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Routley-Meyer semantics for R

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This paper deals with Routley-Meyer semantics for two versions of R of Relevance. For this, first, we introduce two systems Rt, RT and their corresponding algebraic semantics. We next consider Routley-Meyer semantics for these systems.

Abstract

This paper deals with Routley-Meyer semantics for two versions of R of Relevance. For this, first, we introduce two systems Rt, RT and their corresponding algebraic semantics. We next consider Routley-Meyer semantics for these systems.

참고문헌 (15)

  1. Anderson, A. R., "Entailment: The Logic of Relevance and Necessity vol. 1" (1975), Princeton Univ. Press
  2. Anderson, A. R., "Entailment: The Logic of Relevance and Necessity vol 2", pp.1992~ (1992), Princeton Univ. Press
  3. Cintula, P., "Weakly Implicative (Fuzzy) Logics I: Basic properties", Archive for Mathematical Logic, 45, pp.673~704 (2006)
  4. Dunn, J. M., "Handbook of Philosophical Logic vol III", pp.117~224 (1986), Dordrecht, D. Reidel Publ
  5. Dunn, J. M., "Partiality and its Dual", Studia Logica, 66, pp.5~40 (2000)
  6. Dunn, J. M., "Algebraic Methods in Philosophical Logic" (2001), Oxford Univ Press
  7. Kripke, S., "Semantic analysis of modal logic I: normal modal propositional calculi", Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 9, pp.67~96 (1963)
  8. Kripke, S., "Formal systems and Recursive Functions", pp.92~129 (1965), North-Holland Publ. Co. . pp. 92-129
  9. Kripke, S., "The theory of models", pp.206~220 (1965), North-Holland Publ. Co.
  10. Meyer, R. K., "Completeness of relevant quantification theories", Notre Dame Journal of Formal Logic, 15, pp.97~121 (1976)
  11. Routley, R., "The semantics of entailment (Ⅲ)", Journal of Philosophical Logic, 1, pp.192~208 (1972)
  12. Routley, R., "Truth, Syntax, and Modality", pp.199~243 (1973), North-Holland Publ. Co.
  13. 양은석, "R, fuzzy R, and Algebraic Kripke-style Semantics", 논리연구, 15(2), pp.207~221 (2012), 한국논리학회[DOI]
  14. Yang, E., "R and Relevance principle revisited", Journal of Philosophical Logic, 42, pp.767~782 (2013)
  15. Yang, E., "Algebraic Kripke-style semantics for relevance logics", Journal of Philosophical Logic, 43, pp.803~826 (2014)

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