Strong normalization of barrecursive terms without using infinite terms

Author:

Bezem Marc

Publisher

Springer Science and Business Media LLC

Subject

Logic,Philosophy

Reference7 articles.

1. Bezem, M.: Strongly majorizable functionals of finite type: a model for barrecursion containing discontinuous functionals. J. Symb. Logic50, 652–660 (1985).

2. Gödel, K.: Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes, Dialectica12, 280–287 (1958)

3. Luckhardt, H.: Extensional Gödel functional interpretation. Springer Lecture Notes in Mathematics 306, Berlin, Heidelberg, New York: 1973.

4. Spector, C.: Provably recursive functionals of analysis: a consistency proof of analysis by an extension of principles formulated in current intuitionistic mathematics. In: Dekker, J.C.E. (ed.): Proc. Symp. Pure Mathematics V. American Mathematical Society, Providence, RI (1962).

5. Tait, W.W.: Normal form theorem for barrecursive functions of finite type, in: Proceedings of the 2nd Scandinavian Logic Symposium. Amsterdam: North-Holland 1971.

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3. On the computational content of the axiom of choice;The Journal of Symbolic Logic;1998-06

4. A realization of the negative interpretation of the Axiom of Choice;Lecture Notes in Computer Science;1995

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