Formal Foundry
Proof-assistant-backed infrastructure for AI-assisted formalization.
Homepage highlights
- MLTTDB — A typed operational term-store system for proof-assistant workflows.
- State Machine Studio — A modeling surface for hierarchical state machines and formalization workflows.
- Codex Scribe — Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
- A Cubical Path from Algebra to Analysis — TYPES 2026 work on constructive real analysis and algebraic foundations in Cubical Agda.
- Formal Foundry Whitepaper — The older company whitepaper on formal methods, proof assistants, and AI systems.
- Implementation Towers — Agda formalization work around abstraction layers, implementations, observability, liveness, migration, instrumentation, runtime protocols, and control.
- NextGen Sustainability 2026 —
- UR AI Summit 2026 —
- SpaceShield Summit 2026 —
- Milipol Innovation Award 2025 —
MLTTDB
Modular item store
FSM Studio
Modality-specific state machines
Codex Scribe
Streamlined formalisation platform
Watch how
00:00 / 03:18
You can formalize complex rules to enforce compliance under regime of mathematical proof.
NextGen Sustainability 2026
UR AI Summit 2026
SpaceShield Summit 2026
Milipol Innovation Award 2025
2026
A Cubical Path from Algebra to Analysis
Formal Foundry Research Group
Abstract—We connect algebraic interfaces to constructive analysis in Cubical Agda, tracing a path through ordered rings, premetric spaces, completions, continuity, and real-number infrastructure. The work demonstrates how informal mathematical intent can be decomposed into reusable checked components that support later high-stakes formalization work. It also shows how reusable real-number components can carry definitions across a larger development.
Index Terms—formal methods, proof assistants, verified systems, typed artifacts
2025
Formal Foundry Whitepaper
Formal Foundry Research Group
Abstract—A position paper on AI-assisted formalization where proof assistants remain the deterministic checking boundary. It frames AI as an accelerator for drafting, search, and translation, while formal definitions and checked proofs provide the audit trail needed for large-scale correctness in complex intelligent systems. The emphasis is not automation alone, but a reviewable boundary where generated candidates become trustworthy artifacts only after deterministic checking.
Index Terms—formal methods, proof assistants, verified systems, typed artifacts
2026
Implementation Towers
Formal Foundry Research Group
Abstract—A framework for layered implementations with safe domains, observability, liveness, migration, and runtime protocol evidence. The formalization treats concrete systems as partial implementations of abstract ones, then asks which states, traces, controllers, and migration paths preserve the intended checked behavior. This makes architecture questions concrete: which states are safe, which arrows can run, and which migrations preserve evidence across layers.
Index Terms—formal methods, proof assistants, verified systems, typed artifacts
Autonomy
- invariants
- protocols
- fail states
Legal
- definitions
- jurisdiction
- obligations
Clinical
- contraindications
- eligibility
- safety rules
Tax
- exemptions
- nexus
- credits
Code
- specifications
- proofs
- regression constraints
Policy
- eligibility
- thresholds
- public systems
