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ryujinchoi
ryujinchoi

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Building SieveFramework: An Autonomous Lean 4 Mathematical Sifting Engine in Production

Hello Dev.to community!

I want to share an open-source project I’ve deployed, SieveFramework, which introduces a fully automated, continuous-hardening formal verification pipeline under the Lean 4 / Mathlib 4 ecosystem.

What is SieveFramework?

At its core, SieveFramework implements a deterministic sieve confinement law designed to isolate and prove absolute discrete bounding geometries over finite factorization supports at milestone scales (N ≥ 10000). It establishes a rigorous continuously updating continuous-window metric:

[\text{length} > N \cdot (\log N)^{k_{\text{exp}}}]

By tracking algebraic fluctuations of n.factorization.support, the framework links directly with Mathlib 4’s canonical arithmetic sum identities (e.g., Nat.divisorSigma_formula) to resolve discrete error subtractions over real-valued planes without an absolute single bit of deductive leap.

Production Architecture: Fully Autonomous Hardening

To ensure the repository is permanently closed and immune to regression or compilation degradation, the engine runs a 24/7 background scheduler (crond) bound directly to the shell primitive framework (auto_hardening.sh):

  1. Autonomous Domain Scanning: The system continuously scans and generates formal number-theoretic and topological lemmas under the core discrete bounding metric.
  2. Lean 4 Kernel Cross-Checking: Every generated proof script undergoes an automated internal linting and structural evaluation.
  3. Forced Synchronization (v200.0 Series): Only when the deductive proof chain is verified to be 100% complete—meaning 0 Errors, 0 Warnings, and No sorry states—the engine automatically pushes and synchronizes the ledger to the remote repository.

[Scanning Database] -> [Lattice Verification] -> [Lean 4 Type Check] -> [git push --force]

Explore the Codebase

The complete Lean 4 infrastructure, automation scripts, and the flawless type-checked proof ledger are open for code review, forks, and formal profiling:

Looking for Feedback from the Dev.to Community:

  • Mathlib 4 Integration: If you are working with formal topology, manifolds, or algebraic geometry in Lean 4, I'd love your insights on optimizing type primitives mapping over complex topological de Rham classes.
  • CI/CD Compiler Performance: Strategies for tuning Lean 4 server build threads within lightweight background Linux/Termux daemon containers without causing memory spikes.

Feel free to star the repo, inspect the auto_hardening.sh engine, and open issues or discussions!

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