-type binder_type =
- Declaration
- | Definition
-;;
-
-type metas_context = (int * Cic.term) list;;
+(* Copyright (C) 2000, HELM Team.
+ *
+ * This file is part of HELM, an Hypertextual, Electronic
+ * Library of Mathematics, developed at the Computer Science
+ * Department, University of Bologna, Italy.
+ *
+ * HELM is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * HELM is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with HELM; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA.
+ *
+ * For details, see the HELM World-Wide-Web page,
+ * http://cs.unibo.it/helm/.
+ *)
-type context = (binder_type * Cic.name * Cic.term) list;;
+open ProofEngineHelpers
+open ProofEngineTypes
-type sequent = context * Cic.term;;
+ (* proof assistant status *)
-let proof = ref (None : (metas_context * Cic.term * Cic.term) option);;
-(*CSC: Quando facciamo Clear di una ipotesi, cosa succede? *)
-(* Note: the sequent is redundant: it can be computed from the type of the *)
-(* metavariable and its context in the proof. We keep it just for efficiency *)
-(* because computing the context of a term may be quite expensive. *)
-let goal = ref (None : (int * sequent) option);;
+let proof = ref (None : proof option)
+let goal = ref (None : goal option)
-exception NotImplemented
+let get_proof () = !proof;;
+let set_proof p = proof := p;;
-(*CSC: Funzione che deve sparire!!! *)
-let cic_context_of_context =
- List.map
- (function
- Declaration,_,t -> t
- | Definition,_,_ -> raise NotImplemented
- )
-;;
-
-let refine_meta meta term newmetasenv =
- let (metasenv,bo,ty) =
- match !proof with
+let get_current_status_as_xml () =
+ match get_proof () with
None -> assert false
- | Some (metasenv,bo,ty) -> metasenv,bo,ty
- in
- let metasenv' = newmetasenv @ (List.remove_assoc meta metasenv) in
- let rec aux =
- let module C = Cic in
- function
- C.Rel _ as t -> t
- | C.Var _ as t -> t
- | C.Meta meta' when meta=meta' -> term
- | C.Meta _ as t -> t
- | C.Sort _ as t -> t
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> C.Cast (aux te, aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, aux s, aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, aux s, aux t)
- | C.LetIn (n,s,t) -> C.LetIn (n, aux s, aux t)
- | C.Appl l -> C.Appl (List.map aux l)
- | C.Const _ as t -> t
- | C.Abst _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,aux outt, aux t,
- List.map aux pl)
- | C.Fix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,i,ty,bo) -> (name, i, aux ty, aux bo))
- fl
- in
- C.Fix (i, substitutedfl)
- | C.CoFix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,ty,bo) -> (name, aux ty, aux bo))
- fl
+ | Some (uri, metasenv, bo, ty) ->
+ let uri = match uri with Some uri -> uri | None -> assert false in
+ let currentproof =
+ (*CSC: Wrong: [] is just plainly wrong *)
+ Cic.CurrentProof (UriManager.name_of_uri uri,metasenv,bo,ty,[],[])
+ in
+ let (acurrentproof,_,_,ids_to_inner_sorts,_,_,_) =
+ Cic2acic.acic_object_of_cic_object ~eta_fix:false currentproof
+ in
+ let xml, bodyxml =
+ match
+ Cic2Xml.print_object uri ~ids_to_inner_sorts
+ ~ask_dtd_to_the_getter:true acurrentproof
+ with
+ xml,Some bodyxml -> xml,bodyxml
+ | _,None -> assert false
in
- C.CoFix (i, substitutedfl)
- in
- let metasenv'' = List.map (function i,ty -> i,(aux ty)) metasenv' in
- let bo' = aux bo in
- proof := Some (metasenv'',bo',ty)
+ (xml, bodyxml)
;;
-(* Returns the first meta whose number is above the number of the higher meta. *)
