Add REPL tactics

This commit is contained in:
Leni Aniva 2023-05-21 17:41:39 -07:00
parent 15aab3d31f
commit 083ec8beec
11 changed files with 378 additions and 210 deletions

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@ -1,25 +0,0 @@
import Lean
def strToName (s: String): Lean.Name :=
(s.splitOn ".").foldl Lean.Name.str Lean.Name.anonymous
unsafe def main (args: List String): IO Unit := do
Lean.enableInitializersExecution
Lean.initSearchPath (← Lean.findSysroot)
let imports := ["Init"]
let env: Lean.Environment ← Lean.importModules
(imports := imports.map (λ str => { module := strToName str, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
let expr := args.head?.getD "a + b"
match Lean.Parser.runParserCategory
(env := env)
(catName := `term)
(input := expr)
(fileName := "<stdin>") with
| Except.error error => IO.println s!"{error}"
| Except.ok (syn: Lean.Syntax) =>
let reprint := Lean.Syntax.reprint syn |>.get!
IO.println reprint

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@ -1,5 +1,6 @@
import Lean
import Pantograph.Proofs
import Pantograph.Meta
import Pantograph.Serial
import Pantograph.Symbols
open Pantograph
@ -8,29 +9,50 @@ open Pantograph
Example of using the internal API to execute tactics!
-/
def execute_proof (env: Lean.Environment): IO Unit := do
let name := strToName "Nat.add_comm"
let context := createContext name env
(do
let state ← start_proof_state
def serialise (result: Meta.TacticResult): String := match result with
| .invalid message => s!"Invalid: {message}"
| .success 0 _ => s!"Completed!"
| .success nextId _ => s!"Success: {nextId}"
| .failure messages => s!"Failures: {messages}"
def start_proof: IO Meta.ProofTree := do
let imports := ["Init"]
let env: Lean.Environment ← Lean.importModules
(imports := imports.map (λ str => { module := str_to_name str, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
let name := str_to_name "Nat.add_comm"
let state := Meta.createProofTree
(name := str_to_name "aa") env
(coreContext := {
currNamespace := str_to_name "Aniva",
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph>",
fileMap := { source := "", positions := #[0], lines := #[1] }
})
let s := "∀ (n m : Nat), n + m = m + n"
let syn: Lean.Syntax := Serial.syntax_from_str env s |>.toOption |>.get!
IO.println "Created syntax"
let expr: Lean.Expr := (← Meta.ProofM.syntax_to_expr syn |>.run' state) |>.toOption |>.get!
IO.println "Created expr"
--let expr := env.find? name |>.get! |>.type
let (_, state) ← Meta.ProofM.start expr |>.run state
return state
def execute_proof: IO Unit := do
let state ← start_proof
IO.println "Proof state started!"
let tactic := "intro n m"
let (state, response) ← execute_tactic state tactic
IO.println s! "Executed {tactic} Errors: {response.errors} Goals: {response.goals}"
let (result, state) ← Meta.ProofM.execute 0 tactic |>.run state
IO.println s! "Executed {tactic}, Response: [{serialise result}]"
let tactic := "assumption" -- should fail
let (_, response) ← execute_tactic state tactic
IO.println s! "Executed {tactic} Errors: {response.errors} Goals: {response.goals}"
let (result, state) ← Meta.ProofM.execute 1 tactic |>.run state
IO.println s! "Executed {tactic}, Response: [{serialise result}]"
let tactic := "rw [Nat.add_comm]"
let (state, response) ← execute_tactic state tactic
IO.println s! "Executed {tactic} Errors: {response.errors} Goals: {response.goals}"
) |>.run context
let (result, state) ← Meta.ProofM.execute 1 tactic |>.run state
IO.println s! "Executed {tactic}, Response: [{serialise result}]"
unsafe def main : IO Unit := do
Lean.enableInitializersExecution
Lean.initSearchPath (← Lean.findSysroot)
let imports := ["Init"]
let env: Lean.Environment ← Lean.importModules
(imports := imports.map (λ str => { module := strToName str, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
execute_proof env
execute_proof

