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arXiv · 0910.0537

A Note On Higher Order Grammar

Victor Gluzberg
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Abstract

Both syntax-phonology and syntax-semantics interfaces in Higher Order Grammar (HOG) are expressed as axiomatic theories in higher-order logic (HOL), i.e. a language is defined entirely in terms of provability in the single logical system. An important implication of this elegant architecture is that the meaning of a valid expression turns out to be represented not by a single, nor even by a few "discrete" terms (in case of ambiguity), but by a "continuous" set of logically equivalent terms. The note is devoted to precise formulation and proof of this observation.

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Victor Gluzberg. 2009-10-03. A Note On Higher Order Grammar. https://arxiv.org/abs/0910.0537

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