Accession Number : AD0696208

Title :   A LEAST UPPER BOUND ON THE FEEDBACK INDEGREE FOR HOMOMORPHIC REALIZATION OF SEQUENTIAL MACHINES.

Descriptive Note : Technical rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR DEPT OF COMPUTER AND COMMUNICATION SCIENCES

Personal Author(s) : Zeigler, Bernard Phillip

Report Date : OCT 1969

Pagination or Media Count : 15

Abstract : It is known that for every integer d, there are transition functions not isomorphically realizable by any net having feedback indegree (the largest number of wires that any delay receives from other delays in its feedback loop) less than d. It is shown that, in contrast to the isomorphic case, every transition function can be homomorphically realized by nets of feedback indegree not exceeding 2. This is a least upper bound, since simple nets (i.e., those having feedback indegrees not exceeding 1) are shown not to be universal in this sense. (Author)

Descriptors :   (*SWITCHING CIRCUITS, COMPUTER LOGIC), (*LOGIC CIRCUITS, DESIGN), DELAY LINES, GROUPS(MATHEMATICS), SEQUENCES(MATHEMATICS), THEOREMS, FEEDBACK, AUTOMATA.

Subject Categories : Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE