Simplified semantics for relevant logics (and some of their rivals)

Journal of Philosophical Logic 22 (5):481 - 511 (1993)

Authors
Greg Restall
University of Melbourne
Abstract
This paper continues the work of Priest and Sylvan in Simplified Semantics for Basic Relevant Logics, a paper on the simplified semantics of relevant logics, such as B⁺ and B. We show that the simplified semantics can also be used for a large number of extensions of the positive base logic B⁺, and then add the dualising '*' operator to model negation. This semantics is then used to give conservative extension results for Boolean negation
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DOI 10.1007/BF01349561
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References found in this work BETA

A General Logic.John Slaney - 1990 - Australasian Journal of Philosophy 68 (1):74 – 88.
Simplified Semantics for Basic Relevant Logics.Graham Priest & Richard Sylvan - 1992 - Journal of Philosophical Logic 21 (2):217 - 232.

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Citations of this work BETA

The Relevant Fragment of First Order Logic.Guillermo Badia - forthcoming - Review of Symbolic Logic:1-24.
Four-Valued Semantics for Relevant Logics (and Some of Their Rivals).Greg Restall - 1995 - Journal of Philosophical Logic 24 (2):139 - 160.
Notes on Stratified Semantics.Shay Allen Logan - forthcoming - Journal of Philosophical Logic:1-38.

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Similar books and articles

Four-Valued Semantics for Relevant Logics (and Some of Their Rivals).Greg Restall - 1995 - Journal of Philosophical Logic 24 (2):139 - 160.
Simplified Semantics for Basic Relevant Logics.Graham Priest & Richard Sylvan - 1992 - Journal of Philosophical Logic 21 (2):217 - 232.
Relevant Logics and Their Rivals.Richard Sylvan & Ross Brady (eds.) - 1982 - Ridgeview Pub. Co..
Subintuitionistic Logics.Greg Restall - 1994 - Notre Dame Journal of Formal Logic 35 (1):116-129.
“Four-Valued” Semantics for the Relevant Logic R.Edwin D. Mares - 2004 - Journal of Philosophical Logic 33 (3):327-341.
On Permutation in Simplified Semantics.Greg Restall & Tony Roy - 2009 - Journal of Philosophical Logic 38 (3):333 - 341.

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