open Printf
-
open MatitaTypes
+let debug = false ;;
+let debug_print = if debug then prerr_endline else ignore ;;
(** create a ProofEngineTypes.mk_fresh_name_type function which uses given
* names as long as they are available, then it fallbacks to name generation
FreshNamesGenerator.mk_fresh_name ~subst:[] metasenv context name ~typ
let tactic_of_ast = function
- | TacticAst.Intros (_, _, names) ->
+ | TacticAst.Intros (_, None, names) ->
(* TODO Zack implement intros length *)
PrimitiveTactics.intros_tac ~mk_fresh_name_callback:(namer_of names) ()
+ | TacticAst.Intros (_, Some num, names) ->
+ (* TODO Zack implement intros length *)
+ PrimitiveTactics.intros_tac ~howmany:num
+ ~mk_fresh_name_callback:(namer_of names) ()
| TacticAst.Reflexivity _ -> Tactics.reflexivity
| TacticAst.Assumption _ -> Tactics.assumption
| TacticAst.Contradiction _ -> Tactics.contradiction
| TacticAst.Cut (_, term) -> Tactics.cut term
| TacticAst.Elim (_, term, _) ->
(* TODO Zack implement "using" argument *)
- Tactics.elim_intros_simpl term
+ (* old: Tactics.elim_intros_simpl term *)
+ Tactics.elim_intros term
| TacticAst.ElimType (_, term) -> Tactics.elim_type term
| TacticAst.Replace (_, what, with_what) -> Tactics.replace ~what ~with_what
| TacticAst.Auto (_,num) ->
- AutoTactic.auto_tac ~num ~dbd:(MatitaDb.instance ())
+ AutoTactic.auto_tac ~num (MatitaDb.instance ())
| TacticAst.Change (_, what, with_what, _) -> Tactics.change ~what ~with_what
(*
(* TODO Zack a lot more of tactics to be implemented here ... *)
| TacticAst.Discriminate of 'ident
| TacticAst.Fold of reduction_kind * 'term
| TacticAst.Injection of 'ident
- | TacticAst.LetIn of 'term * 'ident
- | TacticAst.Reduce of reduction_kind * 'term pattern * 'ident option
| TacticAst.Replace_pattern of 'term pattern * 'term
- | TacticAst.Rewrite of direction * 'term * 'ident option
*)
+ | TacticAst.LetIn (loc,term,name) ->
+ Tactics.letin term ~mk_fresh_name_callback:(namer_of [name])
+ | TacticAst.ReduceAt (_,reduction_kind,ident,path) ->
+ ProofEngineTypes.mk_tactic
+ (fun (((_,metasenv,_,_),goal) as status) ->
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
+ let where, also_in_hypotheses =
+ if ident = "goal" then
+ ty, false
+ else
+ let hyp =
+ try
+ List.find (function
+ | Some (Cic.Name name,entry) when name = ident -> true
+ | _ -> false)
+ context
+ with
+ Not_found ->
+ raise (ProofEngineTypes.Fail
+ (ident ^ " is not an hypothesis"))
+ in
+ (match hyp with
+ | Some (_, Cic.Decl term) -> term
+ | Some (_, Cic.Def (term,ty)) -> term
+ | None -> assert false),true
+ in
+ let pointers = CicUtil.select ~term:where ~context:path in
+ (match reduction_kind with
+ | `Normalize ->
+ ProofEngineTypes.apply_tactic
+ (Tactics.normalize ~also_in_hypotheses ~terms:(Some pointers))
+ status
+ | `Reduce ->
+ ProofEngineTypes.apply_tactic
+ (Tactics.reduce ~also_in_hypotheses ~terms:(Some pointers))
+ status
+ | `Simpl ->
+ ProofEngineTypes.apply_tactic
+ (Tactics.simpl ~also_in_hypotheses ~terms:(Some pointers))
+ status
+ | `Whd ->
+ ProofEngineTypes.apply_tactic
+ (Tactics.whd ~also_in_hypotheses ~terms:(Some pointers))
+ status))
+ | TacticAst.Reduce (_,reduction_kind,opts) ->
