Abstract
Derivations by a phrase-structure grammar may be represented by a word over the set of indices for the rules of the grammar. The set of all label words constitutes the label language for the grammar. The canonical label language is the restriction of the label language to the set of canonical derivations of the grammar. Whether a given language may be the label language for any grammar is partially answered by restricting the question to the canonical derivations for regular and contextfree grammars.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Ginsburg and E. H. Spanier, “Control sets on grammars,”Math. Syst. Theory 2:159–177 (1968).
A. Salomaa, “On grammars with restricted use of productions,”Ann. Acad. Sci. Fenn., Ser. AI 454 (1969).
T. Jarvi, “On control sets induced by grammars,”Ann. Acad. Sci. Fenn. Ser. AI 480 (1970).
E. Moriya, “Associate languages and derivational complexity of formal grammars and languages,”Inf. Control 22:139–162 (1973).
M. Penttonen, “On derivation languages corresponding to context-free grammars,”Acta Inf. 3:285–291 (1974).
A. C. Fleck, “An analysis of grammars by their derivation sets,”Inf. Control 24:389–398 (1974).
J. Hart, “Label Languages and Control Sets of Canonical Phrase Structure Derivations, Technical Report No. 15, University of Kentucky, Lexington (1975).
R. L. Cannon, “Phrase structure grammars generating context-free languages,”Inf. Control 29:252–267 (1976).
H. P. Kriegel and H. A. Maurer, “Formal translations and Szilard languages,”Inf. Control 30:187–198 (1976).
J. M. Hart, “The derivation language of a phrase structure grammar,”J. Comput. Syst. Sci. 12:64–79 (1976).
A. Salomaa,Formal Languages (Academic Press, New York, 1973).
T. V. Griffiths, “Some remarks on derivations in general rewriting systems,”Inf. Control 12:27–54 (1968).
J. Loeckx, “The parsing for general phrase structure grammars,”Inf. Control 16:443–464 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cannon, R.L. Notes on canonical label languages. International Journal of Computer and Information Sciences 8, 141–148 (1979). https://doi.org/10.1007/BF00989668
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00989668