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96 Commits
dev ... v0.2.8

Author SHA1 Message Date
Leni Aniva c99125c4a6 Merge pull request 'feat: Allow selective continuation of goals' (#27) from goal/continuation into dev
Reviewed-on: #27
2023-11-07 16:49:55 -08:00
Leni Aniva 8218d3f004
fix: Do not show parent state in continue 2023-11-07 13:10:14 -08:00
Leni Aniva 736e68639f
fix: New goal state not inserted correctly 2023-11-07 13:07:50 -08:00
Leni Aniva cfd1cfd107
Merge branch 'dev' into goal/continuation 2023-11-07 12:11:14 -08:00
Leni Aniva 764be6d14b
fix: Remove the error prone SemihashMap 2023-11-07 12:09:54 -08:00
Leni Aniva 5ac5198f51
fix: Remove the error prone SemihashMap 2023-11-07 12:04:17 -08:00
Leni Aniva 7076669c3d
chore: Code formatting 2023-11-06 12:20:08 -08:00
Leni Aniva 245e76b2f1
feat: Print the root mvar name 2023-11-06 11:51:31 -08:00
Leni Aniva 7c28cf4ed0
Merge branch 'dev' into goal/continuation 2023-11-06 11:45:24 -08:00
Leni Aniva c5f563598d
chore: Remove unnecessary unsafe's 2023-11-06 11:43:57 -08:00
Leni Aniva a7aeb03b43
chore: Update documentation 2023-11-06 11:04:28 -08:00
Leni Aniva dbace9f2d5
fix: Use Lean's built in name parser
The `str_to_name` parser cannot handle numerical names and escapes.
2023-11-06 10:45:11 -08:00
Leni Aniva 782ce38c87
chore: Version bump to 0.2.8 2023-11-04 15:54:28 -07:00
Leni Aniva d809a960f9
feat: Goal continuation fails if target has goals 2023-11-04 15:53:57 -07:00
Leni Aniva db706070ad
feat: Add goal.continue command 2023-11-04 15:51:09 -07:00
Leni Aniva 754fb69cff
feat: Partial state continuation 2023-11-04 15:33:53 -07:00
Leni Aniva dc2cc5be77
test: Separate mvar coupling tests 2023-11-04 15:01:41 -07:00
Leni Aniva f5ed87f740 Merge pull request 'feat: Minor updates to serialization' (#26) from io/serial into dev
Reviewed-on: #26
2023-10-30 14:47:41 -07:00
Leni Aniva 8dd994d1ca
bug: Fix quote escape problem 2023-10-30 14:45:43 -07:00
Leni Aniva d87217c6bb
feat: Print metavariable name in goal 2023-10-30 14:44:06 -07:00
Leni Aniva 796f0d8336 Merge pull request 'feat: Simplify printing of names and expressions' (#25) from io/serial into dev
Reviewed-on: #25
2023-10-29 13:08:05 -07:00
Leni Aniva e5acd4b26c
fix: Sanitize name in universe levels 2023-10-29 13:03:48 -07:00
Leni Aniva 454a5bc6b9
feat: Simplify printing of function applications 2023-10-29 12:50:36 -07:00
Leni Aniva afed5bbc8d
chore: Version bump (breaking change) 2023-10-29 11:57:24 -07:00
Leni Aniva e2526f11b1
feat: Print names in one segment separated with . 2023-10-29 11:56:56 -07:00
Leni Aniva c2d606b9d9
feat: Simplify name printing 2023-10-29 11:18:35 -07:00
Leni Aniva c19fd1bcfb Merge pull request 'Enable handling of m-Coupled goals' (#20) from goal/dependency into dev
Reviewed-on: #20
2023-10-27 19:30:20 -07:00
Leni Aniva 427d819349
feat: Add REPL function for root expression 2023-10-27 15:41:12 -07:00
Leni Aniva ca7a081cac
Merge branch 'dev' into goal/dependency 2023-10-27 15:33:47 -07:00
Leni Aniva 82f5494718
feat: Add REPL command for assigning an expression 2023-10-27 15:32:59 -07:00
Leni Aniva b381d89ff9
feat: Assigning a goal with an expression 2023-10-27 15:15:22 -07:00
Leni Aniva e98fb77f33
refactor: Separate goal printing and processing
Added a test for delta proof variables
2023-10-26 22:47:42 -07:00
Leni Aniva 4ffd226cac
test: m-coupled goals 2023-10-26 11:22:02 -07:00
Leni Aniva 0ecfa9fc26
feat: Display user name in Goal structure
1. Modify `serialize_expression_ast` so its no longer a monad
2. Test existence of root expression
2023-10-25 22:18:59 -07:00
Leni Aniva 0a0f0304a8
feat: Add proof continue and root extraction 2023-10-25 16:03:45 -07:00
Leni Aniva 7dc6e4e549
Add documentation about flake 2023-10-20 12:54:35 -07:00
Leni Aniva ba53e9087b
feat: Add nix flake 2023-10-20 12:41:56 -07:00
Leni Aniva 9447d29e37
Store states instead of goals
1. Rename {Commands, Protocol}, and {Symbols, Symbol}
2. Store the root mvarId in the proof state along with goal indices
3. Add diagnostics function which prints out the state
4. Bump version to 0.2.6 (breaking change)

Documentations pending
2023-10-15 17:15:23 -07:00
Leni Aniva 8c93d30ab7
Rename tactic to goal and restructure 2023-10-15 12:31:22 -07:00
Leni Aniva 42133f9b74
Add holes test stub
Move tests into their own namespaces
2023-10-06 17:31:36 -07:00
Leni Aniva 5b002a9ceb
Fix test failures 2023-10-05 17:51:41 -07:00
Leni Aniva 836a14fa63
Bump Lean version to 4.1.0 2023-10-05 17:49:43 -07:00
Leni Aniva 5f2b394471
Add dependency for lakefile and lean-toolchain 2023-10-02 10:30:58 -07:00
Leni Aniva 2c3a7adb61
Use makefile instead of ad-hoc script 2023-10-02 10:26:19 -07:00
Leni Aniva 8e02e6e7cc Add ready message to indicate the main loop is up 2023-10-02 10:14:03 -07:00
Leni Aniva 1e637dabaa
Bump lean version to 4.0.0 2023-09-13 21:02:26 -07:00
Leni Aniva c4a97d8a76 Merge pull request 'Simplify goal bookkeeping mechanism' (#10) from tactic/book into dev
Reviewed-on: #10
2023-08-30 19:18:36 -07:00
Leni Aniva acfd4e8288
Merge branch 'dev' into tactic/book 2023-08-30 19:17:25 -07:00
Leni Aniva 46347d8244
Add SemihashMap interface, rename proof commands to goal commands, allow deletion 2023-08-30 19:16:33 -07:00
Leni Aniva 71327d2d55
Separate max and imax in sort level 2023-08-27 22:50:18 -07:00
Leni Aniva 8d5d7b6e3e
Version bump to 0.2.4 due to breaking change 2023-08-27 19:59:31 -07:00
Leni Aniva 80ad7a2bd0
Rename proof commands to goal commands 2023-08-27 19:58:52 -07:00
Leni Aniva 0c5f439067
Add SemihashMap structure for goal bookkeeping 2023-08-27 19:53:09 -07:00
Leni Aniva dea63ac5ea Merge pull request 'Remove the obsolete name field from proof tree structure' (#11) from misc/cleanup into dev
Reviewed-on: #11
2023-08-26 18:50:40 -07:00
Leni Aniva 81702d12ef Remove the obsolete name field from proof tree structure 2023-08-26 18:50:15 -07:00
Leni Aniva 51edc701fe
Add test cases for command error categories 2023-08-24 23:12:18 -07:00
Leni Aniva 95d26a2f50
Classify JSON error as command error
Also add documentation for this
2023-08-24 22:51:40 -07:00
Leni Aniva 5978e5f4f3 Merge pull request 'Add more serialisation options' (#2) from io/serial into dev
Reviewed-on: #2
2023-08-23 13:29:00 -07:00
Leni Aniva 7160f8aa61
Merge branch 'dev' into io/serial 2023-08-23 13:25:08 -07:00
Leni Aniva 85440e0278
Unify json and unknown error into command error 2023-08-23 13:00:11 -07:00
Leni Aniva e63f7c9afa
Add proper printing of sorts 2023-08-23 12:51:06 -07:00
Leni Aniva 1d1fa60175
Move all json-string functions to Main.lean 2023-08-22 09:54:37 -07:00
Leni Aniva ddf7ec21c8 Add compressed json print option; Rearrange commands into hierarchy 2023-08-16 19:25:32 -07:00
Leni Aniva 0e61093f47 Add proof variable delta; Bump version to 0.2.1 2023-08-15 15:40:54 -07:00
Leni Aniva d476354a4a Add expression sexp printing (2/2) 2023-08-14 21:43:40 -07:00
Leni Aniva 19c57ada1e Add expression sexp printing (1/2, tests pending) 2023-08-14 17:07:53 -07:00
Leni Aniva d705cdf0e5 version bump, restructure 2023-08-13 21:19:06 -07:00
Leni Aniva a00a2b4a42 Add documentation; Remove mathlib dependency 2023-06-09 14:45:45 -07:00
Leni Aniva 572548c1bd Add json goal printing 2023-05-27 23:10:39 -07:00
Leni Aniva 9fe3f62371 Add back the clear command to reset state 2023-05-26 16:55:33 -07:00
Leni Aniva 989130ecd2 Add expr.type 2023-05-25 13:40:03 -07:00
Leni Aniva 5beb911db5 Rename tactic failure mode to avoid confusion
Clean up README
2023-05-24 23:11:17 -07:00
Leni Aniva 9b8aff95e5 Update gitignore to exclude hidden files 2023-05-24 09:32:19 -07:00
Leni Aniva 4033722596 Add documentation about options 2023-05-24 00:55:54 -07:00
Leni Aniva fd536da55c Add expression binding printing and import Lean 2023-05-24 00:54:48 -07:00
Leni Aniva 58367cef6c Use TermElabM as the main monad stack instead of IO 2023-05-23 05:12:46 -07:00
Leni Aniva c781797898 Save core state in proofs 2023-05-22 22:48:48 -07:00
Leni Aniva 44d470d63e Rename ids so they are consistent 2023-05-22 19:51:16 -07:00
Leni Aniva 51477a4806 Remove testing stub in README.md 2023-05-22 19:12:07 -07:00
Leni Aniva 56b967ee7a Add module name for symbol 2023-05-22 16:00:41 -07:00
Leni Aniva 22202af24e Add option id handling with ? 2023-05-22 14:56:43 -07:00
Leni Aniva 111dea2093 Add option format for proof output and test cases 2023-05-22 14:49:56 -07:00
Leni Aniva 8a448fb114 Add testing stub 2023-05-22 11:47:46 -07:00
Leni Aniva 2772a394cc Add default arguments for Json 2023-05-22 00:49:37 -07:00
Leni Aniva 147079816d Add manifest file 2023-05-21 23:30:41 -07:00
Leni Aniva 41241bfa40 Add REPL tactics 2023-05-21 17:41:39 -07:00
Leni Aniva ed70875837 Remove ExceptT from main monad
Allow pretty printing of expr
2023-05-20 15:58:38 -07:00
Leni Aniva c4a1ccad13 Add expression IO stub for constant types 2023-05-20 14:04:09 -07:00
Leni Aniva 65da39440d Add alternative command input format and IO stub 2023-05-20 13:03:12 -07:00
Leni Ven 14a6eb1f59 Add tactic state manipulation 2023-05-17 21:58:03 -07:00
Leni Ven 2ec4efde55 Add stack size troubleshooting 2023-05-14 15:22:41 -07:00
Leni Ven 3cb0795bb6 Add unsafe filtering in catalog 2023-05-12 16:12:21 -07:00
Leni Aniva 9f53781ffe Add working catalog code and example 2023-05-12 01:08:36 -07:00
Leni Ven 5a297e8fef Add README and catalog functions 2023-05-09 22:51:19 -07:00
Leni Aniva 0b2db92b4a Separate commands into its own file 2023-05-09 18:01:09 -07:00
Leni Ven 9a957bce35 Add REPL 2023-05-09 16:39:24 -07:00
22 changed files with 2358 additions and 12 deletions

4
.gitignore vendored
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@ -1,2 +1,6 @@
.*
!.gitignore
*.olean
/build
/lake-packages

115
Main.lean
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@ -1,4 +1,115 @@
import Lean.Data.Json
import Lean.Environment
import Pantograph.Version
import Pantograph
def main : IO Unit :=
IO.println s!"Hello, {hello}!"
