Super-logarithmic depth lower bounds via the direct sum in communication complexity

Mauricio Karchmer*, Ran Raz, Avi Wigderson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

85 Scopus citations

Abstract

Is it easier to solve two communication problems together than separately? This question is related to the complexity of the composition of boolean functions. Based on this relationship, an approach to separating NC1 from P is outlined. Furthermore, it is shown that the approach provides a new proof of the separation of monotone NC1 from monotone P.

Original languageEnglish
Pages (from-to)191-204
Number of pages14
JournalComputational Complexity
Volume5
Issue number3-4
DOIs
StatePublished - Sep 1995

Keywords

  • circuit
  • complexity
  • direct-sum
  • Lower-bound
  • Subject classifications: 68Q15, 68Q25

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