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Contexts and the Concept of Mild Context-Sensitivity

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Abstract

We introduce and study a natural extension ofMarcus external contextual grammars. This mathematically simple mechanism whichgenerates a proper subclass of simple matrix languages,known to be mildly context-sensitive ones, is still mildlycontext-sensitive. Furthermore, we get an infinite hierarchy ofmildly context-sensitive families of languages.Then we attempt to fill a gap regarding the linguistic relevanceof these mechanisms which consists in defining a tree structure on thestrings generated by many-dimensional external contextual grammars,and investigate some related issues. Several open problemsare finally discussed.

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Authors and Affiliations

  1. Fachbereich Informatik Universität, Hamburg, Germany

    M. Kudlek

  2. Research Group on Mathematical Linguistics (GRLMC), Universitat Rovira i Virgili, Tarragona, Spain

    C. Martín-Vide

  3. Faculty of Mathematics, University of Bucharest, Romania

    A. Mateescu & V. Mitrana

Authors
  1. M. Kudlek
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  2. C. Martín-Vide
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  3. A. Mateescu
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  4. V. Mitrana
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Correspondence to C. Martín-Vide.

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Kudlek, M., Martín-Vide, C., Mateescu, A. et al. Contexts and the Concept of Mild Context-Sensitivity. Linguistics and Philosophy 26, 703–725 (2003). https://doi.org/10.1023/B:LING.0000004545.49963.94

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  • DOI: https://doi.org/10.1023/B:LING.0000004545.49963.94

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