-- Main IO functions
open Pantograph
/-- Parse a command either in `{ "cmd": ..., "payload": ... }` form or `cmd { ... }` form. -/
def parseCommand (s: String): Except String Protocol.Command := do
let s := s.trim
match s.get? 0 with
| .some '{' => -- Parse in Json mode
Lean.fromJson? (← Lean.Json.parse s)
| .some _ => -- Parse in line mode
let offset := s.posOf ' ' |> s.offsetOfPos
if offset = s.length then
return { cmd := s.take offset, payload := Lean.Json.null }
else
let payload ← s.drop offset |> Lean.Json.parse
return { cmd := s.take offset, payload := payload }
| .none => throw "Command is empty"
partial def loop : MainM Unit := do
let state ← get
let command ← (← IO.getStdin).getLine
if command.trim.length = 0 then return ()
match parseCommand command with
| .error error =>
let error := Lean.toJson ({ error := "command", desc := error }: Protocol.InteractionError)
-- Using `Lean.Json.compress` here to prevent newline
IO.println error.compress
| .ok command =>
let ret ← execute command
let str := match state.options.printJsonPretty with
| true => ret.pretty
| false => ret.compress
IO.println str
loop
namespace Lean
/-- This is better than the default version since it handles `.` and doesn't
crash the program when it fails. -/
def setOptionFromString' (opts : Options) (entry : String) : ExceptT String IO Options := do
let ps := (entry.splitOn "=").map String.trim
let [key, val] ← pure ps | throw "invalid configuration option entry, it must be of the form '<key> = <value>'"
let key := key.toName
let defValue ← getOptionDefaultValue key
match defValue with
| DataValue.ofString _ => pure $ opts.setString key val
| DataValue.ofBool _ =>
match val with
| "true" => pure $ opts.setBool key true
| "false" => pure $ opts.setBool key false
| _ => throw s!"invalid Bool option value '{val}'"
| DataValue.ofName _ => pure $ opts.setName key val.toName
| DataValue.ofNat _ =>
match val.toNat? with
| none => throw s!"invalid Nat option value '{val}'"
| some v => pure $ opts.setNat key v
| DataValue.ofInt _ =>
match val.toInt? with
| none => throw s!"invalid Int option value '{val}'"
| some v => pure $ opts.setInt key v
| DataValue.ofSyntax _ => throw s!"invalid Syntax option value"
end Lean
unsafe def main (args: List String): IO Unit := do
-- NOTE: A more sophisticated scheme of command line argument handling is needed.
-- Separate imports and options
if args == ["--version"] then do
println! s!"{version}"
return
Lean.enableInitializersExecution
Lean.initSearchPath (← Lean.findSysroot)
let options? ← args.filterMap (λ s => if s.startsWith "--" then .some <| s.drop 2 else .none)
|>.foldlM Lean.setOptionFromString' Lean.Options.empty
|>.run
let options ← match options? with
| .ok options => pure options
| .error e => throw $ IO.userError s!"Options cannot be parsed: {e}"
let imports:= args.filter (λ s => ¬ (s.startsWith "--"))
let env ← Lean.importModules
(imports := imports.toArray.map (λ str => { module := str.toName, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
let context: Context := {
imports
}
let coreContext: Lean.Core.Context := {
currNamespace := Lean.Name.str .anonymous "Aniva"
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph>",
fileMap := { source := "", positions := #[0], lines := #[1] },
options := options
}
try
let termElabM := loop.run context |>.run' {}
let metaM := termElabM.run' (ctx := {
declName? := some "_pantograph",
errToSorry := false
})
let coreM := metaM.run'
IO.println "ready."
discard <| coreM.toIO coreContext { env := env }
catch ex =>
IO.println "Uncaught IO exception"
IO.println ex.toString

20
Makefile Normal file
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@ -0,0 +1,20 @@
LIB := build/lib/Pantograph.olean
EXE := build/bin/pantograph
SOURCE := $(wildcard Pantograph/*.lean) $(wildcard *.lean) lean-toolchain
TEST_EXE := build/bin/test
TEST_SOURCE := $(wildcard Test/*.lean)
$(LIB) $(EXE): $(SOURCE)
lake build pantograph
$(TEST_EXE): $(LIB) $(TEST_SOURCE)
lake build test
test: $(TEST_EXE)
lake env $(TEST_EXE)
clean:
lake clean
.PHONY: test clean

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@ -1 +1,223 @@
def hello := "world"
import Pantograph.Goal
import Pantograph.Protocol
import Pantograph.Serial
import Pantograph.Symbol
import Lean.Data.HashMap
namespace Pantograph
structure Context where
imports: List String
/-- Stores state of the REPL -/
structure State where
options: Protocol.Options := {}
nextId: Nat := 0
goalStates: Lean.HashMap Nat GoalState := Lean.HashMap.empty
/-- Main state monad for executing commands -/
abbrev MainM := ReaderT Context (StateT State Lean.Elab.TermElabM)
-- HACK: For some reason writing `CommandM α := MainM (Except ... α)` disables
-- certain monadic features in `MainM`
abbrev CR α := Except Protocol.InteractionError α
def execute (command: Protocol.Command): MainM Lean.Json := do
let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
match Lean.fromJson? command.payload with
| .ok args => do
match (← comm args) with
| .ok result => return Lean.toJson result
| .error ierror => return Lean.toJson ierror
| .error error => return Lean.toJson $ errorCommand s!"Unable to parse json: {error}"
match command.cmd with
| "reset" => run reset
| "stat" => run stat
| "expr.echo" => run expr_echo
| "lib.catalog" => run lib_catalog
| "lib.inspect" => run lib_inspect
| "options.set" => run options_set
| "options.print" => run options_print
| "goal.start" => run goal_start
| "goal.tactic" => run goal_tactic
| "goal.continue" => run goal_continue
| "goal.delete" => run goal_delete
| "goal.print" => run goal_print
| cmd =>
let error: Protocol.InteractionError :=
errorCommand s!"Unknown command {cmd}"
return Lean.toJson error
where
errorI (type desc: String): Protocol.InteractionError := { error := type, desc := desc }
errorCommand := errorI "command"
errorIndex := errorI "index"
-- Command Functions
reset (_: Protocol.Reset): MainM (CR Protocol.StatResult) := do
let state ← get
let nGoals := state.goalStates.size
set { state with nextId := 0, goalStates := Lean.HashMap.empty }
return .ok { nGoals }
stat (_: Protocol.Stat): MainM (CR Protocol.StatResult) := do
let state ← get
let nGoals := state.goalStates.size
return .ok { nGoals }
lib_catalog (_: Protocol.LibCatalog): MainM (CR Protocol.LibCatalogResult) := do
let env ← Lean.MonadEnv.getEnv
let names := env.constants.fold (init := #[]) (λ acc name info =>
match to_filtered_symbol name info with
| .some x => acc.push x
| .none => acc)
return .ok { symbols := names }
lib_inspect (args: Protocol.LibInspect): MainM (CR Protocol.LibInspectResult) := do
let state ← get
let env ← Lean.MonadEnv.getEnv
let name := args.name.toName
let info? := env.find? name
match info? with
| none => return .error $ errorIndex s!"Symbol not found {args.name}"
| some info =>
let module? := env.getModuleIdxFor? name >>=
(λ idx => env.allImportedModuleNames.get? idx.toNat) |>.map toString
let value? := match args.value?, info with
| .some true, _ => info.value?
| .some false, _ => .none
| .none, .defnInfo _ => info.value?
| .none, _ => .none
return .ok {
type := ← serialize_expression state.options info.type,
value? := ← value?.mapM (λ v => serialize_expression state.options v),
module? := module?
