feat: Elementarized tactics with motives, congruence, and absurdity #72

Merged
aniva merged 41 commits from goal/mapply into dev 2024-06-12 13:52:46 -07:00
3 changed files with 89 additions and 99 deletions
Showing only changes of commit 398b1c39ed - Show all commits

View File

@ -4,6 +4,7 @@ Functions for handling metavariables
All the functions starting with `try` resume their inner monadic state.
-/
import Pantograph.Protocol
import Pantograph.Tactic
import Lean
def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
@ -144,24 +145,6 @@ protected def GoalState.assignedExprOf? (goalState: GoalState) (mvar: MVarId): O
--- Tactic execution functions ---
/-- Inner function for executing tactic on goal state -/
def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
Elab.TermElabM (Except (Array String) Elab.Tactic.SavedState):= do
let tacticM (stx: Syntax): Elab.Tactic.TacticM (Except (Array String) Elab.Tactic.SavedState) := do
state.restore
Elab.Tactic.setGoals [goal]
try
Elab.Tactic.evalTactic stx
if (← getThe Core.State).messages.hasErrors then
let messages := (← getThe Core.State).messages.getErrorMessages |>.toList.toArray
let errors ← (messages.map Message.data).mapM fun md => md.toString
return .error errors
else
return .ok (← MonadBacktrack.saveState)
catch exception =>
return .error #[← exception.toMessageData.toString]
tacticM tactic { elaborator := .anonymous } |>.run' state.tactic
/-- Response for executing a tactic -/
inductive TacticResult where
-- Goes to next state
@ -175,14 +158,35 @@ inductive TacticResult where
-- The given action cannot be executed in the state
| invalidAction (message: String)
/-- Execute tactic on given state -/
protected def GoalState.tryTactic (state: GoalState) (goalId: Nat) (tactic: String):
protected def GoalState.execute (state: GoalState) (goalId: Nat) (tacticM: Elab.Tactic.TacticM Unit):
Elab.TermElabM TacticResult := do
state.restoreElabM
let goal ← match state.savedState.tactic.goals.get? goalId with
| .some goal => pure $ goal
| .none => return .indexError goalId
goal.checkNotAssigned `GoalState.tryTactic
goal.checkNotAssigned `GoalState.execute
try
let (_, newGoals) ← tacticM { elaborator := .anonymous } |>.run { goals := [goal] }
if (← getThe Core.State).messages.hasErrors then
let messages := (← getThe Core.State).messages.getErrorMessages |>.toList.toArray
let errors ← (messages.map Message.data).mapM fun md => md.toString
return .failure errors
let nextElabState ← MonadBacktrack.saveState
let nextMCtx := nextElabState.meta.meta.mctx
let prevMCtx := state.mctx
return .success {
state with
savedState := { term := nextElabState, tactic := newGoals },
newMVars := newMVarSet prevMCtx nextMCtx,
parentMVar? := .some goal,
calcPrevRhs? := .none,
}
catch exception =>
return .failure #[← exception.toMessageData.toString]
/-- Execute tactic on given state -/
protected def GoalState.tryTactic (state: GoalState) (goalId: Nat) (tactic: String):
Elab.TermElabM TacticResult := do
let tactic ← match Parser.runParserCategory
(env := ← MonadEnv.getEnv)
(catName := if state.isConv then `conv else `tactic)
@ -190,22 +194,7 @@ protected def GoalState.tryTactic (state: GoalState) (goalId: Nat) (tactic: Stri
(fileName := filename) with
| .ok stx => pure $ stx
| .error error => return .parseError error
match ← executeTactic (state := state.savedState) (goal := goal) (tactic := tactic) with
| .error errors =>
return .failure errors
| .ok nextSavedState =>
-- Assert that the definition of metavariables are the same
let nextMCtx := nextSavedState.term.meta.meta.mctx
let prevMCtx := state.mctx
-- Generate a list of mvarIds that exist in the parent state; Also test the
-- assertion that the types have not changed on any mvars.
return .success {
state with
savedState := nextSavedState
newMVars := newMVarSet prevMCtx nextMCtx,
parentMVar? := .some goal,
calcPrevRhs? := .none,
}
state.execute goalId $ Elab.Tactic.evalTactic tactic
/-- Assumes elabM has already been restored. Assumes expr has already typechecked -/
protected def GoalState.assign (state: GoalState) (goal: MVarId) (expr: Expr):
@ -515,15 +504,6 @@ protected def GoalState.tryCalc (state: GoalState) (goalId: Nat) (pred: String):
catch exception =>
return .failure #[← exception.toMessageData.toString]
def getForallArgsBody: Expr → List Expr × Expr
| .forallE _ d b _ =>
let (innerArgs, innerBody) := getForallArgsBody b
(d :: innerArgs, innerBody)
| e => ([], e)
def collectMotiveArguments (forallBody: Expr): SSet Nat :=
match forallBody with
| .app (.bvar i) _ => SSet.empty.insert i
| _ => SSet.empty
protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recursor: String):
Elab.TermElabM TacticResult := do
@ -540,57 +520,6 @@ protected def GoalState.tryMotivatedApply (state: GoalState) (goalId: Nat) (recu
(fileName := filename) with
| .ok syn => pure syn
| .error error => return .parseError error
try
-- Implemented similarly to the intro tactic
let nextGoals: List MVarId ← goal.withContext do
let recursor ← Elab.Term.elabTerm (stx := recursor) .none
let recursorType ← Meta.inferType recursor
let (forallArgs, forallBody) := getForallArgsBody recursorType
let motiveIndices := collectMotiveArguments forallBody
--IO.println s!"{motiveIndices.toList} from {← Meta.ppExpr forallBody}"
let numArgs ← Meta.getExpectedNumArgs recursorType
let rec go (i: Nat) (prev: Array Expr): MetaM (Array Expr) := do
if i ≥ numArgs then
return prev
else
let argType := forallArgs.get! i
-- If `argType` has motive references, its goal needs to be placed in it
let argType := argType.instantiateRev prev
-- Create the goal
let userName := if motiveIndices.contains (numArgs - i - 1) then `motive else .anonymous
let argGoal ← Meta.mkFreshExprMVar argType .syntheticOpaque (userName := userName)
IO.println s!"Creating [{i}] {← Meta.ppExpr argGoal}"
let prev := prev ++ [argGoal]
go (i + 1) prev
termination_by numArgs - i
let newMVars ← go 0 #[]
-- FIXME: Add an `Eq` target and swap out the motive type
--let sourceType := forallBody.instantiateRev newMVars
--unless ← withTheReader Meta.Context (λ ctx => { ctx with config := { ctx.config with } }) $
-- Meta.isDefEq sourceType (← goal.getType) do
-- throwError "invalid mapply: The resultant type {← Meta.ppExpr sourceType} cannot be unified with {← Meta.ppExpr $ ← goal.getType}"
-- Create the main goal for the return type of the recursor
goal.assign (mkAppN recursor newMVars)
let nextGoals ← newMVars.toList.map (·.mvarId!) |>.filterM (not <$> ·.isAssigned)
pure nextGoals
return .success {
root := state.root,
savedState := {
term := ← MonadBacktrack.saveState,
tactic := { goals := nextGoals }
},
newMVars := nextGoals.toSSet,
parentMVar? := .some goal,
calcPrevRhs? := .none
}
catch exception =>
return .failure #[← exception.toMessageData.toString]
state.execute goalId (tacticM := Tactic.motivatedApply recursor)
end Pantograph

