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A Logic of Arbitrary and Indefinite Objects

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

16 Scopus citations

Abstract

A Logic of Arbitrary and Indefinite Objects, LA, has been developed as the logic for knowledge representation and reasoning systems designed to support natural language understanding and generation, and commonsense reasoning. The motivations for the design of LA are given, along with an informal introduction to the theory of arbitrary and indefinite objects, and to LA itself. LA is then formally defined by presenting its syntax, proof theory, and semantics, which are given via a translation scheme between LA and the standard classical First-Order Predicate Logic. Soundness is proved. The completeness theorem for LA is stated, and its proof is sketched. LA is being implemented as the logic of SNePS 3, the latest member of the SNePS family of Knowledge Representation and Reasoning systems.

Original languageEnglish
Title of host publicationPrinciples of Knowledge Representation and Reasoning
Subtitle of host publicationProceedings of the 9th International Conference, KR 2004
PublisherAAAI press
Pages565-575
Number of pages11
ISBN (Electronic)1577351991, 9781577351993
StatePublished - 2004
Event9th International Conference on Principles of Knowledge Representation and Reasoning, KR 2004 - Whistler, Canada
Duration: Jun 2 2004Jun 5 2004

Publication series

NamePrinciples of Knowledge Representation and Reasoning: Proceedings of the 9th International Conference, KR 2004

Conference

Conference9th International Conference on Principles of Knowledge Representation and Reasoning, KR 2004
Country/TerritoryCanada
CityWhistler
Period06/2/0406/5/04

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