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LICS
2008
IEEE
14 years 1 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
14 years 7 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
13 years 8 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...
TARK
1998
Springer
13 years 11 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
14 years 1 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