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Grammarforms and grammarhomomorphisms

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Summary

We show that grammar forms, introduced by S. Ginsburg, can be treated with the help of grammar homomorphisms, introduced by G. Hotz. This gives us the possibility to generalize the notion of grammar forms in such a way that we can prove closure properties of the associated language family using some simple axioms by diagram chasing. Moreover we demonstrate a principle of duality in dealing with this theory.

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References

  1. Bertsch, E.: Existenz- und Entscheidbarkeitsfragen der Übersetzungstheorie. Universität des Saarlandes, Dissertation 1973

  2. Ginsburg, S.: The mathematical theory of context-free languages. New York: McGraw-Hill 1966

    Google Scholar 

  3. Ginsburg, S., Cremers, A.: Context-free grammar forms. J. Computer and System Sciences to appear

  4. Ginsburg, S., Spanier, E. H.: Derivation-bounded languages. J. Computer and System Sciences 2, 228–250 (1968)

    Google Scholar 

  5. Hotz, G.: Eindeutigkeit und Mehrdeutigkeit formaler Sprachen. EIK 2, 235–246 (1966)

    Google Scholar 

  6. Hotz, G.: Homomorphie und Äquivalenz formaler Sprachen. In: Händler, W., Peschl, E., Unger, H. (Hrsg.): 3. Kolloquium über Automatentheorie. Basel: Birkhäuser 1967

    Google Scholar 

  7. Hotz, G.: Übertragung automatentheoretischer Sätze auf Chomsky-Sprachen. Main lecture. Scientific meeting, GAMM Praha 1.-5. 4., Computing 4, 30–42 (1969)

    Google Scholar 

  8. Hotz, G., Claus, V.: Automatentheorie und formale Sprachen III: Formale Sprachen. Mannheim: Bibliographisches Institut 1970

    Google Scholar 

  9. Salomaa, A.: On the index of context-free grammars and languages. Information and Control 14, 474–477 (1966)

    Google Scholar 

  10. Walter, H.: Verallgemeinerte Pullbackkonstruktionen bei Semi-Thue-Systemen. EIK 5, 27–36 (1969)

    Google Scholar 

  11. Walter, H.: Grammatik- und Sprachfamilien Teil 1: Diagrammergänzungssätze und Abschlußeigenschaften. Berichte der Informatikforschungsgruppen des Fachbereichs Informatik der TH Darmstadt, AFS-13, 1975

  12. Walter, H.: Zwei Operationen zwischen Chomsky-Grammatiken. In: Dörr, J., Hotz, G. (Hrsg.): Tagungsbericht Automatentheorie und formale Sprachen, Math. Forschungsinstitut Oberwolfach — Berichte. Mannheim: Bibliographisches Institut 1970

    Google Scholar 

  13. Schnorr, C. P.: Transformational classes of grammars. Information and Control 14, 252–277 (1969)

    Google Scholar 

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Authors and Affiliations

  1. Fachbereich Informatik TH Darmstadt, Magdalenenstr. 11, D-6100, Darmstadt, Germany

    H. K. -G. Walter

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  1. H. K. -G. Walter
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Walter, H.K.G. Grammarforms and grammarhomomorphisms. Acta Informatica 7, 75–93 (1976). https://doi.org/10.1007/BF00265222

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