Scope Dominance with Monotone Quantifiers over Finite Domains

Abstract
We characterize pairs of monotone generalized quantifiers Q 1 and Q 2 over finite domains that give rise to an entailment relation between their two relative scope construals. This relation between quantifiers, which is referred to as scope dominance, is used for identifying entailment relations between the two scopal interpretations of simple sentences of the form NP1–V–NP2. Simple numerical or set-theoretical considerations that follow from our main result are used for characterizing such relations. The variety of examples in which they hold are shown to go far beyond the familiar existential-universal type
Keywords Ambiguity  inference  monotonicity  natural language  quantifier  scope  under-specification
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