Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.
Journal of Automated Reasoning , volume =
2 Pith papers cite this work, alongside 13 external citations. Polarity classification is still indexing.
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Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.
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Duality theory for categorical theories
Generalizes categorical theories to coherent theories and proves a duality identifying the 2-category of categorical pretopoi with profinite monoids, further realizing the latter as a full sub-2-category of topoi via classifying topos.
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Constructive higher sheaf models with applications to synthetic mathematics
Develops constructive higher sheaf models of type theory to support synthetic mathematics with univalence and higher inductive types.