3 Search Results for "De Cock, Martine"

Document
DOI: 10.4230/LIPIcs.SAT.2025.19
An Application of SAT Solvers in Integer Programming Games

Authors: Pravesh Koirala, Aditya Shrey, and Forrest Laine

Published in: LIPIcs, Volume 341, 28th International Conference on Theory and Applications of Satisfiability Testing (SAT 2025)

Abstract
Integer programming games (IPGs) are a popular game-theoretic tool to model an array of games where each player has a discrete strategy set. These games arise in important domains such as economics, transportation, cybersecurity, etc., but solving them is non-trivial as it is known that checking for the existence of pure Nash equilibria in an IPG is Σ₂^p-complete. Recent works have proposed a class of relaxed solution concepts for IPGs called locally optimal integer solutions (LOIS) and shown it to be an efficient alternative for pure Nash equilibria. While LOIS are significantly simpler to compute, they still do not scale when solved using traditional mathematical solvers, especially when high-quality solutions are desired. In this paper, we apply commercially available SAT solvers to find LOIS in IPGs. We investigate efficient encodings for a cybersecurity game and compare solution times when using SAT solvers vs mathematical program solvers. We also investigate the application of SAT solvers in graph games using a graph interdiction example and compare against the obtained LOI solutions against existing heuristics-based solutions. Our results indicate that with appropriate encodings, large-scale IPGs can be solved much more efficiently using SAT solvers. We also show that SAT solvers can be applied to graph games in conjunction with LOIS for obtaining high-quality solutions. Our results emphasize the potential of SAT solvers combined with LOIS to solve significant game theory problems.
Cite as

Pravesh Koirala, Aditya Shrey, and Forrest Laine. An Application of SAT Solvers in Integer Programming Games. In 28th International Conference on Theory and Applications of Satisfiability Testing (SAT 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 341, pp. 19:1-19:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025)

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@InProceedings{koirala_et_al:LIPIcs.SAT.2025.19,
  author =	{Koirala, Pravesh and Shrey, Aditya and Laine, Forrest},
  title =	{{An Application of SAT Solvers in Integer Programming Games}},
  booktitle =	{28th International Conference on Theory and Applications of Satisfiability Testing (SAT 2025)},
  pages =	{19:1--19:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-381-2},
  ISSN =	{1868-8969},
  year =	{2025},
  volume =	{341},
  editor =	{Berg, Jeremias and Nordstr\"{o}m, Jakob},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2025.19},
  URN =		{urn:nbn:de:0030-drops-237534},
  doi =		{10.4230/LIPIcs.SAT.2025.19},
  annote =	{Keywords: Game Theory, Integer Programming Games, SAT Solvers, Local Solutions, Graph Games}
}
Document
DOI: 10.4230/LIPIcs.ICLP.2010.34
Communicating Answer Set Programs

Authors: Kim Bauters, Jeroen Janssen, Steven Schockaert, Dirk Vermeir, and Martine De Cock

Published in: LIPIcs, Volume 7, Technical Communications of the 26th International Conference on Logic Programming (2010)

Abstract
Answer set programming is a form of declarative programming that has proven very successful in succinctly formulating and solving complex problems. Although mechanisms for representing and reasoning with the combined answer set programs of multiple agents have already been proposed, the actual gain in expressivity when adding communication has not been thoroughly studied. We show that allowing simple programs to talk to each other results in the same expressivity as adding negation-as-failure. Furthermore, we show that the ability to focus on one program in a network of simple programs results in the same expressivity as adding disjunction in the head of the rules.
Cite as

Kim Bauters, Jeroen Janssen, Steven Schockaert, Dirk Vermeir, and Martine De Cock. Communicating Answer Set Programs. In Technical Communications of the 26th International Conference on Logic Programming. Leibniz International Proceedings in Informatics (LIPIcs), Volume 7, pp. 34-43, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{bauters_et_al:LIPIcs.ICLP.2010.34,
  author =	{Bauters, Kim and Janssen, Jeroen and Schockaert, Steven and Vermeir, Dirk and De Cock, Martine},
  title =	{{Communicating Answer Set Programs}},
  booktitle =	{Technical Communications of the 26th International Conference on Logic Programming},
  pages =	{34--43},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-17-0},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{7},
  editor =	{Hermenegildo, Manuel and Schaub, Torsten},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2010.34},
  URN =		{urn:nbn:de:0030-drops-25813},
  doi =		{10.4230/LIPIcs.ICLP.2010.34},
  annote =	{Keywords: }
}
Document
DOI: 10.4230/LIPIcs.ICLP.2010.64
Efficient Solving of Time-dependent Answer Set Programs

Authors: Timur Fayruzov, Jeroen Janssen, Dirk Vermeir, Chris Cornelis, and Martine De Cock

Published in: LIPIcs, Volume 7, Technical Communications of the 26th International Conference on Logic Programming (2010)

Abstract
Answer set programs with time predicates are useful to model systems whose properties depend on time, like for example gene regulatory networks. A state of such a system at time point t then corresponds to the literals of an answer set that are grounded with time constant t. An important task when modelling time-dependent systems is to find steady states from which the system's behaviour does not change anymore. This task is complicated by the fact that it is typically not known in advance at what time steps these steady states occur. A brute force approach of estimating a time upper bound tmax and grounding and solving the program w.r.t. that upper bound leads to a suboptimal solving time when the estimate is too low or too high. In this paper we propose a more efficient algorithm for solving Markovian programs, which are time-dependent programs for which the next state depends only on the previous state. Instead of solving these Markovian programs for a long time interval {0,...,tmax}, we successively find answer sets of parts of the grounded program. Our approach guarantees the discovery of all steady states and cycles while avoiding unnecessary extra work.
Cite as

Timur Fayruzov, Jeroen Janssen, Dirk Vermeir, Chris Cornelis, and Martine De Cock. Efficient Solving of Time-dependent Answer Set Programs. In Technical Communications of the 26th International Conference on Logic Programming. Leibniz International Proceedings in Informatics (LIPIcs), Volume 7, pp. 64-73, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)

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@InProceedings{fayruzov_et_al:LIPIcs.ICLP.2010.64,
  author =	{Fayruzov, Timur and Janssen, Jeroen and Vermeir, Dirk and Cornelis, Chris and De Cock, Martine},
  title =	{{Efficient Solving of Time-dependent Answer Set Programs}},
  booktitle =	{Technical Communications of the 26th International Conference on Logic Programming},
  pages =	{64--73},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-17-0},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{7},
  editor =	{Hermenegildo, Manuel and Schaub, Torsten},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2010.64},
  URN =		{urn:nbn:de:0030-drops-25841},
  doi =		{10.4230/LIPIcs.ICLP.2010.64},
  annote =	{Keywords: Answer set programming, time-dependent programs, gene regulation networks}
}
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