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Relational proof system for relevant logics

Published online by Cambridge University Press:  12 March 2014

Ewa Orlowska
Ewa Orlowska*
Affiliation:
Institute of Theoretical and Applied Computer Science, Polish Academy of Sciences
*
Azaliowa 29, 04-539 Warsaw, Poland, E-mail: orlowska@plearn.bitnet
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Abstract

A method is presented for constructing natural deduction-style systems for propositional relevant logics. The method consists in first translating formulas of relevant logics into ternary relations, and then defining deduction rules for a corresponding logic of ternary relations. Proof systems of that form are given for various relevant logics. A class of algebras of ternary relations is introduced that provides a relation-algebraic semantics for relevant logics.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 4 , December 1992 , pp. 1425 - 1440
Copyright
Copyright © Association for Symbolic Logic 1992

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