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Interactive proof systems and alternating time-space complexity

  • Interactive Proof Systems
  • Conference paper
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STACS 91 (STACS 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 480))

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Abstract

We show a rough equivalence between alternating time-space complexity and a public-coin interactive proof system with the verifier having a polynomial related time-space complexity. Special cases include

  • All of NC has interactive proofs with a log-space polynomial-time public-coin verifier vastly improving the best previous lower bound of LOGCFL for this model [8].

  • All languages in P have interactive proofs with a polynomial-time public-coin verifier using o(log2 n) space.

  • All exponential-time languages have interactive proof systems with public-coin polynomial-space exponential-time verifiers.

Supported by NSF Grant CCR-9009936

Supported by a fellowship from the University of Århus.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science, University of Chicago, USA

    Lance Fortnow & Carsten Lund

Authors
  1. Lance Fortnow
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  2. Carsten Lund
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Editor information

Christian Choffrut Matthias Jantzen

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© 1991 Springer-Verlag Berlin Heidelberg

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Fortnow, L., Lund, C. (1991). Interactive proof systems and alternating time-space complexity. In: Choffrut, C., Jantzen, M. (eds) STACS 91. STACS 1991. Lecture Notes in Computer Science, vol 480. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020804

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  • DOI: https://doi.org/10.1007/BFb0020804

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53709-0

  • Online ISBN: 978-3-540-47002-1

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