+ let terms, also_in_hypotheses =
+ match opts with
+ | Some (l,`Goal) -> Some l, false
+ | Some (l,`Everywhere) -> Some l, true
+ | None -> None, false
+ in
+ (match reduction_kind with
+ | `Normalize -> Tactics.normalize ~also_in_hypotheses ~terms
+ | `Reduce -> Tactics.reduce ~also_in_hypotheses ~terms
+ | `Simpl -> Tactics.simpl ~also_in_hypotheses ~terms
+ | `Whd -> Tactics.whd ~also_in_hypotheses ~terms)
+ | TacticAst.Rewrite (_,dir,t,ident) ->
+ if dir = `Left then
+ EqualityTactics.rewrite_tac ~term:t
+ else
+ EqualityTactics.rewrite_back_tac ~term:t
+ | TacticAst.FwdSimpl (_, name) ->
+ Tactics.fwd_simpl ~hyp:(Cic.Name name) ~dbd:(MatitaDb.instance ())
+ | TacticAst.LApply (_, term, substs) ->
+ let f (name, term) = Cic.Name name, term in
+ Tactics.lapply ~substs:(List.map f substs) term
| _ -> assert false
let eval_tactical status tac =
in
apply_tactic (tactical_of_ast tac)
+let eval_coercion status coercion =
+ let coer_uri,coer_ty =
+ match coercion with
+ | Cic.Const (uri,_)
+ | Cic.Var (uri,_) ->
+ let o,_ =
+ CicEnvironment.get_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ | Cic.Constant (_,_,ty,_,_)
+ | Cic.Variable (_,_,ty,_,_) ->
+ uri,ty
+ | _ -> assert false)
+ | Cic.MutConstruct (uri,t,c,_) ->
+ let o,_ =
+ CicEnvironment.get_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ | Cic.InductiveDefinition (l,_,_,_) ->
+ let (_,_,_,cl) = List.nth l t in
+ let (_,cty) = List.nth cl c in
+ uri,cty
+ | _ -> assert false)
+ | _ -> assert false
+ in
+ (* we have to get the source and the tgt type uri
+ * in Coq syntax we have already their names, but
+ * since we don't support Funclass and similar I think
+ * all the coercion should be of the form
+ * (A:?)(B:?)T1->T2
+ * So we should be able to extract them from the coercion type
+ *)
+ let extract_last_two_p ty =
+ let rec aux = function
+ | Cic.Prod( _, src, Cic.Prod (n,t1,t2)) -> aux (Cic.Prod(n,t1,t2))
+ | Cic.Prod( _, src, tgt) -> src, tgt
+ | _ -> assert false
+ in
+ aux ty
+ in
+ let ty_src,ty_tgt = extract_last_two_p coer_ty in
+ let context = [] in
+ let src_uri =
+ let ty_src = CicReduction.whd context ty_src in
+ UriManager.uri_of_string (CicUtil.uri_of_term ty_src)
+ in
+ let tgt_uri =
+ let ty_tgt = CicReduction.whd context ty_tgt in
+ UriManager.uri_of_string (CicUtil.uri_of_term ty_tgt)
+ in
+ let new_coercions =
+ (* also adds them to the Db *)
+ CoercGraph.close_coercion_graph src_uri tgt_uri coer_uri in
+ let status =
+ List.fold_left (fun s (uri,o,ugraph) -> MatitaSync.add_obj uri o status)
+ status new_coercions in
+ {status with proof_status = No_proof}
+
+let generate_elimination_principles uri status =
+ let elim sort status =
+ try
+ let uri,obj = CicElim.elim_of ~sort uri 0 in
+ MatitaSync.add_obj uri obj status
+ with CicElim.Can_t_eliminate -> status
+ in
+ List.fold_left (fun status sort -> elim sort status) status
+ [ Cic.Prop; Cic.Set; (Cic.Type (CicUniv.fresh ())) ]
+
+let generate_projections uri status =
+ let projections = CicRecord.projections_of uri in
+ List.fold_left
+ (fun status (uri, name, bo) ->
+ try
+ let ty, ugraph =
+ CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph in
+ let bo = Unshare.unshare bo in
