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» Admissible Rules of Lukasiewicz Logic
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EUSFLAT
2001
119views Fuzzy Logic» more  EUSFLAT 2001»
13 years 7 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 5 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 3 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 10 days 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 5 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