106
Main.lean
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@ -2,7 +2,8 @@ import Lean.Data.Json
import Lean.Environment
import Pantograph.Commands
import Pantograph.IO
import Pantograph.Serial
import Pantograph.Meta
import Pantograph.Symbols
namespace Pantograph
@ -14,6 +15,7 @@ structure Context where
/-- Stores state of the REPL -/
structure State where
environments: Array Lean.Environment := #[]
proofTrees: Array Meta.ProofTree := #[]
-- State monad
abbrev Subroutine := ReaderT Context (StateT State IO)
@ -70,9 +72,17 @@ unsafe def execute (command: Command): Subroutine Lean.Json := do
match Lean.fromJson? command.payload with
| .ok args => inspect args
| .error x => return errorJson x
| "proof.trace" =>
| "proof.start" =>
match Lean.fromJson? command.payload with
| .ok args => proof_trace args
| .ok args => proof_start args
| .error x => return errorJson x
| "proof.tactic" =>
match Lean.fromJson? command.payload with
| .ok args => proof_tactic args
| .error x => return errorJson x
| "proof.printTree" =>
match Lean.fromJson? command.payload with
| .ok args => proof_print_tree args
| .error x => return errorJson x
| cmd =>
let error: InteractionError := { error := "unknown", desc := s!"Unknown command {cmd}" }
@ -84,7 +94,7 @@ unsafe def execute (command: Command): Subroutine Lean.Json := do
let state ← get
let id := nextId state
let env ← Lean.importModules
(imports := args.imports.map (λ str => { module := strToName str, runtimeOnly := false }))
(imports := args.imports.map (λ str => { module := str_to_name str, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
modify fun s => { environments := s.environments.push env }
@ -109,7 +119,7 @@ unsafe def execute (command: Command): Subroutine Lean.Json := do
let nEnv := state.environments.size
for env in state.environments do
env.freeRegions
set { state with environments := #[] }
set ({ }: State)
return Lean.toJson ({ nEnv := nEnv }: ClearResult)
inspect (args: Inspect): Subroutine Lean.Json := do
let context ← read
@ -117,35 +127,83 @@ unsafe def execute (command: Command): Subroutine Lean.Json := do
match state.getEnv args.id with
| .error error => return Lean.toJson <| errorIndex error
| .ok env =>
let info? := env.find? <| strToName args.symbol
let info? := env.find? <| str_to_name args.symbol
match info? with
| none => return Lean.toJson <| errorIndex s!"Symbol not found {args.symbol}"
| some info =>
let format ← IO.exprToStr
let format ← Serial.expr_to_str
(env := env)
(coreContext := context.coreContext)
(expr := info.toConstantVal.type)
return Lean.toJson ({ type := format }: InspectResult)
proof_trace (args: ProofTrace): Subroutine Lean.Json := do
-- Step 1: Create tactic state
-- Step 2: Execute tactic
-- Step 3: ??
return Lean.toJson ({ expr := "test" }: ProofTraceResult)
proof_start (args: ProofStart): Subroutine Lean.Json := do
let context ← read
let state ← get
let ret?: Except Lean.Json Meta.ProofTree ← ExceptT.run <| (do
let env ← match state.getEnv args.id with
| .error error => throw <| Lean.toJson <| errorIndex error
| .ok env => pure env
let tree := Meta.createProofTree
