5 Search Results for "Diéguez, Martín"

Document
Invited Talk
DOI: 10.4230/LIPIcs.TIME.2020.2
Temporal Modalities in Answer Set Programming (Invited Talk)

Authors: Pedro Cabalar

Published in: LIPIcs, Volume 178, 27th International Symposium on Temporal Representation and Reasoning (TIME 2020)

Abstract
Based on the answer set (or stable model) semantics for logic programs, Answer Set Programming (ASP) has become one of the most successful paradigms for practical Knowledge Representation and problem solving. Although ASP is naturally equipped for solving static combinatorial problems up to NP complexity (or ΣP2 in the disjunctive case) its application to temporal scenarios has been frequent since its very beginning, partly due to its early use for reasoning about actions and change. Temporal problems normally suppose an extra challenge for ASP for several reasons. On the one hand, they normally raise the complexity (in the case of classical planning, for instance, it becomes PSPACE-complete), although this is usually accounted for by making repeated calls to an ASP solver. On the other hand, temporal scenarios also pose a representational challenge, since the basic ASP language does not support temporal expressions. To fill this representational gap, a temporal extension of ASP called Temporal Equilibrium Logic (TEL) was proposed in and extensively studied later. This formalism constitutes a modal, linear-time extension of Equilibrium Logic which, in its turn, is a complete logical characterisation of (standard) ASP based on the intermediate logic of Here-and-There (HT). As a result, TEL is an expressive non-monotonic modal logic that shares the syntax of Linear-Time Temporal Logic (LTL) but interprets temporal formulas under a non-monotonic semantics that properly extends stable models.
Cite as

Pedro Cabalar. Temporal Modalities in Answer Set Programming (Invited Talk). In 27th International Symposium on Temporal Representation and Reasoning (TIME 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 178, pp. 2:1-2:5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2020)

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@InProceedings{cabalar:LIPIcs.TIME.2020.2,
  author =	{Cabalar, Pedro},
  title =	{{Temporal Modalities in Answer Set Programming}},
  booktitle =	{27th International Symposium on Temporal Representation and Reasoning (TIME 2020)},
  pages =	{2:1--2:5},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-167-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{178},
  editor =	{Mu\~{n}oz-Velasco, Emilio and Ozaki, Ana and Theobald, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2020.2},
  URN =		{urn:nbn:de:0030-drops-129707},
  doi =		{10.4230/LIPIcs.TIME.2020.2},
  annote =	{Keywords: Logic Programming, Temporal Logic, Answer Set Programming, Modal Logic}
}
Document
DOI: 10.4230/LIPIcs.TIME.2019.6
The Second Order Traffic Fine: Temporal Reasoning in European Transport Regulations

Authors: Ana de Almeida Borges, Juan José Conejero Rodríguez, David Fernández-Duque, Mireia González Bedmar, and Joost J. Joosten

Published in: LIPIcs, Volume 147, 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)

Abstract
We argue that European transport regulations can be formalized within the Sigma^1_1 fragment of monadic second order logic, and possibly weaker fragments including linear temporal logic. We consider several articles in the regulation to verify these claims.
Cite as

Ana de Almeida Borges, Juan José Conejero Rodríguez, David Fernández-Duque, Mireia González Bedmar, and Joost J. Joosten. The Second Order Traffic Fine: Temporal Reasoning in European Transport Regulations. In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 6:1-6:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)

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@InProceedings{dealmeidaborges_et_al:LIPIcs.TIME.2019.6,
  author =	{de Almeida Borges, Ana and Conejero Rodr{\'\i}guez, Juan Jos\'{e} and Fern\'{a}ndez-Duque, David and Gonz\'{a}lez Bedmar, Mireia and Joosten, Joost J.},
  title =	{{The Second Order Traffic Fine: Temporal Reasoning in European Transport Regulations}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{6:1--6:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-127-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{147},
  editor =	{Gamper, Johann and Pinchinat, Sophie and Sciavicco, Guido},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.6},
  URN =		{urn:nbn:de:0030-drops-113649},
  doi =		{10.4230/LIPIcs.TIME.2019.6},
  annote =	{Keywords: linear temporal logic, monadic second order logic, formalized law, transport regulations}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.14
A Decidable Intuitionistic Temporal Logic

Authors: Joseph Boudou, Martín Diéguez, and David Fernández-Duque

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
We introduce the logic ITL^e, an intuitionistic temporal logic based on structures (W,R,S), where R is used to interpret intuitionistic implication and S is an R-monotone function used to interpret temporal modalities. Our main result is that the satisfiability and validity problems for ITL^e are decidable. We prove this by showing that the logic enjoys the strong finite model property. In contrast, we also consider a 'persistent' version of the logic, ITL^p, whose models are similar to Cartesian products. We prove that, unlike ITL^e, ITL^p does not have the finite model property.
Cite as

