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Parallel time O(log N) recognition of unambiguous CFLs

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Fundamentals of Computation Theory (FCT 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 199))

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Abstract

We prove that every unambiguous context-free language can be recognized in O(log n) time on a parallel random access machine (P-RAM). This strengthens the result of Reif [2], who has proved that every deterministic context-free language can be recognized in O(log n) time on a P-RAM.

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References

  1. Fortune,S.and J.Wyllie. Parallelism in random access machines. Proceedings of the 10th ACM Symposium on Theory of Computation, pp.114–118 (1978)

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  2. Reif J. Parallel time O(log n) acceptance of deterministic cfl's 23 IEEE Symposium on Foundations of Computer Science,pp.290–296(1982)

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  3. Ruzzo, W.L. Tree-size bounded alternation. Journal of Computer and System Sciences 21,pp.218–235 (1980)

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  4. Rytter,W. Time complexity of two way pushdown automata and recursive programs. NATO Advanced Research Workshop,Combinatorial algorithms on words, (ed.A.Apostolico,Z.Galil) (1984), to appear in Springer-Verlag.

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Lothar Budach

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© 1985 Springer-Verlag Berlin Heidelberg

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Rytter, W. (1985). Parallel time O(log N) recognition of unambiguous CFLs. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1985. Lecture Notes in Computer Science, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028822

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  • DOI: https://doi.org/10.1007/BFb0028822

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15689-5

  • Online ISBN: 978-3-540-39636-9

  • eBook Packages: Springer Book Archive

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