A Note On Higher Order Grammar

Details A Note On Higher Order Grammar A Note On Higher Order Grammar

2009-10-03

arxiv.org/abs/0910.0537v1

Computer Science

Computation and Language

7 pages in single-spaced pdf format

Scientific paper

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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