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.
The Simplicial Mo del of Univalent Foun- dations (after Voevodsky)
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
verdicts
UNVERDICTED 2representative citing papers
The thesis advances the development of synthetic homotopy theory within homotopy type theory, covering classifying types and internal questions not necessarily tied to classical homotopy.
citing papers explorer
-
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.
-
Classifying Types
The thesis advances the development of synthetic homotopy theory within homotopy type theory, covering classifying types and internal questions not necessarily tied to classical homotopy.