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α-Speedable and non α-Speedable Sets

Published online by Cambridge University Press:  20 November 2018

Barry E. Jacobs
Barry E. Jacobs*
Affiliation:
University of Maryland, College Park, Maryland
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α-Recursion theory was invented simultaneously by Kripke [15] and Platek [22] and served to generalize the theories of Takeuti [34], Machover [20], Kreisel and Sacks [14] and others. Kripke (in [16]) derived machinery to construct an analogue to Kleene's T-predicate enabling him to assert that all of unrelativized ordinary recursion theory (as found in Kleene [13]) lifted to α-recursion theory. As a result, we were able to set down in [8] α-analogues to Blum's [1] well-studied axioms, thus, introducing the study of α-computational complexity theory.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 31 , Issue 2 , 01 April 1979 , pp. 282 - 299
Copyright
Copyright © Canadian Mathematical Society 1979

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