Publications

Expanding the propositional logic of a t-norm with truth-constants: completeness results for rational semantics

Publication Type:

Journal Article

Authors:

Francesc Esteva; Lluís Godo; Carles Noguera

Source:

Soft Computing - A Fusion of Foundations, Methodologies and Applications, Springer, Volume 14, Issue 3, p.273-284 (2010)

Abstract:

In this paper we consider the expansions of logics of a left-continuous t-norm with truth-constants from a subalgebra of the rational unit interval. From known results on standard semantics, we study completeness for these propositional logics with respect to chains de?ned over the rational unit interval with a special attention to the completeness with respect to the canonical chain, i.e. the algebra over $[0, 1] \cap Q$ where each truth-constant is interpreted in its corresponding rational truth-value. Finally, we study rational completeness results when we restrict ourselves to deductions between the so-called evaluated formulae.

Projects: 
MULOG 2
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