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Short CNF in finitely-valued logics

Authors: Reiner Hähnle;

Short CNF in finitely-valued logics

Abstract

We present a transformation of formulae from arbitrary finitely-valued logics into a conjunctive normal form based on signed atomic formulae which can be used to syntactically characterize many-valued validity with a simple resolution rule very much like in classical logic. The transformation is always linear with relation to the size of the input, and we define a generalized concept of polarity in order to remove clauses which are not needed in the proof. The transformation rules are based on the concept of ’sets-as-signs’ developed earlier by the author in the context of tableau-based deduction in many-valued logics. We claim that the approach presented here is much more efficient than existing approaches to many-valued resolution.

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selected citations
These citations are derived from selected sources.
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!
5
Average
Average
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