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On multidominance and linearization

de Vries, M. (2009). Biolinguistics, 3, 344–403

Merge applies to roots and to terms alike, so a term can be remerged inside its own root, internal remerge, which is movement, or with another root, external remerge, which is sharing (§2). PF traverses the resulting graph and pronounces a remerged node once: at its highest position when it moved, and at its last when it is shared. De Vries's spell-out of remerged nodes, (56), linearizes a node with several parents when no parent dominates the current one and either every parent has been traversed or the current parent dominates every parent not yet traversed; his algorithm (71) implements it by indexing each node when it is visited.

Implementation notes

  • A remerged node stands at each of its occurrences in a linearized syntactic object; its parents are the terms it is a daughter of, and dominance between them is proper containment. Where a figure has an unlabelled daughter (…) or omits the other material, as (51)–(54) do (p. 378), the example supplies tokens of its own.
  • The current parent is the parent with the highest index, as in (71). It is the parent the traversal came from as long as no node is remerged to the right of a lower position of itself, as the paper assumes in denying rightward movement (p. 345).

Errata

  • (71) indexes a node before deciding whether to linearize it, so a parent whose linearization was omitted counts as traversed. In double, α is shared by γ₁ = [g α] and γ₂ = [w α], and γ₂ by δ₁ and δ₂, with δ₁ before γ₁ before δ₂. α is linearized under γ₁, γ₂ having been traversed, and omitted, under δ₁, and again under γ₂ once δ₂ linearizes it, against the paper's requirement that only one occurrence of a linguistic object be overtly realized (p. 376).

References

The algorithm (71)

L61–69
L75–84

The examples

Double pronunciation

Internal and external remerge