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LICS
2008
IEEE
15 years 4 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
CADE
2005
Springer
15 years 10 months ago
Temporal Logics over Transitive States
Abstract. We investigate the computational behaviour of `two-dimensional' propositional temporal logics over (N, <) (with and without the next-time operator ?) that are cap...
Boris Konev, Frank Wolter, Michael Zakharyaschev
ECAI
2010
Springer
14 years 10 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...
72
Voted
TARK
1998
Springer
15 years 1 months ago
A Modal Logic of Information Change
We study the dynamics of information change, using modal logic as a vehicle. Our semantic perspective is that of a supermodel in which a state represents some agent's informa...
Joeri Engelfriet, Yde Venema
LPNMR
2009
Springer
15 years 4 months ago
A Deductive System for FO(ID) Based on Least Fixpoint Logic
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
Ping Hou, Marc Denecker