Relational proof system for relevant logics

Author:

Orlowska Ewa

Abstract

AbstractA 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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3. Completeness and conservative extension results for some boolean relevant logics

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