+ let ty = Unshare.unshare ty in
+ let attrs = [`Class `Projection; `Generated] in
+ let obj = Cic.Constant (name,Some bo,ty,[],attrs) in
+ MatitaSync.add_obj uri obj status
+ with
+ CicTypeChecker.TypeCheckerFailure s ->
+ MatitaLog.message
+ ("Unable to create projection " ^ name ^ " cause: " ^ s);
+ status
+ | CicEnvironment.Object_not_found uri ->
+ let depend = UriManager.name_of_uri uri in
+ MatitaLog.message
+ ("Unable to create projection " ^ name ^ " because it requires " ^ depend);
+ status
+ ) status projections
+
let eval_command status cmd =
match cmd with
| TacticAst.Set (loc, name, value) -> set_option status name value
let suri = UriManager.string_of_uri uri in
if metasenv <> [] then
command_error "Proof not completed! metasenv is not empty!";
- let proved_ty,ugraph =
- CicTypeChecker.type_of_aux' [] [] bo CicUniv.empty_ugraph
- in
- let b,ugraph =
- CicReduction.are_convertible [] proved_ty ty ugraph
- in
- if not b then
- command_error
- ("The type of your proof is not convertible with the "^
- "type you've declared!");
- MatitaLog.message (sprintf "%s defined" suri);
- let status = MatitaSync.add_constant ~uri ~body:bo ~ty ~ugraph status in
- {status with proof_status = No_proof }
- | TacticAst.Inductive (loc, dummy_params, types) ->
- (* dummy_params are not real params, it is a list of nothing, and the only
- * semantic content is the len, that is leftno (note: leftno and pamaters
- * have nothing in common).
- *)
- let suri =
- match types with
- | (name, _, _, _) :: tl -> MatitaMisc.qualify status name ^ ".ind"
- | _ -> assert false
- in
- let uri = UriManager.uri_of_string suri in
- let leftno = List.length dummy_params in
- let obj = Cic.InductiveDefinition (types, [], leftno, []) in
- let ugraph =
- CicTypeChecker.typecheck_mutual_inductive_defs uri
- (types, [], leftno) CicUniv.empty_ugraph
- in
- MatitaSync.add_inductive_def
- ~uri ~types ~params:[] ~leftno ~ugraph status;
- | TacticAst.Theorem (loc, thm_flavour, Some name, ty, None) ->
- let uri =
- UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".con")
- in
- let goalno = 1 in
- let metasenv, body =
- match status.proof_status with
- | Intermediate metasenv ->
- ((goalno, [], ty) :: metasenv) , Cic.Meta (goalno,[])
- | _-> assert false
- in
- let initial_proof = (Some uri, metasenv, body, ty) in
- { status with proof_status = Incomplete_proof (initial_proof,goalno)}
- | TacticAst.Theorem (loc, thm_flavour, Some name, ty, Some body) ->
- let uri =
- UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".con")
- in
- let metasenv = MatitaMisc.get_proof_metasenv status in
- let (body_type, ugraph) =
- CicTypeChecker.type_of_aux' metasenv [] body CicUniv.empty_ugraph
- in
- let (subst, metasenv, ugraph) =
- CicUnification.fo_unif metasenv [] body_type ty ugraph
- in
- if metasenv <> [] then
- command_error
- "metasenv not empty while giving a definition with body";
- let body = CicMetaSubst.apply_subst subst body in
- let ty = CicMetaSubst.apply_subst subst ty in
- MatitaSync.add_constant ~uri ~body ~ty ~ugraph status
- | TacticAst.Theorem (_, _, None, _, _) ->
- command_error "The grammas should avoid having unnamed theorems!"
