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RTA
1999
Springer
13 years 9 months ago
On the Strong Normalisation of Natural Deduction with Permutation-Conversions
We present a modular proof of the strong normalisation of intuitionistic logic with permutation-conversions. This proof is based on the notions of negative translation and CPS-simu...
Philippe de Groote
APAL
2008
78views more  APAL 2008»
13 years 5 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
APAL
2010
66views more  APAL 2010»
13 years 5 months ago
Strong normalization results by translation
We prove the strong normalization of full classical natural deduction (i.e. with conjunction, disjunction and permutative conversions) by using a translation into the simply typed...
René David, Karim Nour
CIE
2007
Springer
13 years 11 months ago
Refocusing Generalised Normalisation
Abstract. When defined with general elimination/application rules, natural deduction and λ-calculus become closer to sequent calculus. In order to get real isomorphism, normalisa...
José Espírito Santo
TLCA
2001
Springer
13 years 9 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote