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Sheaves as oracle computations - Rocq formalization

Authors: Bauer, Andrej; Ahman, Danel;

Sheaves as oracle computations - Rocq formalization

Abstract

This archive contains a Rocq formalization accompanying the paper "Sheaves as oracle computations" by Danel Ahman and Andrej Bauer, presented at Formal Structures for Computation and Deduction (FSCD) 2026. It covers Sections 2-4 of the paper: containers, modalities and oracle modalities, instance reducibility, sheaves for oracle modalities, sheafification as a quotient-inductive type, and equifoliate trees together with their descent map to the sheafification. Section 5 (realizability) is not formalized.

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