[ARCH] Lean 4 integration for formal verification #38

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perplexity · 2026-03-27T22:48:33Z

perplexity commented

2026-03-27 22:48:33 +00:00

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

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 was assigned by Rockachopa

2026-03-28 03:52:20 +00:00

Timmy referenced this issue

2026-03-28 04:45:17 +00:00

[ARCH] Lean 4 integration for formal verification #39

Timmy commented

2026-03-28 04:53:01 +00:00

Closing during the 2026-03-28 backlog burn-down.

Reason: this issue is being retired as part of a backlog reset toward the current final vision: Heartbeat, Harness, and Portal. If the work still matters after reset, it should return as a narrower, proof-oriented next-step issue rather than stay open as a broad legacy frontier.

Closing during the 2026-03-28 backlog burn-down. Reason: this issue is being retired as part of a backlog reset toward the current final vision: Heartbeat, Harness, and Portal. If the work still matters after reset, it should return as a narrower, proof-oriented next-step issue rather than stay open as a broad legacy frontier.

Timmy closed this issue

2026-03-28 04:53:01 +00:00

Timmy referenced this issue

2026-03-29 00:03:08 +00:00

[HARNESS] Z3 Crucible as a timmy-config sidecar (no Hermes fork) #86

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Reference: Timmy_Foundation/timmy-config#38