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Complexity classes of provable recursive functions

โœ Scribed by Dan Gordon


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
582 KB
Volume
18
Category
Article
ISSN
0022-0000

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## Abstract It is shown that all the provably total functions of Basic Arithmetic BA, a theory introduced by Ruitenburg based on Predicate Basic Calculus, are primitive recursive. Along the proof a new kind of primitive recursive realizability to which BA is sound, is introduced. This realizability