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Bibliographic Details
Main Authors: Coquand, Thierry, Höfer, Jonas, Sattler, Christian
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.15126
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Table of Contents:
  • There have recently been several developments in synthetic mathematics using extensions of dependent type theory with univalence and higher inductive types: simplicial homotopy type theory, synthetic algebraic geometry and synthetic Stone duality. We provide a foundation of higher sheaf models of type theory in a constructive metatheory and, in particular, build constructive models of these formal systems.