- | TacticAst.Coercion (loc, term) -> assert false (** TODO *)
+ let name = UriManager.name_of_uri uri in
+ let obj = Cic.Constant (name,Some bo,ty,[],[]) in
+ MatitaSync.add_obj uri obj status
+ | TacticAst.Coercion (loc, coercion) ->
+ eval_coercion status coercion
| TacticAst.Alias (loc, spec) ->
- match spec with
+ (match spec with
| TacticAst.Ident_alias (id,uri) ->
{status with aliases =
DisambiguateTypes.Environment.add
{status with aliases =
DisambiguateTypes.Environment.add
(DisambiguateTypes.Num instance)
- (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases }
+ (DisambiguateChoices.lookup_num_by_dsc desc) status.aliases })
+ | TacticAst.Obj (loc,obj) ->
+ let ext,name =
+ match obj with
+ Cic.Constant (name,_,_,_,_)
+ | Cic.CurrentProof (name,_,_,_,_,_) -> ".con",name
+ | Cic.InductiveDefinition (types,_,_,_) ->
+ ".ind",
+ (match types with (name,_,_,_)::_ -> name | _ -> assert false)
+ | _ -> assert false in
+ let uri =
+ UriManager.uri_of_string (MatitaMisc.qualify status name ^ ext)
+ in
+ let metasenv = MatitaMisc.get_proof_metasenv status in
+ match obj with
+ Cic.CurrentProof (_,metasenv',bo,ty,_,_) ->
+ assert (metasenv = metasenv');
+ let goalno =
+ match metasenv' with (goalno,_,_)::_ -> goalno | _ -> assert false in
+ let initial_proof = (Some uri, metasenv, bo, ty) in
+ { status with proof_status = Incomplete_proof (initial_proof,goalno)}
+ | _ ->
+ if metasenv <> [] then
+ command_error (
+ "metasenv not empty while giving a definition with body: " ^
+ CicMetaSubst.ppmetasenv metasenv []);
+ let status = MatitaSync.add_obj uri obj status in
+ match obj with
+ Cic.Constant _ -> status
+ | Cic.InductiveDefinition (_,_,_,attrs)
+ when List.mem (`Class `Record) attrs ->
+ let status = generate_elimination_principles uri status in
+ generate_projections uri status
+ | Cic.InductiveDefinition (_,_,_,_) ->
+ generate_elimination_principles uri status
+ | Cic.CurrentProof _
+ | Cic.Variable _ -> assert false
-let eval status st =
- match st with
+let eval_executable status ex =
+ match ex with
| TacticAst.Tactical (_, tac) -> eval_tactical status tac
| TacticAst.Command (_, cmd) -> eval_command status cmd
| TacticAst.Macro (_, mac) ->
command_error (sprintf "The macro %s can't be in a script"
(TacticAstPp.pp_macro_cic mac))
+let eval_comment status c = status
+
+let eval status st =
+ match st with
+ | TacticAst.Executable (_,ex) -> eval_executable status ex
+ | TacticAst.Comment (_,c) -> eval_comment status c
+
let disambiguate_term status term =
let (aliases, metasenv, cic, _) =
match
in
status, cic
-let disambiguate_terms status terms =
+let disambiguate_obj status obj =
+ let uri =
+ match obj with
+ TacticAst.Inductive (_,(name,_,_,_)::_)
+ | TacticAst.Record (_,name,_,_) ->
+ Some (UriManager.uri_of_string (MatitaMisc.qualify status name ^ ".ind"))
+ | TacticAst.Inductive _ -> assert false
+ | _ -> None in
+ let (aliases, metasenv, cic, _) =
+ match
+ MatitaDisambiguator.disambiguate_obj ~dbd:(MatitaDb.instance ())
+ ~aliases:(status.aliases) ~uri obj
+ with
+ | [x] -> x
+ | _ -> assert false
+ in
+ let proof_status =
+ match status.proof_status with
+ | No_proof -> Intermediate metasenv
+ | Incomplete_proof _
+ | Intermediate _
+ | Proof _ -> assert false
+ in
+ let status =
+ { status with
+ aliases = aliases;
+ proof_status = proof_status }
+ in
+ status, cic
+
+let disambiguate_closedtypes status terms =
let term = CicAst.pack terms in
let status, term = disambiguate_term status term in
status, CicUtil.unpack term
