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Function composition

MORPHOLOGY: an algebraic notion which DiSciullo & Williams (1987) adopt from Categorial Grammar to account for an important difference between compounding and affixation. In compounding the non-head satisfies a theta-role of the head. The non-head of a complex word headed by an affix, however, does not satisfy a theta-role of the affix; rather the affix and the stem form a composed argument structure. In order to be able to relate the argument structure of an affixal head to its non-head, they propose that suffixes are functors with respect to their complements. EXAMPLE: the English adjective complete has a Theme as its the external argument, and the nominal suffix -ness the "degree" argument R, as in (i). Since -ness is assumed to be a functor, function composition yields the composed argument structure in (ii):

(i) complete	-ness		=>	(ii)	completeness
    (Th)	(R)				((Th) R)

LIT. Di Sciullo, A. M. and E. Williams (1987)
Spencer, A. (1991)