(name := args.name)
(env := env)
(coreContext := context.coreContext)
let expr: Lean.Expr ← match args.expr, args.copyFrom with
| "", "" =>
throw <| Lean.toJson ({ error := "arguments", desc := "At least one of {expr, copyFrom} must be supplied" }: InteractionError)
| expr, "" =>
let syn ← match Serial.syntax_from_str env expr with
| .error str => throw <| Lean.toJson ({ error := "parsing", desc := str }: InteractionError)
| .ok syn => pure syn
let expr: Lean.Expr ← match (← Meta.ProofM.syntax_to_expr syn |>.run' tree) with
| .error str => throw <| Lean.toJson ({ error := "elab", desc := str }: InteractionError)
| .ok expr => pure expr
pure expr
| "", copyFrom =>
match Serial.expr_from_const env (name := str_to_name copyFrom) with
| .error str =>
IO.println "Symbol not found"
throw <| errorIndex str
| .ok expr => pure expr
| _, _ => throw <| Lean.toJson ({ error := "arguments", desc := "Cannot populate both of {expr, copyFrom}" }: InteractionError)
let (_, tree) := ← (Meta.ProofM.start expr |>.run tree)
return tree
)
match ret? with
| .error error => return error
| .ok tree =>
-- Put the new tree in the environment
let nextId := state.proofTrees.size
set { state with proofTrees := state.proofTrees.push tree }
return Lean.toJson ({ treeId := nextId }: ProofStartResult)
proof_tactic (args: ProofTactic): Subroutine Lean.Json := do
let state ← get
match state.proofTrees.get? args.treeId with
| .none => return Lean.toJson <| errorIndex "Invalid tree index {args.treeId}"
| .some tree =>
let (result, nextTree) ← Meta.ProofM.execute args.stateId args.goalId args.tactic |>.run tree
match result with
| .invalid message => return Lean.toJson <| errorIndex message
| .success nextId goals =>
set { state with proofTrees := state.proofTrees.set! args.treeId nextTree }
return Lean.toJson ({ nextId := nextId, goals := goals }: ProofTacticResultSuccess)
| .failure messages =>
return Lean.toJson ({ errorMessages := messages }: ProofTacticResultFailure)
proof_print_tree (args: ProofPrintTree): Subroutine Lean.Json := do
let state ← get
match state.proofTrees.get? args.treeId with
| .none => return Lean.toJson <| errorIndex "Invalid tree index {args.treeId}"
| .some tree =>
let parents := tree.states.map λ state => match state.parent with
| .none => ""
| .some parent => s!"{parent}.{state.parentGoalId}"
return Lean.toJson ({parents := parents}: ProofPrintTreeResult)
end Pantograph
open Pantograph
-- Main IO functions
unsafe def getLines : IO String := do
match (← (← IO.getStdin).getLine) with
| "" => pure ""
| "\n" => pure "\n"
| line => pure <| line ++ (← getLines)
open Pantograph
unsafe def loop : Subroutine Unit := do
let command ← (← IO.getStdin).getLine
@ -163,10 +221,14 @@ unsafe def main : IO Unit := do
Lean.initSearchPath (← Lean.findSysroot)
let context: Context := {
coreContext := {
currNamespace := strToName "Aniva",
currNamespace := str_to_name "Aniva",
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph>",
fileMap := { source := "", positions := #[0], lines := #[1] }
}
}
try
loop.run context |>.run' {}
catch ex =>
IO.println "Uncaught IO exception"
IO.println ex.toString

