BIT Numerical Mathematics

, Volume 19, Issue 1, pp 73–78 | Cite as

Grammar functors and covers: From non-left-recursive to greibach normal form grammars

  • Anton Nijholt


Attention is paid to structure preserving properties of transformations from a non-left-recursive context-free grammar to a Greibach normal form grammar. It is demonstrated that such a transformation cannot only be ambiguity preserving, but also both cover and functor relations between grammars or their associated syntax-categories can be obtained from such a transformation.


context-free grammar cover syntax-category grammar functor Greibach normal form 


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    A. V. Aho and J. D. Ullman,The theory of parsing, translation and compiling, Vol. 1 and 2., Prentice-Hall, Englewood Cliffs, N.J. 1972 and 1973.Google Scholar
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    D. B. Benson,Some preservation properties of normal form grammars, Siam J. of Comput. 6 (1977), 381–402.CrossRefGoogle Scholar
  3. 3.
    J. N. Gray and M. A. Harrison,On the covering and reduction problems for context-free grammars, J. Assoc. Comput. Mach. 19 (1972), 675–698.Google Scholar

Copyright information

© BIT Foundations 1979

Authors and Affiliations

  • Anton Nijholt
    • 1
  1. 1.Department of MathematicsVrije UniversiteitAmsterdamThe Netherlands

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