Sciweavers

351 search results - page 6 / 71
» Classical proof forestry
Sort
View
CORR
2011
Springer
153views Education» more  CORR 2011»
13 years 2 months ago
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a...
Robert Rothenberg
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 2 months ago
Termination Proofs in the Dependency Pair Framework May Induce Multiple Recursive Derivational Complexity
We study the complexity of rewrite systems shown terminating via the dependency pair framework using processors for reduction pairs, dependency graphs, or the subterm criterion. T...
Georg Moser, Andreas Schnabl
CSL
2009
Springer
14 years 2 months ago
Focalisation and Classical Realisability
We develop a polarised variant of Curien and Herbelin’s ¯λµ˜µ calculus suitable for sequent calculi that admit a focalising cut elimination (i.e. whose proofs are focalised ...
Guillaume Munch-Maccagnoni
APAL
2010
129views more  APAL 2010»
13 years 7 months ago
Kripke models for classical logic
We introduce a notion of Kripke model for classical logic for which we constructively prove soundness and cut-free completeness. We discuss the meaning of the new notion and its a...
Danko Ilik, Gyesik Lee, Hugo Herbelin
APAL
2008
78views more  APAL 2008»
13 years 7 months ago
Strong normalization of classical natural deduction with disjunctions
This paper proves strong normalization of classical natural deduction with disjunction and permutative conversions, by using CPS-translation and augmentations. By them, this paper...
Koji Nakazawa, Makoto Tatsuta