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@ -48,11 +48,38 @@ structure InspectResult where
type: String := ""
deriving Lean.ToJson
structure ProofTrace where
structure ProofStart where
id: Nat -- Environment id
name: String := "Untitled" -- Identifier of the proof
-- Only one of the fields below may be populated.
expr: String := "" -- Proof expression
copyFrom: String := "" -- Theorem name
deriving Lean.FromJson
structure ProofTraceResult where
expr: String
structure ProofStartResult where
error: String := ""
treeId: Nat := 0 -- Proof tree id
deriving Lean.ToJson
structure ProofTactic where
treeId: Nat
stateId: Nat
goalId: Nat := 0
tactic: String
deriving Lean.FromJson
structure ProofTacticResultSuccess where
goals: Array String
nextId: Nat
deriving Lean.ToJson
structure ProofTacticResultFailure where
errorMessages: Array String -- Error messages generated by tactic
deriving Lean.ToJson
structure ProofPrintTree where
treeId: Nat
deriving Lean.FromJson
structure ProofPrintTreeResult where
-- "" if no parents, otherwise "parentId.goalId"
parents: Array String
deriving Lean.ToJson
end Pantograph.Commands

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@ -1,19 +0,0 @@
import Lean
/-
Expression IO
-/
namespace Pantograph.IO
def exprToStr (env: Lean.Environment) (coreContext: Lean.Core.Context) (expr: Lean.Expr): IO String := do
let metaM := Lean.Meta.ppExpr expr
let coreM : Lean.CoreM Lean.Format := metaM.run'
let coreState : Lean.Core.State := { env := env }
let (format, _) ← coreM.toIO coreContext coreState
return format.pretty
end Pantograph.IO