}
expr_echo (args: Protocol.ExprEcho): MainM (CR Protocol.ExprEchoResult) := do
let state ← get
let env ← Lean.MonadEnv.getEnv
match syntax_from_str env args.expr with
| .error str => return .error $ errorI "parsing" str
| .ok syn => do
match (← syntax_to_expr syn) with
| .error str => return .error $ errorI "elab" str
| .ok expr => do
try
let type ← Lean.Meta.inferType expr
return .ok {
type := (← serialize_expression (options := state.options) type),
expr := (← serialize_expression (options := state.options) expr)
}
catch exception =>
return .error $ errorI "typing" (← exception.toMessageData.toString)
options_set (args: Protocol.OptionsSet): MainM (CR Protocol.OptionsSetResult) := do
let state ← get
let options := state.options
set { state with
options := {
-- FIXME: This should be replaced with something more elegant
printJsonPretty := args.printJsonPretty?.getD options.printJsonPretty,
printExprPretty := args.printExprPretty?.getD options.printExprPretty,
printExprAST := args.printExprAST?.getD options.printExprAST,
noRepeat := args.noRepeat?.getD options.noRepeat,
printAuxDecls := args.printAuxDecls?.getD options.printAuxDecls,
printImplementationDetailHyps := args.printImplementationDetailHyps?.getD options.printImplementationDetailHyps
}
}
return .ok { }
options_print (_: Protocol.OptionsPrint): MainM (CR Protocol.OptionsPrintResult) := do
return .ok (← get).options
goal_start (args: Protocol.GoalStart): MainM (CR Protocol.GoalStartResult) := do
let state ← get
let env ← Lean.MonadEnv.getEnv
let expr?: Except _ Lean.Expr ← (match args.expr, args.copyFrom with
| .some expr, .none =>
(match syntax_from_str env expr with
| .error str => return .error <| errorI "parsing" str
| .ok syn => do
(match (← syntax_to_expr syn) with
| .error str => return .error <| errorI "elab" str
| .ok expr => return .ok expr))
| .none, .some copyFrom =>
(match env.find? <| copyFrom.toName with
| .none => return .error <| errorIndex s!"Symbol not found: {copyFrom}"
| .some cInfo => return .ok cInfo.type)
| _, _ =>
return .error <| errorI "arguments" "Exactly one of {expr, copyFrom} must be supplied")
match expr? with
| .error error => return .error error
| .ok expr =>
let goalState ← GoalState.create expr
let stateId := state.nextId
set { state with
goalStates := state.goalStates.insert stateId goalState,
nextId := state.nextId + 1
}
return .ok { stateId, root := goalState.root.name.toString }
goal_tactic (args: Protocol.GoalTactic): MainM (CR Protocol.GoalTacticResult) := do
let state ← get
match state.goalStates.find? args.stateId with
| .none => return .error $ errorIndex s!"Invalid state index {args.stateId}"
| .some goalState => do
let nextGoalState?: Except _ GoalState ← match args.tactic?, args.expr? with
| .some tactic, .none => do
pure ( Except.ok (← GoalState.execute goalState args.goalId tactic))
| .none, .some expr => do
pure ( Except.ok (← GoalState.tryAssign goalState args.goalId expr))
| _, _ => pure (Except.error <| errorI "arguments" "Exactly one of {tactic, expr} must be supplied")
match nextGoalState? with
| .error error => return .error error
| .ok (.success nextGoalState) =>
let nextStateId := state.nextId
set { state with
goalStates := state.goalStates.insert state.nextId nextGoalState,
nextId := state.nextId + 1,
}
let goals ← nextGoalState.serializeGoals (parent := .some goalState) (options := state.options)
return .ok {
nextStateId? := .some nextStateId,
goals? := .some goals,
}
| .ok (.parseError message) =>
return .ok { parseError? := .some message }
| .ok (.indexError goalId) =>
return .error $ errorIndex s!"Invalid goal id index {goalId}"
| .ok (.failure messages) =>
return .ok { tacticErrors? := .some messages }
goal_continue (args: Protocol.GoalContinue): MainM (CR Protocol.GoalContinueResult) := do
let state ← get
match state.goalStates.find? args.target with
| .none => return .error $ errorIndex s!"Invalid state index {args.target}"
| .some target => do
let nextState? ← match args.branch?, args.goals? with
| .some branchId, .none => do
match state.goalStates.find? branchId with
| .none => return .error $ errorIndex s!"Invalid state index {branchId}"
| .some branch => pure $ target.continue branch
| .none, .some goals =>
let goals := goals.map (λ name => { name := name.toName })
pure $ target.resume goals
| _, _ => return .error <| errorI "arguments" "Exactly one of {branch, goals} must be supplied"
match nextState? with
| .error error => return .ok { error? := .some error }
| .ok nextGoalState =>
let nextStateId := state.nextId
set { state with
goalStates := state.goalStates.insert nextStateId nextGoalState,
nextId := state.nextId + 1
}
let goals ← nextGoalState.serializeGoals (parent := .none) (options := state.options)
return .ok {
nextStateId? := .some nextStateId,
goals? := .some goals,
}
goal_delete (args: Protocol.GoalDelete): MainM (CR Protocol.GoalDeleteResult) := do
let state ← get
let goalStates := args.stateIds.foldl (λ map id => map.erase id) state.goalStates
set { state with goalStates }
return .ok {}
goal_print (args: Protocol.GoalPrint): MainM (CR Protocol.GoalPrintResult) := do
let state ← get
match state.goalStates.find? args.stateId with
| .none => return .error $ errorIndex s!"Invalid state index {args.stateId}"
| .some goalState => do
let root? ← goalState.rootExpr?.mapM (λ expr => serialize_expression state.options expr)
return .ok {
root?,
}
end Pantograph

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import Lean
import Pantograph.Symbol
def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
{
msgs := log.msgs.filter fun m => match m.severity with | MessageSeverity.error => true | _ => false
}
namespace Pantograph
open Lean
structure GoalState where
savedState : Elab.Tactic.SavedState
-- The root hole which is the search target
root: MVarId
-- New metavariables acquired in this state
newMVars: SSet MVarId
-- The id of the goal in the parent
parentGoalId: Nat := 0
abbrev M := Elab.TermElabM
protected def GoalState.create (expr: Expr): M GoalState := do
-- May be necessary to immediately synthesise all metavariables if we need to leave the elaboration context.
-- See https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Unknown.20universe.20metavariable/near/360130070
--Elab.Term.synthesizeSyntheticMVarsNoPostponing
--let expr ← instantiateMVars expr
let goal := (← Meta.mkFreshExprMVar expr (kind := MetavarKind.synthetic) (userName := .anonymous))
let savedStateMonad: Elab.Tactic.TacticM Elab.Tactic.SavedState := MonadBacktrack.saveState
let root := goal.mvarId!
let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals := [root]}
return {
savedState,
root,
newMVars := SSet.insert .empty root,
}
protected def GoalState.goals (state: GoalState): List MVarId := state.savedState.tactic.goals
protected def GoalState.runM {α: Type} (state: GoalState) (m: Elab.TermElabM α) : M α := do
state.savedState.term.restore
m
protected def GoalState.mctx (state: GoalState): MetavarContext :=
state.savedState.term.meta.meta.mctx
protected def GoalState.env (state: GoalState): Environment :=
state.savedState.term.meta.core.env
private def GoalState.mvars (state: GoalState): SSet MVarId :=
state.mctx.decls.foldl (init := .empty) fun acc k _ => acc.insert k
/-- Inner function for executing tactic on goal state -/
def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
M (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
| success (state: GoalState)
-- Tactic failed with messages
| failure (messages: Array String)
-- Could not parse tactic
| parseError (message: String)
-- The goal index is out of bounds
| indexError (goalId: Nat)
/-- Execute tactic on given state -/
protected def GoalState.execute (state: GoalState) (goalId: Nat) (tactic: String):
M TacticResult := do
let goal ← match state.savedState.tactic.goals.get? goalId with
| .some goal => pure $ goal
| .none => return .indexError goalId
let tactic ← match Parser.runParserCategory
(env := ← MonadEnv.getEnv)
(catName := `tactic)
(input := tactic)
(fileName := "<stdin>") 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.savedState.term.meta.meta.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.
let newMVars ← nextMCtx.decls.foldlM (fun acc mvarId mvarDecl => do
if let .some prevMVarDecl := prevMCtx.decls.find? mvarId then
assert! prevMVarDecl.type == mvarDecl.type
return acc
else
return acc.insert mvarId
) SSet.empty
return .success {
state with
savedState := nextSavedState
newMVars,
parentGoalId := goalId,
}
protected def GoalState.tryAssign (state: GoalState) (goalId: Nat) (expr: String): M TacticResult := do
let goal ← match state.savedState.tactic.goals.get? goalId with
| .some goal => pure goal
| .none => return .indexError goalId
let expr ← match Parser.runParserCategory
(env := state.env)
(catName := `term)
(input := expr)
(fileName := "<stdin>") with
| .ok syn => pure syn
| .error error => return .parseError error
let tacticM: Elab.Tactic.TacticM TacticResult := do
state.savedState.restore
Elab.Tactic.setGoals [goal]
try
let expr ← Elab.Term.elabTerm (stx := expr) (expectedType? := .none)
-- Attempt to unify the expression
let goalType ← goal.getType
let exprType ← Meta.inferType expr
if !(← Meta.isDefEq goalType exprType) then
return .failure #["Type unification failed", toString (← Meta.ppExpr goalType), toString (← Meta.ppExpr exprType)]
goal.checkNotAssigned `GoalState.tryAssign
goal.assign expr
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
else
let prevMCtx := state.savedState.term.meta.meta.mctx
let nextMCtx ← getMCtx
-- Generate a list of mvarIds that exist in the parent state; Also test the
-- assertion that the types have not changed on any mvars.
