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Abstract?This paper considers the problem of obtaining realizations of synchronous finite automata from their regular expression specifications. A polylinear sequential circuit realization is defined, and it is proven that every synchronous finite automaton has such a realization. A method is developed for the derivation of a polylinear sequential circuit realization of any automaton specified by a regular expression. The method uses a derivative approach and is applied to the reverse of the given regular expression. As a by-product of developing the method, a connection between the state assigmnent problem and regular expressions is established. Another by-product is a simple method for obtaining polylinear sequential circuit realizations of automata specified by flow tables instead of regular expressions.
Index terms?Connection between the state assignment problem and regular expressions, derivative approach, method for obtaining polylinear sequential circuit realizations, regular expression specifications, synchronous finite automata.

H. Curtis, "Polylinear Sequential Circuit Realizations of Finite Automata," in IEEE Transactions on Computers, vol. 17, no. , pp. 251-259, 1968.
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