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» Substitutions into propositional tautologies
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CSL
2000
Springer
13 years 9 months ago
Disjunctive Tautologies as Synchronisation Schemes
In the ambient logic of classical second order propositional calculus, we solve the specification problem for a family of excluded middle like tautologies. These are shown to be r...
Vincent Danos, Jean-Louis Krivine
TYPES
2007
Springer
13 years 11 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
2008
84views more  APAL 2008»
13 years 5 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
ECCC
2010
72views more  ECCC 2010»
13 years 3 months ago
Paris-Harrington tautologies
We initiate the study of the proof complexity of propositional encoding of (weak cases of) concrete independence results. In particular we study the proof complexity of Paris-Harr...
Lorenzo Carlucci, Nicola Galesi, Massimo Lauria
CSL
2004
Springer
13 years 10 months ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley