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Theorem

theorem.dev · 1,315 words · saved by 1 readers

Most testing strategies miss rare edge cases until customers find them in production. We’ve developed a system that automatically generates targeted unit tests for rare bugs, including the one that would have caught Anthropic’s recent approximate top-K bug.

Fractional proof decomposition fuses partial evaluation and property-based testing to scale testing compute logarithmically with bug rarity, instead of linearly. Introduction Most large projects have a limited compute budget for testing, lest it slows down the CI pipeline. This means missing rare edge cases until customers find them in production. I love formal verification! And I want to bring the power of reasoning about program structure to testing. In this blog post, I will briefly introduce fractional proof decomposition, our new technique that makes testing compute scale logarithmically

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