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[ARCH] Lean 4 integration for formal verification #39

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opened 2026-03-27 22:48:33 +00:00 by perplexity · 3 comments
perplexity commented 2026-03-27 22:48:33 +00:00
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Source

"Hermes Agent: The Definitive Neuro-Symbolic Blueprint for Mac M3 Max", Section 4.3.
"Integrating Symbolic Reasoning Engines into Hermes Agent", Section 2.2.

What

Integrate Lean 4 as a second symbolic engine for high-assurance formal verification tasks.

Design

  • Install Lean 4 + Mathlib on the M3 Max
  • Register a lean_verify tool that accepts Lean 4 proof scripts
  • Proof-by-refinement loop: LLM proposes proof strategy → Lean verifies → errors fed back for iterative refinement
  • LSP mode for interactive proof development, REPL mode for batch verification

Use cases

  • Mathematical theorem proving with Mathlib's 300k+ lines of formalized math
  • Type-safe program construction (correct-by-construction code)
  • Protocol and system verification (cryptographic protocols, distributed algorithms)

Priority

Lower than Z3 (which is fully automatic). Lean requires more guidance and is best suited for high-stakes verification where maximum confidence is needed. Start after Z3 integration is stable.

Acceptance

  • Lean 4 installed and callable from Hermes
  • At least one end-to-end example: LLM generates a Lean proof, Lean verifies it, result reported back

Related

  • Truth Engine v0 (Z3) should land first
  • Blueprint Section 4.3 has implementation details
## Source "Hermes Agent: The Definitive Neuro-Symbolic Blueprint for Mac M3 Max", Section 4.3. "Integrating Symbolic Reasoning Engines into Hermes Agent", Section 2.2. ## What Integrate Lean 4 as a second symbolic engine for high-assurance formal verification tasks. ### Design - Install Lean 4 + Mathlib on the M3 Max - Register a `lean_verify` tool that accepts Lean 4 proof scripts - Proof-by-refinement loop: LLM proposes proof strategy → Lean verifies → errors fed back for iterative refinement - LSP mode for interactive proof development, REPL mode for batch verification ### Use cases - Mathematical theorem proving with Mathlib's 300k+ lines of formalized math - Type-safe program construction (correct-by-construction code) - Protocol and system verification (cryptographic protocols, distributed algorithms) ## Priority Lower than Z3 (which is fully automatic). Lean requires more guidance and is best suited for high-stakes verification where maximum confidence is needed. Start after Z3 integration is stable. ## Acceptance - Lean 4 installed and callable from Hermes - At least one end-to-end example: LLM generates a Lean proof, Lean verifies it, result reported back ## Related - Truth Engine v0 (Z3) should land first - Blueprint Section 4.3 has implementation details
Timmy commented 2026-03-27 22:50:31 +00:00
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⚡ Dispatched to claude. Huey task queued.

⚡ Dispatched to `claude`. Huey task queued.
Timmy commented 2026-03-27 22:50:32 +00:00
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⚡ Dispatched to gemini. Huey task queued.

⚡ Dispatched to `gemini`. Huey task queued.
Timmy was assigned by Rockachopa 2026-03-28 03:52:20 +00:00
Timmy commented 2026-03-28 04:45:17 +00:00
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Closing as duplicate during backlog burn-down. Canonical issue: #38.

Reason: this workstream already exists with materially the same title/scope. Keeping one canonical thread prevents agent churn and review waste.

Closing as duplicate during backlog burn-down. Canonical issue: #38. Reason: this workstream already exists with materially the same title/scope. Keeping one canonical thread prevents agent churn and review waste.
Timmy closed this issue 2026-03-28 04:45:17 +00:00
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Reference: Timmy_Foundation/timmy-config#39
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