Summary
The present categorial approach to bottom-up parsing context free grammars treats two aspects of determinism. One is an abstraction of grammatical determinism from actual parsing strategies. The other is the transfer of determinism under grammar transformations. The approach is based on the characterization of a parse step as categorial limit, which on the one hand yields a convenient pattern for grammar type definition, and leads on the other hand in a transparent way to invariance results on deterministic grammars under homomorphic transformations.
Similar content being viewed by others
References
Aho, A.V., Ullman, J.D.: Principles of Compiler Design. Reading: Addison-Wesley (1978)
Benson, D.: Some Preservation Properties of Normal Form Grammars. SIAM J. Comput. Syst. Sci. 6, 2 (1977), p. 381–402
Gray, J.N., Harrison, M.A.: On the covering and reduction problems for context free grammars. J. ACM 12, 675–698 (1972)
Hotz, G.: Eindeutigkeit und Mehrdeutigkeit formaler Sprachen. EIK 2, 235–246 (1966)
Hotz, G., Ross, R.: LL(k)- und LR(k)-Invarianz von kontextfreien Grammatiken unter einer Transformation auf Greibach-Normalform. EIK 15, 1–2 (1979)
Knuth, D.E.: On the translation of languages from left to right. Inf. Control 8, 607–639 (1965)
Lomet, D.B.: A formalization of transition diagram systems. J. ACM 20, 235–257 (1973)
Nijholt, A.: Context-free Grammars: Covers. Normal Forms, and Parsing. Academisch Proefschrift, Vrije Universiteit te Amsterdam (1980)
Nijholt, A.: Parsing strategies: A concise survey. In: Math. Found. of Comp. Sci. Lect. Notes Compu. Sci. 118. Berlin, Heidelberg, New York: Springer (1981)
Reichardt, J.: Die Invarianz der Parsingeigenschaft unter Grammatikmorphismen. (Dissertation), Darmstadt (1985)
Szymanski, T.G., Williams, J.H.: Noncanonical extensions of bottom-up parsing techniques. SIAM J. Comput. 5, 122–129 (1976)
Walter, H.K.-G.: Grammatik- und Sprachfamilien IV. Technical Report AFS 75-22, TH Darmstadt, FB Informatik (1975)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Reichardt, J. Deterministic grammars and grammar morphisms. Acta Informatica 23, 567–583 (1986). https://doi.org/10.1007/BF00288470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00288470