The authors introduce a metric into density matrix semantics for Lambek grammar, distinguishing left and right implications and representing derivational ambiguity in separate subspaces.
Mathematical foundations for a com- positional distributional model of meaning.Lambek Festschrift, Linguistic Analysis 36(1–4), pages 345–384, 2010
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Density Matrices with Metric for Derivational Ambiguity
The authors introduce a metric into density matrix semantics for Lambek grammar, distinguishing left and right implications and representing derivational ambiguity in separate subspaces.