Learned Interventions in Lean 4 grind

תקציר מקורי באנגליתarXiv:2607.22972v1 Announce Type: new Abstract: Lean~4's \grind{} tactic combines congruence closure, \ematch{}ing, and case-splitting into a single automated solver, and like any such solver, it relies on hand-tuned heuristics to decide what to instantiate and where to case-split. These heuristics are tempting targets for learning, but there is a catch: because \grind{}'s search is non-monotone, a learned heuristic that helps one proof can break another, and an always-on replacement usually nets out near zero. We avoid this by invoking a learned intervention only after stock \grind{} has already failed: a failure-triggered cascade that, by construction, cannot lose a proof \grind{} already had. We apply it to two of \grind{}'s internal decisions. A cost-aware \ematch{} filter solves sligh