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Reasoning about Actions with Temporal Answer Sets

Laura Giordano (Univ. Piemonte Orientale)
Alberto Martelli (Univ. Torino)
Daniele Theseider Duprè (Univ. Piemonte Orientale)


In this paper we combine Answer Set Programming (ASP) with Dynamic Linear Time Temporal Logic (DLTL) to define a temporal logic programming language for reasoning about complex actions and infinite computations. DLTL extends propositional temporal logic of linear time with regular programs of propositional dynamic logic, which are used for indexing temporal modalities. The action language allows general DLTL formulas to be included in domain descriptions to constrain the space of possible extensions. We introduce a notion of Temporal Answer Set for domain descriptions, based on the usual notion of Answer Set. Also, we provide a translation of domain descriptions into standard ASP and we use Bounded Model Checking techniques for the verification of DLTL constraints.

Bibtex (Use it for references)

journal = {Theory and Practice of Logic Programming},
publisher = {Cambridge University Press},
author = {Laura Giordano and Alberto Martelli and Daniele Theseider Dupr{\’e}},
title = {{Reasoning about actions with Temporal Answer Sets}},
volume = {13},
number = {2},
year = {2013},
pages = {201-225}

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