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

Jürgen DassowStefan Rudolf — 2014

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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...

Generating Networks of Splicing Processors

Jürgen DassowFlorin ManeaBianca Truthe — 2012

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

In this paper, we introduce generating networks of splicing processors (GNSP for short), a formal languages generating model related to networks of evolutionary processors and to accepting networks of splicing processors. We show that all recursively enumerable languages can be generated by GNSPs with only nine processors. We also show, by direct simulation, that two other variants of this computing model, where the communication between processors is conducted in different ways, have the same computational...

Generating Networks of Splicing Processors

Jürgen DassowFlorin ManeaBianca Truthe — 2012

RAIRO - Theoretical Informatics and Applications

In this paper, we introduce generating networks of splicing processors (GNSP for short), a formal languages generating model related to networks of evolutionary processors and to accepting networks of splicing processors. We show that all recursively enumerable languages can be generated by GNSPs with only nine processors. We also show, by direct simulation, that two other variants of this computing model, where the communication between processors...

Extending regular expressions with homomorphic replacement

Henning BordihnJürgen DassowMarkus Holzer — 2010

RAIRO - Theoretical Informatics and Applications

We define H- and EH-expressions as extensions of regular expressions by adding homomorphic and iterated homomorphic replacement as new operations, resp. The definition is analogous to the extension given by Gruska in order to characterize context-free languages. We compare the families of languages obtained by these extensions with the families of regular, linear context-free, context-free, and EDT0L languages. Moreover, relations to language families based on patterns, multi-patterns,...

On differentiation functions, structure functions, and related languages of context-free grammars

Jürgen DassowVictor MitranaGheorghe PăunRalf Stiebe — 2004

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We introduce the notion of a differentiation function of a context-free grammar which gives the number of terminal words that can be derived in a certain number of steps. A grammar is called narrow (or k -narrow) iff its differentiation function is bounded by a constant (by k ). We present the basic properties of differentiation functions, especially we relate them to structure function of context-free languages and narrow grammars to slender languages. We discuss the decidability of the equivalence...

On differentiation functions, structure functions, and related languages of context-free grammars

Jürgen DassowVictor MitranaGheorghe PăunRalf Stiebe — 2010

RAIRO - Theoretical Informatics and Applications

We introduce the notion of a differentiation function of a context-free grammar which gives the number of terminal words that can be derived in a certain number of steps. A grammar is called narrow (or -narrow) iff its differentiation function is bounded by a constant (by ). We present the basic properties of differentiation functions, especially we relate them to structure function of context-free languages and narrow grammars to slender languages. We discuss the decidability of the...

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