Lower Bounds on Formula Size of Boolean Functions Using Hypergraph Entropy

  • Authors:
  • Ilan Newman;Avi Wigderson

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 1995

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Abstract

Korner defined the notion of graph entropy. He used it to simplify the proof of the Fredman--Komlos lower bound for the family size of perfect hash functions. We use this information-theoretic notion to obtain a general method for formula size lower bounds. This method can be applied to low-complexity functions for which the other known general methods do not apply.