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The complexity of symmetric boolean functions

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Computation Theory and Logic

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 270))

Abstract

The class of symmetric Boolean functions contains many fundamental functions, among them all types of counting functions. Hence the efficient computation of symmetric functions is a fundamental problem in computer science. Known results on the complexity of symmetric functions in several models of computation are described and new results on the complexity of symmetric functions with respect to bounded depth circuits and parallel random access machines are presented.

Supported in part by DFG-grants No. We 1066/1–2 and Me 872/1–1

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Egon Börger

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© 1987 Springer-Verlag Berlin Heidelberg

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Wegener, I. (1987). The complexity of symmetric boolean functions. In: Börger, E. (eds) Computation Theory and Logic. Lecture Notes in Computer Science, vol 270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18170-9_185

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  • DOI: https://doi.org/10.1007/3-540-18170-9_185

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18170-5

  • Online ISBN: 978-3-540-47795-2

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