, Volume 8, Issue 1, pp 141–142 | Cite as

The gap between monotone and non-monotone circuit complexity is exponential

  • É. Tardos


A. A. Razborov has shown that there exists a polynomial time computable monotone Boolean function whose monotone circuit complexity is at leastnc losn. We observe that this lower bound can be improved to exp(cn1/6−o(1)). The proof is immediate by combining the Alon—Boppana version of another argument of Razborov with results of Grötschel—Lovász—Schrijver on the Lovász — capacity, ϑ of a graph.

AMS subject classification

68 C 25 


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Copyright information

© Akadémiai Kiadó 1988

Authors and Affiliations

  • É. Tardos
    • 1
  1. 1.Comp. Sci. Dept.Eötvös UniversityBudapestHungary

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