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The B4-valued propositional logic with unary logical connectives ∼1 / ∼2 /¬ |
Wei LI1, Yuefei SUI2( ) |
1. State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2. Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract A B4-valued propositional logic will be proposed in this paper which there are three unary logical connectives ∼1, ∼2, ¬ and two binary logical connectives ∧, ∨, and a Gentzen-typed deduction system will be given so that the system is sound and complete with B4-valued semantics, where B4 is a Boolean algebra.
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| Keywords
the Belnap logic
modality
the soundness
the completeness
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Corresponding Author(s):
Yuefei SUI
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Just Accepted Date: 23 June 2016
Online First Date: 09 June 2017
Issue Date: 26 September 2017
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