169
Pantograph/Meta.lean Normal file
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@ -0,0 +1,169 @@
import Lean
import Pantograph.Symbols
/-
The proof state manipulation system
A proof state is launched by providing
1. Environment: `Lean.Environment`
2. Expression: `Lean.Expr`
The expression becomes the first meta variable in the saved tactic state
`Lean.Elab.Tactic.SavedState`.
From this point on, any proof which extends
`Lean.Elab.Term.Context` and
-/
def Lean.MessageLog.getErrorMessages (log : Lean.MessageLog) : Lean.MessageLog :=
{ msgs := log.msgs.filter fun m => match m.severity with | Lean.MessageSeverity.error => true | _ => false }
namespace Pantograph.Meta
structure ProofState where
savedState : Lean.Elab.Tactic.SavedState
parent : Option Nat := none
parentGoalId : Nat := 0
structure ProofTree where
-- All parameters needed to run a `TermElabM` monad
env: Lean.Environment
name: Lean.Name
coreContext : Lean.Core.Context
elabContext : Lean.Elab.Term.Context
-- Set of proof states
states : Array ProofState := #[]
abbrev ProofM := StateRefT ProofTree IO
def createProofTree (name: Lean.Name) (env: Lean.Environment) (coreContext: Lean.Core.Context): ProofTree :=
{
env := env,
name := name,
coreContext := coreContext,
elabContext := {
declName? := some (name ++ "_pantograph"),
errToSorry := false
}
}
-- Executing a `TermElabM`
def ProofM.runTermElabM (termElabM: Lean.Elab.TermElabM α): ProofM (α × Lean.Core.State) := do
let context ← get
let metaM : Lean.MetaM α := termElabM.run' (ctx := context.elabContext)
let coreM : Lean.CoreM α := metaM.run'
let coreState : Lean.Core.State := { env := context.env }
coreM.toIO context.coreContext coreState
def ProofM.runTermElabM' (termElabM: Lean.Elab.TermElabM α): ProofM α := do
return Prod.fst <| ← ProofM.runTermElabM termElabM
-- Parsing syntax under the environment
def ProofM.syntax_to_expr (syn: Lean.Syntax): ProofM (Except String Lean.Expr) := do
let termElabM : Lean.Elab.TermElabM (Except String Lean.Expr) :=
try
--let expr ← Lean.Elab.Term.elabTerm syn
-- (expectedType? := none)
-- (catchExPostpone := false)
-- (implicitLambda := true)
let expr ← Lean.Elab.Term.elabType syn
-- Immediately synthesise all metavariables since we need to leave the elaboration context.
-- See https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Unknown.20universe.20metavariable/near/360130070
Lean.Elab.Term.synthesizeSyntheticMVarsNoPostponing
let expr ← Lean.instantiateMVars expr
return .ok expr
catch ex => return .error (← ex.toMessageData.toString)
ProofM.runTermElabM' <| termElabM
def start_tactic_state (expr: Lean.Expr): Lean.Elab.TermElabM Lean.Elab.Tactic.SavedState := do
let mvar ← Lean.Meta.mkFreshExprMVar (some expr) (kind := Lean.MetavarKind.synthetic)
let termState : Lean.Elab.Term.SavedState ← Lean.Elab.Term.saveState
let tacticState : Lean.Elab.Tactic.SavedState := { term := termState, tactic := { goals := [mvar.mvarId!] }}
return tacticState
/-- Create the initial proof state of the proof tree -/
def ProofM.start (expr: Lean.Expr): ProofM Unit := do
let state: ProofState := {
savedState := (← ProofM.runTermElabM' <| start_tactic_state expr),
parent := none
}
let tree ← get
set { tree with states := #[state] }
def execute_tactic (env: Lean.Environment) (state: Lean.Elab.Tactic.SavedState) (goalId: Nat) (tactic: String) :
Lean.Elab.TermElabM (Except (Array String) Lean.Elab.Tactic.SavedState):= do
-- Factor this one out to allow for direct syntactic communication
match Lean.Parser.runParserCategory
(env := env)
(catName := `tactic)
(input := tactic)
(fileName := "<stdin>") with
| Except.error err => return .error #[err]
| Except.ok stx => do
state.term.restore
let tac : Lean.Elab.Tactic.TacticM Unit := set state.tactic *> Lean.Elab.Tactic.evalTactic stx
match state.tactic.goals.get? goalId with
| .none => return .error #[s!"Invalid goalId {goalId}"]
| .some mvarId =>
try
let unsolvedGoals ← Lean.Elab.Tactic.run mvarId tac
if (← getThe Lean.Core.State).messages.hasErrors then
let messages := (← getThe Lean.Core.State).messages.getErrorMessages |>.toList.toArray
let errors ← (messages.map Lean.Message.data).mapM fun md => md.toString
return .error errors
else
let nextState : Lean.Elab.Tactic.SavedState := {
term := (← Lean.Elab.Term.saveState),
tactic := { goals := unsolvedGoals}
}
return .ok nextState
catch ex =>
return .error #[← ex.toMessageData.toString]
def extract_goals (state: Lean.Elab.Tactic.SavedState): Lean.Elab.TermElabM (Array String) := do
state.term.restore
let goals ← state.tactic.goals.mapM fun g => do pure $ toString (← Lean.Meta.ppGoal g)
pure goals.toArray
/-- Response for executing a tactic -/
inductive TacticResult where
-- Invalid id
| invalid (message: String): TacticResult
-- Goes to next state
| success (nextId: Nat) (goals: Array String)
-- Fails with messages
| failure (messages: Array String)
/-- Execute tactic on given state -/
def ProofM.execute (stateId: Nat) (goalId: Nat) (tactic: String): ProofM TacticResult := do
let context ← get
match context.states.get? stateId with
| .none => return .invalid s!"Invalid state id {stateId}"
| .some state =>
match (← ProofM.runTermElabM' <| execute_tactic (env := context.env) (state := state.savedState) (goalId := goalId) (tactic := tactic)) with
| .error errors =>
return .failure errors
| .ok nextState =>
let nextId := context.states.size
-- Return goals
let goals ← ProofM.runTermElabM' <| extract_goals nextState
if goals.size = 0 then
return .success 0 #[]
else
-- Create next proof state node
let proofState: ProofState := {
savedState := nextState,
parent := stateId,
parentGoalId := goalId
}
modify fun s => { s with states := s.states.push proofState }
return .success nextId goals
end Pantograph.Meta

