LAX launches to bridge natural math language and Lean, but looks a lot like existing tool span

lpachter · x · 2026-09-18

LAX launched as a tool connecting natural mathematical language with Lean, demoing definitions of complexity classes and formalizations such as nondeterministic space being closed under complement.

But lpachter (of pachterlab) noted it looks polished yet very similar to his lab's open-source span. span indexes raw Lean 4 declarations, parses a LaTeX paper's \label commands, and aligns paper objects with Lean declarations via a JSON ledger that records which declarations realize each object and whether they're formalized. It derives dependency graphs deterministically from the labeled LaTeX, Lean source, and ledger, shipping as both a CLI and Python library — raising the question of homogeneity in the math-formalization tooling space.

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