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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article
Data sources: zbMATH Open
https://doi.org/10.1007/3-540-...
Part of book or chapter of book . 1993 . Peer-reviewed
Data sources: Crossref
Fundamenta Informaticae
Article . 1994 . Peer-reviewed
Data sources: Crossref
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The logic of only knowing as a unified framework for non-monotonic reasoning

Authors: Jianhua Chen;

The logic of only knowing as a unified framework for non-monotonic reasoning

Abstract

Summary: We propose to use the logic of only knowing (OL) by Levesque as a unified framework that encompasses various non-monotonic formalisms and logic programming. OL is a modal logic which can be used to formalize an agent's introspective reasoning and to answer epistemic queries to databases. The OL logic allows one to formally express the statement ``\(\alpha\) is all I know'' (in symbols, \(O \alpha)\) and to perform inferencing based on only-knowing, which is very useful for common-sense reasoning. Another nice thing about the OL logic is that it has a clear model-theoretic semantics and a simple proof theory, which is sound for the quantificational case, and both sound and complete for the propositional case. We establish the relations between OL and various nonmonotonic logics (such as default logic, circumscription) and logic programming, thus extending the existing works relating the OL logic with other nonmonotonic reasoning formalisms (e.g., Levesque showed that autoepistemic logic can be embedded in OL). This is accomplished by finding the connection between OL and MBNF, the logic of Minimal Belief and Negation as Failure proposed by Lifschitz, which is known to have close relationship with logic programming and other nonmonotonic logics. Our results show that OL can be used as a unified framework to compare different non-monotonic formalism based on the same domain.

Related Organizations
Keywords

Logic in artificial intelligence, only knowing, negation as failure, Logic programming, minimal belief

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Average
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