Presents directed first-order logic with asymmetric equality as relative left adjoint, polarity system for variances, and sound-complete semantics via directed doctrines; classical fragment complete in preorders.
Brookes and Michael W
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Doctrinal Semantics of Directed First-Order Logic
Presents directed first-order logic with asymmetric equality as relative left adjoint, polarity system for variances, and sound-complete semantics via directed doctrines; classical fragment complete in preorders.
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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.