A Novel Method for the Realization of Complex Logic Functions using Switching Lattices

• Published in: 2020 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 1 - 5
• Main Authors: Aksoy, Levent, Altun, Mustafa
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.10.2020
• Subjects: Complexity theory; Lattices; Logic functions; Search problems; Switches; Upper bound
• ISBN: 9781728133201; 1728133203
• ISSN: 2158-1525; 2158-1525
• DOI: 10.1109/ISCAS45731.2020.9180673

Over the years, efficient algorithms have been proposed to realize logic functions on two-dimensional arrays of four-terminal switches, called switching lattices, using the fewest number of switches. Although existing algorithms can easily find a solution on logic functions with a small number of inputs and products, they can hardly handle large size instances. In order to cope with such logic functions, in this paper, we introduce SISYPHUS that exploits Boolean decomposition techniques and incorporates a state-of-art algorithm designed for the realization of logic functions using switching lattices. Experimental results indicate that SISYPHUS can find competitive solutions on logic functions with a small number of inputs and products when compared to those of previously proposed algorithms. Moreover, its solutions on large size functions are obtained using a little computational effort and are significantly better than the best solutions found so far.