Skip to main content
Log in

Mild Context-Sensitivity and Tuple-Based Generalizations of Context-Grammar

  • Published:
Linguistics and Philosophy Aims and scope Submit manuscript

Abstract

This paper classifies a family of grammar formalisms that extendcontext-free grammar by talking about tuples of terminal strings, ratherthan independently combining single terminal words into larger singlephrases. These include a number of well-known formalisms, such as headgrammar and linear context-free rewriting systems, but also a new formalism,(simple) literal movement grammar, which strictly extends the previouslyknown formalisms, while preserving polynomial time recognizability.

The descriptive capacity of simple literal movement grammars isillustrated both formally through a weak generative capacity argument and ina more practical sense by the description of conjunctive cross-serialrelative clauses in Dutch. After sketching a complexity result and drawing anumber of conclusions from the illustrations, it is then suggested that thenotion of mild context-sensitivity currently in use, that depends on therather loosely defined concept of constant growth, needs a modification toapply sensibly to the illustrated facts; an attempt at such a revision isproposed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Chandra, A. K., D. C. Kozen, and L. J. Stockmeyer: 1981, ‘Alternation’, JACM 28, 114–133.

    Google Scholar 

  • Ginsburg, S.: 1975, Formal Languages. North-Holland/Am. Elsevier, Amsterdam, Oxford/New York.

    Google Scholar 

  • Groenink, Annius V.: 1995a, ‘Formal Mechanisms for Left Extraposition in Dutch’, in Proceedings of the 5th CLIN (Computational Linguistics in the Netherlands) meeting, November 1994, Enschede.

  • Groenink, Annius V.: 1995b, ‘Literal Movement Grammars’, in Proceedings of the 7th EA CL Conference, University College, Dublin.

    Google Scholar 

  • Groenink, Annius V.: 1997, ‘Surface without Structure’, PhD thesis, University of Utrecht.

  • Hopcroft, J. E. and J. D. Ullman: 1979, Introduction to Automata Theory, Languages, and Computation, Addison-Wesley, Reading, Mass.

    Google Scholar 

  • Joshi, Aravind: 1985, ‘Tree Adjoining Grammars: How Much Context-Sensitivity is Required to Provide Reasonable Structural Descriptions?’ in A. Zwicky (ed.), Natural Language Parsing: Psychological, Computational and Theoretical Perspectives, Cambridge University Press, pp. 206–250.

  • Kaji, Y., R. Nakanishi, H. Seki, and T. Kasami: 1992, ‘The Universal Recognition Problems for Parallel Multiple Context-Free Grammars and for Their Subclasses’, IEICE E75-D(4), 499–508.

    Google Scholar 

  • Leermakers, René: 1993, The Functional Treatment of Parsing, Kluwer, The Netherlands.

    Google Scholar 

  • Michaelis, Jens and Marcus Kracht: 1996, Semilinearity as a syntactic invariant, Paper read at the Logical Aspects of Computational Linguistics Conference, Nancy, 23–25 September.

  • Manaster-Ramer, Alexis: 1987, ‘Dutch as a Formal Language’, Linguistics and Philosophy 10, 221–246.

    Google Scholar 

  • Pollard, Carl J.: 1984, Generalized Phrase Structure Grammars, Head Grammars, and Natural Language, PhD thesis, Stanford University.

  • Radzinski, Daniel: 1991, ‘Chinese Number-Names, Tree Adjoining Languages, and Mild Context-Sensitivity’, Computational Linguistics 17(3), 277–299.

    Google Scholar 

  • Rounds, William C.: 1988, ‘LFP: A Logic for Linguistic Descriptions and an Analysis of its Complexity’, Computational Linguistics 14(4), 1–9.

    Google Scholar 

  • Seki, Hiroyuki, Takashi Matsumura, Mamoru Fujli, and Tadao Kasami: 1991, ‘On Multiple Context-Free Grammars’, Theoretical Computer Science 88, 191–229.

    Google Scholar 

  • Vijay-Shanker, K.: 1987, A Study of Tree Adjoining Grammars, PhD thesis, Univ. of Pennsylvania.

  • Vijay-Shanker, K. and D. J. Weir: 1994, ‘The Equivalence of Four Extensions of Context-Free Grammar’, Math. Systems Theory 27, 511–546.

    Google Scholar 

  • Weir, David J.: 1988, Characterizing Mildly Context-Sensitive Grammar Formalisms, PhD thesis, University of Pennsylvania.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Groenink, A.V. Mild Context-Sensitivity and Tuple-Based Generalizations of Context-Grammar. Linguistics and Philosophy 20, 607–636 (1997). https://doi.org/10.1023/A:1005376413354

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1005376413354

Keywords

Navigation