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In this paper, we use lattice theory to present an account of neutralization and coordination of unlikes that can easily be incorporated into current HPSG, where linguistic objects are modelled as totally well-typed, sort resolved feature structures. The account draws on the analysis of Levy 2001 and is consistent with the HPSG analysis of neutralization proposed by Levine et al. 2001. We show the essential properties required of a coordination/neutralization lattice, and argue that our analysis is the minimal lattice satisfying these requirements. The HPSG-based account of the same phenomena presented in Daniels 2001 of this collection is shown by lattice-theoretic methods to be essentially equivalent to ours.
In Japanese, as in other classifier languages like Chinese and Malay, numerals do not directly quantize nouns, but first combine with a classifier to form a measure phrase (MP; cf. Aikhenvald 2000). From the perspective of constraint-based approaches to syntax/semantics, the mutual selective restriction between classifiers and nouns can be stated in terms of information-sharing and featural identity, to some extent parallel to the treatment of gender/number agreement (between determiner and noun, for instance) (cf. Pollard and Sag 1994; Kathol 1999). There are, however, data that challenge this line of approach to noun-classifier matching. We demonstrate in this paper that it is possible that a single noun is associated with different types of classifier, and show why they are problematic for unification-based approaches, similar to the situation with case syncretism in European languages (Ingria 1990 and others). Later in the paper, we argue that information-sharing between noun, predicate and classifier is not completely transitive, and present a formal analysis which models multiple selectional requirements with sets.