-let new_meta () =
- let metasenv =
- match !proof with
- None -> assert false
- | Some (metasenv,_,_) -> metasenv
- in
- let rec aux =
- function
- None,[] -> 1
- | Some n,[] -> n
- | None,(n,_)::tl -> aux (Some n,tl)
- | Some m,(n,_)::tl -> if n > m then aux (Some n,tl) else aux (Some m,tl)
- in
- 1 + aux (None,metasenv)
+let apply_tactic ~tactic =
+ let module PET = ProofEngineTypes in
+ match get_proof (),!goal with
+ | None,_
+ | _,None -> assert false
+ | Some proof', Some goal' ->
+ let (newproof, newgoals) = PET.apply_tactic tactic (proof', goal') in
+ set_proof (Some newproof);
+ goal :=
+ (match newgoals, newproof with
+ goal::_, _ -> Some goal
+ | [], (_,(goal,_,_)::_,_,_) ->
+ (* the tactic left no open goal ; let's choose the first open goal *)
+ (*CSC: here we could implement and use a proof-tree like notion... *)
+ Some goal
+ | _, _ -> None)
;;
(* metas_in_term term *)
let module C = Cic in
let rec aux =
function
- C.Rel _
- | C.Var _ -> []
- | C.Meta n -> [n]
+ C.Rel _ -> []
+ | C.Meta (n,_) -> [n]
| C.Sort _
- | C.Implicit -> []
+ | C.Implicit _ -> []
| C.Cast (te,ty) -> (aux te) @ (aux ty)
| C.Prod (_,s,t) -> (aux s) @ (aux t)
| C.Lambda (_,s,t) -> (aux s) @ (aux t)
| C.LetIn (_,s,t) -> (aux s) @ (aux t)
| C.Appl l -> List.fold_left (fun i t -> i @ (aux t)) [] l
- | C.Const _
- | C.Abst _
- | C.MutInd _
- | C.MutConstruct _ -> []
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
+ | C.Var (_,exp_named_subst)
+ | C.Const (_,exp_named_subst)
+ | C.MutInd (_,_,exp_named_subst)
+ | C.MutConstruct (_,_,_,exp_named_subst) ->
+ List.fold_left (fun i (_,t) -> i @ (aux t)) [] exp_named_subst
+ | C.MutCase (_,_,outt,t,pl) ->
(aux outt) @ (aux t) @
(List.fold_left (fun i t -> i @ (aux t)) [] pl)
- | C.Fix (i,fl) ->
+ | C.Fix (_,fl) ->
List.fold_left (fun i (_,_,ty,bo) -> i @ (aux bo) @ (aux ty)) [] fl
- | C.CoFix (i,fl) ->
+ | C.CoFix (_,fl) ->
List.fold_left (fun i (_,ty,bo) -> i @ (aux bo) @ (aux ty)) [] fl
in
let metas = aux term in
he::(elim_duplicates (List.filter (function el -> he <> el) tl))
in
elim_duplicates metas
-;;
(* perforate context term ty *)
(* replaces the term [term] in the proof with a new metavariable whose type *)
(* are efficiency reasons. *)
let perforate context term ty =
let module C = Cic in
- let newmeta = new_meta () in
- match !proof with
- None -> assert false
- | Some (metasenv,bo,gty) ->
+ match get_proof () with
+ None -> assert false
+ | Some (uri,metasenv,bo,gty as proof') ->
+ let newmeta = new_meta_of_proof proof' in
(* We push the new meta at the end of the list for pretty-printing *)
(* purposes: in this way metas are ordered. *)
- let metasenv' = metasenv@[newmeta,ty] in
- let rec aux =
- function
- (* Is == strong enough? *)
- t when t == term -> C.Meta newmeta
- | C.Rel _ as t -> t
- | C.Var _ as t -> t
- | C.Meta _ as t -> t
- | C.Sort _ as t -> t
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> C.Cast (aux te, aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, aux s, aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, aux s, aux t)
- | C.LetIn (n,s,t) -> C.LetIn (n, aux s, aux t)
- | C.Appl l -> C.Appl (List.map aux l)
- | C.Const _ as t -> t
- | C.Abst _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,aux outt, aux t,
- List.map aux pl)
- | C.Fix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,i,ty,bo) -> (name, i, aux ty, aux bo))
- fl
- in
- C.Fix (i, substitutedfl)
