Scalar implicature as a grammatical phenomenon

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Children interpret disjunction as conjunction: Consequences for theories of implicature and child development (2016, unknown): “…exhaustive operator exh, essentially an unrealized variant of only, and suggests that the strengthening mechanism STR should be identified with grammatical exhaustivity – that is, with (possibly recursive) application of exh (see also Chierchia 2006, Chierchia et al. 2012, and much other work).”
Pragmatic reasoning through semantic inference (2016, background): “In particular, it has been argued that they provide evidence that certain implicatures must be computed locally in the grammar, through the use of an exhaustivity operator (Chierchia et al., 2012).”