Contravariant families in simplicial HoTT supply proof-relevant expansion, yielding directed Boolean canonicity and a binary parametricity model over reduction-aware syntax.
Electronic Notes in Theoretical Computer Science 276 (2011), 263–289
2 Pith papers cite this work, alongside 32 external citations. Polarity classification is still indexing.
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Decalf equips types with an intrinsic preorder so that cost bounds for effectful programs become ordinary programs, extending Calf to probabilistic choice and other effects, with a model in augmented simplicial sets.
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Directed proof-relevant logical relations in simplicial HoTT
Contravariant families in simplicial HoTT supply proof-relevant expansion, yielding directed Boolean canonicity and a binary parametricity model over reduction-aware syntax.
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Decalf: A Directed, Effectful Cost-Aware Logical Framework
Decalf equips types with an intrinsic preorder so that cost bounds for effectful programs become ordinary programs, extending Calf to probabilistic choice and other effects, with a model in augmented simplicial sets.