A Characterization of Machine Mappings
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 381-388

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A generalized sequential machine (abbreviated gsm) is a 6-tuple (K, ∑, Δ, δ, λ, p1), where K, ∑, Δ are finite non-empty sets (of “states,” “inputs,” and “outputs” respectively), δ (the “next state” function) is a mapping of K X ∑ into K, λ (the “output” function) is a mapping of K X ∑ into Δ*, and p1 (the “start“ state) is a distinguished element of K.
Ginsburg, Seymour; Rose, Gene F. A Characterization of Machine Mappings. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 381-388. doi: 10.4153/CJM-1966-040-3
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