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The equivalence of reducing transition languages and deterministic languages

Published:01 September 1974Publication History
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Abstract

The class of reducing transition languages introduced by Eickel, Paul, Bauer, and Samelson was shown by Morris to be a proper superclass of the simple precedence languages. In this paper this result is extended, showing that, in fact, the first class is equivalent to the class of deterministic context free languages.

References

  1. 1 Eickel, J., Paul, M., Bauer, F.L., and Samelson, K. A syntax controlled generator of formal language processors. Comm. ACM 6, 8 (Aug. 1963), 451-455. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. 2 Wirth, N., and Weber, H. EULER.: A generalization of ALGOL, and its formal definition: Part I. Comm. ACM 9, 1 (Jan. 1966), 13-23. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3 Morris, J.B. A result on the relationship between Simple Precedence Languages and Reducing Transition Languages. Proc. Symp. on Theory of Computing, ACM, May 1970, pp. 73-80. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4 Aho, A.V., and Ullman, J.D. The Theory of Parsing, Translation and Compiling. Prentice-Hall, Englewood Cliffs, N.J., 1972, 3. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. 5 Ginsburg, S. The Mathematical Theory of Context-Free Languages. McGraw Hill, New York, 1966. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6 Aho, A.V., Denning, P.J., and Ullman, J.D. Weak and mixed strategy precedence parsing. J. ACM, 19, 2 (Apr, 1972), 225-243. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7 Fischer, M.J. Some properties of Precedence Languages. Proc. Symp. on Theory of Computing, ACM, May 1969, pp. 181-190. Google ScholarGoogle ScholarDigital LibraryDigital Library

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        cover image Communications of the ACM
        Communications of the ACM  Volume 17, Issue 9
        Sept. 1974
        61 pages
        ISSN:0001-0782
        EISSN:1557-7317
        DOI:10.1145/361147
        Issue’s Table of Contents

        Copyright © 1974 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 September 1974

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