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On the power of uniform families of constant depth threshold circuits

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Mathematical Foundations of Computer Science 1990 (MFCS 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 452))

Abstract

We prove that every set in uniform-AC0 can be recognized by a uniform family of depth-three threshold circuits of size \(n^{log^{O(1)} n}\).

Supported in part by National Science Foundation Grants CCR-8810467 and CCR-9000045. Some of this research was performed while the author was a visiting professor at Institut für Informatik, Universität Würzburg, D-8700 Würzburg, Federal Republic of Germany

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Branislav Rovan

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© 1990 Springer-Verlag Berlin Heidelberg

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Allender, E., Hertrampf, U. (1990). On the power of uniform families of constant depth threshold circuits. In: Rovan, B. (eds) Mathematical Foundations of Computer Science 1990. MFCS 1990. Lecture Notes in Computer Science, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029603

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  • DOI: https://doi.org/10.1007/BFb0029603

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52953-8

  • Online ISBN: 978-3-540-47185-1

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