Research on Language and Computation

, Volume 3, Issue 2–3, pp 391–410 | Cite as

Features Moving Madly: A Formal Perspective on Feature Percolation in the Minimalist Program

Abstract

I show that adding a mechanism of feature percolation (via specifier head agreement) to Minimalist Grammars (MGs) [Stabler (1997) In Retore C. (ed.) Logical Aspects of Computational Linguistics, Springer Verlag (Lecture Notes in Computer Science 1328), NY, pp. 68–95] takes them out of the class of context-sensitive grammar formalisms. The main theorem of the paper is that adding a mechanism of feature percolation to MGs allows them to implement infinite abaci [Lambek (1961), Canadian Mathematical bulletin 4, pp. 259–302], which can simulate any Turing Machine computation. As a simple corollary, I show that, for any computable \(f\!:\mathbb{N} \rightarrow \mathbb{N}\), MGs thus enhanced can generate the language \(L_{a^{f(n)}} = \{ a^{f(n)} : n \in \mathbb{N}\}\).

Keywords

feature percolation infinite abacus Minimalist Grammar register machine 

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Department of LinguisticsUCLALos AngelesUSA

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