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RTA
1999
Springer
14 years 2 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 10 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 10 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
14 years 4 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
14 years 2 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