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    Sound 3-query PCPPs are long

    Ben-Sasson, E. and Harsha, P. and Lachish, Oded and Matsliah, A. (2008) Sound 3-query PCPPs are long. In: Aceto, L. and Damgård, I. and Goldberg, L.A. and Halldórsson, M.M. and Ingólfsdóttir, A. and Walukiewicz, I. (eds.) Automata, Languages and Programming. Lecture Notes in Computer Science 5125. Berlin, Germany: Springer Verlag, pp. 686-697. ISBN 9783540705758.

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    We initiate the study of the tradeoff between the length of a probabilistically checkable proof of proximity (PCPP) and the maximal soundness that can be guaranteed by a 3-query verifier with oracle access to the proof. Our main observation is that a verifier limited to querying a short proof cannot obtain the same soundness as that obtained by a verifier querying a long proof. Moreover, we quantify the soundness deficiency as a function of the proof-length and show that any verifier obtaining “best possible” soundness must query an exponentially long proof.


    Item Type: Book Section
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 30 May 2013 16:14
    Last Modified: 09 Aug 2023 12:33


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