Joseph Boudou, Martín Diéguez, and David Fernández-Duque. A Decidable Intuitionistic Temporal Logic. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 14:1-14:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{boudou_et_al:LIPIcs.CSL.2017.14,
  author =	{Boudou, Joseph and Di\'{e}guez, Mart{\'\i}n and Fern\'{a}ndez-Duque, David},
  title =	{{A Decidable Intuitionistic Temporal Logic}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{14:1--14:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.14},
  URN =		{urn:nbn:de:0030-drops-77016},
  doi =		{10.4230/LIPIcs.CSL.2017.14},
  annote =	{Keywords: intuitionistic logic, temporal logic, products of modal logics}
}
Document
DOI: 10.4230/LIPIcs.ICLP.2012.290
Paving the Way for Temporal Grounding

Authors: Felicidad Aguado, Pedro Cabalar, Martín Diéguez, Gilberto Pérez, and Concepción Vidal

Published in: LIPIcs, Volume 17, Technical Communications of the 28th International Conference on Logic Programming (ICLP'12) (2012)

Abstract
In this paper we consider the problem of introducing variables in temporal logic programs under the formalism of Temporal Equilibrium Logic (TEL), an extension of Answer Set Programming (ASP) for dealing with linear-time modal operators. We provide several fundamental contributions that pave the way for the implementation of a grounding process, that is, a method that allows replacing variables by ground instances in all the possible (or better, relevant) ways.
Cite as

Felicidad Aguado, Pedro Cabalar, Martín Diéguez, Gilberto Pérez, and Concepción Vidal. Paving the Way for Temporal Grounding. In Technical Communications of the 28th International Conference on Logic Programming (ICLP'12). Leibniz International Proceedings in Informatics (LIPIcs), Volume 17, pp. 290-300, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2012)

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@InProceedings{aguado_et_al:LIPIcs.ICLP.2012.290,
  author =	{Aguado, Felicidad and Cabalar, Pedro and Di\'{e}guez, Mart{\'\i}n and P\'{e}rez, Gilberto and Vidal, Concepci\'{o}n},
  title =	{{Paving the Way for Temporal Grounding}},
  booktitle =	{Technical Communications of the 28th International Conference on Logic Programming (ICLP'12)},
  pages =	{290--300},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-43-9},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{17},
  editor =	{Dovier, Agostino and Santos Costa, V{\'\i}tor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2012.290},
  URN =		{urn:nbn:de:0030-drops-36301},
  doi =		{10.4230/LIPIcs.ICLP.2012.290},
  annote =	{Keywords: ASP, linear temporal logic, grounding, temporal equilibrium logic}
}
Document
DOI: 10.4230/LIPIcs.ICLP.2012.445
Temporal Answer Set Programming

Authors: Martín Diéguez

Published in: LIPIcs, Volume 17, Technical Communications of the 28th International Conference on Logic Programming (ICLP'12) (2012)

Abstract
Answer Set Programming (ASP) has become a popular way for representing different kinds of scenarios from knowledge representation in Artificial Intelligence. Frequently, these scenarios involve a temporal component which must be considered. In ASP, time is usually represented as a variable whose values are defined by an extensional predicate with a finite domain. Dealing with a finite temporal interval has some disadvantages. First, checking the existence of a plan is not possible and second, it also makes difficult to decide whether two programs are strongly equivalent. If we extend the syntax of Answer Set Programming by using temporal operators from temporal modal logics, then infinite time can be considered, so the aforementioned disadvantages can be overcome. This extension constitutes, in fact, a formalism called Temporal Equilibrium Logic, which is based on Equilibrium Logic (a logical characterisation of ASP). Although recent contributions have shown promising results, Temporal Equilibrium Logic is still a novel paradigm and there are many gaps to fill. Our goal is to keep developing this paradigm, filling those gaps and turning it into a suitable framework for temporal reasoning.
Cite as

Martín Diéguez. Temporal Answer Set Programming. In Technical Communications of the 28th International Conference on Logic Programming (ICLP'12). Leibniz International Proceedings in Informatics (LIPIcs), Volume 17, pp. 445-450, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2012)

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@InProceedings{dieguez:LIPIcs.ICLP.2012.445,
  author =	{Di\'{e}guez, Mart{\'\i}n},
  title =	{{Temporal Answer Set Programming}},
  booktitle =	{Technical Communications of the 28th International Conference on Logic Programming (ICLP'12)},
  pages =	{445--450},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-43-9},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{17},
  editor =	{Dovier, Agostino and Santos Costa, V{\'\i}tor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICLP.2012.445},
  URN =		{urn:nbn:de:0030-drops-36444},
  doi =		{10.4230/LIPIcs.ICLP.2012.445},
  annote =	{Keywords: Answer Set Programming, Temporal Equilibrium Logic, Linear Temporal Logic}
}
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