Abstract
We introduce a new type of contextual grammars. Instead of considering the catenation operation we use the distributed catenation operation. The contexts are distributed catenated with words from the language, defining in this way new words from the language. We investigate several properties of the languages generated by distributed catenated contextual grammars. We also present the relations to contextual grammars with shuffled context and some new results of such grammars, and discuss the linguistic importance of such grammars.
This work has been partially supported by the Project 137358 of the Academy of Finland.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Delany, P., Landow, G. P. (eds): Hypermedia and Literary Studies, The MIT Press, Cambridge, Mass. and London, England, 1991.
Kudlek, M. and Mateescu, A.: Distributed Catenation and Chomsky Hierarchy, Fundamentals of Computation Theory, FCT'95, Dresden, Germany, 1995 Lecture Notes in Computer Science, LNCS 965, Springer Verlag, 1995, 313–322.
Kudlek, M. and Mateescu, A.: Rational and Algebraic Languages with Distributed Catenation, Developments in Language Theory, DLT'95, Magdeburg, Germany, 1995 in Developments in Language Theory 11, eds. J. Dassow, G. Rozenberg and A. Salomaa, World Scientific, 1996, 129–138.
Kuich, W., Salomaa, A.: Semirings, Automata, Languages, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986.
Marcus, S.: Algebraic Linguistics; Analytical Models, Academic Press, New York and London, 1967.
Marcus, S.: Contextual Grammars, Rev. Roum. Math. Pures et Appl., 14, 10 (1969) 1525–1534.
Marcus S.: Contextual Grammars and Natural Languages, in Handbook of Formal Languages (eds. Rozenberg G., Salomaa A.), Springer, Berlin, New York, 1997.
Martin Vide, C., Mateescu, A., Miquel Vergés, J., Salomaa, A.: Quasi Shuffle Marcus Grammars, in Proc. of XII Congress on Natural and Formal Languages, ed. Carlos Martin Vide, Spain, 1996, 495–499.
Mateescu, A.: Marcus Grammars with Shuffled Contexts, Mathematical Aspects of Natural and Formal Languages, World Scientific, 1994, 275–284.
Pąun, G.: Contextual Grammars, Romanian Academy Publ. House, Bucharest, 1982.
Pąun, G., Rozenberg, G., Salomaa, A.: Contextual Grammars: Erasing, determinism, one-sided contexts, in Developments in Language Theory, DLT'93, Turku, Finland, 1993 in Developments in Language Theory I, eds. G. Rozenberg and A. Salomaa, World Scientific, 1994, 370–388.
Păun, G., Rozenberg, G., Salomaa, A.: Marcus Contextual Grammars: Modularity and leftmost derivation, Mathematical Aspects of Natural and Formal Languages, World Scientific, 1994, 375–392.
Păun, G. (ed): Marcus Contextual Grammars, Kluwer, Amsterdam.
Salomaa, A.: Formal Languages, Academic Press, New York, London, 1973. *** DIRECT SUPPORT *** A0008123 00008
Author information
Authors and Affiliations
Corresponding author
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kudlek, M., Marcus, S., Mateescu, A. (1997). Contextual grammars with distributed catenation and shuffle. In: Chlebus, B.S., Czaja, L. (eds) Fundamentals of Computation Theory. FCT 1997. Lecture Notes in Computer Science, vol 1279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036190
Download citation
DOI: https://doi.org/10.1007/BFb0036190
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63386-0
Online ISBN: 978-3-540-69529-5
eBook Packages: Springer Book Archive