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JSYML
2011
84views more  JSYML 2011»
13 years 2 months ago
On the non-confluence of cut-elimination
Abstract. Westudy cut-elimination in first-orderclassical logic. Weconstructa sequenceofpolynomiallength proofs having a non-elementary number of different cut-free normal forms....
Matthias Baaz, Stefan Hetzl
TLCA
1999
Springer
13 years 11 months ago
Strong Normalisation of Cut-Elimination in Classical Logic
In this paper we present a strongly normalising cut-elimination procedure for classical logic. This procedure adapts Gentzen’s standard cut-reductions, but is less restrictive th...
Christian Urban, Gavin M. Bierman
ISMVL
1999
IEEE
90views Hardware» more  ISMVL 1999»
13 years 12 months ago
Transformations between Signed and Classical Clause Logic
In the last years two automated reasoning techniques for clause normal form arose in which the use of labels are prominently featured: signed logic and annotated logic programming...
Bernhard Beckert, Reiner Hähnle, Felip Many&a...
FROCOS
2000
Springer
13 years 11 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
SAC
2010
ACM
13 years 5 months ago
A machine-checked soundness proof for an efficient verification condition generator
Verification conditions (VCs) are logical formulae whose validity implies the correctness of a program with respect to a specification. The technique of checking software properti...
Frédéric Vogels, Bart Jacobs 0002, F...