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A Model-Theoretic Approach to Belief Change in Answer Set Programming

A Model-Theoretic Approach to Belief Change in Answer Set Programming A Model-Theoretic Approach to Belief Change in Answer Set Programming JAMES DELGRANDE, Simon Fraser University ¨ TORSTEN SCHAUB, Universitat Potsdam ¨ HANS TOMPITS and STEFAN WOLTRAN, Technische Universitat Wien We address the problem of belief change in (nonmonotonic) logic programming under answer set semantics. Our formal techniques are analogous to those of distance-based belief revision in propositional logic. In particular, we build upon the model theory of logic programs furnished by SE interpretations, where an SE interpretation is a model of a logic program in the same way that a classical interpretation is a model of a propositional formula. Hence we extend techniques from the area of belief revision based on distance between models to belief change in logic programs. We first consider belief revision: for logic programs P and Q, the goal is to determine a program R that corresponds to the revision of P by Q, denoted P Q. We investigate several operators, including (logic program) expansion and two revision operators based on the distance between the SE models of logic programs. It proves to be the case that expansion is an interesting operator in its own right, unlike in classical belief revision where it is http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Computational Logic (TOCL) Association for Computing Machinery

A Model-Theoretic Approach to Belief Change in Answer Set Programming

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References (93)

Publisher
Association for Computing Machinery
Copyright
Copyright © 2013 by ACM Inc.
ISSN
1529-3785
DOI
10.1145/2480759.2480766
Publisher site
See Article on Publisher Site

Abstract

A Model-Theoretic Approach to Belief Change in Answer Set Programming JAMES DELGRANDE, Simon Fraser University ¨ TORSTEN SCHAUB, Universitat Potsdam ¨ HANS TOMPITS and STEFAN WOLTRAN, Technische Universitat Wien We address the problem of belief change in (nonmonotonic) logic programming under answer set semantics. Our formal techniques are analogous to those of distance-based belief revision in propositional logic. In particular, we build upon the model theory of logic programs furnished by SE interpretations, where an SE interpretation is a model of a logic program in the same way that a classical interpretation is a model of a propositional formula. Hence we extend techniques from the area of belief revision based on distance between models to belief change in logic programs. We first consider belief revision: for logic programs P and Q, the goal is to determine a program R that corresponds to the revision of P by Q, denoted P Q. We investigate several operators, including (logic program) expansion and two revision operators based on the distance between the SE models of logic programs. It proves to be the case that expansion is an interesting operator in its own right, unlike in classical belief revision where it is

Journal

ACM Transactions on Computational Logic (TOCL)Association for Computing Machinery

Published: Jun 1, 2013

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