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» On the Meaning of Logical Completeness
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TCS
2008
13 years 11 months ago
Density elimination
Density elimination, a close relative of cut elimination, consists of removing applications of the Takeuti-Titani density rule from derivations in Gentzen-style (hypersequent) cal...
Agata Ciabattoni, George Metcalfe
ECAI
1998
Springer
14 years 3 months ago
The Complexity of Model Checking for Propositional Default Logics
Abstract. Default logic is one of the most widely used formalisms to formalize commonsense reasoning. In this paper we analyze the complexity of deciding whether a propositional in...
Paolo Liberatore, Marco Schaerf
ISMVL
1993
IEEE
140views Hardware» more  ISMVL 1993»
14 years 3 months ago
Systematic Construction of Natural Deduction Systems for Many-Valued Logics
A construction principle for natural deduction systems for arbitrary finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent...
Matthias Baaz, Christian G. Fermüller, Richar...
TABLEAUX
2009
Springer
14 years 5 months ago
Modular Sequent Systems for Modal Logic
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Kai Brünnler, Lutz Straßburger
ICLP
2003
Springer
14 years 4 months ago
Loop Formulas for Disjunctive Logic Programs
Abstract. We extend Clark’s definition of a completed program and the definition of a loop formula due to Lin and Zhao to disjunctive logic programs. Our main result, generaliz...
Joohyung Lee, Vladimir Lifschitz