Journal of Symbolic Logic 57 (4):1425-1440 (1992)

Authors
Ewa Orlowska
Institute of Telecommunications and Information Technology
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
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DOI 10.2307/2275375
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References found in this work BETA

Display Logic.Nuel D. Belnap - 1982 - Journal of Philosophical Logic 11 (4):375-417.
Cylindric Algebras.Leon Henkin & Alfred Tarski - 1967 - Journal of Symbolic Logic 32 (3):415-416.
The Gentzenization and Decidability of RW.Ross T. Brady - 1990 - Journal of Philosophical Logic 19 (1):35 - 73.

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Citations of this work BETA

Rasiowa-Sikorski Proof System for the Non-Fregean Sentential Logic SCI.Joanna Golinska-Pilarek - 2007 - Journal of Applied Non-Classical Logics 17 (4):509–517.
Equational Reasoning in Non-Classical Logics.Marcelo Frias & Ewa Orlowska - 1998 - Journal of Applied Non-Classical Logics 8 (1-2):27-66.
Display Calculi for Logics with Relative Accessibility Relations.Stéphane Demri & Rajeev Goré - 2000 - Journal of Logic, Language and Information 9 (2):213-236.

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