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A Note on Universal Measures for Weak Implicit Computational Complexity

Arnold BeckmannContact Information

(3)  Institute of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstr. 8-10/118, A-1040 Vienna, Austria
Abstract
This note is a case study for finding universal measures for weak implicit computational complexity. We will instantiate “universal measures” by “dynamic ordinals”, and “weak implicit computational complexity” by “bounded arithmetic”. Concretely, we will describe the connection between dynamic ordinals and witness oracle Turing machines for bounded arithmetic theories.

Keywords  Bounded arithmetic - Dynamic ordinals - Witness oracle Turing machines - Weak implicit computational complexity

Supported by a Marie Curie Individual Fellowship #HPMF-CT-2000-00803 from the European Commission.

Contact Information Arnold Beckmann
Email: Arnold.Beckmann@logic.at
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