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Nexp does not have non-uniform quasipolynomial-size ACC circuits of o(log log n) depth

Published: 23 May 2011 Publication History

Abstract

ACCm circuits are circuits consisting of unbounded fan-in AND, OR and MODm gates and unary NOT gates, where m is a fixed integer. We show that there exists a language in non-deterministic exponential time which can not be computed by any non-uniform family of ACCm circuits of quasipolynomial size and o(log log n) depth, where m is an arbitrarily chosen constant.

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  1. Nexp does not have non-uniform quasipolynomial-size ACC circuits of o(log log n) depth

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    Published In

    cover image Guide Proceedings
    TAMC'11: Proceedings of the 8th annual conference on Theory and applications of models of computation
    May 2011
    562 pages
    ISBN:9783642208768
    • Editors:
    • Mitsunori Ogihara,
    • Jun Tarui

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    Springer-Verlag

    Berlin, Heidelberg

    Publication History

    Published: 23 May 2011

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