Hilbert-Style Axiom Systems for the Matrix-Based Logics RMQ − and RMQ

Studia Logica 103 (5):985-1003 (2015)
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Abstract

This paper deals with the axiomatizability problem for the matrix-based logics RMQ − and RMQ *. We present a Hilbert-style axiom system for RMQ −, and a quasi-axiomatization based on it for RMQ *. We further compare these logics to different well-known modal logics, and assess its status as relevance logics

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Entailment: The Logic of Relevance and Neccessity, Vol. I.Alan Ross Anderson & Nuel D. Belnap - 1975 - Princeton, N.J.: Princeton University Press. Edited by Nuel D. Belnap & J. Michael Dunn.
Many-valued logics.J. Barkley Rosser - 1977 - Westport, Conn.: Greenwood Press. Edited by Atwell R. Turquette.
Matrix-based logic for application in physics.Paul Weingartner - 2009 - Review of Symbolic Logic 2 (1):132-163.
Axiom schemes for m-valued propositional calculi.J. B. Rosser & A. R. Turquette - 1945 - Journal of Symbolic Logic 10 (3):61-82.

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