Preprint
Oct 2026
Internal Languages for Thin Epsilon-Hyperdoctrines: Soundness, Completeness, and Rocq Formalization
We present a typed proof-term calculus for intuitionistic intensional first-order logic with Hilbert's epsilon-operator and prove its soundness and completeness with respect to hyperdoctrinal models with thin bicartesian closed setoid categories (BiCCCs) as fibres and formula-indexed witness selections. The calculus pr...
Z. Molnár, Csaba Tóth
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