let newMVars ← nextMCtx.decls.foldlM (fun acc mvarId mvarDecl => do
if let .some prevMVarDecl := prevMCtx.decls.find? mvarId then
assert! prevMVarDecl.type == mvarDecl.type
return acc
else
return mvarId :: acc
) []
-- The new goals are the newMVars that lack an assignment
Elab.Tactic.setGoals (← newMVars.filterM (λ mvar => do pure !(← mvar.isAssigned)))
let nextSavedState ← MonadBacktrack.saveState
return .success {
state with
savedState := nextSavedState,
newMVars := newMVars.toSSet,
parentGoalId := goalId,
}
catch exception =>
return .failure #[← exception.toMessageData.toString]
tacticM { elaborator := .anonymous } |>.run' state.savedState.tactic
/--
Brings into scope a list of goals
-/
protected def GoalState.resume (state: GoalState) (goals: List MVarId): Except String GoalState :=
if ¬ (goals.all (λ goal => state.mvars.contains goal)) then
.error s!"Goals not in scope"
else
-- Set goals to the goals that have not been assigned yet, similar to the `focus` tactic.
let unassigned := goals.filter (λ goal =>
let mctx := state.mctx
¬(mctx.eAssignment.contains goal || mctx.dAssignment.contains goal))
.ok {
state with
savedState := {
term := state.savedState.term,
tactic := { goals := unassigned },
},
}
/--
Brings into scope all goals from `branch`
-/
protected def GoalState.continue (target: GoalState) (branch: GoalState): Except String GoalState :=
if !target.goals.isEmpty then
.error s!"Target state has unresolved goals"
else if target.root != branch.root then
.error s!"Roots of two continued goal states do not match: {target.root.name} != {branch.root.name}"
else
target.resume (goals := branch.goals)
protected def GoalState.rootExpr? (goalState: GoalState): Option Expr :=
let expr := goalState.mctx.eAssignment.find! goalState.root
let (expr, _) := instantiateMVarsCore (mctx := goalState.mctx) (e := expr)
if expr.hasMVar then
-- Must not assert that the goal state is empty here. We could be in a branch goal.
--assert! ¬goalState.goals.isEmpty
.none
else
assert! goalState.goals.isEmpty
.some expr
end Pantograph

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/-
All the command input/output structures are stored here
Note that no command other than `InteractionError` may have `error` as one of
its field names to avoid confusion with error messages generated by the REPL.
-/
import Lean.Data.Json
namespace Pantograph.Protocol
/-- Main Option structure, placed here to avoid name collision -/
structure Options where
-- When false, suppress newlines in Json objects. Useful for machine-to-machine interaction.
-- This should be false` by default to avoid any surprises with parsing.
printJsonPretty: Bool := false
-- When enabled, pretty print every expression
printExprPretty: Bool := true
-- When enabled, print the raw AST of expressions
printExprAST: Bool := false
-- When enabled, the types and values of persistent variables in a goal
-- are not shown unless they are new to the proof step. Reduces overhead.
-- NOTE: that this assumes the type and assignment of variables can never change.
noRepeat: Bool := false
-- See `pp.auxDecls`
printAuxDecls: Bool := false
-- See `pp.implementationDetailHyps`
printImplementationDetailHyps: Bool := false
deriving Lean.ToJson
abbrev OptionsT := ReaderT Options
--- Expression Objects ---
structure BoundExpression where
binders: Array (String × String)
target: String
deriving Lean.ToJson
structure Expression where
-- Pretty printed expression
pp?: Option String := .none
-- AST structure
sexp?: Option String := .none
deriving Lean.ToJson
structure Variable where
/-- The internal name used in raw expressions -/
name: String := ""
/-- The name displayed to the user -/
userName: String
/-- Does the name contain a dagger -/
isInaccessible?: Option Bool := .none
type?: Option Expression := .none
value?: Option Expression := .none
deriving Lean.ToJson
structure Goal where
name: String := ""
/-- Name of the metavariable -/
userName?: Option String := .none
/-- Is the goal in conversion mode -/
isConversion: Bool := false
/-- target expression type -/
target: Expression
/-- Variables -/
vars: Array Variable := #[]
deriving Lean.ToJson
--- Individual Commands and return types ---
structure Command where
cmd: String
payload: Lean.Json
deriving Lean.FromJson
structure InteractionError where
error: String
desc: String
deriving Lean.ToJson
--- Individual command and return types ---
structure Reset where
deriving Lean.FromJson
structure Stat where
deriving Lean.FromJson
structure StatResult where
-- Number of goals states
nGoals: Nat
deriving Lean.ToJson
-- Return the type of an expression
structure ExprEcho where
expr: String
deriving Lean.FromJson
structure ExprEchoResult where
expr: Expression
type: Expression
deriving Lean.ToJson
-- Print all symbols in environment
structure LibCatalog where
deriving Lean.FromJson
structure LibCatalogResult where
symbols: Array String
deriving Lean.ToJson
-- Print the type of a symbol
structure LibInspect where
name: String
-- If true/false, show/hide the value expressions; By default definitions
-- values are shown and theorem values are hidden.
value?: Option Bool := .some false
deriving Lean.FromJson
structure LibInspectResult where
type: Expression
value?: Option Expression := .none
module?: Option String
deriving Lean.ToJson
/-- Set options; See `Options` struct above for meanings -/
structure OptionsSet where
printJsonPretty?: Option Bool
printExprPretty?: Option Bool
printExprAST?: Option Bool
noRepeat?: Option Bool
printAuxDecls?: Option Bool
printImplementationDetailHyps?: Option Bool
deriving Lean.FromJson
structure OptionsSetResult where
deriving Lean.ToJson
structure OptionsPrint where
deriving Lean.FromJson
abbrev OptionsPrintResult := Options
structure GoalStart where
-- Only one of the fields below may be populated.
expr: Option String -- Directly parse in an expression
copyFrom: Option String -- Copy the type from a theorem in the environment
deriving Lean.FromJson
structure GoalStartResult where
stateId: Nat := 0
-- Name of the root metavariable
root: String
deriving Lean.ToJson
structure GoalTactic where
-- Identifiers for tree, state, and goal
stateId: Nat
goalId: Nat := 0
-- One of the fields here must be filled
tactic?: Option String := .none
expr?: Option String := .none
deriving Lean.FromJson
structure GoalTacticResult where
-- The next goal state id. Existence of this field shows success
nextStateId?: Option Nat := .none
-- If the array is empty, it shows the goals have been fully resolved.
goals?: Option (Array Goal) := .none
-- Existence of this field shows tactic execution failure
tacticErrors?: Option (Array String) := .none
-- Existence of this field shows the tactic parsing has failed
parseError?: Option String := .none
deriving Lean.ToJson
structure GoalContinue where
-- State from which the continuation acquires the context
target: Nat
-- One of the following must be supplied
-- The state which is an ancestor of `target` where goals will be extracted from
branch?: Option Nat := .none
-- Or, the particular goals that should be brought back into scope
goals?: Option (List String) := .none
deriving Lean.FromJson
structure GoalContinueResult where
error?: Option String := .none
nextStateId?: Option Nat := .none
goals?: Option (Array Goal) := .none
deriving Lean.ToJson
-- Remove goal states
structure GoalDelete where
stateIds: List Nat
deriving Lean.FromJson
structure GoalDeleteResult where
deriving Lean.ToJson
structure GoalPrint where
stateId: Nat
deriving Lean.FromJson
structure GoalPrintResult where
-- The root expression
root?: Option Expression
deriving Lean.ToJson
-- Diagnostic Options, not available in REPL
structure GoalDiag where
printContext: Bool := true
printValue: Bool := true
printNewMVars: Bool := false
-- Print all mvars
printAll: Bool := false
end Pantograph.Protocol

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/-
All serialisation functions
-/
import Lean
import Pantograph.Protocol
import Pantograph.Goal
namespace Pantograph
open Lean
--- Input Functions ---
/-- Read a theorem from the environment -/
def expr_from_const (env: Environment) (name: Name): Except String Lean.Expr :=
match env.find? name with
| none => throw s!"Symbol not found: {name}"
| some cInfo => return cInfo.type
/-- Read syntax object from string -/
def syntax_from_str (env: Environment) (s: String): Except String Syntax :=
Parser.runParserCategory
(env := env)
(catName := `term)
(input := s)
(fileName := "<stdin>")
def syntax_to_expr_type (syn: Syntax): Elab.TermElabM (Except String Expr) := do
try
let expr ← Elab.Term.elabType syn
return .ok expr
catch ex => return .error (← ex.toMessageData.toString)
def syntax_to_expr (syn: Syntax): Elab.TermElabM (Except String Expr) := do
try
let expr ← Elab.Term.elabTerm (stx := syn) (expectedType? := .none)
return .ok expr
catch ex => return .error (← ex.toMessageData.toString)
--- Output Functions ---
def type_expr_to_bound (expr: Expr): MetaM Protocol.BoundExpression := do
Meta.forallTelescope expr fun arr body => do
let binders ← arr.mapM fun fvar => do
return (toString (← fvar.fvarId!.getUserName), toString (← Meta.ppExpr (← fvar.fvarId!.getType)))
return { binders, target := toString (← Meta.ppExpr body) }
def name_to_ast (name: Name) (sanitize: Bool := true): String :=
let internal := name.isInaccessibleUserName || name.hasMacroScopes
if sanitize && internal then "_"
else toString name |> enclose_if_escaped
where
enclose_if_escaped (n: String) :=
let quote := "\""
if n.contains Lean.idBeginEscape then s!"{quote}{n}{quote}" else n
/-- serialize a sort level. Expression is optimized to be compact e.g. `(+ u 2)` -/
partial def serialize_sort_level_ast (level: Level) (sanitize: Bool): String :=
let k := level.getOffset
let u := level.getLevelOffset
let u_str := match u with
| .zero => "0"
| .succ _ => panic! "getLevelOffset should not return .succ"
| .max v w =>
let v := serialize_sort_level_ast v sanitize
let w := serialize_sort_level_ast w sanitize
s!"(:max {v} {w})"
| .imax v w =>
let v := serialize_sort_level_ast v sanitize
let w := serialize_sort_level_ast w sanitize
s!"(:imax {v} {w})"
| .param name =>
let name := name_to_ast name sanitize
s!"{name}"
| .mvar id =>
let name := name_to_ast id.name sanitize
s!"(:mv {name})"
match k, u with
| 0, _ => u_str
| _, .zero => s!"{k}"
| _, _ => s!"(+ {u_str} {k})"
/--
Completely serializes an expression tree. Json not used due to compactness
-/
partial def serialize_expression_ast (expr: Expr) (sanitize: Bool := true): String :=
self expr
where
self (e: Expr): String :=
match e with
| .bvar deBruijnIndex =>
-- This is very common so the index alone is shown. Literals are handled below.
