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J. Krivine (1990)
Lambda-calcul : types et modèles
(1990)
Krivine Opérateurs de mise en mémoire et traduction de Gödel Archiv for Mathematical Logic 30
alors pour tout n ≥ 0, il existe un λ-terme τ n ≃ β n, tel que pour tout entier classique normal θ de valeur n, il existe une substitution σ
(s) r j 0 et leséléments de S ′ sont de la forme (s) r 0
M. Parigot (1993)
Strong normalization for second order classical natural deduction[1993] Proceedings Eighth Annual IEEE Symposium on Logic in Computer Science
K. Nour (1993)
Operateurs de mise en memoire en lambda-calcul pur et type
(1993)
M. Parigot Strong normalization for second order classical natural deduction Proceedings of the eighth annual IEEE symposium on logic in computer science
On vérifie que : References
Conclusion Pour trouver la valeur d'un entier classique normal θ, on réduit ((T i )θ)λxx
(1990)
types et mod`eles Masson, Paris
(1993)
Proceedings of the third Kurt Gödel colloquium -KGC'93
M. Parigot (1993)
Classical Proofs as Programs
Si θ est un entier classique normal de valeur n, alors ((T i )θ)f ≻ (f )(s) n 0
(1992)
λµ -calculus : an algorithm interpretation of classical natural deduction A
In this paper, we present three methods to give the value of a classical integer in $\lambda\mu$ -calculus. The first method is an external method and gives the value and the false part of a normal classical integer. The second method uses a new reduction rule and gives as result the corresponding Church integer. The third method is the M. Parigot's method which uses the J.L. Krivine's storage operators.
Archive for Mathematical Logic – Springer Journals
Published: Oct 1, 1997
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