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APAL
2010
129views more  APAL 2010»
13 years 9 months ago
Kripke models for classical logic
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the meaning of the new notion and its a...
Danko Ilik, Gyesik Lee, Hugo Herbelin
TABLEAUX
2009
Springer
14 years 3 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 2 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
LICS
1990
IEEE
14 years 1 months ago
The Dynamic Logic of Permission
Reasoning about permissions and obligations sometimes requires to distinguish more than one level of permission: certain actions are preferable to others, or one has more confiden...
Ron van der Meyden
TPHOL
2009
IEEE
14 years 3 months ago
Extended First-Order Logic
ion and equality to base types but retains lambda abstractions and higher-order variables. We show that this fragment enjoys the characteristic properties of first-order logic: co...
Chad E. Brown, Gert Smolka