A Local Selection Algorithm for Switching Function Minimization

  • Authors:
  • Giuseppe Caruso

  • Affiliations:
  • Istituto di Elettrotecnica ed Elettronica, Università di Palermo, Palermo, Italy.

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1984

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Abstract

The minimization algorithms which do not require any preliminary generation of all the prime implicants (PI's) of a function are the most efficient. In this work a new algorithm is described which follows such an approach. It is based on a local selection of PI's carried out by examining a set of vertices whose number is never greater than the number of PI's of a minimum cost cover. This algorithm takes advantage of a technique which uses numerical equivalents of the function vertices as pointers. For this reason it is well suited for implementation by computer. To illustrate the features of this algorithm a few examples are reported.