This PR completes the new pattern matching and unification procedures for the symbolic simulation framework using a two-phase approach. **Phase 1 (Syntactic Matching):** - Patterns use de Bruijn indices for expression variables and renamed level params for universe variables - Purely structural matching after reducible definitions are unfolded - Universe levels treat `max`/`imax` as uninterpreted functions - Proof arguments skipped via proof irrelevance - Instance and binder constraints deferred to Phase 2 **Phase 2 (Pending Constraints):** - Level constraints: structural equality with mvar assignment - Instance constraints: `isDefEqI` (full `isDefEq` for TC synthesis) - Expression constraints: `isDefEqS` with Miller pattern support - Unassigned instance pattern variables synthesized via `trySynthInstance` **`isDefEqS` (Structural DefEq):** - Miller pattern detection and assignment (`?m x y z := rhs` → `?m := fun x y z => rhs`) - Scope checking via `maxFVar` to prevent out-of-scope assignments - Optional zeta-delta reduction for let-declarations - Proof irrelevance and instance delegation to `isDefEqI` **Key optimizations:** - `abstractFVars` skips metavariables and uses `maxFVar` for early cutoff - Per-pattern `ProofInstInfo` cache for fast argument classification - Maximal sharing. |
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