Regularly Controlled Bidirectional Extended Linear Basic Grammars (Revised and extended version)

Jan Anne Hogendorp

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    Abstract

    We study the concept of bidirectional application of productions -- i.e., using a production of a grammar as a reduction too -- with respect to regularly controlled extended linear basic (macro) grammars [3], provided with a restricted mode of derivation. So this new grammatical model is in essence equal to the regularly controlled bidirectional context-free grammar of [15] in which the underlying context-free grammar is replaced by an extended linear basic grammar. We establish closure properties of the corresponding family of languages; viz. for the outside-in or OI mode we obtain a full substitution-closed AFL, and for the inside-out or IO mode we obtain a full QAFL closed under deterministic substitution. The notion of bidirectionality gives rise to a dramatic increase of generating power; even under minor assumptions the OI [IO] instance of such grammars generate all OI-macro [IO-macro, respectively] languages. Furthermore, in case of free application of productions and reductions we obtain a generating capacity equal to the one of phrase-structure grammars. [3] P.R.J. Asveld & J. Engelfriet, Extended linear macro grammars, iteration grammars, and register programs, Acta Informatica 11 (1979) 259-285. [15] J.A. Hogendorp, Controlled bidirectional grammars, Internat. J. of Computer Mathematics 27 (1989) 159-180.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Computer Science
    Number of pages45
    Publication statusPublished - 1989

    Publication series

    NameMemoranda Informatica
    PublisherDepartment of Computer Science, University of Twente
    No.INF-89-69
    ISSN (Print)0924-3755

    Keywords

    • IR-64295
    • HMI-SLT: Speech and Language Technology
    • EWI-10899

    Cite this

    Hogendorp, J. A. (1989). Regularly Controlled Bidirectional Extended Linear Basic Grammars (Revised and extended version). (Memoranda Informatica; No. INF-89-69). Enschede: University of Twente, Department of Computer Science.