Locality and the complexity of minimalist derivation tree languages

  • Authors:
  • Thomas Graf

  • Affiliations:
  • Department of Linguistics, University of California, Los Angeles

  • Venue:
  • FG'10/FG'11 Proceedings of the 15th and 16th international conference on Formal Grammar
  • Year:
  • 2010

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Abstract

Minimalist grammars provide a formalization of Minimalist syntax which allows us to study how the components of said theory affect its expressivity. A central concern of Minimalist syntax is the locality of the displacement operation Move. In Minimalist grammars, however, Move is unbounded. This paper is a study of the repercussions of limiting movement with respect to the number of slices a moved constituent is allowed to cross, where a slice is the derivation tree equivalent of the phrase projected by a lexical item in the derived tree. I show that this locality condition 1) has no effect on weak generative capacity 2) has no effect on a Minimalist derivation tree language's recognizability by top-down automata 3) renders Minimalist derivation tree languages strictly locally testable, whereas their unrestricted counterparts aren't even locally threshold testable.