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The Necessity of Closed Circuit Loops in Minimal Combinational Circuits
February 1970 (vol. 19 no. 2)
pp. 162-164
ASCII Text
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W.H. Kautz, "The Necessity of Closed Circuit Loops in Minimal Combinational Circuits," IEEE Transactions on Computers, vol. 19, no. 2, pp. 162-164, February, 1970.
 
 
BibTex
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@article{ 10.1109/T-C.1970.222884,
author = {W.H. Kautz},
title = {The Necessity of Closed Circuit Loops in Minimal Combinational Circuits},
journal ={IEEE Transactions on Computers},
volume = {19},
number = {2},
issn = {0018-9340},
year = {1970},
pages = {162-164},
doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1970.222884},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - The Necessity of Closed Circuit Loops in Minimal Combinational Circuits
IS - 2
SN - 0018-9340
SP162
EP164
EPD - 162-164
A1 - W.H. Kautz,
PY - 1970
KW - Cellular logic
KW - closed loops
KW - combinational networks
KW - switching theory.
VL - 19
JA - IEEE Transactions on Computers
ER -
 
A cellular-logic approach is used to generate a family of multiple-output combinational switching circuits containing closed loops ( of the type that normally generate sequential behavior) and composed of simple gates. These networks contain fewer gates than any loop-free realizations. Some members of the family are oscillatory, while others are stable with multiple stable states, but the outputs remain quiescent in both cases. This result appears to have repercussions on some of the well-known optimality results of switching theory.
Index Terms:
Cellular logic, closed loops, combinational networks, switching theory.
Citation:
W.H. Kautz, "The Necessity of Closed Circuit Loops in Minimal Combinational Circuits," IEEE Transactions on Computers, vol. 19, no. 2, pp. 162-164, Feb. 1970, doi:10.1109/T-C.1970.222884
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