into an HB-Formula; its complement yields a representation
    of correct interleavings.\r\n\r\nWe claim that our trace set representations can
    drive diverse verification, fault localization, repair, and synthesis techniques
    for concurrent programs. We demonstrate this by using our tool in three case studies
    involving synchronization synthesis, bug summarization, and abstraction refinement
    based verification. In each case study, our initial experimental results have
    been promising.\r\n\r\nIn the first case study, we present an algorithm for inferring
    missing synchronization from an HB-Formula representing correct interleavings
    of a given trace. The algorithm applies rules to rewrite specific patterns in
    the HB-Formula into locks, barriers, and wait-notify constructs. In the second
    case study, we use an HB-Formula representing incorrect interleavings for bug
    summarization. While the HB-Formula itself is a concise counterexample summary,
    we present additional inference rules to help identify specific concurrency bugs
    such as data races, define-use order violations, and two-stage access bugs. In
    the final case study, we present a novel predicate learning procedure that uses
    HB-Formulas representing abstract counterexamples to accelerate counterexample-guided
    abstraction refinement (CEGAR). In each iteration of the CEGAR loop, the procedure
    refines the abstraction to eliminate multiple spurious abstract counterexamples
    drawn from the HB-Formula."
article_processing_charge: No
author:
- first_name: Ashutosh
  full_name: Gupta, Ashutosh
  id: 335E5684-F248-11E8-B48F-1D18A9856A87
  last_name: Gupta
- 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: Arjun
  full_name: Radhakrishna, Arjun
  id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
  last_name: Radhakrishna
- first_name: Roopsha
  full_name: Samanta, Roopsha
  id: 3D2AAC08-F248-11E8-B48F-1D18A9856A87
  last_name: Samanta
- first_name: Thorsten
  full_name: Tarrach, Thorsten
  id: 3D6E8F2C-F248-11E8-B48F-1D18A9856A87
  last_name: Tarrach
  orcid: 0000-0003-4409-8487
citation:
  ama: 'Gupta A, Henzinger TA, Radhakrishna A, Samanta R, Tarrach T. Succinct representation
    of concurrent trace sets. In: ACM; 2015:433-444. doi:<a href="https://doi.org/10.1145/2676726.2677008">10.1145/2676726.2677008</a>'
  apa: 'Gupta, A., Henzinger, T. A., Radhakrishna, A., Samanta, R., &#38; Tarrach,
    T. (2015). Succinct representation of concurrent trace sets (pp. 433–444). Presented
    at the POPL: Principles of Programming Languages, Mumbai, India: ACM. <a href="https://doi.org/10.1145/2676726.2677008">https://doi.org/10.1145/2676726.2677008</a>'
  chicago: Gupta, Ashutosh, Thomas A Henzinger, Arjun Radhakrishna, Roopsha Samanta,
    and Thorsten Tarrach. “Succinct Representation of Concurrent Trace Sets,” 433–44.
    ACM, 2015. <a href="https://doi.org/10.1145/2676726.2677008">https://doi.org/10.1145/2676726.2677008</a>.
  ieee: 'A. Gupta, T. A. Henzinger, A. Radhakrishna, R. Samanta, and T. Tarrach, “Succinct
    representation of concurrent trace sets,” presented at the POPL: Principles of
    Programming Languages, Mumbai, India, 2015, pp. 433–444.'
  ista: 'Gupta A, Henzinger TA, Radhakrishna A, Samanta R, Tarrach T. 2015. Succinct
    representation of concurrent trace sets. POPL: Principles of Programming Languages,
    433–444.'
  mla: Gupta, Ashutosh, et al. <i>Succinct Representation of Concurrent Trace Sets</i>.
    ACM, 2015, pp. 433–44, doi:<a href="https://doi.org/10.1145/2676726.2677008">10.1145/2676726.2677008</a>.
  short: A. Gupta, T.A. Henzinger, A. Radhakrishna, R. Samanta, T. Tarrach, in:, ACM,
    2015, pp. 433–444.
