Abstract

Head movement is a syntactic operation used in most generative syntactic analyses. However, its computational properties have not been extensively studied. [27] formalises head movement in the framework of Minimalist Grammars by extending the item representation to allow for easy extraction of the head. This work shows that Stabler’s representation is in fact suboptimal because it causes higher polynomial parsing complexity. A new algorithm is derived for parsing head movement and affix hopping by changing the kinds of representations that the parser deals with. This algorithm has much better asymptotic worst-case runtime of \(\mathcal {O}(n^{2k+5})\). This result makes parsing head movement and affix hopping computationally as efficient as parsing a single phrase movement.

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