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We discuss the modal uses of the Hausa exclusive particle sai (≈ only). We argue that the distribution of sai in modal environments provides evidence for the following claims on the composition of modal meaning that have been independently made in the literature: i) Future-oriented modality involves a prospective aspect operator that can be realized covertly in some languages (e.g. English, Kratzer 2012b) and overtly in others (e.g. Gitksan, Matthewson 2012, 2013). ii) Necessity interpretations arise from exhaustifying possibilities, i.e. an exhaustivity operator applying to existential modality (e.g. Kaufmann 2012 for the case of imperatives and Leffel 2012 for a relevant analysis of necessity meaning in Masalit). We show that future-oriented necessity in Hausa decomposes into EXH((PROSP)), with sai contributing exhaustivity.
Languages vary in whether or not their future markers are compatible with non-future modal readings (Tonhauser, 2011b). The present paper proposes that this Variation is determined by the aspectual architecture of a given language, more precisely if and how aspects can be stacked. Building on recent accounts of the temporal interpretation of modals (Matthewson, 2012, 2013; Kratzer, 2012; Chen et al., ta), the paper first sketches an analysis of the temporal readings of the English future marker will and then provides cross-linguistic comparison with a selected, typologically diverse set of languages (Medumba, Hausa, Gitksan, and Greek).