Showing papers on "Continuous automaton published in 1965"
01 Oct 1965
TL;DR: In this article, a minimal automaton is defined and its advantages are illustrated, and the notions of a primary of an automaton and of the generators of the primary are formulated.
Abstract: : A minimal automaton is defined and its advantages illustrated. The notions of a primary of an automaton and of the generators of the primary are formulated. The source of a subset of states is defined. Homomorphisms, endomorphisms, isomorphisms, and automorphisms on automata are discussed. The cycle is used to characterize and count all automorphisms of a minimal automaton. The nature, behavior, and number of the members of P(A), the set of automorphisms leaving all primaries invariant, are studied via extensions of automorphisms of one primary to another.
2 citations