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.

/pdf/conditional-lindenmayer-systems-with-subregular-conditions-qil11yyw08.pdf

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

http://link.springer.com/content/pdf/10.1007/978-3-642-74932-2_9.pdf

Regulated L Systems

We study the generative power of extended conditional Lindenmayer systems where the conditions are finite, monoidal, combinational, definite, nilpotent, strictly locally (k)-testable, commutative, circular, suffix-closed, starfree, and union-free regular languages. The results correspond to those obtained for conditional context-free languages.

/pdf/conditional-lindenmayer-systems-with-subregular-conditions-3vo8fp9cjo.pdf

Conditional Lindenmayer Systems with Subregular Conditions: The Extended Case

Conditional Grammars with Commutative, Circular and Locally Testable Conditions.

Remarks on external contextual grammars with selection

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

Conditional Lindenmayer Systems with Subregular Conditions: The Extended Case