How to manage and track swarm-based proof generation across multiple projects

How to manage and track swarm-based proof generation across multiple projects

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Open Gauss is an open-source Lean 4 workflow orchestrator that manages multi-agent theorem proving sessions per project. It wraps lean4-skills workflows in a Gauss-native CLI, handling project setup, backend sessions, and swarm tracking for advanced formal verification work.

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What to expect from an ideal product

  1. Set up isolated project environments through the Gauss-native CLI that automatically handles backend session management and keeps proof generation work organized across different theorem proving projects
  2. Track multiple agent activities in real-time using built-in swarm monitoring that shows which provers are working on what theorems and their current progress status
  3. Coordinate proof generation tasks by distributing them across available agents in the swarm while maintaining project boundaries and preventing work overlap
  4. Monitor completion rates and bottlenecks through the workflow orchestrator's dashboard that displays proof generation metrics and identifies which projects need more resources
  5. Manage dependencies between related proofs by linking theorem proving sessions so agents can build on completed work from other projects without duplicating efforts

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