package coq-waterproof
Coq proofs in a style that resembles non-mechanized mathematical proofs
Install
Dune Dependency
Authors
Maintainers
Sources
2.1.1+8.18.tar.gz
md5=a7d2922fb4ed7f0b8fe38074319890fe
sha512=3c511d066ba324cf19fc5620ae89ad09796f3a04576012739783100487dd8d50214edab9bdfc85d581d6538e601511f4563b90ad1dc3041e60a9702f4875e31d
doc/src/coq-waterproof.plugin/g_waterproof.ml.html
Source file g_waterproof.ml
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let _ = Mltop.add_known_module "coq-waterproof.plugin" # 21 "src/g_waterproof.mlg" module Tac2ffi = Ltac2_plugin.Tac2ffi module Tac2env = Ltac2_plugin.Tac2env module Tac2expr = Ltac2_plugin.Tac2expr open Proofview open Proofview.Notations open Tac2expr open Tac2ffi open Exceptions open Hint_dataset_declarations open Waterprove let waterproof_version : string = "2.1.1+8.18" let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationShieldEnableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Enable", Vernacextend.TyTerminal ("Automation", Vernacextend.TyTerminal ("Shield", Vernacextend.TyNil)))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 41 "src/g_waterproof.mlg" automation_shield := true ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationShieldDisableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Disable", Vernacextend.TyTerminal ("Automation", Vernacextend.TyTerminal ("Shield", Vernacextend.TyNil)))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 48 "src/g_waterproof.mlg" automation_shield := false ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationDebugEnableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Enable", Vernacextend.TyTerminal ("Debug", Vernacextend.TyTerminal ("Automation", Vernacextend.TyNil)))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 55 "src/g_waterproof.mlg" automation_debug := true ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationDebugDisableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Disable", Vernacextend.TyTerminal ("Debug", Vernacextend.TyTerminal ("Automation", Vernacextend.TyNil)))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 62 "src/g_waterproof.mlg" automation_debug := false ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationPrintRewriteHintsEnableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Enable", Vernacextend.TyTerminal ("Printing", Vernacextend.TyTerminal ("Rewrite", Vernacextend.TyTerminal ("Hints", Vernacextend.TyNil))))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 69 "src/g_waterproof.mlg" print_rewrite_hints := true ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"AutomationPrintRewriteHintsDisableSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Disable", Vernacextend.TyTerminal ("Printing", Vernacextend.TyTerminal ("Rewrite", Vernacextend.TyTerminal ("Hints", Vernacextend.TyNil))))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 76 "src/g_waterproof.mlg" print_rewrite_hints := false ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] let () = Vernacextend.static_vernac_extend ~plugin:(Some "coq-waterproof.plugin") ~command:"PrintVersionSideEff" ~classifier:(fun _ -> Vernacextend.classify_as_sideeff) ?entry:None [(Vernacextend.TyML (false, Vernacextend.TyTerminal ("Waterproof", Vernacextend.TyTerminal ("Print", Vernacextend.TyTerminal ("Version", Vernacextend.TyNil))), (let coqpp_body () = Vernacextend.vtdefault (fun () -> # 83 "src/g_waterproof.mlg" Feedback.msg_notice (Pp.str waterproof_version) ) in fun ?loc ~atts () -> coqpp_body (Attributes.unsupported_attributes atts)), None))] # 88 "src/g_waterproof.mlg" (** Creates a name used to define the function interface *) let pname (s: string): ml_tactic_name = { mltac_plugin = "coq-core.plugins.coq-waterproof"; mltac_tactic = s } (** Wrapper around {! Tac2env.define_primitive} to make easier the primitive definition *) let define_primitive (name: string) (arity: 'a arity) (f: 'a): unit = Tac2env.define_primitive (pname name) (mk_closure_val arity f) (** Defines a function of arity 0 (that only take a [unit] as an argument) This function will be callable in Ltac2 with [Ltac2 @ external <ltac2_name>: unit := "coq-waterproof" "<name>".] *) let define0 (name: string) (f: valexpr tactic): unit = define_primitive name arity_one (fun _ -> f) (** Defines a function of arity 1 (that only take one argument) This function will be callable in Ltac2 with [Ltac2 @ external <ltac2_name>: <type> -> unit := "coq-waterproof" "<name>".] *) let define1 (name: string) (r0: 'a repr) (f: 'a -> valexpr tactic): unit = define_primitive name arity_one @@ fun x -> f (repr_to r0 x) (** Defines a function of arity 2 of the same way than {! define1} *) let define2 (name: string) (r0: 'a repr) (r1: 'b repr) (f: 'a -> 'b -> valexpr tactic): unit = define_primitive name (arity_suc arity_one) @@ fun x y -> f (repr_to r0 x) (repr_to r1 y) (** Defines a function of arity 3 of the same way than {! define1} *) let define3 (name: string) (r0: 'a repr) (r1: 'b repr) (r2: 