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Succinctness of Descriptions of Unambiguous Context-Free Languages

Published: 01 September 1977 Publication History
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  • Abstract

    There is no recursive function bounding the succinctness gained using ambiguous grammars rather than unambiguous ones in the description of unambiguous context-free languages.

    References

    [1]
    Alfred V. Aho, Jeffrey D. Ullman, The theory of parsing, translation, and compiling. Vol. I: Parsing, Prentice-Hall Inc., Englewood Cliffs, N. J., 1972xviii+541
    [2]
    J. Hartmanis, Context-free languages and Turing machine computationsProc. Sympos. Appl. Math., Vol. XIX, Amer. Math. Soc., Providence, R.I., 1967, 42–51
    [3]
    A. R. Meyer, M. J. Fisher, Economy of description by automata, grammars and formal systems, Proc. 12th An. Sympos. on Switching and Automata Theory, IEEE Computer Society, Silver Spring, MD, 1971, 188–191
    [4]
    William Ogden, A helpful result for proving inherent ambiguity, Math. Systems Theory, 2 (1968), 191–194
    [5]
    R. E. Stearns, A regularity test for pushdown machines, Information and Control, 11 (1967), 323–340
    [6]
    Leslie G. Valiant, A note on the succinctness of descriptions of deterministic languages, Information and Control, 32 (1976), 139–145

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            Published In

            cover image SIAM Journal on Computing
            SIAM Journal on Computing  Volume 6, Issue 3
            Sep 1977
            204 pages
            ISSN:0097-5397
            DOI:10.1137/smjcat.1977.6.issue-3
            Issue’s Table of Contents

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            Society for Industrial and Applied Mathematics

            United States

            Publication History

            Published: 01 September 1977

            Author Tags

            1. inherent ambiguity
            2. size of grammars
            3. encoding of TM computations
            4. halting problem

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