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

Greg Restall

doi:10.1007/BF01349561

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

Greg Restall^*

^*Corresponding author for this work

Philosophy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	481-511
Number of pages	31
Journal	Journal of Philosophical Logic
Volume	22
Issue number	5
DOIs	https://doi.org/10.1007/BF01349561
Publication status	Published - Oct 1993

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title = "Simplified semantics for relevant logics (and some of their rivals)",

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

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