Displaying similar documents to “Hierarchies of weakly monotone restarting automata”

Hierarchies of weakly monotone restarting automata

František Mráz, Friedrich Otto (2005)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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It is known that the weakly monotone restarting automata accept exactly the growing context-sensitive languages. We introduce a measure on the degree of weak monotonicity and show that the language classes obtained in this way form strict hierarchies for the various types of deterministic and nondeterministic restarting automata without auxiliary symbols.

Left-to-right regular languages and two-way restarting automata

Friedrich Otto (2009)

RAIRO - Theoretical Informatics and Applications

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It is shown that the class of left-to-right regular languages coincides with the class of languages that are accepted by monotone deterministic -automata, in this way establishing a close correspondence between a classical parsing algorithm and a certain restricted type of analysis by reduction.

Sequential monotonicity for restarting automata

Tomasz Jurdziński, Friedrich Otto (2007)

RAIRO - Theoretical Informatics and Applications

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As already 2-monotone -automata accept -complete languages, we introduce a restricted variant of -monotonicity for restarting automata, called . For restarting automata without auxiliary symbols, this restricted variant still yields infinite hierarchies. However, for restarting automata with auxiliary symbols, all degrees of sequential monotonicity collapse to the first level, implying that -automata that are sequentially monotone of degree for any only accept context-free languages. ...

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. ...

Strategies to scan pictures with automata based on Wang tiles

Violetta Lonati, Matteo Pradella (2011)

RAIRO - Theoretical Informatics and Applications

Similarity:

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. ...