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A gentzen system for conditional logic
Authors:Fernando Guzmán
Affiliation:(1) Department of Mathematical Sciences, Binghamton University, 13902-6000 Binghamton, NY, USA
Abstract:Conditional logic is the deductive system lang
$$mathcal{L}$$
, vDashrang where
$$mathcal{L}$$
is the set of propositional connectives {and, or,prime} and vDash is the structural finitary consequence relation on the absolutely free algebra
$$F_{m_mathcal{L} } $$
that preserves degrees of truth over the structure of truth values langC, lerang. 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
Keywords:
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