Enable handling of m-Coupled goals #20
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@ -8,7 +8,7 @@ import Pantograph
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open Pantograph
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open Pantograph
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/-- Parse a command either in `{ "cmd": ..., "payload": ... }` form or `cmd { ... }` form. -/
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/-- Parse a command either in `{ "cmd": ..., "payload": ... }` form or `cmd { ... }` form. -/
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def parse_command (s: String): Except String Commands.Command := do
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def parseCommand (s: String): Except String Protocol.Command := do
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let s := s.trim
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let s := s.trim
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match s.get? 0 with
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match s.get? 0 with
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| .some '{' => -- Parse in Json mode
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| .some '{' => -- Parse in Json mode
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@ -26,9 +26,9 @@ unsafe def loop : MainM Unit := do
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let state ← get
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let state ← get
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let command ← (← IO.getStdin).getLine
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let command ← (← IO.getStdin).getLine
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if command.trim.length = 0 then return ()
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if command.trim.length = 0 then return ()
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match parse_command command with
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match parseCommand command with
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| .error error =>
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| .error error =>
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let error := Lean.toJson ({ error := "command", desc := error }: Commands.InteractionError)
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let error := Lean.toJson ({ error := "command", desc := error }: Protocol.InteractionError)
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-- Using `Lean.Json.compress` here to prevent newline
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-- Using `Lean.Json.compress` here to prevent newline
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IO.println error.compress
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IO.println error.compress
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| .ok command =>
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| .ok command =>
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@ -1,8 +1,8 @@
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import Pantograph.Commands
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import Pantograph.Serial
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import Pantograph.Symbols
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import Pantograph.Goal
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import Pantograph.Goal
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import Pantograph.Protocol
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import Pantograph.SemihashMap
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import Pantograph.SemihashMap
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import Pantograph.Serial
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import Pantograph.Symbol
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namespace Pantograph
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namespace Pantograph
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@ -11,16 +11,16 @@ structure Context where
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/-- Stores state of the REPL -/
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/-- Stores state of the REPL -/
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structure State where
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structure State where
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options: Commands.Options := {}
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options: Protocol.Options := {}
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goalStates: SemihashMap GoalState := SemihashMap.empty
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goalStates: SemihashMap GoalState := SemihashMap.empty
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-- State monad
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/-- Main state monad for executing commands -/
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abbrev MainM := ReaderT Context (StateT State Lean.Elab.TermElabM)
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abbrev MainM := ReaderT Context (StateT State Lean.Elab.TermElabM)
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-- For some reason writing `CommandM α := MainM (Except ... α)` disables certain
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-- HACK: For some reason writing `CommandM α := MainM (Except ... α)` disables
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-- monadic features in `MainM`
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-- certain monadic features in `MainM`
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abbrev CR α := Except Commands.InteractionError α
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abbrev CR α := Except Protocol.InteractionError α
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def execute (command: Commands.Command): MainM Lean.Json := do
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def execute (command: Protocol.Command): MainM Lean.Json := do
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let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
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let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
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match Lean.fromJson? command.payload with
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match Lean.fromJson? command.payload with
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| .ok args => do
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| .ok args => do
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@ -40,31 +40,31 @@ def execute (command: Commands.Command): MainM Lean.Json := do
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| "goal.tactic" => run goal_tactic
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| "goal.tactic" => run goal_tactic
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| "goal.delete" => run goal_delete
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| "goal.delete" => run goal_delete
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| cmd =>
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| cmd =>
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let error: Commands.InteractionError :=
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let error: Protocol.InteractionError :=
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errorCommand s!"Unknown command {cmd}"
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errorCommand s!"Unknown command {cmd}"
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return Lean.toJson error
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return Lean.toJson error
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where
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where
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errorI (type desc: String): Commands.InteractionError := { error := type, desc := desc }
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errorI (type desc: String): Protocol.InteractionError := { error := type, desc := desc }
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errorCommand := errorI "command"
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errorCommand := errorI "command"
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errorIndex := errorI "index"
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errorIndex := errorI "index"
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-- Command Functions
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-- Command Functions
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reset (_: Commands.Reset): MainM (CR Commands.StatResult) := do
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reset (_: Protocol.Reset): MainM (CR Protocol.StatResult) := do
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let state ← get
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let state ← get
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let nGoals := state.goalStates.size
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let nGoals := state.goalStates.size
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set { state with goalStates := SemihashMap.empty }
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set { state with goalStates := SemihashMap.empty }
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return .ok { nGoals }
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return .ok { nGoals }
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stat (_: Commands.Stat): MainM (CR Commands.StatResult) := do
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stat (_: Protocol.Stat): MainM (CR Protocol.StatResult) := do
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let state ← get
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let state ← get
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let nGoals := state.goalStates.size
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let nGoals := state.goalStates.size
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return .ok { nGoals }
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return .ok { nGoals }
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lib_catalog (_: Commands.LibCatalog): MainM (CR Commands.LibCatalogResult) := do
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lib_catalog (_: Protocol.LibCatalog): MainM (CR Protocol.LibCatalogResult) := do
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let env ← Lean.MonadEnv.getEnv
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let env ← Lean.MonadEnv.getEnv
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let names := env.constants.fold (init := #[]) (λ acc name info =>
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let names := env.constants.fold (init := #[]) (λ acc name info =>
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match to_filtered_symbol name info with
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match to_filtered_symbol name info with
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| .some x => acc.push x
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| .some x => acc.push x
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| .none => acc)
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| .none => acc)
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return .ok { symbols := names }
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return .ok { symbols := names }
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lib_inspect (args: Commands.LibInspect): MainM (CR Commands.LibInspectResult) := do
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lib_inspect (args: Protocol.LibInspect): MainM (CR Protocol.LibInspectResult) := do
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let state ← get
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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let env ← Lean.MonadEnv.getEnv
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let name := str_to_name args.name
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let name := str_to_name args.name
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@ -84,7 +84,7 @@ def execute (command: Commands.Command): MainM Lean.Json := do
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value? := ← value?.mapM (λ v => serialize_expression state.options v),
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value? := ← value?.mapM (λ v => serialize_expression state.options v),
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module? := module?
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module? := module?
