Displaying similar documents to “On the product of all elements in a finite group.”

Returning and non-returning parallel communicating finite automata are equivalent

Ashish Choudhary, Kamala Krithivasan, Victor Mitrana (2007)

RAIRO - Theoretical Informatics and Applications

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A parallel communicating automata system consists of several automata working independently in parallel and communicating with each other by request with the aim of recognizing a word. Rather surprisingly, returning parallel communicating finite automata systems are equivalent to the non-returning variants. We show this result by proving the equivalence of both with multihead finite automata. Some open problems are finally formulated.

Systems of parallel communicating restarting automata

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,...

Equivalence of Deterministic and Nondeterministic Epsilon Automata

Michał Trybulec (2009)

Formalized Mathematics

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Based on concepts introduced in [14], semiautomata and leftlanguages, automata and right-languages, and langauges accepted by automata are defined. The powerset construction is defined for transition systems, semiautomata and automata. Finally, the equivalence of deterministic and nondeterministic epsilon automata is shown.

Strategies to scan pictures with automata based on Wang tiles

Violetta Lonati, Matteo Pradella (2011)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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Wang automata are devices for picture language recognition recently introduced by us, which characterize the class REC of recognizable picture languages. Thus, Wang automata are equivalent to tiling systems or online tessellation acceptors, and are based like Wang systems on labeled Wang tiles. The present work focus on scanning strategies, to prove that the ones Wang automata are based on are those following four kinds of movements: boustrophedonic, “L-like”, “U-like”, and spirals. ...

The factor automaton

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.