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8th Annual Symposium on Switching and Automata Theory (SWAT 1967) (1967)
Texas
Oct. 18, 1967 to Oct. 20, 1967
pp: 291-295
ABSTRACT
In this paper two closely related problems in automata theory are considered: 1) What is the time required for a network of elements, each with a limited number of inputs, to compute a finite function? 2) What is the time required for a finite automaton, realized as such a network, to compute its output function? Winograd has considered the first problem, especially for addition and group multiplication [1] and numerical multiplication [2]. By laying bare the methodology implicit in his work, we form a basis upon which we can erect a thoroughgoing analysis of multiplication in groups and semigroups and also can analyze computation of various finite functions. This paper presents the beginning of such an analysis.
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CITATION

M. A. Arbib and P. M. Spira, "Computation times for finite groups, semigroups and automata," 8th Annual Symposium on Switching and Automata Theory (SWAT 1967)(FOCS), Texas, 1967, pp. 291-295.
doi:10.1109/FOCS.1967.9
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