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}
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}
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expr_echo (args: Commands.ExprEcho): MainM (CR Commands.ExprEchoResult) := do
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expr_echo (args: Protocol.ExprEcho): MainM (CR Protocol.ExprEchoResult) := do
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let state ← get
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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let env ← Lean.MonadEnv.getEnv
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match syntax_from_str env args.expr with
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match syntax_from_str env args.expr with
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@ -101,7 +101,7 @@ def execute (command: Commands.Command): MainM Lean.Json := do
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}
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}
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catch exception =>
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catch exception =>
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return .error $ errorI "typing" (← exception.toMessageData.toString)
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return .error $ errorI "typing" (← exception.toMessageData.toString)
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options_set (args: Commands.OptionsSet): MainM (CR Commands.OptionsSetResult) := do
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options_set (args: Protocol.OptionsSet): MainM (CR Protocol.OptionsSetResult) := do
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let state ← get
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let state ← get
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let options := state.options
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let options := state.options
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set { state with
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set { state with
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@ -116,9 +116,9 @@ def execute (command: Commands.Command): MainM Lean.Json := do
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}
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}
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}
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}
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return .ok { }
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return .ok { }
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options_print (_: Commands.OptionsPrint): MainM (CR Commands.OptionsPrintResult) := do
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options_print (_: Protocol.OptionsPrint): MainM (CR Protocol.OptionsPrintResult) := do
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return .ok (← get).options
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return .ok (← get).options
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goal_start (args: Commands.GoalStart): MainM (CR Commands.GoalStartResult) := do
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goal_start (args: Protocol.GoalStart): MainM (CR Protocol.GoalStartResult) := do
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let state ← get
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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let env ← Lean.MonadEnv.getEnv
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let expr?: Except _ Lean.Expr ← (match args.expr, args.copyFrom with
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let expr?: Except _ Lean.Expr ← (match args.expr, args.copyFrom with
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@ -140,34 +140,32 @@ def execute (command: Commands.Command): MainM Lean.Json := do
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| .error error => return .error error
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| .error error => return .error error
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| .ok expr =>
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| .ok expr =>
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let goalState ← GoalState.create expr
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let goalState ← GoalState.create expr
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let (goalStates, goalId) := state.goalStates.insert goalState
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let (goalStates, stateId) := state.goalStates.insert goalState
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set { state with goalStates }
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set { state with goalStates }
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return .ok { goalId }
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return .ok { stateId }
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goal_tactic (args: Commands.GoalTactic): MainM (CR Commands.GoalTacticResult) := do
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goal_tactic (args: Protocol.GoalTactic): MainM (CR Protocol.GoalTacticResult) := do
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let state ← get
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let state ← get
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match state.goalStates.get? args.goalId with
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match state.goalStates.get? args.stateId with
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| .none => return .error $ errorIndex s!"Invalid goal index {args.goalId}"
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| .none => return .error $ errorIndex s!"Invalid state index {args.stateId}"
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| .some goalState =>
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| .some goalState =>
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let result ← GoalState.execute goalState args.tactic |>.run state.options
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let result ← GoalState.execute goalState args.goalId args.tactic |>.run state.options
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match result with
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match result with
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| .success goals =>
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| .success nextGoalState goals =>
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if goals.isEmpty then
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let (goalStates, nextStateId) := state.goalStates.insert nextGoalState
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return .ok {}
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set { state with goalStates }
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else
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return .ok {
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-- Append all goals
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nextStateId? := .some nextStateId,
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let (goalStates, goalIds, sGoals) := Array.foldl (λ acc itr =>
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goals? := .some goals
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let (map, indices, serializedGoals) := acc
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}
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let (goalState, sGoal) := itr
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| .parseError message =>
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let (map, index) := map.insert goalState
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return .ok { parseError? := .some message }
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(map, index :: indices, sGoal :: serializedGoals)
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| .indexError goalId =>
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) (state.goalStates, [], []) goals
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return .error $ errorIndex s!"Invalid goal id index {goalId}"
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set { state with goalStates }
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return .ok { goals? := .some sGoals.reverse.toArray, goalIds? := .some goalIds.reverse.toArray }
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| .failure messages =>
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| .failure messages =>
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return .ok { tacticErrors? := .some messages }
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return .ok { tacticErrors? := .some messages }
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goal_delete (args: Commands.GoalDelete): MainM (CR Commands.GoalDeleteResult) := do
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goal_delete (args: Protocol.GoalDelete): MainM (CR Protocol.GoalDeleteResult) := do
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let state ← get
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let state ← get
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let goalStates := args.goalIds.foldl (λ map id => map.remove id) state.goalStates
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let goalStates := args.stateIds.foldl (λ map id => map.remove id) state.goalStates
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set { state with goalStates }
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set { state with goalStates }
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return .ok {}
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return .ok {}
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@ -1,19 +1,8 @@
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import Lean
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import Lean
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import Pantograph.Symbols
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import Pantograph.Symbol
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import Pantograph.Serial
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import Pantograph.Serial
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import Pantograph.Protocol
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/-
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The proof state manipulation system
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A proof state is launched by providing
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1. Environment: `Environment`
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2. Expression: `Expr`
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The expression becomes the first meta variable in the saved tactic state
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`Elab.Tactic.SavedState`.
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From this point on, any proof which extends
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`Elab.Term.Context` and
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-/
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def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
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def Lean.MessageLog.getErrorMessages (log : MessageLog) : MessageLog :=
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{
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{
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@ -25,25 +14,32 @@ namespace Pantograph
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open Lean
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open Lean
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structure GoalState where
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structure GoalState where
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mvarId: MVarId
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savedState : Elab.Tactic.SavedState
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savedState : Elab.Tactic.SavedState
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-- The root hole which is the search target
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root: MVarId
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-- New metavariables acquired in this state
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newMVars: SSet MVarId
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abbrev M := Elab.TermElabM
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abbrev M := Elab.TermElabM
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def GoalState.create (expr: Expr): M GoalState := do
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protected def GoalState.create (expr: Expr): M GoalState := do
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-- Immediately synthesise all metavariables if we need to leave the elaboration context.
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-- May be necessary to immediately synthesise all metavariables if we need to leave the elaboration context.
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-- See https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Unknown.20universe.20metavariable/near/360130070
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-- See https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/Unknown.20universe.20metavariable/near/360130070
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--Elab.Term.synthesizeSyntheticMVarsNoPostponing
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--Elab.Term.synthesizeSyntheticMVarsNoPostponing
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let expr ← instantiateMVars expr
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--let expr ← instantiateMVars expr
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let goal := (← Meta.mkFreshExprMVar expr (kind := MetavarKind.synthetic) (userName := .anonymous))
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let goal := (← Meta.mkFreshExprMVar expr (kind := MetavarKind.synthetic) (userName := .anonymous))
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let savedStateMonad: Elab.Tactic.TacticM Elab.Tactic.SavedState := MonadBacktrack.saveState
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let savedStateMonad: Elab.Tactic.TacticM Elab.Tactic.SavedState := MonadBacktrack.saveState
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let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals := [goal.mvarId!]}
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let savedState ← savedStateMonad { elaborator := .anonymous } |>.run' { goals := [goal.mvarId!]}
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return {
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return {
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savedState,
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savedState,
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mvarId := goal.mvarId!
