Establishes Stone duality for monads as an adjunction between ranked monads on Set and internal localic categories, with fixed points being hyperaffine-unary monads and ample localic categories.
Notions of Computation Determine Monads
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes resource-safety properties for linear effectful call-by-push-value calculi with allocation effects and exceptions via a Curry-Howard correspondence modeling destructors in slice categories.
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Stone Duality for Monads
Establishes Stone duality for monads as an adjunction between ranked monads on Set and internal localic categories, with fixed points being hyperaffine-unary monads and ample localic categories.
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Linear effects, exceptions, and resource safety: a Curry-Howard correspondence for destructors
Establishes resource-safety properties for linear effectful call-by-push-value calculi with allocation effects and exceptions via a Curry-Howard correspondence modeling destructors in slice categories.