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arXiv CS.AI
6/29/2026
Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models

Odyssey: Constructing Verifiable Local Truth-Preserving Foundation Models

Short summary

Researchers introduce ODYSSEY, a categorical framework for building verifiable foundation models through composable 'foundries' that specify local contexts, representation families, and truth conditions. The system uses Kan extensions from category theory and provides FSQL for querying. Being presented at ICML 2026.

  • •New categorical framework for constructing verifiable, truth-preserving foundation models
  • •Uses foundries as compositional building blocks with formal restriction and gluing rules
  • •Implemented with FSQL query language; 2.5-hour tutorial at ICML 2026

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