Multi-valued logics

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Citation: Matthew L. Ginsberg. (1986) Multi-valued logics. In KSL-86-29, 1986.

Publication techreport ( Edit )
type Technical Report
bibtype techreport
Bibtex basics
author Matthew L. Ginsberg
title Multi-valued logics
number KSL-86-29
institution Knowledge Systems, AI Laboratory
year 1986
Bibtex more
note Working Paper.
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abstract A great deal of recent theoretical work in inference has involved extending classical logic in some way. I argue that these extensions share two properties: firstly, the formal addition of truth values encoding intermediate levels of validity between true (i.e. valid) and false (i.e. invalid) and, secondly, the addition of truth values encoding intermediate levels of certainty between true or false on the one hand (complete information) and unknown (no information) on the other. Each of these properties can be described by associating lattice structures to the collection of truth values involved; this observation lead us to describe a general framework of which both default logics and truth maintenance systems are special cases.

KSL Technical Report ID: KSL-86-29
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Abstract A great deal of recent theoretical work in A great deal of recent theoretical work in inference has involved extending classical logic in some way. I argue that these extensions share two properties: firstly, the formal addition of truth values encoding intermediate levels of validity between true (i.e. valid) and false (i.e. invalid) and, secondly, the addition of truth values encoding intermediate levels of certainty between true or false on the one hand (complete information) and unknown (no information) on the other. Each of these properties can be described by associating lattice structures to the collection of truth values involved; this observation lead us to describe a general framework of which both default logics and truth maintenance systems are special cases. uth maintenance systems are special cases.
Author Matthew L. Ginsberg  +
Bibtype techreport  +
Has author Matthew L. Ginsberg  +
Has identifier KSL-86-29  +
Has publishing details 1986  +
Has title Multi-valued logics  +
Has where published KSL-86-29  +
Has year 1986  +
Institution Knowledge Systems, AI Laboratory  +
Ksl tr id KSL-86-29  +
Note Working Paper.
Number KSL-86-29  +
Process note YES  +
Title Multi-valued logics  +
Year 1986  +
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