- | C.CoFix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,ty,bo) -> (name, aux ty, aux bo))
- fl
- in
- C.CoFix (i, substitutedfl)
- in
- let bo' = aux bo in
+ let metasenv' = metasenv@[newmeta,context,ty] in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
+(*CSC: Bug: se ci sono due term uguali nella prova dovrei bucarne uno solo!!!*)
+ let bo' =
+ ProofEngineReduction.replace (==) [term] [C.Meta (newmeta,irl)] bo
+ in
(* It may be possible that some metavariables occurred only in *)
(* the term we are perforating and they now occurs no more. We *)
(* get rid of them, collecting the really useful metavariables *)
(* in metasenv''. *)
+(*CSC: Bug: una meta potrebbe non comparire in bo', ma comparire nel tipo *)
+(*CSC: di una metavariabile che compare in bo'!!!!!!! *)
let newmetas = metas_in_term bo' in
let metasenv'' =
- List.filter (function (n,_) -> List.mem n newmetas) metasenv'
+ List.filter (function (n,_,_) -> List.mem n newmetas) metasenv'
in
- proof := Some (metasenv'',bo',gty) ;
- goal := Some (newmeta,(context,ty)) ;
- newmeta
-;;
+ set_proof (Some (uri,metasenv'',bo',gty)) ;
+ goal := Some newmeta
+
(************************************************************)
(* Some easy tactics. *)
(************************************************************)
-exception Fail of string;;
-
-let intros () =
- let module C = Cic in
- let module R = CicReduction in
- let metasenv =
- match !proof with
- None -> assert false
- | Some (metasenv,_,_) -> metasenv
- in
- let (metano,context,ty) =
- match !goal with
- None -> assert false
- | Some (metano,(context,ty)) -> metano,context,ty
- in
- let newmeta = new_meta () in
- let rec collect_context =
- function
- C.Cast (te,_) -> collect_context te
- | C.Prod (n,s,t) ->
- let (ctx,ty,bo) = collect_context t in
- ((Declaration,n,s)::ctx,ty,C.Lambda(n,s,bo))
- | C.LetIn (n,s,t) ->
- let (ctx,ty,bo) = collect_context t in
- ((Definition,n,s)::ctx,ty,C.LetIn(n,s,bo))
- | _ as t -> [], t, (C.Meta newmeta)
- in
- let revcontext',ty',bo' = collect_context ty in
- let context'' = (List.rev revcontext') @ context in
- refine_meta metano bo' [newmeta,ty'] ;
- goal := Some (newmeta,(context'',ty'))
+(* Reduces [term] using [reduction_function] in the current scratch goal [ty] *)
+let reduction_tactic_in_scratch reduction_function terms ty =
+ let metasenv =
+ match get_proof () with
+ None -> []
+ | Some (_,metasenv,_,_) -> metasenv
+ in
+ let metano,context,_ =
+ match !goal with
+ None -> assert false
+ | Some metano -> List.find (function (m,_,_) -> m=metano) metasenv
+ in
+ let terms' = List.map (reduction_function context) terms in
+ ProofEngineReduction.replace
+ ~equality:(==) ~what:terms ~with_what:terms' ~where:ty
;;
-(* The term bo must be closed in the current context *)
-let exact bo =
- let module T = CicTypeChecker in
- let module R = CicReduction in
- let metasenv =
- match !proof with
- None -> assert false
- | Some (metasenv,_,_) -> metasenv
- in
- let (metano,context,ty) =
- match !goal with
- None -> assert false
- | Some (metano,(context,ty)) ->
- assert (ty = List.assoc metano metasenv) ;
- (* Invariant: context is the actual context of the meta in the proof *)
- metano,context,ty
- in
- (*CSC: deve sparire! *)
- let context = cic_context_of_context context in
- if R.are_convertible (T.type_of_aux' metasenv context bo) ty then
- begin
- refine_meta metano bo [] ;
- goal := None
- end
- else
- raise (Fail "The type of the provided term is not the one expected.")
