Representation of Automaton Mappings in Finite Length.
Synchronizing automata, algorithms, Cerny conjecture
Infinite Products. Springer Book Archives Fakta. Ta kontakt med Kundesenteret. Avbryt Send e-post. In the theory of automata this observation has led to the concepts of pro ducts and complete systems of automata. Les mer. Om boka Products of Automata Both theoretical and practical considerations motivate the repre sentation of objects as certain compositions of simpler ones.
In the general form of the products of automata all the component automata are fed back to one another. With this very broad notion of products, the realization of automata with large numbers of states by means of compositions of basic components is a highly involved process; this increases the possibility of errors. In order to decrease the complexity of feedbacks, a hierarchy of products called lXi-pro ducts was introduced some 10 years ago, where i runs over the set of all non-negative integers.
In an IXcproduct the index set of the component automata is linearly ordered.
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The input of each automaton in the product may depend on the states of all automata preceding it, i. Furthermore, at most the next i-I automata including itself may be fed back to the input of a given component automaton.
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