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@ -1,105 +0,0 @@
import Lean
import Pantograph.Symbols
/-
The proof state manipulation system
A proof state is launched by providing
1. Environment: `Lean.Environment`
2. Expression: `Lean.Expr`
The expression becomes the first meta variable in the saved tactic state
`Lean.Elab.Tactic.SavedState`.
From this point on, any proof which extends
`Lean.Elab.Term.Context` and
-/
def Lean.MessageLog.getErrorMessages (log : Lean.MessageLog) : Lean.MessageLog :=
{ msgs := log.msgs.filter fun m => match m.severity with | Lean.MessageSeverity.error => true | _ => false }
namespace Pantograph
-- All parameters needed to run a `TermElabM` monad
structure Context where
env: Lean.Environment
name: Lean.Name
coreContext : Lean.Core.Context
elabContext: Lean.Elab.Term.Context
-- Tactic execution response
structure Response : Type where
goals : Array String := #[]
errors : Array String := #[]
def createContext (name: Lean.Name) (env: Lean.Environment): Context :=
{
env := env,
name := name,
coreContext := {
currNamespace := strToName "Aniva",
openDecls := [], -- No 'open' directives needed
fileName := "<Gym>",
fileMap := { source := "", positions := #[0], lines := #[1] }
},
elabContext := {
declName? := some (name ++ "_pantograph"),
errToSorry := false
}
}
def Context.runTermElabM (termElabM: Lean.Elab.TermElabM α): ReaderT Context IO (α × Lean.Core.State) := do
let context ← read
let metaM : Lean.MetaM α := termElabM.run' (ctx := context.elabContext)
let coreM : Lean.CoreM α := metaM.run'
let coreState : Lean.Core.State := { env := context.env }
coreM.toIO context.coreContext coreState
def Context.runTermElabM' (termElabM: Lean.Elab.TermElabM α): ReaderT Context IO α := do
let context ← read
let (result, _) ← context.runTermElabM termElabM
return result
def start_proof_state: ReaderT Context IO Lean.Elab.Tactic.SavedState := do
let context ← read
let name := context.name
let termElabM : Lean.Elab.TermElabM Lean.Elab.Tactic.SavedState := do
match context.env.find? name with
| none => throwError "decl {name} not found"
| some cInfo =>
if ¬ (← Lean.Meta.isProp cInfo.type) then throwError "decl {name} not a theorem"
let mvar ← Lean.Meta.mkFreshExprMVar (some cInfo.type) (kind := Lean.MetavarKind.synthetic)
let termState : Lean.Elab.Term.SavedState ← Lean.Elab.Term.saveState
let tacticState : Lean.Elab.Tactic.SavedState := { term := termState, tactic := { goals := [mvar.mvarId!] }}
return tacticState
Context.runTermElabM' termElabM
def execute_tactic (state: Lean.Elab.Tactic.SavedState) (tacticString : String) : ReaderT Context IO (Lean.Elab.Tactic.SavedState × Response) := do
let context ← read
match Lean.Parser.runParserCategory
(env := context.env)
(catName := `tactic)
(input := tacticString)
(fileName := "<stdin>") with
| Except.error err => pure (state, { errors := #[err] })
| Except.ok stx => Context.runTermElabM' <| do
state.term.restore
let tac : Lean.Elab.Tactic.TacticM Unit := set state.tactic *> Lean.Elab.Tactic.evalTactic stx
let mvarId : Lean.MVarId := state.tactic.goals.head!
try
let unsolvedGoals ← Lean.Elab.Tactic.run mvarId tac
if (← getThe Lean.Core.State).messages.hasErrors then
let messages := (← getThe Lean.Core.State).messages.getErrorMessages |>.toList.toArray
pure (state, { errors := ← (messages.map Lean.Message.data).mapM fun md => md.toString })
else
let nextState : Lean.Elab.Tactic.SavedState := { term := (← Lean.Elab.Term.saveState), tactic := { goals := unsolvedGoals}}
let goals ← nextState.tactic.goals.mapM fun g => do pure $ toString (← Lean.Meta.ppGoal g)
pure (nextState, { goals := goals.toArray })
catch ex =>
pure (state, { errors := #[← ex.toMessageData.toString] })
end Pantograph

