Lindenmayer Systems

1. Front Matter

   Pages I-IX

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2. In the Footsteps of L: Exposition of L Systems

   1. Front Matter

      Pages 1-1

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   2. Grammars of Development: Discrete-State Models for Growth, Differentiation, and Gene Expression in Modular Organisms

      • A. Lindenmayer, H. Jürgensen

      Pages 3-21

3. The Main Path Continues Further: Studies of Basic L Systems

   1. Front Matter

      Pages 23-23

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   2. Regularity Properties of L Ambiguities of Morphisms

      • Juha Honkala

      Pages 25-47

   3. Iterated Substitutions and Locally Catenative Systems: a Decidability Result in the Binary Case

      • Christian Choffrut

      Pages 49-92

   4. Alternating Iteration of Morphisms and the Kolakovski Sequence

      • K. Culik II, J. Karhumäki, A. Lepistö

      Pages 93-106

   5. Interaction Strength of DIL Systems

      • Youichi Kobuchi

      Pages 107-114

   6. Inductive Inference of 0L Languages

      • Takashi Yokomori

      Pages 115-132

   7. A normal form for structurally equivalent E0L grammars

      • Valtteri Niemi

      Pages 133-148

   8. Simplifications of E0L Grammars

      • Thomas Ottmann, Derick Wood

      Pages 149-166

   9. The Complexity of the Emptiness Problem for EOL Systems

      • Klaus-Jörn Lange, Michael Schudy

      Pages 167-175

   10. A0L-and CFG- Size of Languages

       • Alica Kelemenová, Miriam Removčíková

       Pages 177-182

   11. A Comparison of Two Controlled Rewriting Mechanisms for Table Lindenmayer Systems

       • Mária Pastorová

       Pages 183-189

4. Images from the Path: Computer Graphics, Pictures and Animation

   1. Front Matter

      Pages 191-191

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   2. L-systems: from formalism to programming languages

      • Przemyslaw Prusinkiewicz, James Hanan

      Pages 193-211

   3. Parameterized L Systems for Modelling: Potential and Limitations

      • T. W. Chien, H. Jürgensen

      Pages 213-229

   4. A High-Level Language for L-systems and Its Applications

      • Narendra S. Goel, Ivan Rozehnal

      Pages 231-251

   5. On Synchronized Lindenmayer Picture Languages

      • Jürgen Dassow, Juraj Hromkovic

      Pages 253-261

   6. Generation of Random Planar Tessellations by Hierarchical Decimation

      • Peter Meer, Azriel Rosenfeld

      Pages 263-268

L systems are language-theoretic models for developmental biology. They wereintroduced in 1968 by Aristid Lindenmayer (1925-1989) and have proved to be among the most beautiful examples of interdisciplinary science, where work in one area induces fruitful ideas and results in other areas. L systemsare based on relational and set-theoretic concepts, which are more suitable for the discrete and combinatorial structures of biology than mathematical models based on calculus or statistics. L systems have stimulated new work not only in the realistic simulation of developing organisms but also in the theory of automata and formal languages, formal power series, computer graphics, and combinatorics of words. This book contains research papers by almost all leading authorities and by many of the most promising young researchers in the field. The 28 contributions are organized in sections on basic L systems, computer graphics, graph grammars and map L systems, biological aspects and models, and variations and generalizations of L systems. The introductory paper by Lindenmayer and J}rgensen was written for a wide audience and is accessible to the non-specialist reader. The volume documents the state of the art in the theory of L systems and their applications. It will interest researchers and advanced students in theoretical computer science and developmental biology as well as professionals in computer graphics.

• automata
• biology
• calculus
• computer
• computer graphics
• computer science
• development
• developmental biology
• formal language
• formal languages
• grammars
• language
• simulation
• statistics
• theoretical computer science

• Department of Computer Science, Leiden University, Leiden, The Netherlands

  Grzegorz Rozenberg

• The Academy of Finland Department of Mathematics, University of Turku, Turku, Finland

  Arto Salomaa

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