Skip to main content

Parallel Rewriting Systems on Terms

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14))

Abstract

A. Lindenmayer introduced in [3] a mathematical model for developmental systems in biology. The simplest of these models were the so-called OL systems discussed in [4]. The properties which distinguish OL systems (and their generalisations) from the more common grammars of formal language theory are:

  1. (i)

    Each symbol in the alphabet appears on the left-hand side of some production in the system;

  2. (ii)

    A step in a derivation is accomplished by applying in parallel a production to each symbol in a string.

The research for this report was supported by National Research Council Grant Nos. A5549 and A7403.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. Aho, A.V., Indexed grammars — an extension of context free grammars, Journal of the ACM, 1968, V. 15, 647–671.

    Article  MathSciNet  MATH  Google Scholar 

  2. Culik II, K., and J. Opatrny, Macro OL system, Research Report #CS-73–06, Department of Applied Analysis and Computer Science, University of Waterloo.

    Google Scholar 

  3. Lindenmayer, A., Mathematical models for cellular interactions in development, Parts I and II, Journal of Theoretical Biology, 1968, V. 18, 280–315.

    Article  Google Scholar 

  4. Lindenmayer, A., Developmental systems without cellular interactions, their languages and grammars, Journal of Theoretical Biology, 1971, V. 30, 455–484.

    Article  Google Scholar 

  5. Maibaum, T.S.E., The characterisation of the derivation trees of context-free sets of terms as regular sets, Proc. 13th IEEE Symp. on Switching and Automata Theory, 1972, 224–230.

    Google Scholar 

  6. Maibaum, T.S.E., A generalised approach to formal languages, to appear in Journal of Computer and System Sciences.

    Google Scholar 

  7. Maibaum, T.S.E., Generalised grammars and homomorphic images of recognizable sets, Doctoral Dissertation, University of London, 1973.

    Google Scholar 

  8. Maibaum, T.S.E., Indexed grammars on terms and their generalisation, in preparation.

    Google Scholar 

  9. Opatrný, J.,in preparation.

    Google Scholar 

  10. Rozenberg, G., TOL systems and languages, to appear in Information and Control.

    Google Scholar 

  11. Rozenberg, G., Extension of tabled OL systems and languages, to appear in International Journal of Computer and Information Sciences.

    Google Scholar 

  12. Turner, R., Doctoral Dissertation, University of London, 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Culik, K., Maibaum, T.S.E. (1974). Parallel Rewriting Systems on Terms. In: Loeckx, J. (eds) Automata, Languages and Programming. ICALP 1974. Lecture Notes in Computer Science, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21545-6_38

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-21545-6_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06841-9

  • Online ISBN: 978-3-662-21545-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics