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RTA
2007
Springer
13 years 10 months ago
A Simple Proof That Super-Consistency Implies Cut Elimination
Abstract. We give a simple and direct proof that super-consistency implies cut elimination in deduction modulo. This proof can be seen as a simplification of the proof that super-...
Gilles Dowek, Olivier Hermant
APAL
2008
111views more  APAL 2008»
13 years 4 months ago
Cut elimination for a simple formulation of epsilon calculus
A simple cut elimination proof for arithmetic with epsilon symbol is used to establish termination of a modified epsilon substitution process. This opens a possibility of extensio...
Grigori Mints
CSL
2003
Springer
13 years 9 months ago
Atomic Cut Elimination for classical Logic
System SKS is a set of rules for classical propositional logic presented in the calculus of structures. Like sequent systems and unlike natural deduction systems, it has an explici...
Kai Brünnler
WOLLIC
2009
Springer
13 years 11 months ago
Forcing-Based Cut-Elimination for Gentzen-Style Intuitionistic Sequent Calculus
We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
Hugo Herbelin, Gyesik Lee
TYPES
1998
Springer
13 years 8 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner