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Sequential monotonicity for restarting automata

Published online by Cambridge University Press:  18 July 2007

Tomasz Jurdziński  and
Friedrich Otto
Tomasz Jurdziński
Affiliation:
Institute of Computer Science, University of Wrocław, 51-151 Wrocław, Poland; tju@ii.uni.wroc.pl
Friedrich Otto
Affiliation:
Fachbereich Elektrotechnik/Informatik, Universität Kassel, 34109 Kassel, Germany; otto@theory.informatik.uni-kassel.de
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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.

Keywords

Restarting automatonsequential monotonicityhierarchies
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 41 , Issue 2 , April 2007 , pp. 157 - 175
Copyright
© EDP Sciences, 2007

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