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Polynomial time operations in explicit mathematics

Published online by Cambridge University Press:  12 March 2014

Thomas Strahm
Thomas Strahm*
Affiliation:
Institut für Informatik und Angewandte Mathematik, Universität Bern, Neubrückstrasse 10, CH-3012 Bern, Switzerland, E-mail: strahm@iam.unibe.ch
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Abstract

In this paper we study (self-)applicative theories of operations and binary words in the context of polynomial time computability. We propose a first order theory PTO which allows full self-application and whose provably total functions on = {0, 1}* are exactly the polynomial time computable functions. Our treatment of PTO is proof-theoretic and very much in the spirit of reductive proof theory.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 2 , June 1997 , pp. 575 - 594
Copyright
Copyright © Association for Symbolic Logic 1997

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