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Lower bounds for prepositional proofs and independence results in bounded arithmetic

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Automata, Languages and Programming (ICALP 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1099))

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Abstract

We begin with a highly informal discussion of the role played by Bounded Arithmetic and propositional proof systems in the reasoning about the world of feasible computations. Then we survey some known lower bounds on the complexity of proofs in various propositional proof systems, paying special attention to recent attempts on reducing such bounds to some purely complexity results or assumptions. As one of the main motivations for this research we discuss provability of extremely important propositional formulae that express hardness of explicit Boolean functions with respect to various non-uniform computational models.

Supported by the grant # 96-01-01222 of the Russian Foundation for Fundamental Research

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Authors and Affiliations

  1. Steklov Mathematical Institute, Vavilova 42, GSP-1, 117966, Moscow, Russia

    Alexander A. Razborov

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  1. Alexander A. Razborov
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Friedhelm Meyer Burkhard Monien

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© 1996 Springer-Verlag Berlin Heidelberg

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Razborov, A.A. (1996). Lower bounds for prepositional proofs and independence results in bounded arithmetic. In: Meyer, F., Monien, B. (eds) Automata, Languages and Programming. ICALP 1996. Lecture Notes in Computer Science, vol 1099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61440-0_116

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  • DOI: https://doi.org/10.1007/3-540-61440-0_116

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  • Print ISBN: 978-3-540-61440-1

  • Online ISBN: 978-3-540-68580-7

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