Archive for Mathematical Logic 47 (5):435-446 (2008)

Abstract
This paper is a contribution to the general study of consequence relations which contain (definable) connective of “disjunction”. Our work is centered around the “proof by cases property”, we present several of its equivalent definitions, and show some interesting applications, namely in constructing axiomatic systems for intersections of logics and recognizing weakly implicative fuzzy logics among the weakly implicative ones
Keywords Logics with disjunction  Consequence relation  Proof by cases property  Intersections of logics  Weakly implicative logics  Weakly implicative fuzzy logics
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DOI 10.1007/s00153-008-0088-0
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References found in this work BETA

An Algebraic Approach to Non-Classical Logics.Helena Rasiowa - 1974 - Amsterdam, Netherlands: Warszawa, Pwn - Polish Scientific Publishers.
A Survey of Abstract Algebraic Logic.J. M. Font, R. Jansana & D. Pigozzi - 2003 - Studia Logica 74 (1-2):13 - 97.
An Introduction to Substructural Logics (Review).Kosta Dosen - 2001 - Bulletin of Symbolic Logic 7 (4):527-530.
Weakly Implicative (Fuzzy) Logics I: Basic Properties. [REVIEW]Petr Cintula - 2006 - Archive for Mathematical Logic 45 (6):673-704.

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Citations of this work BETA

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The Finite Model Property for Semilinear Substructural Logics.San-Min Wang - 2013 - Mathematical Logic Quarterly 59 (4-5):268-273.

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