Propositional Mixed Logic: Its Syntax and Semantics

Details Propositional Mixed Logic: Its Syntax and Semantics Propositional Mixed Logic: Its Syntax and Semantics

2009-05-04

arxiv.org/abs/0905.0369v1

Journal of Applied Non-Classical Logics 13 (2003) 377-390

Mathematics

Logic

Scientific paper

In this paper, we present a propositional logic (called mixed logic) containing disjoint copies of minimal, intuitionistic and classical logics. We prove a completeness theorem for this logic with respect to a Kripke semantics. We establish some relations between mixed logic and minimal, intuitionistic and classical logics. We present at the end a sequent calculus version for this logic.

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