• DocumentCode
    1637861
  • Title

    Minimization of Boolean relations

  • Author

    Brayton, R.K. ; Somenzi, F.

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
  • fYear
    1989
  • Firstpage
    738
  • Abstract
    The authors present a Quine-McCluskey-like method for the minimization of Boolean relations. They develop the notion of prime implications for Boolean relations and give a procedure for generating all primes. Using these primes, the minimization problem is formulated as a linear integer (0-1) program with a special structure. The authors show that this can be solved as a binate covering problem. The notions of essential and of row and column dominance are presented as bounding techniques for solving this covering problem using a branch-and-bound method
  • Keywords
    Boolean algebra; minimisation of switching nets; Boolean relations minimization; Quine-McCluskey-like method; all primes generation procedure; binate covering problem; bounding techniques; branch-and-bound method; column dominance; covering problem; essential dominance; linear integer program; prime implications; row dominance; special structure; Boolean functions; Casting; Contracts; Feeds; Linear programming; Logic functions; Minimization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., IEEE International Symposium on
  • Conference_Location
    Portland, OR
  • Type

    conf

  • DOI
    10.1109/ISCAS.1989.100457
  • Filename
    100457