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» Admissible Rules of Lukasiewicz Logic
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EUSFLAT
2001
119views Fuzzy Logic» more  EUSFLAT 2001»
13 years 11 months ago
Divisible MV-algebras as an algebraic model for fuzzy control
In this paper we shall describe a very natural extension of MV-algebras, the divisible MV-algebras (DMV). Such algebraic structures will be used to give a formal description of ru...
Brunella Gerla
AML
2007
80views more  AML 2007»
13 years 10 months ago
Normal forms for fuzzy logics: a proof-theoretic approach
A method is described for obtaining conjunctive normal forms for logics using Gentzen-style rules possessing a special kind of strong invertibility. This method is then applied to ...
Petr Cintula, George Metcalfe
LICS
2010
IEEE
13 years 7 months ago
Datalog+/-: A Family of Logical Knowledge Representation and Query Languages for New Applications
Abstract--This paper summarizes results on a recently introduced family of Datalog-based languages, called Datalog+/-, which is a new framework for tractable ontology querying, and...
Andrea Calì, Georg Gottlob, Thomas Lukasiew...
CSL
2009
Springer
14 years 4 months ago
Expanding the Realm of Systematic Proof Theory
Abstract. This paper is part of a general project of developing a systematic and algebraic proof theory for nonclassical logics. Generalizing our previous work on intuitionistic-su...
Agata Ciabattoni, Lutz Straßburger, Kazushig...
IGPL
1998
64views more  IGPL 1998»
13 years 9 months ago
Formulas for which Contraction is Admissible
A formula A is said to have the contractionproperty in a logic L i whenever A;A;? `L B (when ? is a multiset) also A;? `L B. In MLL and in MALL without the additive constants a fo...
Arnon Avron