RI: A logic for reasoning with inconsistency

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Abstract

The authors present a logic, called RI (reasoning with inconsistency), that treats any set of clauses, either consistent or not, in a uniform way. In this logic, consequences of a contradiction are not nearly as damaging as in the standard predicate calculus, and meaningful information can still be extracted from an inconsistent set of formulas. RI has a resolution-based sound and complete proof procedure. It is a much richer logic than the predicate calculus, and the latter can be imitated within RI in several different ways (depending on the intended meaning of the predicate calculus formulas). The authors also introduce a novel notion of epistemic entailment and show its importance for investigating inconsistency in the predicate calculus.

Original languageEnglish
Title of host publicationProc Fourth Ann Symp Logic Comput Sci
Editors Anon
PublisherPubl by IEEE
Pages253-262
Number of pages10
ISBN (Print)0818619546
StatePublished - 1989
Externally publishedYes
EventProceedings of the Fourth Annual Symposium on Logic in Computer Science - Pacific Grove, CA, USA
Duration: 5 Jun 19898 Jun 1989

Publication series

NameProc Fourth Ann Symp Logic Comput Sci

Conference

ConferenceProceedings of the Fourth Annual Symposium on Logic in Computer Science
CityPacific Grove, CA, USA
Period5/06/898/06/89

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