2
Pantograph/Tactic.lean Normal file
View File

@ -0,0 +1,2 @@
import Pantograph.Tactic.MotivatedApply

View File

@ -0,0 +1,59 @@
import Lean
open Lean
namespace Pantograph.Tactic
def getForallArgsBody: Expr → List Expr × Expr
| .forallE _ d b _ =>
let (innerArgs, innerBody) := getForallArgsBody b
(d :: innerArgs, innerBody)
| e => ([], e)
def collectMotiveArguments (forallBody: Expr): SSet Nat :=
match forallBody with
| .app (.bvar i) _ => SSet.empty.insert i
| _ => SSet.empty
def motivatedApply: Elab.Tactic.Tactic := λ stx => do
let goal ← Elab.Tactic.getMainGoal
let nextGoals: List MVarId ← goal.withContext do
let recursor ← Elab.Term.elabTerm (stx := stx) .none
let recursorType ← Meta.inferType recursor
let (forallArgs, forallBody) := getForallArgsBody recursorType
let motiveIndices := collectMotiveArguments forallBody
--IO.println s!"{motiveIndices.toList} from {← Meta.ppExpr forallBody}"
let numArgs ← Meta.getExpectedNumArgs recursorType
let rec go (i: Nat) (prev: Array Expr): MetaM (Array Expr) := do
if i ≥ numArgs then
return prev
else
let argType := forallArgs.get! i
-- If `argType` has motive references, its goal needs to be placed in it
let argType := argType.instantiateRev prev
-- Create the goal
let userName := if motiveIndices.contains (numArgs - i - 1) then `motive else .anonymous
let argGoal ← Meta.mkFreshExprMVar argType .syntheticOpaque (userName := userName)
IO.println s!"Creating [{i}] {← Meta.ppExpr argGoal}"
let prev := prev ++ [argGoal]
go (i + 1) prev
termination_by numArgs - i
let newMVars ← go 0 #[]
-- FIXME: Add an `Eq` target and swap out the motive type
--let sourceType := forallBody.instantiateRev newMVars
--unless ← withTheReader Meta.Context (λ ctx => { ctx with config := { ctx.config with } }) $
-- Meta.isDefEq sourceType (← goal.getType) do
-- throwError "invalid mapply: The resultant type {← Meta.ppExpr sourceType} cannot be unified with {← Meta.ppExpr $ ← goal.getType}"
-- Create the main goal for the return type of the recursor
goal.assign (mkAppN recursor newMVars)
let nextGoals ← newMVars.toList.map (·.mvarId!) |>.filterM (not <$> ·.isAssigned)
pure nextGoals
Elab.Tactic.setGoals nextGoals
end Pantograph.Tactic