| TacticAst.Discriminate of 'ident
| TacticAst.Fold of reduction_kind * 'term
| TacticAst.Injection of 'ident
- | TacticAst.LetIn of 'term * 'ident
- | TacticAst.Reduce of reduction_kind * 'term pattern * 'ident option
| TacticAst.Replace_pattern of 'term pattern * 'term
- | TacticAst.Rewrite of direction * 'term * 'ident option
*)
+ | TacticAst.LetIn (loc,term,name) ->
+ let status, term = disambiguate_term status term in
+ status, TacticAst.LetIn (loc,term,name)
+ | TacticAst.ReduceAt (loc, reduction_kind, ident, path) ->
+ let path = Disambiguate.interpretate_path [] status.aliases path in
+ status, TacticAst.ReduceAt(loc, reduction_kind, ident, path)
+ | TacticAst.Reduce (loc, reduction_kind, opts) ->
+ let status, opts =
+ match opts with
+ | None -> status, None
+ | Some (l,pat) ->
+ let status, l =
+ List.fold_right (fun t (status,acc) ->
+ let status',t' = disambiguate_term status t in
+ status', t'::acc)
+ l (status,[])
+ in
+ status, Some (l, pat)
+ in
+ status, TacticAst.Reduce (loc, reduction_kind, opts)
+ | TacticAst.Rewrite (loc,dir,t,ident) ->
+ let status, term = disambiguate_term status t in
+ status, TacticAst.Rewrite (loc,dir,term,ident)
| TacticAst.Intros (loc, num, names) ->
status, TacticAst.Intros (loc, num, names)
| TacticAst.Auto (loc,num) -> status, TacticAst.Auto (loc,num)
| TacticAst.Split loc -> status, TacticAst.Split loc
| TacticAst.Symmetry loc -> status, TacticAst.Symmetry loc
| TacticAst.Goal (loc, g) -> status, TacticAst.Goal (loc, g)
+ | TacticAst.FwdSimpl (loc, name) -> status, TacticAst.FwdSimpl (loc, name)
+ | TacticAst.LApply (loc, term, substs) ->
+ let f (status, substs) (name, term) =
+ let status, term = disambiguate_term status term in
+ status, (name, term) :: substs
+ in
+ let status, term = disambiguate_term status term in
+ let status, substs = List.fold_left f (status, []) substs in
+ status, TacticAst.LApply (loc, term, substs)
+
| x ->
print_endline ("Not yet implemented:" ^ TacticAstPp.pp_tactic x);
assert false
let tacticals = List.rev tacticals in
status, tacticals
-let disambiguate_inddef status params indTypes =
- let add_pi binders t =
- List.fold_right
- (fun (name, ast) acc ->
- CicAst.Binder (`Forall, (Cic.Name name, Some ast), acc))
- binders t
- in
- let ind_binders =
- List.map (fun (name, _, typ, _) -> (name, add_pi params typ)) indTypes
- in
- let binders = ind_binders @ params in
- let asts = ref [] in
- let add_ast ast = asts := ast :: !asts in
- let paramsno = List.length params in
- let indbindersno = List.length ind_binders in
- List.iter
- (fun (name, _, typ, constructors) ->
- add_ast (add_pi params typ);
- List.iter (fun (_, ast) -> add_ast (add_pi binders ast)) constructors)
- indTypes;
- let status, terms = disambiguate_terms status !asts in
- let terms = ref (List.rev terms) in
- let get_term () =
- match !terms with [] -> assert false | hd :: tl -> terms := tl; hd
- in
- let uri =
- match indTypes with
- | (name, _, _, _) :: _ -> MatitaMisc.qualify status name ^ ".ind"
- | _ -> assert false
- in
- let mutinds =
- let counter = ref 0 in
- List.map
- (fun _ ->
- incr counter;
- CicUtil.term_of_uri (sprintf "%s#xpointer(1/%d)" uri !counter))
- indTypes
- in
- let subst_mutinds = List.fold_right CicSubstitution.subst mutinds in
- let cicIndTypes =
- List.fold_left
- (fun acc (name, inductive, typ, constructors) ->
- let cicTyp = get_term () in
- let cicConstructors =
- List.fold_left
- (fun acc (name, _) ->
- let typ =
- subst_mutinds (CicUtil.strip_prods indbindersno (get_term ()))
- in