conference:
  end_date: 2015-01-17
  location: Mumbai, India
  name: 'POPL: Principles of Programming Languages'
  start_date: 2015-01-15
date_created: 2018-12-11T11:55:05Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2025-03-07T08:44:29Z
day: '15'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.1145/2676726.2677008
file:
- access_level: open_access
  checksum: f0d4395b600f410a191256ac0b73af32
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:56Z
  date_updated: 2020-07-14T12:45:22Z
  file_id: '5314'
  file_name: IST-2015-317-v1+1_author_version.pdf
  file_size: 399462
  relation: main_file
file_date_updated: 2020-07-14T12:45:22Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 433 - 444
publication_identifier:
  isbn:
  - 978-1-4503-3300-9
publication_status: published
publisher: ACM
publist_id: '5091'
pubrep_id: '317'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Succinct representation of concurrent trace sets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1993'
abstract:
- lang: eng
  text: 'The fitness effects of symbionts on their hosts can be context-dependent,
    with usually benign symbionts causing detrimental effects when their hosts are
    stressed, or typically parasitic symbionts providing protection towards their
    hosts (e.g. against pathogen infection). Here, we studied the novel association
    between the invasive garden ant Lasius neglectus and its fungal ectosymbiont Laboulbenia
    formicarum for potential costs and benefits. We tested ants with different Laboulbenia
    levels for their survival and immunity under resource limitation and exposure
    to the obligate killing entomopathogen Metarhizium brunneum. While survival of
    L. neglectus workers under starvation was significantly decreased with increasing
    Laboulbenia levels, host survival under Metarhizium exposure increased with higher
    levels of the ectosymbiont, suggesting a symbiont-mediated anti-pathogen protection,
    which seems to be driven mechanistically by both improved sanitary behaviours
    and an upregulated immune system. Ants with high Laboulbenia levels showed significantly
    longer self-grooming and elevated expression of immune genes relevant for wound
    repair and antifungal responses (β-1,3-glucan binding protein, Prophenoloxidase),
    compared with ants carrying low Laboulbenia levels. This suggests that the ectosymbiont
    Laboulbenia formicarum weakens its ant host by either direct resource exploitation
    or the costs of an upregulated behavioural and immunological response, which,
    however, provides a prophylactic protection upon later exposure to pathogens. '
acknowledged_ssus:
- _id: EM-Fac
acknowledgement: "Funding was obtained by the German Research Foundation (CR 118–2)
  and an ERC StG (243071) by the European Research Council (both to S.C.).\r\nWe thank
  Line V. Ugelvig for help with ant collection and statistical discussion, Xavier
  Espadaler for detailed information on the ant collection site, Birgit Lautenschläger
  for the electron microscopy images and Eva Sixt for ant drawings. We further thank
  Jørgen Eilenberg for the fungal strain, Meghan L. Vyleta for genetic strain characterization
  and immune gene primer development, Paul Schmid-Hempel for discussion, and Line
  V. Ugelvig, Xavier Espadaler and Christopher D. Pull for comments on the manuscript.
  S.C., M.K. and S.T. conceived the study; M.K. and A.V.G. performed the experiments;
  M.K. performed the statistical analysis; S.C. and M.K. wrote the manuscript with
  intense contributions of A.V.G. and S.T.; all authors approved the manuscript."
article_number: '20141976'
article_processing_charge: No
article_type: original
author:
- first_name: Matthias
  full_name: Konrad, Matthias
  id: 46528076-F248-11E8-B48F-1D18A9856A87
  last_name: Konrad
- first_name: Anna V
  full_name: Grasse, Anna V
  id: 406F989C-F248-11E8-B48F-1D18A9856A87
  last_name: Grasse
- first_name: Simon
  full_name: Tragust, Simon
  id: 35A7A418-F248-11E8-B48F-1D18A9856A87
  last_name: Tragust
- first_name: Sylvia
  full_name: Cremer, Sylvia
  id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
  last_name: Cremer
  orcid: 0000-0002-2193-3868
citation:
  ama: Konrad M, Grasse AV, Tragust S, Cremer S. Anti-pathogen protection versus survival
    costs mediated by an ectosymbiont in an ant host. <i>Proceedings of the Royal
    Society of London Series B Biological Sciences</i>. 2015;282(1799). doi:<a href="https://doi.org/10.1098/rspb.2014.1976">10.1098/rspb.2014.1976</a>
  apa: Konrad, M., Grasse, A. V., Tragust, S., &#38; Cremer, S. (2015). Anti-pathogen
    protection versus survival costs mediated by an ectosymbiont in an ant host. <i>Proceedings
    of the Royal Society of London Series B Biological Sciences</i>. The Royal Society.
    <a href="https://doi.org/10.1098/rspb.2014.1976">https://doi.org/10.1098/rspb.2014.1976</a>
  chicago: Konrad, Matthias, Anna V Grasse, Simon Tragust, and Sylvia Cremer. “Anti-Pathogen
    Protection versus Survival Costs Mediated by an Ectosymbiont in an Ant Host.”
    <i>Proceedings of the Royal Society of London Series B Biological Sciences</i>.
    The Royal Society, 2015. <a href="https://doi.org/10.1098/rspb.2014.1976">https://doi.org/10.1098/rspb.2014.1976</a>.
  ieee: M. Konrad, A. V. Grasse, S. Tragust, and S. Cremer, “Anti-pathogen protection
    versus survival costs mediated by an ectosymbiont in an ant host,” <i>Proceedings
    of the Royal Society of London Series B Biological Sciences</i>, vol. 282, no.
