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Conditional Lindenmayer systems with subregular conditions: The non-extended case

Published online by Cambridge University Press:  28 March 2014

Jürgen Dassow and
Stefan Rudolf
Jürgen Dassow
Affiliation:
Otto-von-Guericke-Universität Magdeburg, Fakultät für Informatik, PSF 4120, 39016 Magdeburg, Germany. dassow@iws.cs.uni-magdeburg.de
Stefan Rudolf
Affiliation:
Fliederweg 7b, 65527 Niedernhausen, Germany

Abstract

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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.

Keywords

Lindenmayer systemscontrolled derivations

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