STUDY OF MODULAR SYNTHESIS OF SEQUENTIAL MACHINES.

Abstract

The problem of synthesizing sequential machines with modules with a single input is considered. It is shown that there is a one-to-one correspondence between modules and certain partitions of the set of states of the machine. These partitions are called modular partitions and it is shown that the modular partitions of a given machine are related to a structure of the machine induced from the null partition. Necessary conditions for the existence of modular partitions of various types and bounds on the number of modular partitions for a given machine are derived. These results aid the designer in the synthesis of a given machine and provide basic results for further studies of modular synthesis. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0658867

Entities

People

  • Andrew J. Nichols Iii

Organizations

  • Lockheed Martin Missiles and Space

Tags

Readers

  • Mathematical Modeling and Probability Theory.