A Gentzen system for conditional logic

Studia Logica 53 (2):243 - 257 (1994)
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}, andfut. In this paper we give a Gentzen type axiomatization for conditional logic.
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DOI 10.1007/BF01054712
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Ryszard Wójcicki (1984). Lectures on Propositional Calculi. Pub. House of the Polish Academy of Sciences.

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