R, fuzzy R, and Algebraic Kripke-style Semantics
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This paper deals with Kripke-style semantics for FR, a fuzzy version of R of Relevance. For this, first, we introduce FR, define the corresponding algebraic structures FR-algebras, and give algebraic completeness results for it. We next introduce an algebraic Kripke-style semantics for FR, and connect it with algebraic semantics. We furthermore show that such semantics does not work for R.
Abstract
This paper deals with Kripke-style semantics for FR, a fuzzy version of R of Relevance. For this, first, we introduce FR, define the corresponding algebraic structures FR-algebras, and give algebraic completeness results for it. We next introduce an algebraic Kripke-style semantics for FR, and connect it with algebraic semantics. We furthermore show that such semantics does not work for R.
참고문헌 (12)
- Anderson, A. R., "Entailment: The Logic of Relevance and Necessity, vol. 1" (1975), Princeton Univ. Press
- Anderson, A. R., "Entailment : The Logic of Relevance and Necessity, vol. 2" (1992), Princeton Univ. Press
- Cintula, P., "Weakly Implicative (Fuzzy) Logics I: Basic properties", pp.673~704 (2006), Archive for Mathematical Logic
- Dunn, J. M., "A Kripke-style semantics for R-Mingle using a binary accessibility relation", Studia Logica, 35, pp.163~172 (1976)
- Dunn, J. M., "Relevance logic and entailment5", pp.117~224 (1986), Reidel Publ. Co
- Dunn, J. M., "Partiality and its Dual", Studia Logica, 66, pp.5~40 (2000)
- Meyer, R. K., "Completeness of relevant quantification theories", NotreDame Journal of Formal Logic, 15, pp.97~121 (1976)
- Montagna, F, "Kripke-style semantics for many-valued logics", Mathematical Logic Quaterly, 49, pp.629~641 (2003)
- Montagna, F, "Corrigendum to“Kripke-style semantics for many-valued logics", Mathematical Logic Quaterly, 50, pp.104~107 (2004)
- Tsinakis, C., "The structure of residuated lattices", International Journal of Algebra and Computation, 13, pp.437~461 (2003)
- 양은석, "Kripke-style Semantics for UL", 논리연구, 15(1), pp.1~15 (2012), 한국논리학회
- Yang, E, "Algebraic Kripke-style semantics for relevance logics", manuscript, ~