- (name, typ) :: acc)
- [] constructors
- in
- (name, inductive, cicTyp, List.rev cicConstructors) :: acc)
- [] indTypes
- in
- let cicIndTypes = List.rev cicIndTypes in
- status, (UriManager.uri_of_string uri, (cicIndTypes, [], paramsno))
-
let disambiguate_command status = function
- | TacticAst.Inductive (loc, params, types) ->
- let (status, (uri, (ind_types, vars, paramsno))) =
- disambiguate_inddef status params types
- in
- let rec mk_list = function
- | 0 -> []
- | n -> ("", Cic.Rel ~-117) :: mk_list (n-1)
- in
- (* once we've built the cic inductive types we no longer need terms
- corresponding to parameters, but we need the leftno, and we encode
- it as the length of dummy_params
- *)
- let dummy_params = mk_list paramsno in
- status, TacticAst.Inductive (loc, dummy_params, ind_types)
- | TacticAst.Theorem (loc, thm_flavour, name, ty, body) ->
- let status, ty = disambiguate_term status ty in
- let status, body =
- match body with
- | None -> status, None
- | Some body ->
- let status, body = disambiguate_term status body in
- status, Some body
- in
- status, TacticAst.Theorem (loc, thm_flavour, name, ty, body)
- | TacticAst.Coercion (loc, term) -> assert false (** TODO *)
+ | TacticAst.Coercion (loc, term) ->
+ let status, term = disambiguate_term status term in
+ status, TacticAst.Coercion (loc,term)
| (TacticAst.Set _ | TacticAst.Qed _) as cmd ->
status, cmd
| TacticAst.Alias _ as x -> status, x
+ | TacticAst.Obj (loc,obj) ->
+ let status,obj = disambiguate_obj status obj in
+ status, TacticAst.Obj (loc,obj)
-let disambiguate_statement status statement =
- match statement with
+let disambiguate_executable status ex =
+ match ex with
| TacticAst.Tactical (loc, tac) ->
let status, tac = disambiguate_tactical status tac in
status, (TacticAst.Tactical (loc, tac))
let status, cmd = disambiguate_command status cmd in
status, (TacticAst.Command (loc, cmd))
| TacticAst.Macro (_, mac) ->
- command_error
- (sprintf ("The engine is not allowed to disambiguate any macro, "^^
- "in particular %s") (TacticAstPp.pp_macro_ast mac))
+ command_error (sprintf "The macro %s can't be in a script"
+ (TacticAstPp.pp_macro_ast mac))
+
+let disambiguate_comment status c =
+ match c with
+ | TacticAst.Note (loc,n) -> status, TacticAst.Note (loc,n)
+ | TacticAst.Code (loc,ex) ->
+ let status, ex = disambiguate_executable status ex in
+ status, TacticAst.Code (loc,ex)
+
+let disambiguate_statement status statement =
+ match statement with
+ | TacticAst.Comment (loc,c) ->
+ let status, c = disambiguate_comment status c in
+ status, TacticAst.Comment (loc,c)
+ | TacticAst.Executable (loc,ex) ->
+ let status, ex = disambiguate_executable status ex in
+ status, TacticAst.Executable (loc,ex)
let eval_ast status ast =
let status,st = disambiguate_statement status ast in
(* this disambiguation step should be deferred to support tacticals *)
eval status st
-let eval_from_stream status str =
- let st = CicTextualParser2.parse_statement str in
- eval_ast status st
+let eval_from_stream status str cb =
+ let stl = CicTextualParser2.parse_statements str in
+ List.fold_left
+ (fun status ast -> cb status ast;eval_ast status ast) status
+ stl
let eval_string status str =
- eval_from_stream status (Stream.of_string str)
+ eval_from_stream status (Stream.of_string str) (fun _ _ -> ())
let default_options () =
let options =
aliases = DisambiguateTypes.empty_environment;
proof_status = No_proof;
options = default_options ();
- coercions = [];
objects = [];
}
+
projects / helm.git / blobdiff