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6th Annual Symposium on Switching Circuit Theory and Logical Design (SWCT 1965)
Cascade synthesis of finite-state machines
Ann Arbor, MI
October 06-October 08
One can construct any finite-state machine as a cascade interconnection of machines whose inputs either permute the states or reset them all to one state. Each permutation group needed in the construction is a homomorphic image of a group generated by the action of a set of input sequences on a state subset of the original machine. Proofs of these facts will be given and their application to the Rhodes-Krohn theory described.
Citation:
H. P. Zeiger, "Cascade synthesis of finite-state machines," focs, pp.45-51, 6th Annual Symposium on Switching Circuit Theory and Logical Design (SWCT 1965), 1965
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