# Sequential monotonicity for restarting automata

Tomasz Jurdziński; Friedrich Otto

RAIRO - Theoretical Informatics and Applications (2007)

- Volume: 41, Issue: 2, page 157-175
- ISSN: 0988-3754

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topJurdziński, Tomasz, and Otto, Friedrich. "Sequential monotonicity for restarting automata." RAIRO - Theoretical Informatics and Applications 41.2 (2007): 157-175. <http://eudml.org/doc/250060>.

@article{Jurdziński2007,

abstract = {
As already 2-monotone R-automata accept NP-complete languages,
we introduce a restricted variant of j-monotonicity
for restarting automata, called sequential j-monotonicity.
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 RLWW-automata
that are sequentially monotone of degree j for any j ≥ 1
only accept context-free languages.
},

author = {Jurdziński, Tomasz, Otto, Friedrich},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {Restarting automaton; sequential monotonicity; hierarchies; -monotonicity},

language = {eng},

month = {7},

number = {2},

pages = {157-175},

publisher = {EDP Sciences},

title = {Sequential monotonicity for restarting automata},

url = {http://eudml.org/doc/250060},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Jurdziński, Tomasz

AU - Otto, Friedrich

TI - Sequential monotonicity for restarting automata

JO - RAIRO - Theoretical Informatics and Applications

DA - 2007/7//

PB - EDP Sciences

VL - 41

IS - 2

SP - 157

EP - 175

AB -
As already 2-monotone R-automata accept NP-complete languages,
we introduce a restricted variant of j-monotonicity
for restarting automata, called sequential j-monotonicity.
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 RLWW-automata
that are sequentially monotone of degree j for any j ≥ 1
only accept context-free languages.

LA - eng

KW - Restarting automaton; sequential monotonicity; hierarchies; -monotonicity

UR - http://eudml.org/doc/250060

ER -

## References

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- M. Plátek, Two-way restarting automata and j-monotonicity, in Theory and Practice of Informatics, Proc. SOFSEM 2001, edited by L. Pacholski and P. Ružička, Springer-Verlag, Berlin. Lect. Notes Comput. Sci.2234 (2001) 316–325.
- M. Plátek and F. Mráz, Degrees of (non)monotonicity of RRW-automata, in Preproceedings of the 3rd Workshop on Descriptional Complexity of Automata, Grammars and Related Structures, Report No. 16, edited by J. Dassow and D. Wotschke, Fakultät für Informatik, Universität Magdeburg (2001) 159–165.
- M. Plátek, M. Lopatková and K. Oliva, Restarting automata: motivations and applications. In Workshop `Petrinetze' and 13. Theorietag `Formale Sprachen und Automaten', Proc., edited by M. Holzer, Institut für Informatik, Technische Universität München (2003) 90–96.

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