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» Proof Complexity of Non-classical Logics
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116
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LICS
2008
IEEE
15 years 10 months 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
115
Voted
CORR
2010
Springer
141views Education» more  CORR 2010»
15 years 3 months ago
The complexity of linear-time temporal logic over the class of ordinals
We consider the temporal logic with since and until modalities. This temporal logic is expressively equivalent over the class of ordinals to first-order logic by Kamp's theore...
Stéphane Demri, Alexander Rabinovich
148
Voted
ENTCS
2006
189views more  ENTCS 2006»
15 years 3 months ago
Variables as Resource for Shared-Memory Programs: Semantics and Soundness
Parkinson, Bornat, and Calcagno recently introduced a logic for partial correctness in which program variables are treated as resource, generalizing earlier work based on separati...
Stephen D. Brookes
111
Voted
LICS
2005
IEEE
15 years 9 months ago
Proof-Theoretic Approach to Description-Logic
In recent work Baader has shown that a certain description logic with conjunction, existential quantification and with circular definitions has a polynomial time subsumption pro...
Martin Hofmann
142
Voted
ICTCS
2003
Springer
15 years 8 months ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui