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» The logic of proofs, semantically
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LICS
1989
IEEE
14 years 1 months ago
Negation As Refutation
A refutation mechanism is introduced into logic programming, dual to the usual proof mechanism; then negation is treated via refutation. A four-valued logic is appropriate for the...
Melvin Fitting
NMR
2004
Springer
14 years 2 months ago
Semantics of disjunctive programs with monotone aggregates - an operator-based approach
All major semantics of normal logic programs and normal logic programs with aggregates can be described as fixpoints of the one-step provability operator or of operators that can...
Nikolay Pelov, Miroslaw Truszczynski
ENTCS
2008
102views more  ENTCS 2008»
13 years 9 months ago
Functorial Coalgebraic Logic: The Case of Many-sorted Varieties
Following earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This p...
Alexander Kurz, Daniela Petrisan
JSYML
2006
85views more  JSYML 2006»
13 years 9 months ago
An alternative semantics for quantified relevant logic
The quantified relevant logic RQ is given a new semantics in which a formula xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are mo...
Robert Goldblatt, Edwin D. Mares
CORR
2007
Springer
98views Education» more  CORR 2007»
13 years 9 months ago
Propositional theories are strongly equivalent to logic programs
In this paper we show that an arbitrary propositional theory, when interpreted under the answer sets semantics (called Equilibrium Logic for this general syntax), can always be re...
Pedro Cabalar, Paolo Ferraris