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The concept of a contextual grammar is slightly generalized here; the generalized grammars called contextual hypergrammars admit to introduce the so called reducing operators. Using some results concerning these operators a construction is described assigning a contextual grammar Gn(V,L) to any language (V,L) and to any nonnegative integer n. This construction has the following property: The language (V,L) is generated by a contextual grammar if and only if there exists a nonnegative integer n0 such that Gn(V,L) = Gn0(V,L) for any > n0.
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Czasopismo
Rocznik
Tom
Strony
325--340
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
- Faculty of Informatics, Masaryk University, Botanicka 68a, 60200 Brno, Czech Republic, novotny@fi.muni.cz
Bibliografia
- [1] Fu, K.S., Taylor, L.B.: Grammatical inference: Introduction and survey, IEEE Transactions on Systems, Man and Cybernetics, Vol. SMC-5, No. 1 (1975), 95–111.
- [2] Gold, E.M.: Language identification in the limit, Information and Control, 10 (1967), 447–474.
- [3] Marcus, S.: Contextual grammars, Rev. Roum. Math. Pures et Appl., 14, 10 (1969), 1525–1534.
- [4] Marcus, S.: Algebraic Linguistics; Analytical Models, Academic Press, New York and London, 1967.
- [5] Marcus, S.: Contextual grammars, learning processes and the Kolmogorov-Chaitin metaphor, MFCS’98 Workshop ‘Mathematical Linguistics’ Proceedings (Ed. M. Kudlek), Universit¨at Hamburg, Fachbereich Informatik, Bericht 213, 1–12.
- [6] Martinek, P.: On a Construction of Context-free Grammars, Fundamenta Informaticae 44 (2000), 245–264.
- [7] Novotn´y, M.: On some operators reducing generalized grammars, Information and Control 26 (1974), 225–235.
- [8] Novotny, M.: Construction of Pure Grammars, Fundamenta Informaticae 52 (2002), 345–360.
- [9] Păun, G.: Gramatici Contextuale (Contextual grammars), Editura Academiei Republicii Socialiste Romania, Bucharest, 1982.
- [10] Păun, G.: Marcus Contextual Grammars, Kluwer, Boston–Dordrecht, 1997
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BUS2-0005-0133