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Nondeterministic Instance Complexity and Proof Systems with Advice

Beyersdorff, O, Koebler, J and Mueller, S (2009) Nondeterministic Instance Complexity and Proof Systems with Advice. In: Dediu, AH, Ionescu, AM and Martin-Vide, C, (eds.) Language and Automata Theory and Applications. Third International Conference, LATA 2009, 2-8 April 2009, Tarragona, Spain. Lecture Notes in Computer Science, 5457 . Springer Verlag , 164 - 175 . ISBN 978-3-642-00981-5

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Abstract

Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Krajíček [1] have recently introduced the notion of propositional proof systems with advice. In this paper we investigate the following question: Given a language L , do there exist polynomially bounded proof systems with advice for L ? Depending on the complexity of the underlying language L and the amount and type of the advice used by the proof system, we obtain different characterizations for this problem. In particular, we show that the above question is tightly linked with the question whether L has small nondeterministic instance complexity.

Item Type: Proceedings Paper
Copyright, Publisher and Additional Information: © 2009, Springer Verlag. This is an author produced version of a paper published in Language and Automata Theory and Applications. Uploaded in accordance with the publisher's self-archiving policy. The original publication is available at www.springerlink.com
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science
Depositing User: Symplectic Publications
Date Deposited: 10 Dec 2012 10:48
Last Modified: 06 Jun 2014 09:29
Published Version: http://dx.doi.org/10.1007/978-3-642-00982-2_14
Status: Published
Publisher: Springer Verlag
Identification Number: 10.1007/978-3-642-00982-2_14
URI: http://eprints.whiterose.ac.uk/id/eprint/74796

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