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In the literature various types of restarting automata have been studied that are based on contextual rewriting. A word w is accepted by such an automaton if, starting from the initial configuration that corresponds to input w, the word w is reduced to the empty word by a finite number of applications of these contextual rewritings. This approach is reminiscent of the notion of McNaughton families of languages. Here we put the aforementioned types of restarting automata into the context of McNaughton families of languages, relating the classes of languages accepted by these automata in particular to the class GCSL of growing context-sensitive languages and to the class CRL of Church-Rosser languages.
@article{ITA_2014__48_1_61_0,
author = {Otto, Friedrich and \v{C}erno, Peter and Mr\'az, Franti\v{s}ek},
title = {On the classes of languages accepted by limited context restarting automata},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {61--84},
publisher = {EDP-Sciences},
volume = {48},
number = {1},
year = {2014},
doi = {10.1051/ita/2014001},
mrnumber = {3195789},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ita/2014001/}
}
TY - JOUR AU - Otto, Friedrich AU - Černo, Peter AU - Mráz, František TI - On the classes of languages accepted by limited context restarting automata JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2014 SP - 61 EP - 84 VL - 48 IS - 1 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ita/2014001/ DO - 10.1051/ita/2014001 LA - en ID - ITA_2014__48_1_61_0 ER -
%0 Journal Article %A Otto, Friedrich %A Černo, Peter %A Mráz, František %T On the classes of languages accepted by limited context restarting automata %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2014 %P 61-84 %V 48 %N 1 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ita/2014001/ %R 10.1051/ita/2014001 %G en %F ITA_2014__48_1_61_0
Otto, Friedrich; Černo, Peter; Mráz, František. On the classes of languages accepted by limited context restarting automata. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 48 (2014) no. 1, pp. 61-84. doi: 10.1051/ita/2014001
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