'c repr) (f: 'a -> 'b -> 'c -> valexpr tactic): unit = define_primitive name (arity_suc (arity_suc arity_one)) @@ fun x y z -> f (repr_to r0 x) (repr_to r1 y) (repr_to r2 z) (** Defines a function of arity 4 of the same way than {! define1} *) let define4 (name: string) (r0: 'a repr) (r1: 'b repr) (r2: 'c repr) (r3: 'd repr) (f: 'a -> 'b -> 'c -> 'd -> valexpr tactic): unit = define_primitive name (arity_suc (arity_suc (arity_suc arity_one))) @@ fun x0 x1 x2 x3 -> f (repr_to r0 x0) (repr_to r1 x1) (repr_to r2 x2) (repr_to r3 x3) (** Defines a function of arity 5 of the same way than {! define1} *) let define5 (name: string) (r0: 'a repr) (r1: 'b repr) (r2: 'c repr) (r3: 'd repr) (r4: 'e repr) (f: 'a -> 'b -> 'c -> 'd -> 'e -> valexpr tactic): unit = define_primitive name (arity_suc (arity_suc (arity_suc (arity_suc arity_one)))) @@ fun x0 x1 x2 x3 x4 -> f (repr_to r0 x0) (repr_to r1 x1) (repr_to r2 x2) (repr_to r3 x3) (repr_to r4 x4) (** Defines a function of arity 6 of the same way than {! define1} *) let define6 (name: string) (r0: 'a repr) (r1: 'b repr) (r2: 'c repr) (r3: 'd repr) (r4: 'e repr) (r5: 'f repr) (f: 'a -> 'b -> 'c -> 'd -> 'e -> 'f -> valexpr tactic): unit = define_primitive name (arity_suc (arity_suc (arity_suc (arity_suc (arity_suc arity_one))))) @@ fun x0 x1 x2 x3 x4 x5 -> f (repr_to r0 x0) (repr_to r1 x1) (repr_to r2 x2) (repr_to r3 x3) (repr_to r4 x4) (repr_to r5 x5) (** Defines a function of arity 7 of the same way than {! define1} *) let define7 (name: string) (r0: 'a repr) (r1: 'b repr) (r2: 'c repr) (r3: 'd repr) (r4: 'e repr) (r5: 'f repr) (r6: 'g repr) (f: 'a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> valexpr tactic): unit = define_primitive name (arity_suc (arity_suc (arity_suc (arity_suc (arity_suc (arity_suc arity_one)))))) @@ fun x0 x1 x2 x3 x4 x5 x6 -> f (repr_to r0 x0) (repr_to r1 x1) (repr_to r2 x2) (repr_to r3 x3) (repr_to r4 x4) (repr_to r5 x5) (repr_to r6 x6) (** Comes from [coq/plugins/ltac2/tac2tactics.ml] *) let thaw (r: 'a repr) (f: (unit, 'a) fun1): 'a tactic = app_fun1 f unit r () (** Comes from [coq/plugins/ltac2/tac2tactics.ml] *) let delayed_of_tactic (tac: 'a tactic) (env: Environ.env) (sigma: Evd.evar_map): (Evd.evar_map * 'a) = let _, pv = Proofview.init sigma [] in let name, poly = Names.Id.of_string "ltac2_delayed", false in let c, pv, _, _ = Proofview.apply ~name ~poly env tac pv in let _, sigma = Proofview.proofview pv in (sigma, c) (** Utilitary function to cast OCaml types into Ltac2-compatibles types Comes from [coq/plugins/ltac2/tac2tactics.ml] *) let delayed_of_thunk (r: 'a repr) (tac: (unit, 'a) fun1) (env: Environ.env) (sigma: Evd.evar_map): (Evd.evar_map * 'a) = delayed_of_tactic (thaw r tac) env sigma (** Converts a ['a repr] into a [(unit -> 'a) repr] *) let thunk (r: 'a repr): (unit, 'a) fun1 repr = fun1 unit r let _ = define0 let _ = define1 let _ = define2 let _ = define3 let _ = define5 let _ = define7 (** Converts a {! Hint_dataset_declarations.database_type} into a [valexpr] *) let database_type_to_valexp (database_type: database_type): valexpr = match database_type with | Main -> ValInt 0 | Decidability -> ValInt 1 | Shorten -> ValInt 2 (** Converts a [valexpr] into a {! Hint_dataset_declarations.database_type} *) let database_type_from_valexp (value: valexpr): database_type = match value with | ValInt n -> let database_type = match n with | 0 -> Main | 1 -> Decidability | 2 -> Shorten | _ -> throw (CastError "cannot cast something an [int] greater than 3 into a [database_type]") in database_type | _ -> throw (CastError "cannot cast something different than an [int] into a [database_type]") (* Exports {! Hint_dataset_declarations.database_type} to Ltac2 *) let () = define0 "database_type_main" @@ tclUNIT @@ database_type_to_valexp Main; define0 "database_type_decidability" @@ tclUNIT @@ database_type_to_valexp Decidability; define0 "database_type_shorten" @@ tclUNIT @@ database_type_to_valexp Shorten (* Exports {! Waterprove.waterprove} to Ltac2 *) let () = define4 "waterprove" int bool (list (thunk constr)) (make_repr database_type_to_valexp database_type_from_valexp) @@ fun depth shield lems database_type -> begin waterprove depth ~shield (List.map (fun lem -> delayed_of_thunk constr lem) lems) database_type end >>= fun () -> tclUNIT @@ of_unit () (* Exports {! Waterprove.rwaterprove} to Ltac2 *) let () = define6 "rwaterprove" int bool (list (thunk constr)) (make_repr database_type_to_valexp database_type_from_valexp) (list constr) (list constr) @@ fun depth shield lems database_type must_use forbidden -> begin rwaterprove depth ~shield (List.map (fun lem -> delayed_of_thunk constr lem) lems) database_type must_use forbidden end >>= fun () -> tclUNIT @@ of_unit () let () = define1 "warn_external" pp @@ fun input -> warn input >>= fun () -> tclUNIT @@ of_unit () let () = define1 "throw_external" pp @@ fun input -> err input >>= fun () -> tclUNIT @@ of_unit ()
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