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An infinitary encoding of temporal equilibrium logic*

Published online by Cambridge University Press:  03 September 2015

PEDRO CABALAR ,
MARTÍN DIÉGUEZ  and
CONCEPCIÓN VIDAL
PEDRO CABALAR
Affiliation:
Department of Computer Science, University of Corunna, Spain (e-mail: cabalar@udc.es, concepcion.vidalm@udc.es)
MARTÍN DIÉGUEZ
Affiliation:
IRIT, University of Toulouse, France (e-mail: martin.dieguez@irit.fr)
CONCEPCIÓN VIDAL
Affiliation:
Department of Computer Science, University of Corunna, Spain (e-mail: cabalar@udc.es, concepcion.vidalm@udc.es)
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Abstract

This paper studies the relation between two recent extensions of propositional Equilibrium Logic, a well-known logical characterisation of Answer Set Programming. In particular, we show how Temporal Equilibrium Logic, which introduces modal operators as those typically handled in Linear-Time Temporal Logic (LTL), can be encoded into Infinitary Equilibrium Logic, a recent formalisation that allows the use of infinite conjunctions and disjunctions. We prove the correctness of this encoding and, as an application, we further use it to show that the semantics of the temporal logic programming formalism called TEMPLOG is subsumed by Temporal Equilibrium Logic.

Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 15 , Special Issue 4-5: 31st International Conference on Logic Programming , July 2015 , pp. 666 - 680
Copyright
Copyright © Cambridge University Press 2015 

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Footnotes

*

This research was partially supported by Spanish MEC project TIN2013-42149-P, Xunta de Galicia GPC2013/070, the French Spanish Laboratory for Advanced Studies in Information, Representation and Processing (LEA-IREP) and the Centre International de Mathématiques et Informatique de Toulouse (CIMI).

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