Subquadratic Simulations of Balanced Formulae by Branching Programs

  • Authors:
  • Jin-Yi Cai;Richard J. Lipton

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1994

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Abstract

This paper considers Boolean formulae and their simulations by bounded width branching programs. It is shown that every balanced Boolean formula of size $s$ can be simulated by a constant width (width 5) branching program of length $s^{1.811\ldots}$. A lower bound for the translational cost from formulae to permutation branching programs is also presented.