cat _posts/2026-08-29-parsimagma-a-coverage-engine-over-the-equational-theories-project-law-set.md
parsimagma: a coverage engine over the Equational Theories Project law set
parsimagma is a new public signature and coverage engine over the 4,694 equational laws of the Equational Theories Project, asking which ETP constructions cover which separations. Its central finding is that the residual is not uniformly hard: at least 411 of the 1,062 Vampire-unresolved implications have finite countermodels on 9 to 32 elements, found in seconds by a structured algebraic sweep where three SAT/SMT-style solvers all fail from carrier 11 upward. The repo also argues the published count of unresolved implications sits below a provable floor and independently reproduces corrected figures for the paper’s section 5.1.