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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 148))

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Abstract

The decade of the 1950s has witnessed great steps forward in the systematic investigation of natural languages by means of mathematical tools. With the publication of Chomsky’s pioneering book [5] in 1957, the generative approach emerged, while, at the same time, research done within the Russian school of Mathematics gave a new start in the development of analytical mathematical models of language.

Work supported by gtant SAB2000-0145 from the Secretaría de Estado de Educación y Universidades, Spanish Ministry for Education, Culture and Sport.

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References

  1. G. Bel Enguix, M. Cavaliere, R. Ceterchi, R. Gramatovici, C. Martin-Vide, An application of dynamic P systems: Generating context-free languages, in Membrane Computing. International Workshop, WMC-CdeA 2002, Curtea de Arges, Romania, August 2002 (Gh. Päun, G. Rozenberg, A. Salomaa, C. Zandron, eds.), Springer-Verlag, LNCS 2597, Berlin, 2003, 90–106.

    Google Scholar 

  2. R. Ceterchi, Characterizing contextual languages with fixed-point equations, Ann. Univ. Bucharest., Mathematics-Informatics Series, 47 (1998), 41–49.

    Google Scholar 

  3. R. Ceterchi, Marcus contextual languages and their cut-and-paste properties, First Intern. Conference, RSCTC’98, Springer Verlag, 1998, 99–106.

    Google Scholar 

  4. R. Ceterchi, C. Martin-Vide, Dynamic P systems, in Membrane Computing. International Workshop, WMC-CdeA 2002, Curtea de Arges, Romania, August 2002 (Gh. Pâun, G. Rozenberg, A. Salomaa, C. Zandron, eds.), Springer-Verlag, LNCS 2597, Berlin, 2003, 146–186.

    Google Scholar 

  5. N. Chomsky, Syntactic Structures, Mouton, The Hague, 1957.

    Google Scholar 

  6. J. Dassow, V. Mitrana, The degree of parallelism in contextual grammars with the strategy of minimal competence, in Mathematical and Computational Analysys of Natural Language (C. Martin-Vide ed.), Studies in Functional and Structural Linguistics 45, John Benjamins, Amsterdam, 1998, 3–16.

    Google Scholar 

  7. A. Ehrenfeucht, Gh. Pâun, G. Rozenberg, On representing recursively enumerable languages by internal contextual languages, Theoretical Computer Sci., 205, 1–2 (1998), 61–83.

    Article  Google Scholar 

  8. A. Ehrenfeucht, Gh. Pâun, G. Rozenberg, Contextual grammars and formal languages, chapter 6 in vol. 2 of [62], 237–294.

    Google Scholar 

  9. R. Gramatovici, Course on Marcus contextual grammars, Charles University in Prague, Faculty of Mathematics and Physics, UFAL/CKL, October 2002 - January 2003, http://www-funinf.cs.unibuc.ro/radu/MCG/.html

  10. R. Gramatovici, An efficient parser for a class of contextual grammars, Fundamenta Informaticae, 33 (1998), 211–238.

    MathSciNet  MATH  Google Scholar 

  11. R. Gramatovici, C. Martin-Vide, 1-contextual grammars with sorted dependencies, Proceedings of 3rd Int. AMAST Workshop on Algebraic Methods in Language Processing, Verona, Italy, 2003, 99–109.

    Google Scholar 

  12. K. Harbusch, A polynomial parser for contextual grammars with linear, regular and context-free selectors, in Proceedings of MOLE–Sixth Meeting on the Mathematics of Language, Orlando, Florida/USA, 1999, 323–335.

    Google Scholar 

  13. K. Harbusch, Parsing contextual grammars with linear, regular and context-free selectors, in Words, Sequences, Languages: Where Computer Science, Biology and Linguistics Meet (C. Martin-Vide, V. Mitrana, eds.), Springer, Berlin, New York, Tokio, 2000, 45–54.

    Google Scholar 

  14. K. Harbusch, An efficient online parser for contextual grammars with at most context-free selectors, in Computational Linguistics and Intelligent Text Processing, 4th International Conference, CICLing 2003 (A.F. Gelbukh, ed.), LNCS 2588, Springer, Berlin, New York, Tokio, 2003, 168–179.

    Google Scholar 

  15. Z.S. Harris, Methods in Structural Linguistics, Chicago Univ. Press, 1951.

    Google Scholar 

  16. L. Ilie, A non-semilinear language generated by an internal contextual grammar with finite choice, Ann. Univ. Buc., Matem.-Inform. Series, 45, 1 (1996), 63–70.

    MathSciNet  Google Scholar 

  17. L. Ilie, On ambiguity in internal contextual languages, II Intern. Conf. on Mathematical Linguistics, Tarragona, 1996 (C. Martin-Vide, ed.), John Benjamins, Amsterdam, 1997, 29–45.

