Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models
A foundry is an organized sheaf of knowledge that carries within it an argumentation component. Concrete foundries are built from generic foundries such as evidence/argument, operational decision, institutional/financial, market meaning, scientific challenge, research-program, assistant-build, and evaluation-harness foundries. Universal Foundry Learning (UFL) formalizes foundry construction as a composition of left and right Kan extensions, with left Kan extension rolling local artifacts into candidate foundries and right Kan extension enforcing the restriction, gluing, obstruction, and argumentation conditions required for promotion.
- ▪A foundry is an organized sheaf of knowledge that carries within it an argumentation component.
- ▪Concrete foundries are built from generic foundries such as evidence/argument, operational decision, institutional/financial, market meaning, scientific challenge, research-program, assistant-build, and evaluation-harness foundries.
- ▪Universal Foundry Learning (UFL) formalizes foundry construction as a composition of left and right Kan extensions, with left Kan extension rolling local artifacts into candidate foundries and right Kan extension enforcing the restriction,
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Computer Science > Artificial Intelligence arXiv:2606.27593 (cs) [Submitted on 25 Jun 2026] Title:Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models Authors:Sridhar Mahadevan View a PDF of the paper titled Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models, by Sridhar Mahadevan View PDF HTML (experimental) Abstract:We introduce a categorical framework called ODYSSEY for constructing verifiable, local truth-preserving foundation models as compositions of foundries: building-block architectural components that specify a cover of local contexts, local representation families, restriction maps, gluing rules, obstruction policies, update obligations, and human-facing views.
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