On the succinctness of different representations of languages

  • J. Hartmanis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 71)


The purpose of this paper is to give simple new proofs of some interesting recent results about the relative succinctness of different representations of regular, deterministic and unambiguous context-free languages and to derive some new results about how the relative succinctness of representations change when the representations contain a formal proof that the languages generated are in the desired subclass of languages.


Turing Machine Recursive Function Finite Automaton Finite Alphabet Pushdown Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    Blum, M. "On the Size of Machines", Information and Control, Vol. 11 (1967), 257–265.Google Scholar
  2. [2]
    Hartmanis, J. "Context-Free Languages and Turing Machine Computations", Proceedings of Symposia in Applied Mathematics, Vol. 19, Mathematical Aspects of Computer Science, pp. 42–51, Amer. Math. Soc. 1967.Google Scholar
  3. [3]
    Meyer, A.R. and M.J. Fischer. "Economy of Description by Automata, Grammars and Formal Systems", Conference Record, IEEE 12th Annual Symposium on Switching and Automata Theory (1971), 188–190.Google Scholar
  4. [4]
    Reedy, H. and W.J. Savitch. "The Turing Degree of the Inherent Ambiguity Problem for Context-Free Languages", Theoretical Computer Science, Vol. 1 (1975), 77–91.Google Scholar
  5. [5]
    Schmidt, E.H. and T.G. Szymanski. "Succinctness of Descriptions of Unambiguous Context-Free Languages", SIAM J. Computing, Vol. 6 (1977), 547–553.Google Scholar
  6. [6]
    Valiant, L.G. "A Note on the Succinctness of Descriptions of Deterministic Languages", Information and Control, Vol. 32 (1976), 139–145.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • J. Hartmanis
    • 1
  1. 1.Department of Computer ScienceCornell UniversityIthaca

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