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LOGCOM
2010
114views more  LOGCOM 2010»
15 years 11 days ago
Admissible Rules of Lukasiewicz Logic
We investigate admissible rules of Lukasiewicz multi-valued propositional logic. We show that admissibility of multiple-conclusion rules in Lukasiewicz logic, as well as validity ...
Emil Jerábek
APAL
2005
154views more  APAL 2005»
15 years 1 months ago
A Sahlqvist theorem for distributive modal logic
In this paper we consider distributive modal logic, a setting in which we may add modalities, such as classical types of modalities as well as weak forms of negation, to the fragm...
Mai Gehrke, Hideo Nagahashi, Yde Venema
DAM
2008
125views more  DAM 2008»
15 years 2 months ago
Heyting algebras with Boolean operators for rough sets and information retrieval applications
This paper presents an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of Rough Set concepts in particular...
Eric SanJuan
JANCL
2002
113views more  JANCL 2002»
15 years 1 months ago
Canonicity and Completeness Results for Many-Valued Modal Logics
We prove frame determination results for the family of many-valued modal logics introduced by M. Fitting in the early '90s. Each modal language of this family is based on a H...
Costas D. Koutras, Christos Nomikos, Pavlos Peppas
ENTCS
2010
105views more  ENTCS 2010»
15 years 2 months ago
From Focalization of Logic to the Logic of Focalization
Focalization property is a deep outcome of linear logic proof theory, putting to the foreground the role of polarity in logic. It resulted an important advances in various fields, ...
Michele Basaldella, Alexis Saurin, Kazushige Terui