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The Ackermann functions are not optimal, but by how much?

Published online by Cambridge University Press:  12 March 2014

H. Simmons
H. Simmons*
Affiliation:
School of Mathematics, The University, Manchester M13 9PL, England, E-mail: hsimmons@manchester.ac.uk
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Abstract

By taking a closer look at the construction of an Ackermann function we see that between any primitive recursive degree and its Ackermann modification there is a dense chain of primitive recursive degrees.

Keywords

Primitive recursive degreeAckermann jump
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 289 - 313
Copyright
Copyright © Association for Symbolic Logic 2010

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References

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