1. Anthropic top‑K bug testing post (Oct 7, 2025)
- Theorem demonstrates how fractional proof decomposition could have produced a unit test to catch a reported approximate top‑K issue, emphasizing compute efficiency and systematic decomposition.
- Critical evaluation: This is a vendor-published demonstration and not a third-party replication. It shows test generation logic around a known incident rather than a blinded benchmark.
2. lf-lean verified translation project (Feb 5, 2026)
- Theorem reports a verified translation of over a thousand statements from Logical Foundations from Rocq to Lean, with a small amount of human effort (on the order of a few person-days) versus an internal estimate of multiple person-years of manual work, reported as a large, orders-of-magnitude speed-up, using a pipeline called rocq-dove and task-level specification generators.
- Critical evaluation: The post is detailed and technical, but:
- The speed-up relies on an internal estimate of human effort; methodology and assumptions may vary.
- This work is a proof/code translation setting and is not directly equivalent to verifying production C/C++/Rust systems code.
- The example provides stronger evidence than a generic marketing page because it outlines a verification pipeline and evaluation framing, but independent replication would increase confidence.