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Behavior of Automata in Pseudoclosed Categories: The Nondeterministic Case

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Universal Theory of Automata

Part of the book series: Teubner Studienbücher Informatik ((XTSBI))

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Abstract

In the chapters 4 and 5 we have studied automata in closed categories, basing on the example of deterministic automata. Now we are going to generalize 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 (ND,x) for example is not closed such that we do not get the machine morphism M(A) as an adjoint morphism of l+ in ND (cf. (4.3.3)).

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© 1974 B. G. Teubner, Stuttgart

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Ehrig, H., Kiermeier, KD., Kreowski, HJ., Kühnel, W. (1974). Behavior of Automata in Pseudoclosed Categories: The Nondeterministic Case. In: Universal Theory of Automata. Teubner Studienbücher Informatik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-96644-5_7

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  • DOI: https://doi.org/10.1007/978-3-322-96644-5_7

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-02054-7

  • Online ISBN: 978-3-322-96644-5

  • eBook Packages: Springer Book Archive

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