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root := goal.mvarId!,
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newMVars := SSet.empty,
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}
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}
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protected def GoalState.goals (goalState: GoalState): List MVarId := goalState.savedState.tactic.goals
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def execute_tactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: String) :
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def executeTactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Syntax) :
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M (Except (Array String) (Elab.Tactic.SavedState × List MVarId)):= do
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M (Except (Array String) (Elab.Tactic.SavedState × List MVarId)):= do
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let tacticM (stx: Syntax): Elab.Tactic.TacticM (Except (Array String) (Elab.Tactic.SavedState × List MVarId)) := do
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let tacticM (stx: Syntax): Elab.Tactic.TacticM (Except (Array String) (Elab.Tactic.SavedState × List MVarId)) := do
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state.restore
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state.restore
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@ -56,52 +52,108 @@ def execute_tactic (state: Elab.Tactic.SavedState) (goal: MVarId) (tactic: Strin
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return .error errors
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return .error errors
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else
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else
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let unsolved ← Elab.Tactic.getUnsolvedGoals
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let unsolved ← Elab.Tactic.getUnsolvedGoals
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-- The order of evaluation is important here
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-- The order of evaluation is important here, since `getUnsolvedGoals` prunes the goals set
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return .ok (← MonadBacktrack.saveState, unsolved)
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return .ok (← MonadBacktrack.saveState, unsolved)
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catch exception =>
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catch exception =>
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return .error #[← exception.toMessageData.toString]
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return .error #[← exception.toMessageData.toString]
|
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match Parser.runParserCategory
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tacticM tactic { elaborator := .anonymous } |>.run' state.tactic
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(env := ← MonadEnv.getEnv)
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|
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(catName := `tactic)
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|
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(input := tactic)
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|
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(fileName := "<stdin>") with
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|
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| Except.error err => return .error #[err]
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|
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| Except.ok stx => tacticM stx { elaborator := .anonymous } |>.run' state.tactic
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|
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|
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/-- Response for executing a tactic -/
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/-- Response for executing a tactic -/
|
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inductive TacticResult where
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inductive TacticResult where
|
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-- Goes to next state
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-- Goes to next state
|
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| success (goals: Array (GoalState × Commands.Goal))
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| success (state: GoalState) (goals: Array Protocol.Goal)
|
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-- Fails with messages
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-- Tactic failed with messages
|
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| failure (messages: Array String)
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| failure (messages: Array String)
|
||||||
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-- Could not parse tactic
|
||||||
namespace TacticResult
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| parseError (message: String)
|
||||||
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-- The goal index is out of bounds
|
||||||
def is_success: TacticResult → Bool
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| indexError (goalId: Nat)
|
||||||
| .success _ => true
|
|
||||||
| .failure _ => false
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|
||||||
|
|
||||||
end TacticResult
|
|
||||||
|
|
||||||
/-- Execute tactic on given state -/
|
/-- Execute tactic on given state -/
|
||||||
def GoalState.execute (goal: GoalState) (tactic: String):
|
protected def GoalState.execute (state: GoalState) (goalId: Nat) (tactic: String):
|
||||||
Commands.OptionsT M TacticResult := do
|
Protocol.OptionsT M TacticResult := do
|
||||||
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let goal ← match state.savedState.tactic.goals.get? goalId with
|
||||||
|
| .some goal => pure $ goal
|
||||||
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| .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
|
||||||
let options ← read
|
let options ← read
|
||||||
match (← execute_tactic (state := goal.savedState) (goal := goal.mvarId) (tactic := tactic)) with
|
match (← executeTactic (state := state.savedState) (goal := goal) (tactic := tactic)) with
|
||||||
| .error errors =>
|
| .error errors =>
|
||||||
return .failure errors
|
return .failure errors
|
||||||
| .ok (nextState, nextGoals) =>
|
| .ok (nextSavedState, nextGoals) =>
|
||||||
if nextGoals.isEmpty then
|
assert! nextSavedState.tactic.goals.length == nextGoals.length
|
||||||
return .success #[]
|
-- 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 mvarId :: acc
|
||||||
|
) []).toSSet
|
||||||
|
let nextState: GoalState := {
|
||||||
|
savedState := nextSavedState
|
||||||
|
root := state.root,
|
||||||
|
newMVars,
|
||||||
|
}
|
||||||
|
nextSavedState.term.restore
|
||||||
|
let parentDecl? := (← MonadMCtx.getMCtx).findDecl? goal
|
||||||
|
let goals ← nextGoals.mapM fun nextGoal => do
|
||||||
|
match (← MonadMCtx.getMCtx).findDecl? nextGoal with
|
||||||
|
| .some mvarDecl =>
|
||||||
|
let serializedGoal ← serialize_goal options mvarDecl (parentDecl? := parentDecl?)
|
||||||
|
return serializedGoal
|
||||||
|
| .none => throwError s!"Parent mvar id does not exist {nextGoal.name}"
|
||||||
|
return .success nextState goals.toArray
|
||||||
|
|
||||||
|
-- Diagnostics functions
|
||||||
|
|
||||||
|
/-- Print the metavariables in a readable format -/
|
||||||
|
protected def GoalState.print (goalState: GoalState) (options: Protocol.GoalPrint := {}): Elab.TermElabM Unit := do
|
||||||
|
let savedState := goalState.savedState
|
||||||
|
savedState.term.restore
|
||||||
|
let goals := savedState.tactic.goals
|
||||||
|
let mctx ← getMCtx
|
||||||
|
goals.forM (fun mvarId => do
|
||||||
|
let pref := "⊢"
|
||||||
|
match mctx.decls.find? mvarId with
|
||||||
|
| .some decl => printMVar pref mvarId decl
|
||||||
|
| .none => IO.println s!"{pref}{mvarId.name}: ??"
|
||||||
|
)
|
||||||
|
let goals := goals.toSSet
|
||||||
|
mctx.decls.forM (fun mvarId decl => do
|
||||||
|
if goals.contains mvarId then
|
||||||
|
pure ()
|
||||||
|
else if mvarId == goalState.root then
|
||||||
|
printMVar (pref := ">") mvarId decl
|
||||||
|
else if ¬(goalState.newMVars.contains mvarId) then
|
||||||
|
printMVar (pref := " ") mvarId decl
|
||||||
|
else if options.printNonVisible then
|
||||||
|
printMVar (pref := "~") mvarId decl
|
||||||
else
|
else
|
||||||
let nextGoals: List GoalState := nextGoals.map fun mvarId => { mvarId, savedState := nextState }
|
IO.println s!" {mvarId.name}{userNameToString decl.userName}"
|
||||||
let parentDecl? := (← MonadMCtx.getMCtx).findDecl? goal.mvarId
|
)
|
||||||
let goals ← nextGoals.mapM fun nextGoal => do
|
where
|
||||||
match (← MonadMCtx.getMCtx).findDecl? nextGoal.mvarId with
|
printMVar (pref: String) (mvarId: MVarId) (decl: MetavarDecl): Elab.TermElabM Unit := do
|
||||||
| .some mvarDecl =>
|
if options.printContext then
|
||||||
let serializedGoal ← serialize_goal options mvarDecl (parentDecl? := parentDecl?)
|
decl.lctx.fvarIdToDecl.forM printFVar
|
||||||
return (nextGoal, serializedGoal)
|
IO.println s!"{pref}{mvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type} {← serialize_expression_ast decl.type}"
|
||||||
| .none => throwError nextGoal.mvarId
|
if options.printValue then
|
||||||
return .success goals.toArray
|
if let Option.some value := (← getMCtx).eAssignment.find? mvarId then
|
||||||
|
IO.println s!" = {← Meta.ppExpr value}"
|
||||||
|
printFVar (fvarId: FVarId) (decl: LocalDecl): Elab.TermElabM Unit := do
|
||||||
|
IO.println s!" | {fvarId.name}{userNameToString decl.userName}: {← Meta.ppExpr decl.type}"
|
||||||
|
userNameToString : Name → String
|
||||||
|
| .anonymous => ""
|
||||||
|
| other => s!"[{other}]"
|
||||||
|
|
||||||
end Pantograph
|
end Pantograph
|
||||||
|
|
|
@ -6,7 +6,7 @@ its field names to avoid confusion with error messages generated by the REPL.
