Istituto di Scienza e Tecnologie dell'Informazione     
Frosini G. Influence of state reduction on the number of state variables in race-free asynchronous sequential circuits. Internal note IEI-B71-05, 1971.
Generally, in synthetizing race-free asynchronous sequential circuits, state reduction and state assignment are performed in independent way. In this paper it is shown that performing state reduction the number of variables for a race-free state assignment may increase. For an important class of asynchronous flow-tables conditions are established by which the number of state variables does not increase or does not decrease when state reduction is performed.

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