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2007
Springer
13 years 10 months ago
Intuitionistic vs. Classical Tautologies, Quantitative Comparison
We consider propositional formulas built on implication. The size of a formula is the number of occurrences of variables in it. We assume that two formulas which differ only in th...
Antoine Genitrini, Jakub Kozik, Marek Zaionc
APAL
2007
71views more  APAL 2007»
13 years 4 months ago
A lower bound for intuitionistic logic
We give an exponential lower bound on number of proof-lines in intuitionistic propositional logic, IL, axiomatised in the usual Frege-style fashion; i.e., we give an example of IL...
Pavel Hrubes
APAL
2006
107views more  APAL 2006»
13 years 4 months ago
Frege systems for extensible modal logics
By a well-known result of Cook and Reckhow [4, 12], all Frege systems for the Classical Propositional Calculus (CPC) are polynomially equivalent. Mints and Kojevnikov [11] have re...
Emil Jerábek
AIIA
2005
Springer
13 years 10 months ago
Handling Continuous-Valued Attributes in Incremental First-Order Rules Learning
Machine Learning systems are often distinguished according to the kind of representation they use, which can be either propositional or first-order logic. The framework working wi...
Teresa Maria Altomare Basile, Floriana Esposito, N...
JASIS
2000
120views more  JASIS 2000»
13 years 4 months ago
Probabilistic datalog: Implementing logical information retrieval for advanced applications
In the logical approach to information retrieval (IR), retrieval is considered as uncertain inference. Whereas classical IR models are based on propositional logic, we combine Dat...
Norbert Fuhr