2bca310bea
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.
25 lines
656 B
Text
25 lines
656 B
Text
import Lean.Meta.Sym
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open Lean Meta Sym Grind
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set_option grind.debug true
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opaque p [Ring α] : α → α → Prop
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axiom pax [CommRing α] [NoNatZeroDivisors α] (x y : α) : p x y → p (y + 1) x
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opaque a : Int
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opaque b : Int
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def ex := p (a + 1) b
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def test : SymM Unit := do
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let pEx ← mkPatternFromTheorem ``pax
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let e ← shareCommon (← getConstInfo ``ex).value!
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let some r₁ ← pEx.match? e | throwError "failed"
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let h := mkAppN (mkConst ``pax r₁.us) r₁.args
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check h
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logInfo h
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logInfo r₁.args
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/--
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info: pax b a ?m.1
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---
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info: #[Int, instCommRingInt, instNoNatZeroDivisorsInt, b, a, ?m.1]
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-/
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#guard_msgs in
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#eval SymM.run' test
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