ABSTRACT This paper introduces a multi-valued variant of higher-order resolution and proves it correct and complete with respect to a variant of Henkin's general model semantics. This resolution method is parametric in the number of truth values as well as in the particular choice of the set of connectives (given by arbitrary truth tables) and even substitutional quantifiers. In the course of the completeness proof we establish a model existence theorem for this logical system. The work reported in this paper (...) provides a basis for developing higher-order mechanizations for many non-classical logics. (shrink)

The HOU-based analysis of ellipsis was shown byDalrymple et al. (1991) and Shieber et al. (1996) to correctly capture thecomplex interaction of VP-ellipsis, scope and anaphora and claimed toextend to further related phenomena. When applied to deaccenting, theanalysis makes a strong prediction, namely that all anaphors occurringin the deaccented part of a deaccented utterance are parallelanaphors, i.e., anaphors that resolve to their parallel counterpart inthe source. I argue that this prediction is supported by the data andshow that it correctly captures (...) the interaction of deaccenting withanaphora, (in)definiteness and focus. (shrink)

Both Higher-Order Uni cation approaches to In linguistic theories on discourse coherence Kehler, discourse semantics Dalrymple et al., 1991; Shieber et.