On some elementary properties of uniform automata
Rüdiger Valk (1975)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Rüdiger Valk (1975)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Jan Pittl (1981)
Kybernetika
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Milan Šimánek (2002)
Kybernetika
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This paper concerns searching substrings in a string using the factor automaton. The factor automaton is a deterministic finite automaton constructed to accept every substring of the given string. Nondeterministic factor automaton is used to achieve new operations on factor automata for searching in non-constant texts.
Falucskai, János (2008)
Annales Mathematicae et Informaticae
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Sylvain Lombardy, Jacques Sakarovitch (2010)
RAIRO - Theoretical Informatics and Applications
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In this paper we investigate how it is possible to recover an automaton from a rational expression that has been computed from that automaton. The notion of derived term of an expression, introduced by Antimirov, appears to be instrumental in this problem. The second important ingredient is the co-minimization of an automaton, a dual and generalized Moore algorithm on non-deterministic automata. We show here that if an automaton is then sufficiently “decorated”, the combination...
Marcel Vollweiler, Friedrich Otto (2014)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Several types of systems of parallel communicating restarting automata are introduced and studied. The main result shows that, for all types of restarting automata X, centralized systems of restarting automata of type X have the same computational power as non-centralized systems of restarting automata of the same type and the same number of components. This result is proved by a direct simulation. In addition, it is shown that for one-way restarting automata without auxiliary symbols,...