Skip to main content

A characterization of boolean closures of families of languages

  • Formale Sprachen
  • Conference paper
  • First Online:
GI Gesellschaft für Informatik e. V. 1. Fachtagung über Automatentheorie und Formale Sprachen

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2))

Abstract

The standard notion of acceptance for nondeterministic automata will be extended to characterize Boolean closures of families of languages. The notions of Cutpoint-pda (lba)-languages and Weighted-pda (lba)-languages will be introduced. A problem equivalent to the complementation problem for nondeterministic context-sensitive languages will be stated. The complements of the (nondeterministic) context-sensitive languages form a principal AFL.

The research in this paper was supported in part by the National Science Foundation under Grant GJ-803.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ginsburg, S., The Mathematical Theory of Context-Free Languages, McGraw-Hill, New York, (1966).

    Google Scholar 

  2. Ginsburg, S., Greibach, S. and Hopcroft, J., Studies in Abstract Families of Languages, Memoirs of the AMS, No. 87, (1969).

    Google Scholar 

  3. Rosenberg, A.L., "Multitape Finite Automata with Rewind Instructions", JCSS, 1 (1967), 299–315.

    Google Scholar 

  4. Wegbreit, B., "A Generator of Context-Sensitive Languages", JCSS, 3 (1969), 456–461.

    Google Scholar 

  5. Wotschke, D., "The Boolean Closures of the Deterministic and Nondeterministic Context-Free Languages", will appear in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, New York, (1973).

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Wotschke, D. (1973). A characterization of boolean closures of families of languages. In: GI Gesellschaft für Informatik e. V. 1. Fachtagung über Automatentheorie und Formale Sprachen. Lecture Notes in Computer Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039154

Download citation

  • DOI: https://doi.org/10.1007/BFb0039154

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06527-2

  • Online ISBN: 978-3-540-37826-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics