Simplified semantics for relevant logics (and some of their rivals)
Journal of Philosophical Logic 22 (5):481 - 511 (1993)
| Abstract | This paper continues the work of Priest and Sylvan inSimplified Semantics for Basic Relevant Logics, a paper on the simplified semantics of relevant logics, such asB + andB. We show that the simplified semantics can also be used for a large number of extensions of the positive base logicB +, 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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Ross T. Brady (1989). A Content Semantics for Quantified Relevant Logics. II. Studia Logica 48 (2):243 - 257.
Steve Giambrone & Robert K. Meyer (1989). Completeness and Conservative Extension Results for Some Boolean Relevant Logics. Studia Logica 48 (1):1 - 14.
Edwin D. Mares (2004). “Four-Valued” Semantics for the Relevant Logic R. Journal of Philosophical Logic 33 (3):327-341.
Greg Restall (1994). Subintuitionistic Logics. Notre Dame Journal of Formal Logic 35 (1):116-129.
Ross T. Brady (1989). A Routley-Meyer Affixing Style Semantics for Logics Containing Aristotle's Thesis. Studia Logica 48 (2):235 - 241.
Richard Sylvan & Ross Brady (eds.) (1982). Relevant Logics and Their Rivals. Ridgeview Pub. Co..
Graham Priest & Richard Sylvan (1992). Simplified Semantics for Basic Relevant Logics. Journal of Philosophical Logic 21 (2):217 - 232.
Greg Restall (1995). Four-Valued Semantics for Relevant Logics (and Some of Their Rivals). Journal of Philosophical Logic 24 (2):139 - 160.
Greg Restall & Tony Roy (2009). On Permutation in Simplified Semantics. Journal of Philosophical Logic 38 (3):333 - 341.
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