Contravariant families in simplicial HoTT supply proof-relevant expansion, yielding directed Boolean canonicity and a binary parametricity model over reduction-aware syntax.
Mathematical Structures in Computer Science 7, 5 (Oct
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Constructs powerdomains in synthetic domain theory that give computationally adequate models of nondeterminism and embed into dependent type theory.
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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Powerdomains and nondeterminism in synthetic domain theory
Constructs powerdomains in synthetic domain theory that give computationally adequate models of nondeterminism and embed into dependent type theory.
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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.