-- The raw de Bruijn index should never appear in an unbound setting. In
-- Lean these are handled using a `#` prefix.
s!"{deBruijnIndex}"
| .fvar fvarId =>
let name := of_name fvarId.name
s!"(:fv {name})"
| .mvar mvarId =>
let name := of_name mvarId.name
s!"(:mv {name})"
| .sort level =>
let level := serialize_sort_level_ast level sanitize
s!"(:sort {level})"
| .const declName _ =>
-- The universe level of the const expression is elided since it should be
-- inferrable from surrounding expression
s!"(:c {declName})"
| .app _ _ =>
let fn' := self e.getAppFn
let args := e.getAppArgs.map self |>.toList
let args := " ".intercalate args
s!"({fn'} {args})"
| .lam binderName binderType body binderInfo =>
let binderName' := of_name binderName
let binderType' := self binderType
let body' := self body
let binderInfo' := binder_info_to_ast binderInfo
s!"(:lambda {binderName'} {binderType'} {body'}{binderInfo'})"
| .forallE binderName binderType body binderInfo =>
let binderName' := of_name binderName
let binderType' := self binderType
let body' := self body
let binderInfo' := binder_info_to_ast binderInfo
s!"(:forall {binderName'} {binderType'} {body'}{binderInfo'})"
| .letE name type value body _ =>
-- Dependent boolean flag diacarded
let name' := name_to_ast name
let type' := self type
let value' := self value
let body' := self body
s!"(:let {name'} {type'} {value'} {body'})"
| .lit v =>
-- To not burden the downstream parser who needs to handle this, the literal
-- is wrapped in a :lit sexp.
let v' := match v with
| .natVal val => toString val
| .strVal val => s!"\"{val}\""
s!"(:lit {v'})"
| .mdata _ inner =>
-- NOTE: Equivalent to expr itself, but mdata influences the prettyprinter
-- It may become necessary to incorporate the metadata.
self inner
| .proj typeName idx struct =>
let struct' := self struct
s!"(:proj {typeName} {idx} {struct'})"
-- Elides all unhygenic names
binder_info_to_ast : Lean.BinderInfo → String
| .default => ""
| .implicit => " :implicit"
| .strictImplicit => " :strictImplicit"
| .instImplicit => " :instImplicit"
of_name (name: Name) := name_to_ast name sanitize
def serialize_expression (options: Protocol.Options) (e: Expr): MetaM Protocol.Expression := do
let pp := toString (← Meta.ppExpr e)
let pp?: Option String := match options.printExprPretty with
| true => .some pp
| false => .none
let sexp: String := serialize_expression_ast e
let sexp?: Option String := match options.printExprAST with
| true => .some sexp
| false => .none
return {
pp?,
sexp?
}
/-- Adapted from ppGoal -/
def serialize_goal (options: Protocol.Options) (goal: MVarId) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl)
: MetaM Protocol.Goal := do
-- Options for printing; See Meta.ppGoal for details
let showLetValues := true
let ppAuxDecls := options.printAuxDecls
let ppImplDetailHyps := options.printImplementationDetailHyps
let lctx := mvarDecl.lctx
let lctx := lctx.sanitizeNames.run' { options := (← getOptions) }
Meta.withLCtx lctx mvarDecl.localInstances do
let ppVarNameOnly (localDecl: LocalDecl): MetaM Protocol.Variable := do
match localDecl with
| .cdecl _ fvarId userName _ _ _ =>
let userName := userName.simpMacroScopes
return {
name := of_name fvarId.name,
userName:= of_name userName.simpMacroScopes,
}
| .ldecl _ fvarId userName _ _ _ _ => do
return {
name := of_name fvarId.name,
userName := toString userName.simpMacroScopes,
}
let ppVar (localDecl : LocalDecl) : MetaM Protocol.Variable := do
match localDecl with
| .cdecl _ fvarId userName type _ _ =>
let userName := userName.simpMacroScopes
let type ← instantiateMVars type
return {
name := of_name fvarId.name,
userName:= of_name userName,
isInaccessible? := .some userName.isInaccessibleUserName
type? := .some (← serialize_expression options type)
}
| .ldecl _ fvarId userName type val _ _ => do
let userName := userName.simpMacroScopes
let type ← instantiateMVars type
let value? ← if showLetValues then
let val ← instantiateMVars val
pure $ .some (← serialize_expression options val)
else
pure $ .none
return {
name := of_name fvarId.name,
userName:= of_name userName,
isInaccessible? := .some userName.isInaccessibleUserName
type? := .some (← serialize_expression options type)
value? := value?
}
let vars ← lctx.foldlM (init := []) fun acc (localDecl : LocalDecl) => do
let skip := !ppAuxDecls && localDecl.isAuxDecl ||
!ppImplDetailHyps && localDecl.isImplementationDetail
if skip then
return acc
else
let nameOnly := options.noRepeat && (parentDecl?.map
(λ decl => decl.lctx.find? localDecl.fvarId |>.isSome) |>.getD false)
let var ← match nameOnly with
| true => ppVarNameOnly localDecl
| false => ppVar localDecl
return var::acc
return {
name := of_name goal.name,
userName? := if mvarDecl.userName == .anonymous then .none else .some (of_name mvarDecl.userName),
isConversion := isLHSGoal? mvarDecl.type |>.isSome,
target := (← serialize_expression options (← instantiateMVars mvarDecl.type)),
vars := vars.reverse.toArray
}
where
of_name (n: Name) := name_to_ast n (sanitize := false)
protected def GoalState.serializeGoals (state: GoalState) (parent: Option GoalState := .none) (options: Protocol.Options := {}): MetaM (Array Protocol.Goal):= do
let goals := state.goals.toArray
state.savedState.term.meta.restore
let parentDecl? := parent.bind (λ parentState =>
let parentGoal := parentState.goals.get! state.parentGoalId
parentState.mctx.findDecl? parentGoal)
goals.mapM fun goal => do
match state.mctx.findDecl? goal with
| .some mvarDecl =>
let serializedGoal ← serialize_goal options goal mvarDecl (parentDecl? := parentDecl?)
pure serializedGoal
| .none => throwError s!"Metavariable does not exist in context {goal.name}"
/-- Print the metavariables in a readable format -/
protected def GoalState.print (goalState: GoalState) (options: Protocol.GoalDiag := {}): MetaM Unit := do
let savedState := goalState.savedState
savedState.term.meta.restore
let goals := savedState.tactic.goals
let mctx ← getMCtx
let root := goalState.root
-- Print the root
match mctx.decls.find? root with
| .some decl => printMVar ">" root decl
| .none => IO.println s!">{root.name}: ??"
goals.forM (fun mvarId => do
if mvarId != root then
match mctx.decls.find? mvarId with
| .some decl => printMVar "⊢" mvarId decl
| .none => IO.println s!"⊢{mvarId.name}: ??"
)
let goals := goals.toSSet
mctx.decls.forM (fun mvarId decl => do
if goals.contains mvarId || mvarId == root then
pure ()
-- Always print the root goal
else if mvarId == goalState.root then
printMVar (pref := ">") mvarId decl
-- Print the remainig ones that users don't see in Lean
else if options.printAll then
let pref := if goalState.newMVars.contains mvarId then "~" else " "
printMVar pref mvarId decl
else
pure ()
--IO.println s!" {mvarId.name}{userNameToString decl.userName}"
)
where
printMVar (pref: String) (mvarId: MVarId) (decl: MetavarDecl): MetaM Unit := do
if options.printContext then
decl.lctx.fvarIdToDecl.forM printFVar
let type_sexp := serialize_expression_ast (← instantiateMVars decl.type) (sanitize := false)
IO.println s!"{pref}{mvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type} {type_sexp}"
if options.printValue then
if let Option.some value := (← getMCtx).eAssignment.find? mvarId then
IO.println s!" = {← Meta.ppExpr value}"
printFVar (fvarId: FVarId) (decl: LocalDecl): MetaM Unit := do
IO.println s!" | {fvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type}"
userNameToString : Name → String
| .anonymous => ""
| other => s!"[{other}]"
end Pantograph

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import Lean.Declaration
namespace Pantograph
def is_symbol_unsafe_or_internal (n: Lean.Name) (info: Lean.ConstantInfo): Bool :=
let nameDeduce: Bool := match n.getRoot with
| .str _ name => name.startsWith "_" name == "Lean"
| _ => true
let stemDeduce: Bool := match n with
| .anonymous => true
| .str _ name => name.startsWith "_"
| .num _ _ => true
nameDeduce stemDeduce info.isUnsafe
def to_compact_symbol_name (n: Lean.Name) (info: Lean.ConstantInfo): String :=
let pref := match info with
| .axiomInfo _ => "axiom"
| .defnInfo _ => "defn"
| .thmInfo _ => "thm"
| .opaqueInfo _ => "opaque"
| .quotInfo _ => "quot"
| .inductInfo _ => "induct"
| .ctorInfo _ => "ctor"
| .recInfo _ => "rec"
s!"{pref}|{toString n}"
def to_filtered_symbol (n: Lean.Name) (info: Lean.ConstantInfo): Option String :=
if is_symbol_unsafe_or_internal n info
then Option.none
else Option.some <| to_compact_symbol_name n info
end Pantograph

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namespace Pantograph
def version := "0.2.8"
end Pantograph

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# Pantograph
An interaction system for Lean 4.
![Pantograph](doc/icon.svg)
## Installation
Install `elan` and `lake`. Execute
``` sh
make build/bin/pantograph
```
setup the `LEAN_PATH` environment variable so it contains the library path of lean libraries. The libraries must be built in advance. For example, if `mathlib4` is stored at `../lib/mathlib4`,
``` sh
LIB="../lib"
LIB_MATHLIB="$LIB/mathlib4/lake-packages"
export LEAN_PATH="$LIB/mathlib4/build/lib:$LIB_MATHLIB/aesop/build/lib:$LIB_MATHLIB/Qq/build/lib:$LIB_MATHLIB/std/build/lib"
LEAN_PATH=$LEAN_PATH build/bin/pantograph $@
```
The provided `flake.nix` has a develop environment with Lean already setup.