    1799. The Royal Society, 2015.
  ista: Konrad M, Grasse AV, Tragust S, Cremer S. 2015. Anti-pathogen protection versus
    survival costs mediated by an ectosymbiont in an ant host. Proceedings of the
    Royal Society of London Series B Biological Sciences. 282(1799), 20141976.
  mla: Konrad, Matthias, et al. “Anti-Pathogen Protection versus Survival Costs Mediated
    by an Ectosymbiont in an Ant Host.” <i>Proceedings of the Royal Society of London
    Series B Biological Sciences</i>, vol. 282, no. 1799, 20141976, The Royal Society,
    2015, doi:<a href="https://doi.org/10.1098/rspb.2014.1976">10.1098/rspb.2014.1976</a>.
  short: M. Konrad, A.V. Grasse, S. Tragust, S. Cremer, Proceedings of the Royal Society
    of London Series B Biological Sciences 282 (2015).
corr_author: '1'
date_created: 2018-12-11T11:55:06Z
date_published: 2015-01-22T00:00:00Z
date_updated: 2025-09-23T07:55:03Z
day: '22'
department:
- _id: SyCr
doi: 10.1098/rspb.2014.1976
ec_funded: 1
external_id:
  isi:
  - '000345624600008'
  pmid:
  - '25473011'
intvolume: '       282'
isi: 1
issue: '1799'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4286035/
month: '01'
oa: 1
oa_version: Submitted Version
pmid: 1
project:
- _id: 25DC711C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '243071'
  name: 'Social Vaccination in Ant Colonies: from Individual Mechanisms to Society
    Effects'
- _id: 25DAF0B2-B435-11E9-9278-68D0E5697425
  grant_number: CR-118/3-1
  name: Host-Parasite Coevolution
publication: Proceedings of the Royal Society of London Series B Biological Sciences
publication_identifier:
  eissn:
  - 1471-2954
  issn:
  - 0962-8452
publication_status: published
publisher: The Royal Society
publist_id: '5090'
quality_controlled: '1'
related_material:
  record:
  - id: '9740'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Anti-pathogen protection versus survival costs mediated by an ectosymbiont
  in an ant host
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 282
year: '2015'
...
---
_id: '1997'
abstract:
- lang: eng
  text: We prove that the three-state toric homogeneous Markov chain model has Markov
    degree two. In algebraic terminology this means, that a certain class of toric
    ideals is generated by quadratic binomials. This was conjectured by Haws, Martin
    del Campo, Takemura and Yoshida, who proved that they are generated by degree
    six binomials.
article_processing_charge: No
arxiv: 1
author:
- first_name: Patrik
  full_name: Noren, Patrik
  id: 46870C74-F248-11E8-B48F-1D18A9856A87
  last_name: Noren
citation:
  ama: Noren P. The three-state toric homogeneous Markov chain model has Markov degree
    two. <i>Journal of Symbolic Computation</i>. 2015;68/Part 2(May-June):285-296.
    doi:<a href="https://doi.org/10.1016/j.jsc.2014.09.014">10.1016/j.jsc.2014.09.014</a>
  apa: Noren, P. (2015). The three-state toric homogeneous Markov chain model has
    Markov degree two. <i>Journal of Symbolic Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.jsc.2014.09.014">https://doi.org/10.1016/j.jsc.2014.09.014</a>
  chicago: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has
    Markov Degree Two.” <i>Journal of Symbolic Computation</i>. Elsevier, 2015. <a
    href="https://doi.org/10.1016/j.jsc.2014.09.014">https://doi.org/10.1016/j.jsc.2014.09.014</a>.
  ieee: P. Noren, “The three-state toric homogeneous Markov chain model has Markov
    degree two,” <i>Journal of Symbolic Computation</i>, vol. 68/Part 2, no. May-June.
    Elsevier, pp. 285–296, 2015.
  ista: Noren P. 2015. The three-state toric homogeneous Markov chain model has Markov
    degree two. Journal of Symbolic Computation. 68/Part 2(May-June), 285–296.
  mla: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has Markov
    Degree Two.” <i>Journal of Symbolic Computation</i>, vol. 68/Part 2, no. May-June,
    Elsevier, 2015, pp. 285–96, doi:<a href="https://doi.org/10.1016/j.jsc.2014.09.014">10.1016/j.jsc.2014.09.014</a>.
  short: P. Noren, Journal of Symbolic Computation 68/Part 2 (2015) 285–296.
corr_author: '1'
date_created: 2018-12-11T11:55:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2025-09-23T14:17:34Z
day: '01'
department:
- _id: CaUh
doi: 10.1016/j.jsc.2014.09.014
external_id:
  arxiv:
  - '1207.0077'
  isi:
  - '000347767600016'
isi: 1
issue: May-June
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1207.0077
month: '05'
oa: 1
oa_version: Preprint
page: 285 - 296
publication: Journal of Symbolic Computation
publication_status: published
publisher: Elsevier
publist_id: '5082'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The three-state toric homogeneous Markov chain model has Markov degree two
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 68/Part 2
year: '2015'
...
