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ASPeRiX, a first-order forward chaining approach for answer set computing*

Published online by Cambridge University Press:  16 January 2017

CLAIRE LEFÈVRE ,
CHRISTOPHER BÉATRIX ,
IGOR STÉPHAN  and
LAURENT GARCIA
CLAIRE LEFÈVRE
Affiliation:
LERIA, University of Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France (e-mails: [email protected], [email protected], [email protected], [email protected])
CHRISTOPHER BÉATRIX
Affiliation:
LERIA, University of Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France (e-mails: [email protected], [email protected], [email protected], [email protected])
IGOR STÉPHAN
Affiliation:
LERIA, University of Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France (e-mails: [email protected], [email protected], [email protected], [email protected])
LAURENT GARCIA
Affiliation:
LERIA, University of Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex 01, France (e-mails: [email protected], [email protected], [email protected], [email protected])
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Abstract

The natural way to use Answer Set Programming (ASP) to represent knowledge in Artificial Intelligence or to solve a combinatorial problem is to elaborate a first-order logic program with default negation. In a preliminary step, this program with variables is translated in an equivalent propositional one by a first tool: the grounder. Then, the propositional program is given to a second tool: the solver. This last one computes (if they exist) one or many answer sets (stable models) of the program, each answer set encoding one solution of the initial problem. Until today, almost all ASP systems apply this two steps computation. In this article, the project ASPeRiX. is presented as a first-order forward chaining approach for Answer Set Computing. This project was among the first to introduce an approach of answer set computing that escapes the preliminary phase of rule instantiation by integrating it in the search process. The methodology applies a forward chaining of first-order rules that are grounded on the fly by means of previously produced atoms. Theoretical foundations of the approach are presented, the main algorithms of the ASP solver ASPeRiX. are detailed and some experiments and comparisons with existing systems are provided.

Keywords

Answer set programmingsolver implementationgrounding on the flyfirst-orderforward chaining
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 17 , Issue 3 , May 2017 , pp. 266 - 310
Copyright
Copyright © Cambridge University Press 2017 

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Footnotes

*

This work was supported by ANR (National Research Agency), project ASPIQ under the reference ANR-12-BS02-0003.

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