|
||||||
-/
|
-/
|
||||||
import Lean.Data.Json
|
import Lean.Data.Json
|
||||||
|
|
||||||
namespace Pantograph.Commands
|
namespace Pantograph.Protocol
|
||||||
|
|
||||||
|
|
||||||
/-- Main Option structure, placed here to avoid name collision -/
|
/-- Main Option structure, placed here to avoid name collision -/
|
||||||
|
@ -132,32 +132,42 @@ abbrev OptionsPrintResult := Options
|
||||||
|
|
||||||
structure GoalStart where
|
structure GoalStart where
|
||||||
-- Only one of the fields below may be populated.
|
-- Only one of the fields below may be populated.
|
||||||
expr: Option String -- Proof expression
|
expr: Option String -- Directly parse in an expression
|
||||||
copyFrom: Option String -- Theorem name
|
copyFrom: Option String -- Copy the type from a theorem in the environment
|
||||||
deriving Lean.FromJson
|
deriving Lean.FromJson
|
||||||
structure GoalStartResult where
|
structure GoalStartResult where
|
||||||
goalId: Nat := 0 -- Proof tree id
|
stateId: Nat := 0
|
||||||
deriving Lean.ToJson
|
deriving Lean.ToJson
|
||||||
structure GoalTactic where
|
structure GoalTactic where
|
||||||
-- Identifiers for tree, state, and goal
|
-- Identifiers for tree, state, and goal
|
||||||
goalId: Nat
|
stateId: Nat
|
||||||
|
goalId: Nat := 0
|
||||||
tactic: String
|
tactic: String
|
||||||
deriving Lean.FromJson
|
deriving Lean.FromJson
|
||||||
structure GoalTacticResult where
|
structure GoalTacticResult where
|
||||||
-- Existence of this field shows success
|
-- 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
|
goals?: Option (Array Goal) := .none
|
||||||
-- Next proof state id, if successful
|
|
||||||
goalIds?: Option (Array Nat) := .none
|
-- Existence of this field shows tactic execution failure
|
||||||
-- Existence of this field shows failure
|
|
||||||
tacticErrors?: Option (Array String) := .none
|
tacticErrors?: Option (Array String) := .none
|
||||||
|
|
||||||
|
-- Existence of this field shows the tactic parsing has failed
|
||||||
|
parseError?: Option String := .none
|
||||||
deriving Lean.ToJson
|
deriving Lean.ToJson
|
||||||
|
|
||||||
-- Remove a bunch of goals.
|
-- Remove goal states
|
||||||
structure GoalDelete where
|
structure GoalDelete where
|
||||||
goalIds: List Nat
|
stateIds: List Nat
|
||||||
deriving Lean.FromJson
|
deriving Lean.FromJson
|
||||||
structure GoalDeleteResult where
|
structure GoalDeleteResult where
|
||||||
deriving Lean.ToJson
|
deriving Lean.ToJson
|
||||||
|
|
||||||
|
structure GoalPrint where
|
||||||
|
printContext: Bool := true
|
||||||
|
printValue: Bool := true
|
||||||
|
printNonVisible: Bool := true
|
||||||
|
|
||||||
end Pantograph.Commands
|
|
||||||
|
end Pantograph.Protocol
|
|
@ -3,7 +3,7 @@ All serialisation functions
|
||||||
-/
|
-/
|
||||||
import Lean
|
import Lean
|
||||||
|
|
||||||
import Pantograph.Commands
|
import Pantograph.Protocol
|
||||||
|
|
||||||
namespace Pantograph
|
namespace Pantograph
|
||||||
open Lean
|
open Lean
|
||||||
|
@ -39,7 +39,7 @@ def syntax_to_expr (syn: Syntax): Elab.TermElabM (Except String Expr) := do
|
||||||
|
|
||||||
--- Output Functions ---
|
--- Output Functions ---
|
||||||
|
|
||||||
def type_expr_to_bound (expr: Expr): MetaM Commands.BoundExpression := do
|
def type_expr_to_bound (expr: Expr): MetaM Protocol.BoundExpression := do
|
||||||
Meta.forallTelescope expr fun arr body => do
|
Meta.forallTelescope expr fun arr body => do
|
||||||
let binders ← arr.mapM fun fvar => do
|
let binders ← arr.mapM fun fvar => do
|
||||||
return (toString (← fvar.fvarId!.getUserName), toString (← Meta.ppExpr (← fvar.fvarId!.getType)))
|
return (toString (← fvar.fvarId!.getUserName), toString (← Meta.ppExpr (← fvar.fvarId!.getType)))
|
||||||
|
@ -108,7 +108,7 @@ def serialize_expression_ast (expr: Expr): MetaM String := do
|
||||||
-- Lean these are handled using a `#` prefix.
|
-- Lean these are handled using a `#` prefix.
|
||||||
return s!"{deBruijnIndex}"
|
return s!"{deBruijnIndex}"
|
||||||
| .fvar fvarId =>
|
| .fvar fvarId =>
|
||||||
let name := (← fvarId.getDecl).userName
|
let name := name_to_ast fvarId.name
|
||||||
return s!"(:fv {name})"
|
return s!"(:fv {name})"
|
||||||
| .mvar mvarId =>
|
| .mvar mvarId =>
|
||||||
let name := name_to_ast mvarId.name
|
let name := name_to_ast mvarId.name
|
||||||
|
@ -166,7 +166,7 @@ def serialize_expression_ast (expr: Expr): MetaM String := do
|
||||||
| .strictImplicit => " :strictImplicit"
|
| .strictImplicit => " :strictImplicit"
|
||||||
| .instImplicit => " :instImplicit"
|
| .instImplicit => " :instImplicit"
|
||||||
|
|
||||||
def serialize_expression (options: Commands.Options) (e: Expr): MetaM Commands.Expression := do
|
def serialize_expression (options: Protocol.Options) (e: Expr): MetaM Protocol.Expression := do
|
||||||
let pp := toString (← Meta.ppExpr e)
|
let pp := toString (← Meta.ppExpr e)
|
||||||
let pp?: Option String := match options.printExprPretty with
|
let pp?: Option String := match options.printExprPretty with
|
||||||
| true => .some pp
|
| true => .some pp
|
||||||
|
@ -181,8 +181,8 @@ def serialize_expression (options: Commands.Options) (e: Expr): MetaM Commands.E
|
||||||
}
|
}
|
||||||
|
|
||||||
/-- Adapted from ppGoal -/
|
/-- Adapted from ppGoal -/
|
||||||
def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl)
|
def serialize_goal (options: Protocol.Options) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl)
|
||||||
: MetaM Commands.Goal := do
|
: MetaM Protocol.Goal := do
|
||||||
-- Options for printing; See Meta.ppGoal for details
|
-- Options for printing; See Meta.ppGoal for details
|
||||||
let showLetValues := true
|
let showLetValues := true
|
||||||
let ppAuxDecls := options.printAuxDecls
|
let ppAuxDecls := options.printAuxDecls
|
||||||
|
@ -190,7 +190,7 @@ def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) (parentDe
|
||||||
let lctx := mvarDecl.lctx
|
let lctx := mvarDecl.lctx
|
||||||
let lctx := lctx.sanitizeNames.run' { options := (← getOptions) }
|
let lctx := lctx.sanitizeNames.run' { options := (← getOptions) }
|
||||||
Meta.withLCtx lctx mvarDecl.localInstances do
|
Meta.withLCtx lctx mvarDecl.localInstances do
|
||||||
let ppVarNameOnly (localDecl: LocalDecl): MetaM Commands.Variable := do
|
let ppVarNameOnly (localDecl: LocalDecl): MetaM Protocol.Variable := do
|
||||||
match localDecl with
|
match localDecl with
|
||||||
| .cdecl _ _ varName _ _ _ =>
|
| .cdecl _ _ varName _ _ _ =>
|
||||||
let varName := varName.simpMacroScopes
|
let varName := varName.simpMacroScopes
|
||||||
|
@ -201,7 +201,7 @@ def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) (parentDe
|
||||||
return {
|
return {
|
||||||
name := toString varName,
|
name := toString varName,
|
||||||
}
|
}
|
||||||
let ppVar (localDecl : LocalDecl) : MetaM Commands.Variable := do
|
