Maximize Presupposition and Gricean reasoning

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Articulated Definiteness without Articles (2018, background): “(Heim 1990), a principle that can in turn be reduced to the effect of a Gricean quantity implicature (Schlenker 2012).”
Presuppositions and Antipresuppositions in Conditionals (2011, methodology): “In this section I will follow the formulation of Chemla 2008, though alternatives also appear in Percus 2006, Schlenker 2006, and Sauerland 2008.”
Maximize Presupposition! and local contexts (2011, methodology): “For theoretical considerations addressing this concern, see LaCasse (2008), Rothschild (2008), Schlenker (2009).”
Definiteness and determinacy (2015, background): “…associated with iota and indefinites are typically associated with ex: (i) the indefinite article is blocked by the definite article via Maximize Presupposition (Heim 1991; Schlenker 2012; Percus 2006); and (ii) type-shifting operations resulting in simpler types are preferred (Type Simplicity).”