Skip to main content

Chapter 12 Parallel Rewriting Over Word Monoids

  • Chapter
  • First Online:
Regulated Grammars and Automata

Abstract

The present chapter studies the regulation of grammatical parallelism so it defines parallel derivations over free monoids generated by finitely many strings. The grammatical parallelism is represented by E0L grammars (an EOL grammar is an ET0L grammar with a single set of rules). The chapter demonstrates that this regulation results into a large increase of the generative power of ordinary E0L grammars, even if the strings that generate free monoids consist of no more than two symbols. In fact, the E0L grammars regulated in this way are computationally complete. This chapter consists of two sections. Section 12.1 defines E0L grammars over word monoids. Section 12.2 demonstrates their computational completeness.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

References

  1. Meduna, A.: Symbiotic E0L systems. Acta Cybern. 10, 165–172 (1992)

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this chapter

Cite this chapter

Meduna, A., Zemek, P. (2014). Chapter 12 Parallel Rewriting Over Word Monoids. In: Regulated Grammars and Automata. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0369-6_12

Download citation

  • DOI: https://doi.org/10.1007/978-1-4939-0369-6_12

  • Published:

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-0368-9

  • Online ISBN: 978-1-4939-0369-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics