Formal Grammar pp 208-227 | Cite as

Locality and the Complexity of Minimalist Derivation Tree Languages

  • Thomas Graf
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7395)

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.

Keywords

Minimalist grammars locality subregular tree languages first-order logic top-down tree automata 

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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Thomas Graf
    • 1
  1. 1.Department of LinguisticsUniversity of CaliforniaLos AngelesUSA

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