feat: Elementarized tactics with motives, congruence, and absurdity #72
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@ -98,7 +98,8 @@ Brings into scope a list of goals
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-/
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protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except String GoalState :=
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if ¬ (goals.all (λ goal => state.mvars.contains goal)) then
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.error s!"Goals not in scope"
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let invalid_goals := goals.filter (λ goal => ¬ state.mvars.contains goal) |>.map (·.name.toString)
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.error s!"Goals {invalid_goals} are not in scope"
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else
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-- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
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let unassigned := goals.filter (λ goal =>
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@ -32,7 +32,7 @@ def instantiatePartialDelayedMVars (e: Expr): MetaM Expr := do
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def instantiateAll (e: Expr): MetaM Expr := do
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let e ← instantiateMVars e
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let e ← unfoldAuxLemmas e
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let e ← instantiatePartialDelayedMVars e
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--let e ← instantiatePartialDelayedMVars e
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return e
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--- Input Functions ---
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@ -101,6 +101,7 @@ partial def serializeSortLevel (level: Level) (sanitize: Bool): String :=
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| _, .zero => s!"{k}"
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| _, _ => s!"(+ {u_str} {k})"
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/--
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Completely serializes an expression tree. Json not used due to compactness
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@ -109,7 +110,37 @@ A `_` symbol in the AST indicates automatic deductions not present in the origin
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partial def serializeExpressionSexp (expr: Expr) (sanitize: Bool := true): MetaM String := do
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self expr
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where
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self (e: Expr): MetaM String :=
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delayedMVarToSexp (e: Expr): MetaM (Option String) := do
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let .mvar mvarId := e.getAppFn | return .none
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let .some decl ← getDelayedMVarAssignment? mvarId | return .none
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let mvarIdPending := decl.mvarIdPending
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-- Print the function application e. See Lean's `withOverApp`
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let args := e.getAppArgs
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-- Not enough arguments to instantiate this
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if args.size < decl.fvars.size then
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return .none
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let callee ← self $ ← instantiateMVars $ .mvar mvarIdPending
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let sites ←
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decl.fvars.zip args |>.mapM (λ (fvar, arg) => do
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let fvarName := Expr.fvarId! fvar |>.name
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return s!"({toString fvarName} {← self arg})"
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)
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let tailArgs ← args.toList.drop decl.fvars.size |>.mapM self
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let sites := " ".intercalate sites.toList
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let result := if tailArgs.isEmpty then
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s!"(:subst {callee} {sites})"
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else
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let tailArgs := " ".intercalate tailArgs
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s!"((:subst {callee} {sites}) {tailArgs})"
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return .some result
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self (e: Expr): MetaM String := do
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if let .some result ← delayedMVarToSexp e then
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return result
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match e with
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| .bvar deBruijnIndex =>
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-- This is very common so the index alone is shown. Literals are handled below.
