We consider conditional tabled Lindenmayer sytems without interaction, where each table is associated with a regular set and a table can only be applied to a sentential form which is contained in its associated regular set. We study the effect to the generative power, if we use instead of arbitrary regular languages only finite, nilpotent, monoidal, combinational, definite, ordered, union-free, star-free, strictly locally testable, commutative regular, circular regular, and suffix-closed regular languages. Essentially, we prove that the hierarchy of language families obtained from conditional Lindenmayer systems with subregular conditions is almost identical to the hierarchy of families of subregular languages.
Mots-clés : Lindenmayer systems, controlled derivations
@article{ITA_2014__48_1_127_0,
author = {Dassow, J\"urgen and Rudolf, Stefan},
title = {Conditional {Lindenmayer} systems with subregular conditions: {The} non-extended case},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
pages = {127--147},
publisher = {EDP-Sciences},
volume = {48},
number = {1},
year = {2014},
doi = {10.1051/ita/2014007},
mrnumber = {3195792},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ita/2014007/}
}
TY - JOUR AU - Dassow, Jürgen AU - Rudolf, Stefan TI - Conditional Lindenmayer systems with subregular conditions: The non-extended case JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2014 SP - 127 EP - 147 VL - 48 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ita/2014007/ DO - 10.1051/ita/2014007 LA - en ID - ITA_2014__48_1_127_0 ER -
%0 Journal Article %A Dassow, Jürgen %A Rudolf, Stefan %T Conditional Lindenmayer systems with subregular conditions: The non-extended case %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2014 %P 127-147 %V 48 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ita/2014007/ %R 10.1051/ita/2014007 %G en %F ITA_2014__48_1_127_0
Dassow, Jürgen; Rudolf, Stefan. Conditional Lindenmayer systems with subregular conditions: The non-extended case. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 48 (2014) no. 1, pp. 127-147. doi : 10.1051/ita/2014007. http://www.numdam.org/articles/10.1051/ita/2014007/
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