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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6907))

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Abstract

We consider a halting problem for nondeterministic Turing machines and show via invariantization of listings the relationship of its complexity to

  • the existence of almost optimal algorithms for the set of propositional tautologies;

  • the existence of hard sequences for all algorithms deciding a given problem;

  • the existence of logics capturing polynomial time.

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© 2011 Springer-Verlag GmbH Berlin Heidelberg

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Flum, J. (2011). Invariantization of Listings. In: Murlak, F., Sankowski, P. (eds) Mathematical Foundations of Computer Science 2011. MFCS 2011. Lecture Notes in Computer Science, vol 6907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22993-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-22993-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22992-3

  • Online ISBN: 978-3-642-22993-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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