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RMt, Pretabularity, and Kripke-Style Semantics

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This paper investigates the pretabularity property of a fixpointed extension of the logic RMt (FRMt) using Kripke-style semantics. For this, the systems RMt, FRMt and their algebraic semantics are first discussed. Next Kripke-style semantics are established. for them. Finally, the pretabularity of FRMt is considered based on Kripke frames.

Abstract

This paper investigates the pretabularity property of a fixpointed extension of the logic RMt (FRMt) using Kripke-style semantics. For this, the systems RMt, FRMt and their algebraic semantics are first discussed. Next Kripke-style semantics are established. for them. Finally, the pretabularity of FRMt is considered based on Kripke frames.

참고문헌 (12)

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  2. Esteva. F., "Monoidal t-norm based logic: towards a logic for left-continuous t-norms", Fuzzy Sets and Systems, 124, pp.271~288 (2001)
  3. Montagna, F., "Kripke semantics, undecidability and standard completeness for Esteva and Godo's Logic MTL∀", Studia Logica, 7, pp.227~245 (2002)
  4. Montagna, F., "Kripke-style semantics for many-valued logics", Mathematical Logic Quarterly, 49, pp.629~641 (2003)
  5. Sugihara, T., "Memoirs of the Faculty of Liberal Arts", pp.55~59 (1955), Fukui University
  6. 양은석, "Kripke-style Semantics for UL", 논리연구, 15(1), pp.1~15 (2012), 한국논리학회[DOI]
  7. Yang, E., "Algebraic Kripke-style semantics for relevance logics", Journal of Philosophical Logic, 43, pp.803~826 (2014)
  8. 양은석, "Algebraic Kripke-style semantics for substructural fuzzy logics", 논리연구, 19(2), pp.295~322 (2016), 한국논리학회[DOI]
  9. Yang, E., "Fixpointed idempotent uninorm (based) logics", Mathematics, 7(1), pp.1~15 (2019)
  10. 양은석, "Involutive Idempotent Uninorm Logics and Pretabularity", 논리연구, 22(3), pp.397~415 (2019), 한국논리학회[DOI]
  11. Yang, E., "Nilpotent Minimum Logic NM and Pretabularity", Bulletin of the Section of Logic, 49, pp.1~11 (2020)
  12. Yang, E., "Algebraic relational semantics for basic substructural logics", Logique et Analyse, 252, pp.415~441 (2020)

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