    Google Scholar 

  18. L. Ilie, On computational complexity of contextual languages, Theoretical Computer Sci., 183, 1 (1997), 33–44.

    Article  MathSciNet  MATH  Google Scholar 

  19. L. Ilie, Some recent results on contextual languages, Bulletin of the EATCS, 62 (June 1997).

    Google Scholar 

  20. L. Ilie, On the computational complexity of Marcus external contextual languages, Fundamenta Informaticae, 30 (1997), 161–167.

    MathSciNet  MATH  Google Scholar 

  21. S. Istrail, A problem about contextual grammars with choice, Stud. Cerc. Matem., 30 (1978), 135–139.

    MathSciNet  MATH  Google Scholar 

  22. S. Istrail, Contextual grammars with regulated selection, Stud. Cerc. Matem., 30 (1978), 287–294.

    MathSciNet  MATH  Google Scholar 

  23. S. Istrail, A fixed-point approach to contextual languages, Rev. Roum. Math. Pures Appl., 25 (1980), 861–869.

    MathSciNet  MATH  Google Scholar 

  24. G. Istrate, On a problem about Marcus contextual languages, Bull. Math. Soc. Sci. Math. Roumanie, 33(81), 4 (1989), 335–338.

    MathSciNet  Google Scholar 

  25. M. Kappes, On the generative capacity of bracketed contextual grammars, Grammars, 1 (2), 1998, 91–101.

    Article  MathSciNet  MATH  Google Scholar 

  26. M. Kappes, Multi-bracketed contextual grammars, Journal of Automata, Languages and Combinatorics, 3, 2 (1998), 85–103.

    MathSciNet  MATH  Google Scholar 

  27. M. Kappes, Multi-bracketed contextual rewriting grammars, Fundamenta Informaticae, 28, 8 (1999), 257–280.

    MathSciNet  Google Scholar 

  28. S.R. Kaushik, K. Krithivasan, Some results on contextual grammars, Int. J. Comp. Math., 73 (2000), 279–291.

    Article  MathSciNet  MATH  Google Scholar 

  29. K. Krithivasan, M.S. Balan, R Rama, Array contextual grammars, in Recent Topics in Mathematical and Computational Linguistics (C. Martin-Vide, Gh. Pâun, eds. ), 2000, 154–168.

    Google Scholar 

  30. M. Kudlek, C. Martin-Vide, A. Mateescu, V. Mitrana, Contexts and the concept of mild context-sensitivity, Linguistics and Philosophy,2003 (in press).

    Google Scholar 

  31. M. Madhu, K. Krithivasan, A note on hybrid P systems, Grammars, 5, 3 (2002), 239–244.

    Article  MathSciNet  MATH  Google Scholar 

  32. M. Madhu, K. Krithivasan, Contextual P systems, Fundamenta Informaticae, 49, 13 (2002), 179–189.

    MathSciNet  Google Scholar 

  33. S. Marcus, Algebraic Linguistics. Analytical Models, Academic Press, New York, 1967.

    MATH  Google Scholar 

  34. S. Marcus, Introduction mathématique a la linguistique structurale, Dunod, Paris, 1967.

    MATH  Google Scholar 

  35. S. Marcus, Contextual grammars, Intern. Conf. on Computational Linguistics, COLING, Preprint no. 48, KVAL Research Group for Quantitative Linguistics, Stokholm, 1968.

    Google Scholar 

  36. S. Marcus, Contextual grammars, Rev. Roum. Math. Pures Appl., 14 (1969), 1525–1534.

    MATH  Google Scholar 

  37. S. Marcus, Deux types nouveaux de grammaires génératives, Cah. Ling. Th. Appl., 6 (1969), 69–74.

    Google Scholar 

  38. S. Marcus, Contextual grammars and natural languages, chapter 5 in vol..2 of [62], 215–235.

    Google Scholar 

  39. S. Marcus, C. Martin-Vide, Gh. Päun, On internal contextual grammars with maximal use of selectors, 8th Conf. Automata and Formal Language, Salgotarjan, 1996.

    Google Scholar 

  40. S. Marcus, C. Martin-Vide, Gh. Päun, Contextual grammars versus natural languages, Intern. Workshop on Speech and Computer, SPECOM, (R. Yusupov, ed. ), St. Petersburg, 1996, 28–33.

    Google Scholar 

  41. S. Marcus, C. Martin-Vide, Gh. Päun, Contextual grammars as generative models of natural languages, Computational Linguistics, 24 (2) (1998), 245–274.

