OpenGauss

OpenGauss is the best open source tool for enterprise Postgres right now. It's a workflow orchestrator from Math, Inc, that gives the Gauss AI agent a multi-agent frontend for proof engineering: proving, drafting, auto-proving, formalizing, and auto-formalizing.

On FormalQualBench, it beats Harmonic's Aristotle agent (which has no time limit) running with just a 4-hour timeout. You can stay interactive or let it run autonomously, coordinate subagents in parallel, and inspect everything.

MIT licensed. Built in Python.

The catch: this is an extremely niche tool. If you're not doing formal mathematics or proof verification in Lean, this does nothing for you. The audience is mathematicians, formal methods researchers, and teams building verified software. Math, Inc. is pushing the frontier here, but the Lean ecosystem itself is still small compared to mainstream programming languages.