skip to main content
10.1145/800119.803906acmconferencesArticle/Chapter ViewAbstractPublication PagesstocConference Proceedingsconference-collections
Article
Free Access

Intersections of linear context-free languages and reversal-bounded multipushdown machines (Extended Abstract)

Published:30 April 1974Publication History

ABSTRACT

The purpose of this paper is to establish the following result.

Theorem 3.1. Let L be a language. The following are equivalent:

(i) L is accepted by a nondeterministic multipushdown acceptor which operates in such a way that in every accepting computation each pushdown store makes at most a bounded number of reversals and which runs in linear time;

(ii) L is accepted by a nondeterministic multipushdown acceptor which operates in such a way that in every accepting computation each pushdown store makes at most one reversal and which runs in real time;

(iii) L is the length-preservlng homomorphie image of the intersection of some finite number of linear context-free languages;

(iv) L is accepted by a nondeterministlc acceptro with three pushdown stores which operates in such a way that in every computation each pushdown store makes at most one reversal and which rmls in real time;

(v) L is the length-preservlng homomorphic image of the intersection of three linear context-free languages.

References

  1. 1.S. Aanderaa, On k-tape versus (k+l)-tape realtime computation, to appear.Google ScholarGoogle Scholar
  2. 2.B. Baker and R. Book, Reversal-bounded multipushdown machines, Journal of Computer and System Sciences, to appear. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3.R. Book and S. Greibach, Quasi-realtime languages, Math. Systems Theory 4 (1970), 97-111.Google ScholarGoogle ScholarCross RefCross Ref
  4. 4.S. Ginsburg and E. Spanier, Finite-turn pushdown automata, SIAM Journal of Control. 4 (1966), 429-453.Google ScholarGoogle Scholar
  5. 5.S. Greibach and S. Ginsburg, Multi-tape AFA, JACM 19 (1972), 192-221. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.S. Greibach and J. Hopcroft, Scattered context grammars, Journal of Computer and Systems Science 3 (1969), 233-247.Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.J. Hartmanis, Tape-reversal bounded Turing machine computations, Journal of Computer and System Sciences 2 (1968), 117-135.Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.J. Hartmanis and R. Stearns, On the computational complexity of algorithms, Trans. American Math. Society 117 (1965), 285-306.Google ScholarGoogle Scholar
  9. 9.L. Liu and P. Weiner, An infinite hierarchy of intersections of context-free languages, Math. Systems Theory 7 (1973), 185-192.Google ScholarGoogle ScholarCross RefCross Ref
  10. 10.M. Rabin, Real-time computation, Israel Journal of Mathematics 1 (1963), 203-211.Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Intersections of linear context-free languages and reversal-bounded multipushdown machines (Extended Abstract)

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in
      • Published in

        cover image ACM Conferences
        STOC '74: Proceedings of the sixth annual ACM symposium on Theory of computing
        April 1974
        352 pages
        ISBN:9781450374231
        DOI:10.1145/800119

        Copyright © 1974 ACM

        Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

        Publisher

        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 30 April 1974

        Permissions

        Request permissions about this article.

        Request Permissions

        Check for updates

        Qualifiers

        • Article

        Acceptance Rates

        STOC '74 Paper Acceptance Rate35of95submissions,37%Overall Acceptance Rate1,469of4,586submissions,32%

        Upcoming Conference

        STOC '24
        56th Annual ACM Symposium on Theory of Computing (STOC 2024)
        June 24 - 28, 2024
        Vancouver , BC , Canada

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader