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Oct. 18, 1967 to Oct. 20, 1967
pp: 233-239
In this paper we are concerned with the decomposition of synchronous sequential machines into interconnections of component machines. The term interconnection is taken literally; the input terminals of a component machine must be directly connected to either i) a logical constant, ii) an output terminal of a component machine, or iii) an external input line. A fundamental question regarding such decompositions is "Does there exist a finite set of component machines such that any given machine can be realized by an interconnection of copies of the component machines?" The answers to this and related questions comprise the scope of the paper.
P. Weiner, J. E. Hopcroft, "Modular decomposition of synchronous sequential machines", FOCS, 1967, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, 2013 IEEE 54th Annual Symposium on Foundations of Computer Science 1967, pp. 233-239, doi:10.1109/FOCS.1967.20
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