    MathSciNet  Google Scholar 

  42. C. Martin-Vide, A. Mateescu, J. Miquel-Verges, Gh. Päun, Contextual grammars with maximal, minimal and scattered use of contexts, Proc. of the Fourth Bar-Ilan Symp. on Foundations of AI, BISFAI ‘85 (M. Koppel, E. Shamir, eds. ), Jerusalem, 1995, 132–142.

    Google Scholar 

  43. C. Martin-Vide, Gh. Päun, Structured contextual grammars, Grammars, 1 (1), 1998, 33–55.

    Article  MathSciNet  MATH  Google Scholar 

  44. V. Mitrana, Contextual insertion and deletion, in Mathematical Linguistics and Related Topics (Gh. Päun, ed. ), The Publishing House of the Romanian Academy, 1994, 271–278.

    Google Scholar 

  45. V. Mitrana, Contextual grammars: the strategy of minimal competence, in Mathematical Aspects of Natural and Formal Languages (Gh. Päun, ed. ), World Scientific Publishing, 1994, 319–331.

    Google Scholar 

  46. V. Mitrana, Parallelism in contextual grammars, Fundamenta Informaticae, 33 (1998), 281–294.

    MathSciNet  MATH  Google Scholar 

  47. V. Mitrana, Chomsky-Schützenberger type characterizations based on contextual languages, GRAMMARS, 1 (1988), 167–176.

    Article  MathSciNet  Google Scholar 

  48. C. Martin-Vide, V. Mitrana, Cooperation in contextual grammars, Romanian Journal of Information Science and Technology, 3 (1998), 231–241.

    Google Scholar 

  49. Gh. Päun, On contextual grammars, Stud. Cerc. Matem., 26 (1974), 1111–1129.

    Google Scholar 

  50. Gh. Päun, On the complexity of contextual grammars with choice, Stud. Cerc. Matem., 27 (1975), 559–569.

    Google Scholar 

  51. Gh. Päun, On some classes of contextual grammars, Bull. Math. Soc. Sci. Math. Roumanie, 22 (70) (1978), 183–189.

    Google Scholar 

  52. Gh. Päun, An infinite hierarchy of contextual languages with choice, Bull. Math. Soc. Sci. Math. Roumanie, 22 (70) (1978), 425–430.

    Google Scholar 

  53. Gh. Päun, Contextual Grammars, The Publ. House of the Romanian Academy, Bucharest, 1982 (in Romanian).

    Google Scholar 

  54. Gh. Päun, On some open problems about Marcus contextual languages, Intern. J. Computer Math., 17 (1985), 9–23.

    Article  Google Scholar 

  55. Gh. Päun, Marcus contextual grammars. After 25 years, Bulletin of EATCS, 52 (1994), 263–273.

    Google Scholar 

  56. Gh. Päun, X.M. Nguyen, On the inner contextual grammars, Rev. Roum. Math. Pures Appl., 25 (1980), 641–651.

    Google Scholar 

  57. Gh. Päun, G. Rozenberg, A. Salomaa, Contextual grammars• erasing, determinism, one-sided contexts, in Developments in Language Theory ( G. Rozenberg, A. Salomaa, eds.), World Sci. Publ., Singapore, 1994, 370–388.

    Google Scholar 

  58. Gh. Päun, G. Rozenberg, A. Salomaa, Marcus contextual grammars: modularity and leftmost derivation, in Mathematical Aspects of Natural and Formal Languages ( Gh. Päun, ed.), World Sci. Publ., Singapore, 1994, 375–392.

    Google Scholar 

  59. Gh. Päun, G. Bozenberg, A. Salomaa, DNA Computing. New Computing Paradigms, Springer-Verlag, Berlin, Heidelberg, New-York, 1998.

    Google Scholar 

  60. Gh. Päun, A. Salomaa, Thin and slender languages, Discr. Appl. Math., 61 (1995), 257–270.

    Article  Google Scholar 

  61. Gh. Päun, Marcus Contextual Grammars, Kluwer Academic Publishers, Dordrecht, Boston, London, 1997

    Google Scholar 

  62. G. Rozenberg, A. Salomaa (eds.), The Handbook of Formal Languages, 3 volumes, Springer-Verlag, Berlin, Heidelberg, New-York, 1997.

    Book  Google Scholar 

  63. S. Vicolov, Two theorems about Marcus contextual languages, Bull. Math. Soc. Sci. Math. Roumanie, 35 (83) (1991), 167–170.

    MathSciNet  Google Scholar 

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Ceterchi, R. (2004). Marcus Contextual Grammars. In: Martín-Vide, C., Mitrana, V., Păun, G. (eds) Formal Languages and Applications. Studies in Fuzziness and Soft Computing, vol 148. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39886-8_17

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  • DOI: https://doi.org/10.1007/978-3-540-39886-8_17

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