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Remarks on binding theory
(2005)
We propose some reformulations of binding principle A that build on recent work by Pollard and Xue, and by Runner et al. We then turn to the thorny issue of the status of indices, in connection with the seemingly simpler Principle B. We conclude that the notion of index is fundamentally incoherent, and suggest some possible approaches to eliminating them as theoretical primitives. One possibility is to let logical variables take up the explanatory burden borne by indices, but this turns out to be fraught with difficulties. Another approach, which involves returning to the idea that referentially dependent expressions denote identity functions (as proposed, independently, by Pollard and Sag and by Jacobson) seerms to hold more promise.
In this paper, we use lattice theory to present an account of neutralization and coordination of unlikes that can easily be incorporated into current HPSG, where linguistic objects are modelled as totally well-typed, sort resolved feature structures. The account draws on the analysis of Levy 2001 and is consistent with the HPSG analysis of neutralization proposed by Levine et al. 2001. We show the essential properties required of a coordination/neutralization lattice, and argue that our analysis is the minimal lattice satisfying these requirements. The HPSG-based account of the same phenomena presented in Daniels 2001 of this collection is shown by lattice-theoretic methods to be essentially equivalent to ours.