Stable models of formulas with intensional functions

Michael Bartholomew, Joohyung Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Scopus citations

Abstract

In classical logic, nonBoolean fluents, such as the location of an object and the color of a ball, can be naturally described by functions, but this is not the case with the traditional stable model semantics, where the values of functions are predefined, and nonmonotonicity of the semantics is related to minimizing the extents of predicates but has nothing to do with functions. We extend the first-order stable model semantics by Ferraris, Lee and Lifschitz to allow intensional functions. The new formalism is closely related to multivalued nonmonotonic causal logic, logic programs with in-tensional functions, and other extensions of logic programs with functions, while keeping similar properties as those of the first-order stable model semantics. We show how to eliminate intensional functions in favor of intensional predicates and vice versa, and use these results to encode fragments of the language in the input language of ASP solvers and CSP solvers.

Original languageEnglish (US)
Title of host publication13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2-12
Number of pages11
ISBN (Print)9781577355601
StatePublished - Jan 1 2012
Event13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012 - Rome, Italy
Duration: Jun 10 2012Jun 14 2012

Publication series

NameProceedings of the International Workshop on Temporal Representation and Reasoning

Other

Other13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012
CountryItaly
CityRome
Period6/10/126/14/12

ASJC Scopus subject areas

  • Software

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