A gentzen system for conditional logic |
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Authors: | Fernando Guzmán |
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Affiliation: | (1) Department of Mathematical Sciences, Binghamton University, 13902-6000 Binghamton, NY, USA |
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Abstract: | Conditional logic is the deductive system  ,  where is the set of propositional connectives { , , } and is the structural finitary consequence relation on the absolutely free algebra that preserves degrees of truth over the structure of truth values C,  . HereC is the non-commutative regular extension of the 2-element Boolean algebra to 3 truth values {t, u, f}, andf<u<t. In this paper we give a Gentzen type axiomatization for conditional logic.Presented byJan Zygmunt |
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