## Usage
``` sh
pantograph MODULES|LEAN_OPTIONS
```
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": ... }
```
The list of available commands can be found in `Pantograph/Protocol.lean` and below. An
empty command aborts the REPL.
The `pantograph` executable must be run with a list of modules to import. It can
also accept lean options of the form `--key=value` e.g. `--pp.raw=true`.
Example: (~5k symbols)
```
$ pantograph Init
lib.catalog
lib.inspect {"name": "Nat.le_add_left"}
```
Example with `mathlib4` (~90k symbols, may stack overflow, see troubleshooting)
```
$ pantograph Mathlib.Analysis.Seminorm
lib.catalog
```
Example proving a theorem: (alternatively use `goal.start {"copyFrom": "Nat.add_comm"}`) to prime the proof
```
$ pantograph Init
goal.start {"expr": "∀ (n m : Nat), n + m = m + n"}
goal.tactic {"stateId": 0, "goalId": 0, "tactic": "intro n m"}
goal.tactic {"stateId": 1, "goalId": 0, "tactic": "assumption"}
goal.delete {"stateIds": [0]}
stat {}
goal.tactic {"stateId": 1, "goalId": 0, "tactic": "rw [Nat.add_comm]"}
stat
```
where the application of `assumption` should lead to a failure.
## Commands
See `Pantograph/Protocol.lean` for a description of the parameters and return values in JSON.
- `reset`: Delete all cached expressions and proof trees
- `expr.echo {"expr": <expr>}`: Determine the type of an expression and round-trip it
- `lib.catalog`: Display a list of all safe Lean symbols in the current context
- `lib.inspect {"name": <name>, "value": <bool>}`: Show the type and package of a
given symbol; If value flag is set, the value is printed or hidden. By default
only the values of definitions are printed.
- `options.set { key: value, ... }`: Set one or more options (not Lean options; those
have to be set via command line arguments.), for options, see `Pantograph/Protocol.lean`
- `options.print`: Display the current set of options
- `goal.start {["name": <name>], ["expr": <expr>], ["copyFrom": <symbol>]}`: Start a new goal from a given expression or symbol
- `goal.tactic {"stateId": <id>, "goalId": <id>, ["tactic": <tactic>], ["expr": <expr>]}`: Execute a tactic string on a given goal
- `goal.continue {"stateId": <id>, ["branch": <id>], ["goals": <names>]}`: Continue from a proof state
- `goal.remove {"stateIds": [<id>]}"`: Remove a bunch of stored goals.
- `goal.print {"stateId": <id>}"`: Print a goal state
- `stat`: Display resource usage
## Errors
When an error pertaining to the execution of a command happens, the returning JSON structure is
``` json
{ error: "type", desc: "description" }
```
Common error forms:
* `command`: Indicates malformed command structure which results from either
invalid command or a malformed JSON structure that cannot be fed to an
individual command.
* `index`: Indicates an invariant maintained by the output of one command and
input of another is broken. For example, attempting to query a symbol not
existing in the library or indexing into a non-existent proof state.
## Troubleshooting
If lean encounters stack overflow problems when printing catalog, execute this before running lean:
```sh
ulimit -s unlimited
```
## Testing
The tests are based on `LSpec`. To run tests,
``` sh
make test
```

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import Pantograph.Protocol
import Pantograph.Goal
import LSpec
namespace Pantograph
namespace Protocol
/-- Set internal names to "" -/
def Goal.devolatilize (goal: Goal): Goal :=
{
goal with
name := "",
vars := goal.vars.map removeInternalAux,
}
where removeInternalAux (v: Variable): Variable :=
{
v with
name := ""
}
deriving instance DecidableEq, Repr for Expression
deriving instance DecidableEq, Repr for Variable
deriving instance DecidableEq, Repr for Goal
end Protocol
def TacticResult.toString : TacticResult → String
| .success state => s!".success ({state.goals.length} goals)"
| .failure messages =>
let messages := "\n".intercalate messages.toList
s!".failure {messages}"
| .parseError error => s!".parseError {error}"
| .indexError index => s!".indexError {index}"
def assertUnreachable (message: String): LSpec.TestSeq := LSpec.check message false
end Pantograph

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import LSpec
import Pantograph.Goal
import Pantograph.Serial
import Test.Common
namespace Pantograph.Test.Holes
open Pantograph
open Lean
abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
def addTest (test: LSpec.TestSeq): TestM Unit := do
set $ (← get) ++ test
def startProof (expr: String): TestM (Option GoalState) := do
let env ← Lean.MonadEnv.getEnv
let syn? := syntax_from_str env expr
addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
match syn? with
| .error error =>
IO.println error
return Option.none
| .ok syn =>
let expr? ← syntax_to_expr_type syn
addTest $ LSpec.check s!"Elaborating" expr?.isOk
match expr? with
| .error error =>
IO.println error
return Option.none
| .ok expr =>
let goal ← GoalState.create (expr := expr)
return Option.some goal
def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal :=
{
userName?,
target := { pp? := .some target},
vars := (nameType.map fun x => ({
userName := x.fst,
type? := .some { pp? := .some x.snd },
isInaccessible? := .some false
})).toArray
}
def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
let coreContext: Lean.Core.Context := {
currNamespace := Name.append .anonymous "Aniva",
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph>",
fileMap := { source := "", positions := #[0], lines := #[1] }
}
let metaM := termElabM.run' (ctx := {
declName? := some "_pantograph",
errToSorry := false
})
let coreM := metaM.run'
match ← (coreM.run' coreContext { env := env }).toBaseIO with
| .error exception =>
return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
| .ok (_, a) =>
return a
/-- M-coupled goals -/
def test_m_couple: TestM Unit := do
let state? ← startProof "(2: Nat) ≤ 5"
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
-- Set m to 3
let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 3") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.test "(1b root)" state2.rootExpr?.isNone
let state1b ← match state2.continue state1 with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "exact 3" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "2 ≤ 3", .some "3 ≤ 5"])
addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
return ()
def test_proposition_generation: TestM Unit := do
let state? ← startProof "Σ' p:Prop, p"
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply PSigma.mk") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply PSigma.mk" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
#[
buildGoal [] "?fst" (userName? := .some "snd"),
buildGoal [] "Prop" (userName? := .some "fst")
])
if let #[goal1, goal2] := ← state1.serializeGoals (options := { (← read) with printExprAST := true }) then
addTest $ LSpec.test "(1 reference)" (goal1.target.sexp? = .some s!"(:mv {goal2.name})")
addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
let state2 ← match ← state1.tryAssign (goalId := 0) (expr := "λ (x: Nat) => _") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check ":= λ (x: Nat), _" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "Nat → Prop", .some "∀ (x : Nat), ?m.29 x"])
addTest $ LSpec.test "(2 root)" state2.rootExpr?.isNone
let state3 ← match ← state2.tryAssign (goalId := 1) (expr := "fun x => Eq.refl x") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check ":= Eq.refl" ((← state3.serializeGoals (options := ← read)).map (·.target.pp?) =
#[])
addTest $ LSpec.test "(3 root)" state3.rootExpr?.isSome
return ()
def test_partial_continuation: TestM Unit := do
let state? ← startProof "(2: Nat) ≤ 5"
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"])
let state2 ← match ← state1.execute (goalId := 2) (tactic := "apply Nat.succ") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "apply Nat.succ" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "Nat"])
-- Execute a partial continuation
let coupled_goals := state1.goals ++ state2.goals
let state1b ← match state2.resume (goals := coupled_goals) with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "2 ≤ Nat.succ ?m", .some "Nat.succ ?m ≤ 5", .some "Nat"])
addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
-- Roundtrip
--let coupled_goals := coupled_goals.map (λ g =>
-- { name := str_to_name $ name_to_ast g.name (sanitize := false)})
let coupled_goals := coupled_goals.map (λ g => name_to_ast g.name (sanitize := false))
let coupled_goals := coupled_goals.map (λ g => { name := g.toName })
let state1b ← match state2.resume (goals := coupled_goals) with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) =
#[.some "2 ≤ Nat.succ ?m", .some "Nat.succ ?m ≤ 5", .some "Nat"])
addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone
-- Continuation should fail if the state does not exist:
match state0.resume coupled_goals with
| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals not in scope")
| .ok _ => addTest $ assertUnreachable "(continuation failure)"
-- Continuation should fail if some goals have not been solved
match state2.continue state1 with
| .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Target state has unresolved goals")
| .ok _ => addTest $ assertUnreachable "(continuation failure)"
return ()
def suite: IO LSpec.TestSeq := do
let env: Lean.Environment ← Lean.importModules
(imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
let tests := [
("2 < 5", test_m_couple),
("Proposition Generation", test_proposition_generation),
("Partial Continuation", test_partial_continuation)
]
let tests ← tests.foldlM (fun acc tests => do
let (name, tests) := tests
let tests ← proofRunner env tests
return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
return LSpec.group "Holes" tests
end Pantograph.Test.Holes

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/- Integration test for the REPL
-/
import LSpec
import Pantograph
namespace Pantograph.Test.Integration
open Pantograph
def subroutine_named_step (name cmd: String) (payload: List (String × Lean.Json))
(expected: Lean.Json): MainM LSpec.TestSeq := do
let result ← execute { cmd := cmd, payload := Lean.Json.mkObj payload }
return LSpec.test name (toString result = toString expected)
def subroutine_step (cmd: String) (payload: List (String × Lean.Json))
(expected: Lean.Json): MainM LSpec.TestSeq := subroutine_named_step cmd cmd payload expected
def subroutine_runner (steps: List (MainM LSpec.TestSeq)): IO LSpec.TestSeq := do
-- Setup the environment for execution
let env ← Lean.importModules
(imports := #[{module := Lean.Name.str .anonymous "Init", runtimeOnly := false }])
(opts := {})
(trustLevel := 1)
let context: Context := {
imports := ["Init"]
}
let coreContext: Lean.Core.Context := {
currNamespace := Lean.Name.str .anonymous "Aniva"
openDecls := [],
fileName := "<Test>",
