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On Prior's three-valued modal logic Q

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2 Author(s)
Akama, S. ; Dept. of Inf. Syst., Teikyo Heisei Univ., Chiba, Japan ; Nagata, Y.

Prior proposed a three-valued modal logic Q as a "correct" modal logic from his philosophical motivations. Unfortunately, Prior's Q and many-valued modal logic have been neglected in the tradition of many-valued and modal logic. In this paper, we introduce a version of three-valued Kripke semantics for Q, which aims to establish Prior's ideas based on possible worlds. We investigate formal properties of Q and prove the completeness theorem of Q. We also compare our approach with others.

Published in:

Multiple-Valued Logic, 2005. Proceedings. 35th International Symposium on

Date of Conference:

19-21 May 2005