Resolving Plural Ambiguities by Type Reconstruction
We describe a type reconstruction algorithm for a fragment of natural language. It is based on Hindley’s algorithm for simple types, but extends it with subtyping and overloading. We extend one of Montague’s fragments of English by plural noun phrases which may have several types and by overloaded verbs to allow for distributed and non-distributed readings of noun phrases and verb arguments. We demonstrate how type reconstruction can select suitable meanings of subject noun phrases depending on the meaning of verb phrases. Thus, type reconstruction enables us to handle some violations of Frege’s compositionality principle.
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