fileMap := { source := "", positions := #[0], lines := #[1] },
options := Lean.Options.empty
}
let commands: MainM LSpec.TestSeq :=
steps.foldlM (λ suite step => do
let result ← step
return suite ++ result) LSpec.TestSeq.done
try
let termElabM := commands.run context |>.run' {}
let metaM := termElabM.run' (ctx := {
declName? := some "_pantograph",
errToSorry := false
})
let coreM := metaM.run'
return Prod.fst $ (← coreM.toIO coreContext { env := env })
catch ex =>
return LSpec.check s!"Uncaught IO exception: {ex.toString}" false
def test_option_modify : IO LSpec.TestSeq :=
let pp? := Option.some "∀ (n : Nat), n + 1 = Nat.succ n"
let sexp? := Option.some "(:forall n (:c Nat) ((:c Eq) (:c Nat) ((:c HAdd.hAdd) (:c Nat) (:c Nat) (:c Nat) ((:c instHAdd) (:c Nat) (:c instAddNat)) 0 ((:c OfNat.ofNat) (:c Nat) (:lit 1) ((:c instOfNatNat) (:lit 1)))) ((:c Nat.succ) 0)))"
let module? := Option.some "Init.Data.Nat.Basic"
let options: Protocol.Options := {}
subroutine_runner [
subroutine_step "lib.inspect"
[("name", .str "Nat.add_one")]
(Lean.toJson ({
type := { pp? }, module? }:
Protocol.LibInspectResult)),
subroutine_step "options.set"
[("printExprAST", .bool true)]
(Lean.toJson ({ }:
Protocol.OptionsSetResult)),
subroutine_step "lib.inspect"
[("name", .str "Nat.add_one")]
(Lean.toJson ({
type := { pp?, sexp? }, module? }:
Protocol.LibInspectResult)),
subroutine_step "options.print"
[]
(Lean.toJson ({ options with printExprAST := true }:
Protocol.OptionsPrintResult))
]
def test_malformed_command : IO LSpec.TestSeq :=
let invalid := "invalid"
subroutine_runner [
subroutine_named_step "Invalid command" invalid
[("name", .str "Nat.add_one")]
(Lean.toJson ({
error := "command", desc := s!"Unknown command {invalid}"}:
Protocol.InteractionError)),
subroutine_named_step "JSON Deserialization" "expr.echo"
[(invalid, .str "Random garbage data")]
(Lean.toJson ({
error := "command", desc := s!"Unable to parse json: Pantograph.Protocol.ExprEcho.expr: String expected"}:
Protocol.InteractionError))
]
def test_tactic : IO LSpec.TestSeq :=
let goal1: Protocol.Goal := {
name := "_uniq.10",
target := { pp? := .some "∀ (q : Prop), x q → q x" },
vars := #[{ name := "_uniq.9", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}],
}
let goal2: Protocol.Goal := {
name := "_uniq.13",
target := { pp? := .some "x y → y x" },
vars := #[
{ name := "_uniq.9", userName := "x", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }},
{ name := "_uniq.12", userName := "y", isInaccessible? := .some false, type? := .some { pp? := .some "Prop" }}
],
}
subroutine_runner [
subroutine_step "goal.start"
[("expr", .str "∀ (p q: Prop), p q → q p")]
(Lean.toJson ({stateId := 0, root := "_uniq.8"}:
Protocol.GoalStartResult)),
subroutine_step "goal.tactic"
[("stateId", .num 0), ("goalId", .num 0), ("tactic", .str "intro x")]
(Lean.toJson ({
nextStateId? := .some 1,
goals? := #[goal1],
}:
Protocol.GoalTacticResult)),
subroutine_step "goal.tactic"
[("stateId", .num 1), ("goalId", .num 0), ("tactic", .str "intro y")]
(Lean.toJson ({
nextStateId? := .some 2,
goals? := #[goal2],
}:
Protocol.GoalTacticResult))
]
def suite: IO LSpec.TestSeq := do
return LSpec.group "Integration" $
(LSpec.group "Option modify" (← test_option_modify)) ++
(LSpec.group "Malformed command" (← test_malformed_command)) ++
(LSpec.group "Tactic" (← test_tactic))
end Pantograph.Test.Integration

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import LSpec
import Test.Holes
import Test.Integration
import Test.Proofs
import Test.Serial
open Pantograph.Test
def main := do
Lean.initSearchPath (← Lean.findSysroot)
let suites := [
Holes.suite,
Integration.suite,
Proofs.suite,
Serial.suite
]
let all ← suites.foldlM (λ acc m => do pure $ acc ++ (← m)) LSpec.TestSeq.done
LSpec.lspecIO $ all

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/-
Tests pertaining to goals with no interdependencies
-/
import LSpec
import Pantograph.Goal
import Pantograph.Serial
import Test.Common
namespace Pantograph.Test.Proofs
open Pantograph
open Lean
inductive Start where
| copy (name: String) -- Start from some name in the environment
| expr (expr: String) -- Start from some expression
abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
def addTest (test: LSpec.TestSeq): TestM Unit := do
set $ (← get) ++ test
def startProof (start: Start): TestM (Option GoalState) := do
let env ← Lean.MonadEnv.getEnv
match start with
| .copy name =>
let cInfo? := name.toName |> env.find?
addTest $ LSpec.check s!"Symbol exists {name}" cInfo?.isSome
match cInfo? with
| .some cInfo =>
let goal ← GoalState.create (expr := cInfo.type)
return Option.some goal
| .none =>
return Option.none
| .expr expr =>
let syn? := syntax_from_str env expr
addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
match syn? with
| .error error =>
IO.println error
return Option.none
| .ok syn =>
let expr? ← syntax_to_expr_type syn
addTest $ LSpec.check s!"Elaborating" expr?.isOk
match expr? with
| .error error =>
IO.println error
return Option.none
| .ok expr =>
let goal ← GoalState.create (expr := expr)
return Option.some goal
def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal :=
{
userName?,
target := { pp? := .some target},
vars := (nameType.map fun x => ({
userName := x.fst,
type? := .some { pp? := .some x.snd },
isInaccessible? := .some false
})).toArray
}
def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
let coreContext: Lean.Core.Context := {
currNamespace := Name.append .anonymous "Aniva",
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph>",
fileMap := { source := "", positions := #[0], lines := #[1] }
}
let metaM := termElabM.run' (ctx := {
declName? := some "_pantograph",
errToSorry := false
})
let coreM := metaM.run'
match ← (coreM.run' coreContext { env := env }).toBaseIO with
| .error exception =>
return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
| .ok (_, a) =>
return a
-- Individual test cases
example: ∀ (a b: Nat), a + b = b + a := by
intro n m
rw [Nat.add_comm]
def proof_nat_add_comm (manual: Bool): TestM Unit := do
let state? ← startProof <| match manual with
| false => .copy "Nat.add_comm"
| true => .expr "∀ (a b: Nat), a + b = b + a"
addTest $ LSpec.check "Start goal" state?.isSome
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro n m") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "intro n m" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
#[buildGoal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"])
match ← state1.execute (goalId := 0) (tactic := "assumption") with
| .failure #[message] =>
addTest $ LSpec.check "assumption" (message = "tactic 'assumption' failed\nn m : Nat\n⊢ n + m = m + n")
| other => do
addTest $ assertUnreachable $ other.toString
let state2 ← match ← state1.execute (goalId := 0) (tactic := "rw [Nat.add_comm]") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.test "rw [Nat.add_comm]" state2.goals.isEmpty
return ()
def proof_delta_variable: TestM Unit := do
let options: Protocol.Options := { noRepeat := true }
let state? ← startProof <| .expr "∀ (a b: Nat), a + b = b + a"
addTest $ LSpec.check "Start goal" state?.isSome
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro n") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "intro n" ((← state1.serializeGoals (parent := state0) options).map (·.devolatilize) =
#[buildGoalSelective [("n", .some "Nat")] "∀ (b : Nat), n + b = b + n"])
let state2 ← match ← state1.execute (goalId := 0) (tactic := "intro m") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "intro m" ((← state2.serializeGoals (parent := state1) options).map (·.devolatilize) =
#[buildGoalSelective [("n", .none), ("m", .some "Nat")] "n + m = m + n"])
return ()
where
-- Like `buildGoal` but allow certain variables to be elided.
buildGoalSelective (nameType: List (String × Option String)) (target: String): Protocol.Goal :=
{
target := { pp? := .some target},
vars := (nameType.map fun x => ({
userName := x.fst,
type? := x.snd.map (λ type => { pp? := type }),
isInaccessible? := x.snd.map (λ _ => false)
})).toArray
}
example (w x y z : Nat) (p : Nat → Prop)
(h : p (x * y + z * w * x)) : p (x * w * z + y * x) := by
simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *
assumption
def proof_arith: TestM Unit := do
let state? ← startProof (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)")
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "intros") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "intros" (state1.goals.length = 1)
addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone
let state2 ← match ← state1.execute (goalId := 0) (tactic := "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "simp ..." (state2.goals.length = 1)
addTest $ LSpec.check "(2 root)" state2.rootExpr?.isNone
let state3 ← match ← state2.execute (goalId := 0) (tactic := "assumption") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.test "assumption" state3.goals.isEmpty
addTest $ LSpec.check "(3 root)" state3.rootExpr?.isSome
return ()
-- Two ways to write the same theorem
example: ∀ (p q: Prop), p q → q p := by
intro p q h
cases h
apply Or.inr
assumption
apply Or.inl
assumption
example: ∀ (p q: Prop), p q → q p := by
intro p q h
cases h
. apply Or.inr
assumption
. apply Or.inl
assumption
def proof_or_comm: TestM Unit := do
let state? ← startProof (.expr "∀ (p q: Prop), p q → q p")
let state0 ← match state? with
| .some state => pure state
| .none => do
addTest $ assertUnreachable "Goal could not parse"
return ()
let state1 ← match ← state0.execute (goalId := 0) (tactic := "intro p q h") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "intro n m" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) =
#[buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p q")] "q p"])
let state2 ← match ← state1.execute (goalId := 0) (tactic := "cases h") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "cases h" ((← state2.serializeGoals (options := ← read)).map (·.devolatilize) =
#[branchGoal "inl" "p", branchGoal "inr" "q"])
let state3_1 ← match ← state2.execute (goalId := 0) (tactic := "apply Or.inr") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "· apply Or.inr" (state3_1.goals.length = 1)
let state4_1 ← match ← state3_1.execute (goalId := 0) (tactic := "assumption") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check " assumption" state4_1.goals.isEmpty
addTest $ LSpec.check "(4_1 root)" state4_1.rootExpr?.isNone
let state3_2 ← match ← state2.execute (goalId := 1) (tactic := "apply Or.inl") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "· apply Or.inl" (state3_2.goals.length = 1)
let state4_2 ← match ← state3_2.execute (goalId := 0) (tactic := "assumption") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check " assumption" state4_2.goals.isEmpty
addTest $ LSpec.check "(4_2 root)" state4_2.rootExpr?.isNone
-- Ensure the proof can continue from `state4_2`.
