Verification

You Can Now Enforce Mathematical Proofs on Libraries You Don’t Own — And That Changes Everything

Liquid Haskell lets you enforce compile-time mathematical proofs on third-party libraries without modifying their source code. This flips the traditional power dynamic of static typing, allowing consumers to impose strict contracts on code they don’t own. It’s a pragmatic answer to supply chain risk—no forks, no waiting, just compile-time security.

Your Next Quantum Computer Could Be Lying to You. Here’s How We Catch It.

Quantum computers are becoming too powerful for classical machines to verify their work directly. New research shows that quantum proofs—a mathematical guarantee produced by the quantum computer itself—can keep these black-box supercomputers honest. Without them, we risk blindly trusting machines that could be wrong or malicious. This isn’t just theory; it’s the seatbelt for the next industrial revolution.