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Titlebook: Logic, Language, Information, and Computation; 30th International W George Metcalfe,Thomas Studer,Ruy de Queiroz Conference proceedings 202

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,Intersection Types via Finite-Set Declarations,g of intersection types based on FSDs. Notably, our translation works without needing anything like the usual troublesome intersection-introduction rule that proves a pure untyped .-term . has an intersection type . using . independent subderivations. As such, our approach is useful for language imp
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,Polyadic Quantifiers on Dependent Types,y relations and quantification in these phenomena. Then we present, in a conceptual way, the mathematics behind the process of polyadic quantification over dependent types. The main new feature is the left strength on the cartesian monad over a basic fibration of a topos. It combines with what we ca
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