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Titlebook: Universal Theory of Automata; A Categorical Approa H. Ehrig,K.-D. Kiermeier,W. Kühnel Textbook 1974 Springer Fachmedien Wiesbaden 1974 Alge

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Behavior of Automata in Pseudoclosed Categories: The Nondeterministic Case, nondeterministic automata to automata in pseudoclosed categories. The construction of the extended output morphism l.:S⊗I. → 0 is exactly the same as before but unfortunately, the category (.,x) for example is not closed such that we do not get the machine morphism M(A) as an adjoint morphism of l. in . (cf. (4.3.3)).
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Some Problems in Automata Theory,ategories of deterministic type (cf. 1.12). For a categorical theory of decomposition and synthesis of automata we refer the reader to [18]. Unless otherwise specified automata are always deterministic in this chapter.
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Reduction and Minimization of Automata in Closed Categories, in closed categories. Especially we now get all the results concerning reduction, minimization and realization,which were sketched for the deterministic case in chapter 2, now for automata in arbitrary closed categories satisfying the general assumptions in 4.1. For examples we refer to the list in 4.9.
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