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» Proof Complexity of Propositional Default Logic
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LATIN
2004
Springer
13 years 11 months ago
A Proof System and a Decision Procedure for Equality Logic
Equality logic with or without uninterpreted functions is used for proving the equivalence or refinement between systems (hardware verification, compiler’s translation, etc). C...
Olga Tveretina, Hans Zantema
LICS
2008
IEEE
14 years 4 days ago
On the Asymptotic Nullstellensatz and Polynomial Calculus Proof Complexity
We show that the asymptotic complexity of uniformly generated (expressible in First-Order (FO) logic) propositional tautologies for the Nullstellensatz proof system (NS) as well a...
Søren Riis
AAAI
2008
13 years 8 months ago
A General Method for Reducing the Complexity of Relational Inference and its Application to MCMC
Many real-world problems are characterized by complex relational structure, which can be succinctly represented in firstorder logic. However, many relational inference algorithms ...
Hoifung Poon, Pedro Domingos, Marc Sumner
KI
2008
Springer
13 years 5 months ago
Shallow Models for Non-iterative Modal Logics
Abstract. Modal logics see a wide variety of applications in artificial intelligence, e.g. in reasoning about knowledge, belief, uncertainty, agency, defaults, and relevance. From ...
Lutz Schröder, Dirk Pattinson
TABLEAUX
2009
Springer
14 years 8 days 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