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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An $n\log n$ lower bound on synchronous combinational complexity
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by L. H. Harper PDF
Proc. Amer. Math. Soc. 64 (1977), 300-306 Request permission

Abstract:

Synchronous combinational machines are combinational machines such that the length of all paths from inputs to a logic element are the same. In this paper is is shown that any Boolean function of n variables satisfying certain subfunction conditions (which are satisfied by “almost all” such functions) must have synchronous combinational complexity at least $n\log n$.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 64 (1977), 300-306
  • MSC: Primary 94A20; Secondary 68A20
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0456962-7
  • MathSciNet review: 0456962