Ordinal analysis of terms of finite type

Publisher: Cambridge University Press

E-ISSN: 1943-5886|45|3|493-504

ISSN: 0022-4812

Source: The Journal of Symbolic Logic, Vol.45, Iss.3, 1980-09, pp. : 493-504

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Abstract

Sanchis [Sa] and Diller [Di] have introduced an interesting relation between terms for primitive recursive functionals of finite type in order to obtain a computability proof. The method is as follows. First the relation is shown to be well-founded. Then computability of each term is obtained by transfinite induction over the relation.