Multiple-Valued Programmable Logic Array Minimization by Simulated Annealing

Abstract

We propose a solution to the minimization problem of multiple-valued programmable logic arrays (PLA) that uses simulated annealing. The algorithm accepts a sum-of-products expression, divides and recombines the product terms, gradually progressing toward a minimal solution. The input expression can be user-specified or one produced by another heuristic. The process is termed simulated annealing because it has an analog in the statistical mechanical model of annealing in solids. That is, the slow cooling of certain solids results in a state of low energy, a crystalline state rather than an amorphous state that results from fast cooling. In a PLA, the crystalline state is analogous to a realization with a small number of product terms. Unlike recently studied minimization techniques (which are classified as direct cover methods), our technique manipulates product terms directly, breaking them up and joining them in different was while reducing the total number of product terms. Computer- aided design tool, multiple-valued logic, programmable logic array, heuristic minimization technique VLSI design tool.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 10, 1992
Accession Number
ADA248620

Entities

People

  • Gerhard W. Dueck
  • Jon T. Butler
  • Parthasarathy Tirumalai
  • Robert C. Earle

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Annealing
  • Buildings And Structures
  • Coefficients
  • Computational Complexity
  • Computations
  • Computer-Aided Design
  • Computers
  • Engineering
  • High Temperature
  • Logic
  • Markov Chains
  • Military Research
  • Probability
  • Quenching
  • Statistical Mechanics
  • Transitions

Readers

  • Computer Programming and Software Development.
  • Materials Science and Engineering.
  • Operations Research