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» Elimination of Negation in a Logical Framework
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LICS
1995
IEEE
13 years 8 months ago
Structural Cut Elimination
We present new proofs of cut elimination for intuitionistic, classical, and linear sequent calculi. In all cases the proofs proceed by three nested structural inductions, avoiding...
Frank Pfenning
ICLP
2005
Springer
13 years 10 months ago
Hybrid Probabilistic Logic Programs with Non-monotonic Negation
1 In [20], a new Hybrid Probabilistic Logic Programs framework is proposed, and a new semantics is developed to enable encoding and reasoning about real-world applications. In this...
Emad Saad, Enrico Pontelli
TABLEAUX
2009
Springer
13 years 11 months ago
Generic Modal Cut Elimination Applied to Conditional Logics
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the ...
Dirk Pattinson, Lutz Schröder
ECAI
2010
Springer
13 years 6 months ago
Optimal Tableaux for Conditional Logics with Cautious Monotonicity
Conditional logics capture default entailment in a modal framework in which non-monotonic implication is a first-class citizen, and in particular can be negated and nested. There i...
Lutz Schröder, Dirk Pattinson, Daniel Hausman...
LPNMR
2009
Springer
13 years 12 months ago
Casting Away Disjunction and Negation under a Generalisation of Strong Equivalence with Projection
Abstract. In answer-set programming (ASP), many notions of program equivalence have been introduced and formally analysed. A particular line of research in this direction aims at s...
Jörg Pührer, Hans Tompits