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Some restrictions on simple fixed points of the integers

Published online by Cambridge University Press:  12 March 2014

G. L. McColm
G. L. McColm*
Affiliation:
Department of Mathematics, University of South Florida, Tampa, Florida 33620
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Abstract

A function is recursive (in given operations) if its values are computed explicitly and uniformly in terms of other “previously computed” values of itself and (perhaps) other “simultaneously computed” recursive functions. Here, “explicitly” includes definition by cases.

We investigate those recursive functions on the structure N = 〈ω, 0, succ, pred〉 that are computed in terms of themselves only, without other simultaneously computed recursive functions.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 54 , Issue 4 , December 1989 , pp. 1324 - 1345
Copyright
Copyright © Association for Symbolic Logic 1989

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References

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