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Author SHA1 Message Date
Leonardo de Moura
2bca310bea
feat: efficient pattern matching and unification for the symbolic simulation framework (#11825)
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.
2025-12-29 05:18:16 +00:00