let ppVar (localDecl : LocalDecl) : MetaM Protocol.Variable := do
|
||||||
match localDecl with
|
match localDecl with
|
||||||
| .cdecl _ _ varName type _ _ =>
|
| .cdecl _ _ varName type _ _ =>
|
||||||
let varName := varName.simpMacroScopes
|
let varName := varName.simpMacroScopes
|
||||||
|
|
|
@ -1,10 +1,8 @@
|
||||||
/-
|
|
||||||
- Manages the visibility status of symbols
|
|
||||||
-/
|
|
||||||
import Lean.Declaration
|
import Lean.Declaration
|
||||||
|
|
||||||
namespace Pantograph
|
namespace Pantograph
|
||||||
|
|
||||||
|
/-- Converts a symbol of the form `aa.bb.cc` to a name -/
|
||||||
def str_to_name (s: String): Lean.Name :=
|
def str_to_name (s: String): Lean.Name :=
|
||||||
(s.splitOn ".").foldl Lean.Name.str Lean.Name.anonymous
|
(s.splitOn ".").foldl Lean.Name.str Lean.Name.anonymous
|
||||||
|
|
|
@ -1,5 +1,5 @@
|
||||||
namespace Pantograph
|
namespace Pantograph
|
||||||
|
|
||||||
def version := "0.2.5"
|
def version := "0.2.6"
|
||||||
|
|
||||||
end Pantograph
|
end Pantograph
|
||||||
|
|
|
@ -47,26 +47,26 @@ def test_option_modify : IO LSpec.TestSeq :=
|
||||||
let pp? := Option.some "∀ (n : Nat), n + 1 = Nat.succ n"
|
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 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 module? := Option.some "Init.Data.Nat.Basic"
|
||||||
let options: Commands.Options := {}
|
let options: Protocol.Options := {}
|
||||||
subroutine_runner [
|
subroutine_runner [
|
||||||
subroutine_step "lib.inspect"
|
subroutine_step "lib.inspect"
|
||||||
[("name", .str "Nat.add_one")]
|
[("name", .str "Nat.add_one")]
|
||||||
(Lean.toJson ({
|
(Lean.toJson ({
|
||||||
type := { pp? }, module? }:
|
type := { pp? }, module? }:
|
||||||
Commands.LibInspectResult)),
|
Protocol.LibInspectResult)),
|
||||||
subroutine_step "options.set"
|
subroutine_step "options.set"
|
||||||
[("printExprAST", .bool true)]
|
[("printExprAST", .bool true)]
|
||||||
(Lean.toJson ({ }:
|
(Lean.toJson ({ }:
|
||||||
Commands.OptionsSetResult)),
|
Protocol.OptionsSetResult)),
|
||||||
subroutine_step "lib.inspect"
|
subroutine_step "lib.inspect"
|
||||||
[("name", .str "Nat.add_one")]
|
[("name", .str "Nat.add_one")]
|
||||||
(Lean.toJson ({
|
(Lean.toJson ({
|
||||||
type := { pp?, sexp? }, module? }:
|
type := { pp?, sexp? }, module? }:
|
||||||
Commands.LibInspectResult)),
|
Protocol.LibInspectResult)),
|
||||||
subroutine_step "options.print"
|
subroutine_step "options.print"
|
||||||
[]
|
[]
|
||||||
(Lean.toJson ({ options with printExprAST := true }:
|
(Lean.toJson ({ options with printExprAST := true }:
|
||||||
Commands.OptionsPrintResult))
|
Protocol.OptionsPrintResult))
|
||||||
]
|
]
|
||||||
def test_malformed_command : IO LSpec.TestSeq :=
|
def test_malformed_command : IO LSpec.TestSeq :=
|
||||||
let invalid := "invalid"
|
let invalid := "invalid"
|
||||||
|
@ -75,12 +75,12 @@ def test_malformed_command : IO LSpec.TestSeq :=
|
||||||
[("name", .str "Nat.add_one")]
|
[("name", .str "Nat.add_one")]
|
||||||
(Lean.toJson ({
|
(Lean.toJson ({
|
||||||
error := "command", desc := s!"Unknown command {invalid}"}:
|
error := "command", desc := s!"Unknown command {invalid}"}:
|
||||||
Commands.InteractionError)),
|
Protocol.InteractionError)),
|
||||||
subroutine_named_step "JSON Deserialization" "expr.echo"
|
subroutine_named_step "JSON Deserialization" "expr.echo"
|
||||||
[(invalid, .str "Random garbage data")]
|
[(invalid, .str "Random garbage data")]
|
||||||
(Lean.toJson ({
|
(Lean.toJson ({
|
||||||
error := "command", desc := s!"Unable to parse json: Pantograph.Commands.ExprEcho.expr: String expected"}:
|
error := "command", desc := s!"Unable to parse json: Pantograph.Protocol.ExprEcho.expr: String expected"}:
|
||||||
Commands.InteractionError))
|
Protocol.InteractionError))
|
||||||
]
|
]
|
||||||
|
|
||||||
def suite: IO LSpec.TestSeq := do
|
def suite: IO LSpec.TestSeq := do
|
||||||
|
|
|
@ -1,5 +1,5 @@
|
||||||
import LSpec
|
import LSpec
|
||||||
import Test.Holes
|
--import Test.Holes
|
||||||
import Test.Integration
|
import Test.Integration
|
||||||
import Test.Proofs
|
import Test.Proofs
|
||||||
import Test.Serial
|
import Test.Serial
|
||||||
|
@ -11,7 +11,7 @@ unsafe def main := do
|
||||||
Lean.initSearchPath (← Lean.findSysroot)
|
Lean.initSearchPath (← Lean.findSysroot)
|
||||||
|
|
||||||
let suites := [
|
let suites := [
|
||||||
Holes.suite,
|
--Holes.suite,
|
||||||
Integration.suite,
|
Integration.suite,
|
||||||
Proofs.suite,
|
Proofs.suite,
|
||||||
Serial.suite
|
Serial.suite
|
||||||
|
|
347
Test/Proofs.lean
347
Test/Proofs.lean
|
@ -1,7 +1,21 @@
|
||||||
|
/-
|
||||||
|
Tests pertaining to goals with no interdependencies
|
||||||
|
-/
|
||||||
import LSpec
|
import LSpec
|
||||||
import Pantograph.Goal
|
import Pantograph.Goal
|
||||||
import Pantograph.Serial
|
import Pantograph.Serial
|
||||||
|
|
||||||
|
namespace Pantograph
|
||||||
|
|
||||||
|
def TacticResult.toString : TacticResult → String
|
||||||
|
| .success _ goals => s!".success ({goals.size} goals)"
|
||||||
|
| .failure messages =>
|
||||||
|
let messages := "\n".intercalate messages.toList
|
||||||
|
s!".failure {messages}"
|
||||||
|
| .parseError error => s!".parseError {error}"
|
||||||
|
| .indexError index => s!".indexError {index}"
|
||||||
|
end Pantograph
|
||||||
|
|
||||||
namespace Pantograph.Test.Proofs
|
namespace Pantograph.Test.Proofs
|
||||||
open Pantograph
|
open Pantograph
|
||||||
open Lean
|
open Lean
|
||||||
|
@ -10,21 +24,21 @@ inductive Start where
|
||||||
| copy (name: String) -- Start from some name in the environment
|
| copy (name: String) -- Start from some name in the environment
|
||||||
| expr (expr: String) -- Start from some expression
|
| expr (expr: String) -- Start from some expression
|
||||||
|
|
||||||
abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Commands.Options M)
|
abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M)
|
||||||
|
|
||||||
deriving instance DecidableEq, Repr for Commands.Expression
|
deriving instance DecidableEq, Repr for Protocol.Expression
|
||||||
deriving instance DecidableEq, Repr for Commands.Variable
|
deriving instance DecidableEq, Repr for Protocol.Variable
|
||||||
deriving instance DecidableEq, Repr for Commands.Goal
|
deriving instance DecidableEq, Repr for Protocol.Goal
|
||||||
|
|
||||||
def add_test (test: LSpec.TestSeq): TestM Unit := do
|
def addTest (test: LSpec.TestSeq): TestM Unit := do
|
||||||
set $ (← get) ++ test
|
set $ (← get) ++ test
|
||||||
|
|
||||||
def start_proof (start: Start): TestM (Option GoalState) := do
|
def startProof (start: Start): TestM (Option GoalState) := do
|
||||||
let env ← Lean.MonadEnv.getEnv
|
let env ← Lean.MonadEnv.getEnv
|
||||||
match start with
|
match start with
|
||||||
| .copy name =>
|
| .copy name =>
|
||||||
let cInfo? := str_to_name name |> env.find?
