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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Phonological Interpretation into Preordered Algebras
verfasst von : Yusuke Kubota, Carl Pollard
Erschienen in: The Mathematics of Language
Verlag: Springer Berlin Heidelberg
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We propose a novel architecture for categorial grammar that clarifies the relationship between semantically relevant combinatoric reasoning and semantically inert reasoning that only affects surface-oriented phonological form. To this end, we employ a level of
structured phonology
that mediates between syntax (abstract combinatorics) and phonology proper (strings). To notate structured phonologies, we employ a lambda calculus analogous to the
φ
-terms of [8]. However, unlike Oehrle’s purely equational
φ
-calculus, our phonological calculus is
inequational
, in a way that is strongly analogous to the functional programming language LCF [10]. Like LCF, our phonological terms are interpreted into a Henkin frame of posets, with degree of definedness (’height’ in the preorder that interprets the base type) corresponding to degree of pronounceability; only maximal elements are actual strings and therefore fully pronounceable. We illustrate with an analysis (also new) of some complex constituent-order phenomena in Japanese.