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Discontinuity in Categorial Grammar
Oleh:
Morrill, Glyn
Jenis:
Article from Journal - ilmiah internasional
Dalam koleksi:
Linguistics and Philosophy=> ada di SpringerLink 1997(vol.1) - Mutakhir; JSTOR vol. 18 no. 2 (Apr. 1995)
,
page 175-219.
Fulltext:
25001585.pdf
(4.15MB)
Isi artikel
Discontinuity refers to the character of many natural language constructions wherein signs differ markedly in their prosodic and semantic forms. As such it presents interesting demands on monostratal computational formalisms which aspire to descriptive adequacy. Pied piping, in particular, is argued by Pollard (1988) to motivate phrase structure style feature percolation. In the context of categorial grammar, Bach (1981, 1984), Moortgat (1988, 1990, 1991) and others have sought to provide categorial operators suited to disconti nuity. These attempts encounter certain difficulties with respect to model theory and/or proof theory, difficulties which the current proposals are intended to resolve. Lambek calculus is complete for interpretation by residuation with respect to the adjunction operation of groupoid algebras (Buszkowski 1986). In Moortgat and Morrill (1991) it is shown how to give calculi for families of categorial operators, each defined by residuation with respect to an operation of prosodic adjunction (associative, non-associative, or with interactive axioms). The present paper treats discontinuity in this way, by residuation with respect to three adjunctions: + (associative), (.,.) (split-point marking), and W (wrapping) related by the equation s1 + s2 + s3 = (S1, s3)Ws2. We show how the resulting methods apply to discontinuous functors, quantifier scope and quantifier scope ambiguity, pied piping, and subject and object antecedent reflexivisation.
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