31
Pantograph/Serial.lean Normal file
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@ -0,0 +1,31 @@
import Lean
/-
Expression IO
-/
namespace Pantograph.Serial
/-- Read a theorem from the environment -/
def expr_from_const (env: Lean.Environment) (name: Lean.Name): Except String Lean.Expr :=
match env.find? name with
| none => throw s!"Symbol not found: {name}"
| some cInfo => return cInfo.type
def syntax_from_str (env: Lean.Environment) (s: String): Except String Lean.Syntax :=
Lean.Parser.runParserCategory
(env := env)
(catName := `term)
(input := s)
(fileName := "<stdin>")
def expr_to_str (env: Lean.Environment) (coreContext: Lean.Core.Context) (expr: Lean.Expr): IO String := do
let metaM := Lean.Meta.ppExpr expr
let coreM : Lean.CoreM Lean.Format := metaM.run'
let coreState : Lean.Core.State := { env := env }
let (format, _) ← coreM.toIO coreContext coreState
return format.pretty
end Pantograph.Serial

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@ -5,7 +5,7 @@ import Lean.Declaration
namespace Pantograph
def strToName (s: String): Lean.Name :=
def str_to_name (s: String): Lean.Name :=
(s.splitOn ".").foldl Lean.Name.str Lean.Name.anonymous
def is_symbol_unsafe_or_internal (n: Lean.Name) (info: Lean.ConstantInfo): Bool :=

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@ -20,9 +20,10 @@ lake build mathlib
## Usage
The binary must be run inside a `lake env` environment. i.e. `lake env
build/bin/pantograph`. The REPL loop accepts commands and outputs either an
`Error:` (indicating malformed command) or a json return value indicating the
result of a command execution. The command can be passed in one of two formats
build/bin/pantograph`. The REPL loop accepts commands as single-line JSON inputs
and outputs either an `Error:` (indicating malformed command) or a json return
value indicating the result of a command execution. The command can be passed in
one of two formats
```
command { ... }
{ "cmd": command, "payload": ... }
@ -43,7 +44,18 @@ $ lake env build/bin/Pantograph
create {"imports": ["Mathlib.Analysis.Seminorm"]}
catalog {"id": 0}
```
Example proving a theorem: (alternatively use `proof.start {"id": 0, "name": "aa", "copyFrom": "Nat.add_comm", "expr": ""}`) to prime the proof
```
$ lake env build/bin/Pantograph
create {"imports": ["Init"]}
proof.start {"id": 0, "name": "aa", "copyFrom": "", "expr": "∀ (n m : Nat), n + m = m + n"}
proof.tactic {"treeId": 0, "stateId": 0, "goalId": 0, "tactic": "intro n m"}
proof.tactic {"treeId": 0, "stateId": 1, "goalId": 0, "tactic": "assumption"}
proof.printTree {"treeId": 0}
proof.tactic {"treeId": 0, "stateId": 1, "goalId": 0, "tactic": "rw [Nat.add_comm]"}
proof.printTree {"treeId": 0}
```
where the application of `assumption` should lead to a failure.
## Troubleshooting
@ -51,3 +63,4 @@ If lean encounters stack overflow problems when printing catalog, execute this b
```sh
ulimit -s unlimited
```
Due to a current bug in Lean (which existed in Lean 3), [the default value of structures are not honoured when parsing Json's](https://github.com/leanprover/lean4/issues/2225).

View File

@ -1,7 +1,6 @@
import Lake
open Lake DSL
package pantograph
require mathlib from git
@ -23,9 +22,3 @@ lean_exe examples_proof {
-- Somehow solves the native symbol not found problem
supportInterpreter := true
}
lean_exe examples_expr_io {
root := `Examples.ExprIO
-- Somehow solves the native symbol not found problem
supportInterpreter := true
}