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APAL
2008
111views more  APAL 2008»
13 years 5 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
RTA
2007
Springer
13 years 11 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
CSL
2003
Springer
13 years 10 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
CSL
2001
Springer
13 years 9 months ago
Non-commutativity and MELL in the Calculus of Structures
We introduce the calculus of structures: it is more general than the sequent calculus and it allows for cut elimination and the subformula property. We show a simple extension of m...
Alessio Guglielmi, Lutz Straßburger
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