Dividing things up: The semantics of or and the modal/or interaction

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Children interpret disjunction as conjunction: Consequences for theories of implicature and child development (2016, unknown): “Specifically, complete or exhaustive answers are expressed with falling pitch movement, whereas partial answers are not (e.g., Zimmerman 2000).”
Focus and uninformativity in Yucatec Maya questions (2012, background): “(63) [Juan wáa anyone else ]F uk’ le sa’-o’ This interpretation for the empty disjunct is the result of grammaticalization of inferences that have been argued to hold (at least pragmatically) of ordinary disjunctions across languages (see, for example, Zimmermann 2000, Geurts 2005, and Simons 2000).”
Ellipsis Sites as Definite Descriptions (2008, methodology): “I use the two italicized words to stand for the meanings of the two VPs. (36) h s,t .h i swimming ⊕ climbing 7 This is reminiscent of proposals for the meanings of overt and and or between predicates advanced by Krifka (1990), Lasersohn (1995), Winter (1995, 2000), and Simons (2005).”
On universal Free Choice items (2010, background): “Perhaps the introduction of Excl is related to a general condition on alternatives, e.g., that they must be non-overlapping (see discussion in Zimmermann 2001; Simons 2005).”