|
let cInfo? := str_to_name name |> env.find?
|
||||||
add_test $ LSpec.check s!"Symbol exists {name}" cInfo?.isSome
|
addTest $ LSpec.check s!"Symbol exists {name}" cInfo?.isSome
|
||||||
match cInfo? with
|
match cInfo? with
|
||||||
| .some cInfo =>
|
| .some cInfo =>
|
||||||
let goal ← GoalState.create (expr := cInfo.type)
|
let goal ← GoalState.create (expr := cInfo.type)
|
||||||
|
@ -33,14 +47,14 @@ def start_proof (start: Start): TestM (Option GoalState) := do
|
||||||
return Option.none
|
return Option.none
|
||||||
| .expr expr =>
|
| .expr expr =>
|
||||||
let syn? := syntax_from_str env expr
|
let syn? := syntax_from_str env expr
|
||||||
add_test $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
|
addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk)
|
||||||
match syn? with
|
match syn? with
|
||||||
| .error error =>
|
| .error error =>
|
||||||
IO.println error
|
IO.println error
|
||||||
return Option.none
|
return Option.none
|
||||||
| .ok syn =>
|
| .ok syn =>
|
||||||
let expr? ← syntax_to_expr_type syn
|
let expr? ← syntax_to_expr_type syn
|
||||||
add_test $ LSpec.check s!"Elaborating" expr?.isOk
|
addTest $ LSpec.check s!"Elaborating" expr?.isOk
|
||||||
match expr? with
|
match expr? with
|
||||||
| .error error =>
|
| .error error =>
|
||||||
IO.println error
|
IO.println error
|
||||||
|
@ -49,9 +63,9 @@ def start_proof (start: Start): TestM (Option GoalState) := do
|
||||||
let goal ← GoalState.create (expr := expr)
|
let goal ← GoalState.create (expr := expr)
|
||||||
return Option.some goal
|
return Option.some goal
|
||||||
|
|
||||||
def assert_unreachable (message: String): LSpec.TestSeq := LSpec.check message false
|
def assertUnreachable (message: String): LSpec.TestSeq := LSpec.check message false
|
||||||
|
|
||||||
def build_goal (nameType: List (String × String)) (target: String): Commands.Goal :=
|
def buildGoal (nameType: List (String × String)) (target: String): Protocol.Goal :=
|
||||||
{
|
{
|
||||||
target := { pp? := .some target},
|
target := { pp? := .some target},
|
||||||
vars := (nameType.map fun x => ({
|
vars := (nameType.map fun x => ({
|
||||||
|
@ -60,8 +74,8 @@ def build_goal (nameType: List (String × String)) (target: String): Commands.Go
|
||||||
isInaccessible? := .some false
|
isInaccessible? := .some false
|
||||||
})).toArray
|
})).toArray
|
||||||
}
|
}
|
||||||
-- Like `build_goal` but allow certain variables to be elided.
|
-- Like `buildGoal` but allow certain variables to be elided.
|
||||||
def build_goal_selective (nameType: List (String × Option String)) (target: String): Commands.Goal :=
|
def buildGoalSelective (nameType: List (String × Option String)) (target: String): Protocol.Goal :=
|
||||||
{
|
{
|
||||||
target := { pp? := .some target},
|
target := { pp? := .some target},
|
||||||
vars := (nameType.map fun x => ({
|
vars := (nameType.map fun x => ({
|
||||||
|
@ -70,146 +84,7 @@ def build_goal_selective (nameType: List (String × Option String)) (target: Str
|
||||||
isInaccessible? := x.snd.map (λ _ => false)
|
isInaccessible? := x.snd.map (λ _ => false)
|
||||||
})).toArray
|
})).toArray
|
||||||
}
|
}
|
||||||
|
def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
|
||||||
|
|
||||||
-- Individual test cases
|
|
||||||
example: ∀ (a b: Nat), a + b = b + a := by
|
|
||||||
intro n m
|
|
||||||
rw [Nat.add_comm]
|
|
||||||
def proof_nat_add_comm: TestM Unit := do
|
|
||||||
let goal? ← start_proof (.copy "Nat.add_comm")
|
|
||||||
add_test $ LSpec.check "Start goal" goal?.isSome
|
|
||||||
if let .some goal := goal? then
|
|
||||||
if let .success #[(goal, sGoal)] ← goal.execute "intro n m" then
|
|
||||||
let sGoal1e: Commands.Goal := build_goal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"
|
|
||||||
add_test $ LSpec.check "intro n m" (sGoal = sGoal1e)
|
|
||||||
|
|
||||||
if let .failure #[message] ← goal.execute "assumption" then
|
|
||||||
add_test $ LSpec.check "assumption" (message = "tactic 'assumption' failed\nn m : Nat\n⊢ n + m = m + n")
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "assumption"
|
|
||||||
|
|
||||||
if let .success #[] ← goal.execute "rw [Nat.add_comm]" then
|
|
||||||
return ()
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "rw [Nat.add_comm]"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intro n m"
|
|
||||||
def proof_nat_add_comm_manual: TestM Unit := do
|
|
||||||
let goal? ← start_proof (.expr "∀ (a b: Nat), a + b = b + a")
|
|
||||||
add_test $ LSpec.check "Start goal" goal?.isSome
|
|
||||||
if let .some goal := goal? then
|
|
||||||
if let .success #[(goal, sGoal)] ← goal.execute "intro n m" then
|
|
||||||
let sGoal1e: Commands.Goal := build_goal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"
|
|
||||||
add_test $ LSpec.check "intro n m" (sGoal = sGoal1e)
|
|
||||||
|
|
||||||
if let .failure #[message] ← goal.execute "assumption" then
|
|
||||||
add_test $ LSpec.check "assumption" (message = "tactic 'assumption' failed\nn m : Nat\n⊢ n + m = m + n")
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "assumption"
|
|
||||||
|
|
||||||
if let .success #[] ← goal.execute "rw [Nat.add_comm]" then
|
|
||||||
return ()
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "rw [Nat.add_comm]"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intro n m"
|
|
||||||
|
|
||||||
|
|
||||||
-- 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 typeProp: Commands.Expression := { pp? := .some "Prop" }
|
|
||||||
let branchGoal (caseName name: String): Commands.Goal := {
|
|
||||||
caseName? := .some caseName,
|
|
||||||
target := { pp? := .some "q ∨ p" },
|
|
||||||
vars := #[
|
|
||||||
{ name := "p", type? := .some typeProp, isInaccessible? := .some false },
|
|
||||||
{ name := "q", type? := .some typeProp, isInaccessible? := .some false },
|
|
||||||
{ name := "h✝", type? := .some { pp? := .some name }, isInaccessible? := .some true }
|
|
||||||
]
|
|
||||||
}
|
|
||||||
let goal? ← start_proof (.expr "∀ (p q: Prop), p ∨ q → q ∨ p")
|
|
||||||
add_test $ LSpec.check "Start goal" goal?.isSome
|
|
||||||
if let .some goal := goal? then
|
|
||||||
if let .success #[(goal, sGoal)] ← goal.execute "intro p q h" then
|
|
||||||
let sGoal1e := build_goal [("p", "Prop"), ("q", "Prop"), ("h", "p ∨ q")] "q ∨ p"
|
|
||||||
add_test $ LSpec.check "intro p q h" (sGoal = sGoal1e)
|
|
||||||
|
|
||||||
if let .success #[(goal1, sGoal1), (goal2, sGoal2)] ← goal.execute "cases h" then
|
|
||||||
add_test $ LSpec.check "cases h/1" (sGoal1 = branchGoal "inl" "p")
|
|
||||||