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@ -88,11 +88,11 @@ def test_tactic : IO LSpec.TestSeq :=
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vars := #[{ name := "_uniq.10", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}],
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}
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let goal2: Protocol.Goal := {
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name := "_uniq.17",
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name := "_uniq.14",
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target := { pp? := .some "x ∨ y → y ∨ x" },
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vars := #[
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{ name := "_uniq.10", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }},
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{ name := "_uniq.16", userName := "y", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}
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{ name := "_uniq.13", userName := "y", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}
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],
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}
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subroutine_runner [
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@ -263,7 +263,7 @@ def test_partial_continuation: TestM Unit := do
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-- Continuation should fail if the state does not exist:
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match state0.resume coupled_goals with
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| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals not in scope")
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| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals [_uniq.40, _uniq.41, _uniq.38, _uniq.47] are not in scope")
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| .ok _ => addTest $ assertUnreachable "(continuation failure)"
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-- Continuation should fail if some goals have not been solved
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match state2.continue state1 with
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|
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@ -243,9 +243,10 @@ def test_or_comm: TestM Unit := do
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addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone
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let state2parent ← serializeExpressionSexp state2.parentExpr?.get! (sanitize := false)
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-- This is due to delayed assignment
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let substHead := "((:c Or.casesOn) (:fv _uniq.10) (:fv _uniq.13) (:lambda t._@._hyg.26 ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:forall h ((:c Eq) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16) 0) ((:c Or) (:fv _uniq.13) (:fv _uniq.10)))) (:fv _uniq.16) (:lambda h._@._hyg.27 (:fv _uniq.10) (:subst (:lambda h._@._hyg.28 ((:c Eq) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16) ((:c Or.inl) (:fv _uniq.10) (:fv _uniq.13) (:fv _uniq.47))) (:subst (:subst (:mv _uniq.59) (_uniq.54 (:fv _uniq.16)) (_uniq.55 (:fv _uniq.50))) (_uniq.50 0))) (_uniq.47 0))) (:lambda h._@._hyg.29 (:fv _uniq.13) (:subst (:lambda h._@._hyg.30 ((:c Eq) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16) ((:c Or.inr) (:fv _uniq.10) (:fv _uniq.13) (:fv _uniq.60))) (:subst (:subst (:mv _uniq.72) (_uniq.67 (:fv _uniq.16)) (_uniq.68 (:fv _uniq.63))) (_uniq.63 0))) (_uniq.60 0))))"
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let extra := "((:c Eq.refl) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16)))"
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addTest $ LSpec.test "(2 parent)" (state2parent ==
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"((:mvd _uniq.43) (:fv _uniq.16) ((:c Eq.refl) ((:c Or) (:fv _uniq.10) (:fv _uniq.13)) (:fv _uniq.16)))")
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s!"((:subst {substHead} (_uniq.41 (:fv _uniq.16))) {extra}")
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let state3_1 ← match ← state2.tryTactic (goalId := 0) (tactic := "apply Or.inr") with
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| .success state => pure state
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@ -769,13 +770,34 @@ def test_nat_zero_add_alt: TestM Unit := do
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| other => do
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addTest $ assertUnreachable $ other.toString
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return ()
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let state2b ← match state3m2.resume (state3m2.goals ++ state2.goals) with
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addTest $ LSpec.check tactic $ state3m2.goals.map (·.name.toString) = ["_uniq.85", "_uniq.86", "_uniq.84"]
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let [_motive, _major, _step, conduit] := state2.goals | panic! "Goals conflict"
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let state2b ← match state3m2.resume [conduit] with
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| .ok state => pure state
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| .error e => do
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addTest $ assertUnreachable e
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return ()
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addTest $ LSpec.check "resume" ((← state2b.serializeGoals (options := ← read)).map (·.devolatilizeVars) =
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#[buildGoal [("n", "Nat"), ("t", "Nat"), ("h", "Nat.below t")] "t + 0 = t"])
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let cNatAdd := "(:c HAdd.hAdd) (:c Nat) (:c Nat) (:c Nat) ((:c instHAdd) (:c Nat) (:c instAddNat))"
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let cNat0 := "((:c OfNat.ofNat) (:c Nat) (:lit 0) ((:c instOfNatNat) (:lit 0)))"
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let fvN := "_uniq.63"
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addTest $ LSpec.check "resume" ((← state2b.serializeGoals (options := { ← read with printExprAST := true })) =
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#[
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{
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name := "_uniq.70",
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userName? := .some "conduit",
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target := {
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pp? := .some "?m.79 ?m.68 = (n + 0 = n)",
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sexp? := .some s!"((:c Eq) (:sort 0) (:subst ((:c Eq) (:mv _uniq.84) (:mv _uniq.85) (:mv _uniq.86)) (_uniq.77 (:mv _uniq.68))) ((:c Eq) (:c Nat) ({cNatAdd} (:fv {fvN}) {cNat0}) (:fv {fvN})))",
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},
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vars := #[{
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name := fvN,
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userName := "n",
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type? := .some { pp? := .some "Nat", sexp? := .some "(:c Nat)" },
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isInaccessible? := .some false
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}],
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}
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])
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def suite (env: Environment): List (String × IO LSpec.TestSeq) :=
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let tests := [
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|
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