Well-nestedness properly subsumes strict derivational minimalism

  • Authors:
  • Makoto Kanazawa;Jens Michaelis;Sylvain Salvati;Ryo Yoshinaka

  • Affiliations:
  • National Institute of Informatics, Tokyo, Japan;Bielefeld University, Bielefeld, Germany;INRIA Bordeaux-Sud-Ouest, Talence, France;Japan Science and Technology Agency, Sapporo, Japan

  • Venue:
  • LACL'11 Proceedings of the 6th international conference on Logical aspects of computational linguistics
  • Year:
  • 2011

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Abstract

Minimalist grammars (MGs) constitute a mildly context-sensitive formalism when being equipped with a particular locality condition (LC), the shortest move condition. In this format MGs define the same class of derivable string languages as multiple context-free grammars (MCFGs). Adding another LC to MGs, the specifier island condition (SPIC), results in a proper subclass of derivable languages. It is rather straightforward to see this class is embedded within the class of languages derivable by some well-nested MCFG (MCFGwn). In this paper we show that the embedding is even proper. We partially do so adapting the methods used in [13] to characterize the separation of MCFGwn- languages from MCFG-languages by means of a "simple copying" theorem. The separation of strict derivational minimalism from well-nested MCFGs is then characterized by means of a "simple reverse copying" theorem. Since for MGs, well-nestedness seems to be a rather ad hoc restriction, whereas for MCFGs, this holds regarding the SPIC, our result may suggest we are concerned here with a structural difference between MGs and MCFGs which cannot immediately be overcome in a nonstipulated manner.