if let .success #[(goal, _)] ← goal1.execute "apply Or.inr" then
|
|
||||||
if let .success #[] ← goal.execute "assumption" then
|
|
||||||
return ()
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "assumption"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "apply Or.inr"
|
|
||||||
|
|
||||||
|
|
||||||
add_test $ LSpec.check "cases h/2" (sGoal2 = branchGoal "inr" "q")
|
|
||||||
if let .success #[(goal, _)] ← goal2.execute "apply Or.inl" then
|
|
||||||
if let .success #[] ← goal.execute "assumption" then
|
|
||||||
return ()
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "assumption"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "apply Or.inl"
|
|
||||||
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "cases h"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intro p q h"
|
|
||||||
|
|
||||||
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_1: TestM Unit := do
|
|
||||||
let goal? ← start_proof (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)")
|
|
||||||
add_test $ LSpec.check "Start goal" goal?.isSome
|
|
||||||
if let .some goal := goal? then
|
|
||||||
if let .success #[(goal, _)] ← goal.execute "intros" then
|
|
||||||
if let .success #[(goal, _)] ← goal.execute "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *" then
|
|
||||||
if let .success #[] ← goal.execute "assumption" then
|
|
||||||
return ()
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "assumption"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "simp ..."
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intros"
|
|
||||||
|
|
||||||
def proof_delta_variable: TestM Unit := withReader (fun _ => {proofVariableDelta := true}) do
|
|
||||||
let goal? ← start_proof (.expr "∀ (a b: Nat), a + b = b + a")
|
|
||||||
add_test $ LSpec.check "Start goal" goal?.isSome
|
|
||||||
if let .some goal := goal? then
|
|
||||||
if let .success #[(goal, sGoal)] ← goal.execute "intro n" then
|
|
||||||
let sGoal1e: Commands.Goal := build_goal_selective [("n", .some "Nat")] "∀ (b : Nat), n + b = b + n"
|
|
||||||
add_test $ LSpec.check "intro n" (sGoal = sGoal1e)
|
|
||||||
|
|
||||||
if let .success #[(_, sGoal)] ← goal.execute "intro m" then
|
|
||||||
let sGoal2e: Commands.Goal := build_goal_selective [("n", .none), ("m", .some "Nat")] "n + m = m + n"
|
|
||||||
add_test $ LSpec.check "intro m" (sGoal = sGoal2e)
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intro m"
|
|
||||||
else
|
|
||||||
add_test $ assert_unreachable "intro n"
|
|
||||||
|
|
||||||
def proof_runner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do
|
|
||||||
let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
|
let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options
|
||||||
|
|
||||||
let coreContext: Lean.Core.Context := {
|
let coreContext: Lean.Core.Context := {
|
||||||
|
@ -229,6 +104,160 @@ def proof_runner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq :
|
||||||
| .ok (_, a) =>
|
| .ok (_, a) =>
|
||||||
return 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, goal1) ← match ← state0.execute (goalId := 0) (tactic := "intro n m") with
|
||||||
|
| .success state #[goal] => pure (state, goal)
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
addTest $ LSpec.check "intro n m" (goal1 = 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 ()
|
||||||
|
|
||||||
|
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, goal1) ← match ← state0.execute (goalId := 0) (tactic := "intro p q h") with
|
||||||
|
| .success state #[goal] => pure (state, goal)
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
addTest $ LSpec.check "p q h" (goal1 = buildGoal [("p", "Prop"), ("q", "Prop"), ("h", "p ∨ q")] "q ∨ p")
|
||||||
|
let (state2, goal1, goal2) ← match ← state1.execute (goalId := 0) (tactic := "cases h") with
|
||||||
|
| .success state #[goal1, goal2] => pure (state, goal1, goal2)
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
addTest $ LSpec.check "cases h/1" (goal1 = branchGoal "inl" "p")
|
||||||
|
addTest $ LSpec.check "cases h/2" (goal2 = branchGoal "inr" "q")
|
||||||
|
|
||||||
|
let (state3_1, _goal) ← match ← state2.execute (goalId := 0) (tactic := "apply Or.inr") with
|
||||||
|
| .success state #[goal] => pure (state, goal)
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
let state4_1 ← match ← state3_1.execute (goalId := 0) (tactic := "assumption") with
|
||||||
|
| .success state #[] => pure state
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
IO.println "===== 1 ====="
|
||||||
|
state1.print
|
||||||
|
IO.println "===== 2 ====="
|
||||||
|
state2.print
|
||||||
|
IO.println "===== 4_1 ====="
|
||||||
|
state4_1.print
|
||||||
|
let (state3_2, _goal) ← match ← state2.execute (goalId := 1) (tactic := "apply Or.inl") with
|
||||||
|
| .success state #[goal] => pure (state, goal)
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
IO.println "===== 3_2 ====="
|
||||||
|
state3_2.print
|
||||||
|
let state4_2 ← match ← state3_2.execute (goalId := 0) (tactic := "assumption") with
|
||||||
|
| .success state #[] => pure state
|
||||||
|
| other => do
|
||||||
|
addTest $ assertUnreachable $ other.toString
|
||||||
|
return ()
|
||||||
|
IO.println "===== 4_2 ====="
|
||||||
|
state4_2.print
|
||||||
|
|
||||||
|
return ()
|
||||||
|
where
|
||||||
|
typeProp: Protocol.Expression := { pp? := .some "Prop" }
|
||||||
|
branchGoal (caseName name: String): Protocol.Goal := {
|
||||||
|
caseName? := .some caseName,
|
||||||
|
target := { pp? := .some "q ∨ p" },
|
||||||
|
vars := #[
|
||||||
|
{ name := "p", type? := .some typeProp, isInaccessible? := .some false },
|
||||||
|
{ name := "q", type? := .some typeProp, isInaccessible? := .some false },
|
||||||
|
{ name := "h✝", type? := .some { pp? := .some name }, isInaccessible? := .some true }
|
||||||
|
]
|
||||||
|
}
|
||||||
|
|
||||||
|
--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_1: TestM Unit := do
|
||||||
|
-- let goal? ← startProof (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)")
|
||||||
|
-- addTest $ LSpec.check "Start goal" goal?.isSome
|
||||||
|
-- if let .some goal := goal? then
|
||||||
|
-- if let .success #[(goal, _)] ← goal.execute "intros" then
|
||||||
|
-- if let .success #[(goal, _)] ← goal.execute "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *" then
|
||||||
|
-- if let .success #[] ← goal.execute "assumption" then
|
||||||
|
-- return ()
|
||||||
|
-- else
|
||||||
|
-- addTest $ assertUnreachable "assumption"
|
||||||
|
-- else
|
||||||
|
-- addTest $ assertUnreachable "simp ..."