let state2b ← match state4_2.continue state2 with
| .error msg => do
addTest $ assertUnreachable $ msg
return ()
| .ok state => pure state
addTest $ LSpec.test "(resume)" (state2b.goals == [state2.goals.get! 0])
let state3_1 ← match ← state2b.execute (goalId := 0) (tactic := "apply Or.inr") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check "· apply Or.inr" (state3_1.goals.length = 1)
let state4_1 ← match ← state3_1.execute (goalId := 0) (tactic := "assumption") with
| .success state => pure state
| other => do
addTest $ assertUnreachable $ other.toString
return ()
addTest $ LSpec.check " assumption" state4_1.goals.isEmpty
addTest $ LSpec.check "(4_1 root)" state4_1.rootExpr?.isSome
return ()
where
typeProp: Protocol.Expression := { pp? := .some "Prop" }
branchGoal (caseName varName: String): Protocol.Goal := {
userName? := .some caseName,
target := { pp? := .some "q p" },
vars := #[
{ userName := "p", type? := .some typeProp, isInaccessible? := .some false },
{ userName := "q", type? := .some typeProp, isInaccessible? := .some false },
{ userName := "h✝", type? := .some { pp? := .some varName }, isInaccessible? := .some true }
]
}
def suite: IO LSpec.TestSeq := do
let env: Lean.Environment ← Lean.importModules
(imports := #[{ module := Name.append .anonymous "Init", runtimeOnly := false}])
(opts := {})
(trustLevel := 1)
let tests := [
("Nat.add_comm", proof_nat_add_comm false),
("Nat.add_comm manual", proof_nat_add_comm true),
("Nat.add_comm delta", proof_delta_variable),
("arithmetic", proof_arith),
("Or.comm", proof_or_comm)
]
let tests ← tests.foldlM (fun acc tests => do
let (name, tests) := tests
let tests ← proofRunner env tests
return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
return LSpec.group "Proofs" tests
end Pantograph.Test.Proofs

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import LSpec
import Pantograph.Serial
import Pantograph.Symbol
namespace Pantograph.Test.Serial
open Pantograph
open Lean
deriving instance Repr, DecidableEq for Protocol.BoundExpression
def test_name_to_ast: LSpec.TestSeq :=
let quote := "\""
let escape := "\\"
LSpec.test "a.b.1" (name_to_ast (Name.num (.str (.str .anonymous "a") "b") 1) = "a.b.1") ++
LSpec.test "seg.«a.b»" (name_to_ast (Name.str (.str .anonymous "seg") "a.b") = s!"{quote}seg.«a.b»{quote}") ++
-- Pathological test case
LSpec.test s!"«̈{escape}{quote}»" (name_to_ast (Name.str .anonymous s!"{escape}{quote}") = s!"{quote}«{escape}{quote}»{quote}")
def test_expr_to_binder (env: Environment): IO LSpec.TestSeq := do
let entries: List (Name × Protocol.BoundExpression) := [
("Nat.add_comm".toName, { binders := #[("n", "Nat"), ("m", "Nat")], target := "n + m = m + n" }),
("Nat.le_of_succ_le".toName, { binders := #[("n", "Nat"), ("m", "Nat"), ("h", "Nat.succ n ≤ m")], target := "n ≤ m" })
]
let coreM: CoreM LSpec.TestSeq := entries.foldlM (λ suites (symbol, target) => do
let env ← MonadEnv.getEnv
let expr := env.find? symbol |>.get! |>.type
let test := LSpec.check symbol.toString ((← type_expr_to_bound expr) = target)
return LSpec.TestSeq.append suites test) LSpec.TestSeq.done |>.run'
let coreContext: Core.Context := {
currNamespace := Lean.Name.str .anonymous "Aniva"
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph/Test>",
fileMap := { source := "", positions := #[0], lines := #[1] }
}
match ← (coreM.run' coreContext { env := env }).toBaseIO with
| .error exception =>
return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
| .ok a => return a
def test_sexp_of_symbol (env: Environment): IO LSpec.TestSeq := do
let entries: List (String × String) := [
-- This one contains unhygienic variable names which must be suppressed
("Nat.add", "(:forall _ (:c Nat) (:forall _ (:c Nat) (:c Nat)))"),
-- These ones are normal and easy
("Nat.add_one", "(:forall n (:c Nat) ((:c Eq) (:c Nat) ((:c HAdd.hAdd) (:c Nat) (:c Nat) (:c Nat) ((:c instHAdd) (:c Nat) (:c instAddNat)) 0 ((:c OfNat.ofNat) (:c Nat) (:lit 1) ((:c instOfNatNat) (:lit 1)))) ((:c Nat.succ) 0)))"),
("Nat.le_of_succ_le", "(:forall n (:c Nat) (:forall m (:c Nat) (:forall h ((:c LE.le) (:c Nat) (:c instLENat) ((:c Nat.succ) 1) 0) ((:c LE.le) (:c Nat) (:c instLENat) 2 1)) :implicit) :implicit)"),
-- Handling of higher order types
("Or", "(:forall a (:sort 0) (:forall b (:sort 0) (:sort 0)))"),
("List", "(:forall α (:sort (+ u 1)) (:sort (+ u 1)))")
]
let metaM: MetaM LSpec.TestSeq := entries.foldlM (λ suites (symbol, target) => do
let env ← MonadEnv.getEnv
let expr := env.find? symbol.toName |>.get! |>.type
let test := LSpec.check symbol ((serialize_expression_ast expr) = target)
return LSpec.TestSeq.append suites test) LSpec.TestSeq.done
let coreM := metaM.run'
let coreContext: Core.Context := {
currNamespace := Lean.Name.str .anonymous "Aniva"
openDecls := [], -- No 'open' directives needed
fileName := "<Pantograph/Test>",
fileMap := { source := "", positions := #[0], lines := #[1] }
}
match ← (coreM.run' coreContext { env := env }).toBaseIO with
| .error exception =>
return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "")
| .ok a => return a
def suite: IO LSpec.TestSeq := do
let env: Environment ← importModules
(imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false }))
(opts := {})
(trustLevel := 1)
return LSpec.group "Serialization" $
(LSpec.group "name_to_ast" test_name_to_ast) ++
(LSpec.group "Expression binder" (← test_expr_to_binder env)) ++
(LSpec.group "Sexp from symbol" (← test_sexp_of_symbol env))
end Pantograph.Test.Serial

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{
"nodes": {
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},
"locked": {
"lastModified": 1696343447,
"narHash": "sha256-B2xAZKLkkeRFG5XcHHSXXcP7To9Xzr59KXeZiRf4vdQ=",
"owner": "hercules-ci",
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},
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"narHash": "sha256-RIFfgBuKz6Hp89yRr7+NR5tzIAbn52h8vT6vXkYjZoM=",
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"lean4-mode": "lean4-mode",
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},
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}
},
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}
},
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"type": "github"
},
"original": {
"owner": "nixos",
"ref": "nixos-unstable",
"repo": "nixpkgs",
"type": "github"
}
},
"root": {
"inputs": {
"flake-parts": "flake-parts",
"lean": "lean",
"nixpkgs": "nixpkgs_3"
}
}
},
"root": "root",
"version": 7
}

38
flake.nix Normal file
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@ -0,0 +1,38 @@
{
description = "Pantograph";
inputs = {
nixpkgs.url = "github:nixos/nixpkgs/nixos-unstable";
flake-parts.url = "github:hercules-ci/flake-parts";
lean.url = "github:leanprover/lean4?ref=v4.1.0";
};
outputs = inputs @ {
self,
nixpkgs,
flake-parts,
lean,
...
} : flake-parts.lib.mkFlake { inherit inputs; } {
flake = {
};
systems = [
"x86_64-linux"
"x86_64-darwin"
];
perSystem = { system, pkgs, ... }: let
leanPkgs = lean.packages.${system};
project = leanPkgs.buildLeanPackage {
name = "Pantograph";
roots = [ "Main" "Pantograph" ];
src = ./.;
};
in rec {
packages = project // {
inherit (leanPkgs) lean;
default = packages.executable;
};
devShells.default = project.devShell;
};
};
}

11
lake-manifest.json Normal file
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@ -0,0 +1,11 @@
{"version": 5,
"packagesDir": "lake-packages",
"packages":
[{"git":
{"url": "https://github.com/lurk-lab/LSpec.git",
"subDir?": null,
"rev": "88f7d23e56a061d32c7173cea5befa4b2c248b41",
"opts": {},
"name": "LSpec",
"inputRev?": "88f7d23e56a061d32c7173cea5befa4b2c248b41",
"inherited": false}}]}

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@ -1,19 +1,24 @@
import Lake
open Lake DSL
package pantograph {
-- add package configuration options here
}
require mathlib from git
"https://github.com/leanprover-community/mathlib4.git" @ "8e5a00a8afc8913c0584cb85f37951995275fd87"
package pantograph
lean_lib Pantograph {
-- add library configuration options here
}
@[default_target]
lean_exe pantograph {
root := `Main
-- Somehow solves the native symbol not found problem
supportInterpreter := true
}
require LSpec from git
"https://github.com/lurk-lab/LSpec.git" @ "88f7d23e56a061d32c7173cea5befa4b2c248b41"
lean_lib Test {
}
lean_exe test {
root := `Test.Main
-- Somehow solves the native symbol not found problem
supportInterpreter := true
}

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@ -1 +1 @@
leanprover/lean4:nightly-2023-05-06
leanprover/lean4:4.1.0