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Efficient Rational Proofs for Space Bounded Computations

  • 2017
  • OriginalPaper
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Abstract

We present new protocols for the verification of space bounded polytime computations against a rational adversary. For such computations requiring sublinear space our protocol requires only a verifier running in sublinear-time. We extend our main result in several directions: (i) we present protocols for randomized complexity classes, using a new composition theorem for rational proofs which is of independent interest; (ii) we present lower bounds (i.e. conditional impossibility results) for Rational Proofs for various complexity classes.
Our new protocol is the first rational proof not based on the circuit model of computation, and the first sequentially composable protocols for a well-defined language class.

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Title
Efficient Rational Proofs for Space Bounded Computations
Authors
Matteo Campanelli
Rosario Gennaro
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-68711-7_4
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