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Disjunctive ASP with functions: Decidable queries and effective computation*

Published online by Cambridge University Press:  09 July 2010

MARIO ALVIANO ,
WOLFGANG FABER  and
NICOLA LEONE
MARIO ALVIANO
Affiliation:
Department of Mathematics, University of Calabria, 87036 Rende (CS), Italy (e-mail: alviano@mat.unical.it, faber@mat.unical.it, leone@mat.unical.it)
WOLFGANG FABER
Affiliation:
Department of Mathematics, University of Calabria, 87036 Rende (CS), Italy (e-mail: alviano@mat.unical.it, faber@mat.unical.it, leone@mat.unical.it)
NICOLA LEONE
Affiliation:
Department of Mathematics, University of Calabria, 87036 Rende (CS), Italy (e-mail: alviano@mat.unical.it, faber@mat.unical.it, leone@mat.unical.it)
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Abstract

Querying over disjunctive ASP with functions is a highly undecidable task in general. In this paper we focus on disjunctive logic programs with stratified negation and functions under the stable model semantics (ASPfs). We show that query answering in this setting is decidable, if the query is finitely recursive (ASPfsfr). Our proof yields also an effective method for query evaluation. It is done by extending the magic set technique to ASPfsfr. We show that the magic-set rewritten program is query equivalent to the original one (under both brave and cautious reasoning). Moreover, we prove that the rewritten program is also finitely ground, implying that it is decidable. Importantly, finitely ground programs are evaluable using existing ASP solvers, making the class of ASPfsfr queries usable in practice.

Keywords

answer set programmingdecidabilitymagic setsdisjunctive logic programs
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 10 , Special Issue 4-6: 26th International Conference on Logic Programming , July 2010 , pp. 497 - 512
Copyright
Copyright © Cambridge University Press 2010

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