|
||||||
|
-- else
|
||||||
|
-- addTest $ assertUnreachable "intros"
|
||||||
|
--
|
||||||
|
--def proof_delta_variable: TestM Unit := withReader (fun _ => {proofVariableDelta := true}) do
|
||||||
|
-- let goal? ← startProof (.expr "∀ (a b: Nat), a + b = b + a")
|
||||||
|
-- addTest $ LSpec.check "Start goal" goal?.isSome
|
||||||
|
-- if let .some goal := goal? then
|
||||||
|
-- if let .success #[(goal, sGoal)] ← goal.execute "intro n" then
|
||||||
|
-- let sGoal1e: Protocol.Goal :=buildGoalSelective [("n", .some "Nat")] "∀ (b : Nat), n + b = b + n"
|
||||||
|
-- addTest $ LSpec.check "intro n" (sGoal = sGoal1e)
|
||||||
|
--
|
||||||
|
-- if let .success #[(_, sGoal)] ← goal.execute "intro m" then
|
||||||
|
-- let sGoal2e: Protocol.Goal :=buildGoalSelective [("n", .none), ("m", .some "Nat")] "n + m = m + n"
|
||||||
|
-- addTest $ LSpec.check "intro m" (sGoal = sGoal2e)
|
||||||
|
-- else
|
||||||
|
-- addTest $ assertUnreachable "intro m"
|
||||||
|
-- else
|
||||||
|
-- addTest $ assertUnreachable "intro n"
|
||||||
|
|
||||||
/-- Tests the most basic form of proofs whose goals do not relate to each other -/
|
/-- Tests the most basic form of proofs whose goals do not relate to each other -/
|
||||||
def suite: IO LSpec.TestSeq := do
|
def suite: IO LSpec.TestSeq := do
|
||||||
let env: Lean.Environment ← Lean.importModules
|
let env: Lean.Environment ← Lean.importModules
|
||||||
|
@ -236,15 +265,15 @@ def suite: IO LSpec.TestSeq := do
|
||||||
(opts := {})
|
(opts := {})
|
||||||
(trustLevel := 1)
|
(trustLevel := 1)
|
||||||
let tests := [
|
let tests := [
|
||||||
("Nat.add_comm", proof_nat_add_comm),
|
("Nat.add_comm", proof_nat_add_comm false),
|
||||||
("nat.add_comm manual", proof_nat_add_comm_manual),
|
("Nat.add_comm manual", proof_nat_add_comm true),
|
||||||
("Or.comm", proof_or_comm),
|
("Or.comm", proof_or_comm)
|
||||||
("arithmetic 1", proof_arith_1),
|
--("arithmetic 1", proof_arith_1),
|
||||||
("delta variable", proof_delta_variable)
|
--("delta variable", proof_delta_variable)
|
||||||
]
|
]
|
||||||
let tests ← tests.foldlM (fun acc tests => do
|
let tests ← tests.foldlM (fun acc tests => do
|
||||||
let (name, tests) := tests
|
let (name, tests) := tests
|
||||||
let tests ← proof_runner env tests
|
let tests ← proofRunner env tests
|
||||||
return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
|
return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done
|
||||||
|
|
||||||
return LSpec.group "Proofs" tests
|
return LSpec.group "Proofs" tests
|
||||||
|
|
|
@ -1,19 +1,19 @@
|
||||||
import LSpec
|
import LSpec
|
||||||
import Pantograph.Serial
|
import Pantograph.Serial
|
||||||
import Pantograph.Symbols
|
import Pantograph.Symbol
|
||||||
|
|
||||||
namespace Pantograph.Test.Serial
|
namespace Pantograph.Test.Serial
|
||||||
|
|
||||||
open Pantograph
|
open Pantograph
|
||||||
open Lean
|
open Lean
|
||||||
|
|
||||||
deriving instance Repr, DecidableEq for Commands.BoundExpression
|
deriving instance Repr, DecidableEq for Protocol.BoundExpression
|
||||||
|
|
||||||
def test_str_to_name: LSpec.TestSeq :=
|
def test_str_to_name: LSpec.TestSeq :=
|
||||||
LSpec.test "Symbol parsing" (Name.str (.str (.str .anonymous "Lean") "Meta") "run" = Pantograph.str_to_name "Lean.Meta.run")
|
LSpec.test "Symbol parsing" (Name.str (.str (.str .anonymous "Lean") "Meta") "run" = Pantograph.str_to_name "Lean.Meta.run")
|
||||||
|
|
||||||
def test_expr_to_binder (env: Environment): IO LSpec.TestSeq := do
|
def test_expr_to_binder (env: Environment): IO LSpec.TestSeq := do
|
||||||
let entries: List (String × Commands.BoundExpression) := [
|
let entries: List (String × Protocol.BoundExpression) := [
|
||||||
("Nat.add_comm", { binders := #[("n", "Nat"), ("m", "Nat")], target := "n + m = m + n" }),
|
("Nat.add_comm", { binders := #[("n", "Nat"), ("m", "Nat")], target := "n + m = m + n" }),
|
||||||
("Nat.le_of_succ_le", { binders := #[("n", "Nat"), ("m", "Nat"), ("h", "Nat.succ n ≤ m")], target := "n ≤ m" })
|
("Nat.le_of_succ_le", { binders := #[("n", "Nat"), ("m", "Nat"), ("h", "Nat.succ n ≤ m")], target := "n ≤ m" })
|
||||||
]
|
]
|
||||||
|
|
Loading…
Reference in New Issue