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On the computational complexity of cut-reduction

Klaus Aehlig, Arnold Beckmann Orcid Logo

Annals of Pure and Applied Logic, Volume: 161, Issue: 6, Pages: 711 - 736

Swansea University Author: Arnold Beckmann Orcid Logo

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Abstract

Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations, and explicit bounds can be given. Developing a suitable notation system for Bounded Arithmetic, and applying these bounds, all the known results on definable functions of certain such theo...

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Published in: Annals of Pure and Applied Logic
ISSN: 0168-0072
Published: Elsevier 2009
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa161
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Abstract: Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations, and explicit bounds can be given. Developing a suitable notation system for Bounded Arithmetic, and applying these bounds, all the known results on definable functions of certain such theories can be reobtained in a uniform way.
College: Faculty of Science and Engineering
Issue: 6
Start Page: 711
End Page: 736