-;;
+let whd_in_scratch = reduction_tactic_in_scratch CicReduction.whd
+let reduce_in_scratch = reduction_tactic_in_scratch ProofEngineReduction.reduce
+let simpl_in_scratch = reduction_tactic_in_scratch ProofEngineReduction.simpl
+
+(************************************************************)
+(* Tactics defined elsewhere *)
+(************************************************************)
+
+ (* primitive tactics *)
+
+let apply term = apply_tactic (PrimitiveTactics.apply_tac ~term)
+let intros ?mk_fresh_name_callback () =
+ apply_tactic (PrimitiveTactics.intros_tac ?mk_fresh_name_callback ())
+let cut ?mk_fresh_name_callback term =
+ apply_tactic (PrimitiveTactics.cut_tac ?mk_fresh_name_callback ~term)
+let letin ?mk_fresh_name_callback term =
+ apply_tactic (PrimitiveTactics.letin_tac ?mk_fresh_name_callback ~term)
+let exact term = apply_tactic (PrimitiveTactics.exact_tac ~term)
+let elim_intros_simpl term =
+ apply_tactic (PrimitiveTactics.elim_intros_simpl_tac ~term)
+let change ~goal_input:what ~input:with_what =
+ apply_tactic (PrimitiveTactics.change_tac ~what ~with_what)
+
+ (* structural tactics *)
+
+let clearbody hyp = apply_tactic (ProofEngineStructuralRules.clearbody ~hyp)
+let clear hyp = apply_tactic (ProofEngineStructuralRules.clear ~hyp)
+
+ (* reduction tactics *)
+
+let whd terms =
+ apply_tactic
+ (ReductionTactics.whd_tac ~also_in_hypotheses:true ~terms:(Some terms))
+let reduce terms =
+ apply_tactic
+ (ReductionTactics.reduce_tac ~also_in_hypotheses:true ~terms:(Some terms))
+let simpl terms =
+ apply_tactic
+ (ReductionTactics.simpl_tac ~also_in_hypotheses:true ~terms:(Some terms))
+
+let fold_whd term =
+ apply_tactic
+ (ReductionTactics.fold_tac ~reduction:CicReduction.whd
+ ~also_in_hypotheses:true ~term)
+let fold_reduce term =
+ apply_tactic
+ (ReductionTactics.fold_tac ~reduction:ProofEngineReduction.reduce
+ ~also_in_hypotheses:true ~term)
+let fold_simpl term =
+ apply_tactic
+ (ReductionTactics.fold_tac ~reduction:ProofEngineReduction.simpl
+ ~also_in_hypotheses:true ~term)
+
+ (* other tactics *)
+
+let elim_type term = apply_tactic (EliminationTactics.elim_type_tac ~term)
+let ring () = apply_tactic Ring.ring_tac
+let fourier () = apply_tactic FourierR.fourier_tac
+
+(* let auto ~dbd () = apply_tactic (AutoTactic.auto_tac ~dbd) *)
+let auto ~dbd () = apply_tactic (AutoTactic.auto_tac_new ~dbd)
+
+
+let rewrite_simpl term = apply_tactic (EqualityTactics.rewrite_simpl_tac ~term)
+let rewrite_back_simpl term = apply_tactic (EqualityTactics.rewrite_back_simpl_tac ~term)
+let replace ~goal_input:what ~input:with_what =
+ apply_tactic (EqualityTactics.replace_tac ~what ~with_what)
+
+let reflexivity () = apply_tactic EqualityTactics.reflexivity_tac
+let symmetry () = apply_tactic EqualityTactics.symmetry_tac
+let transitivity term = apply_tactic (EqualityTactics.transitivity_tac ~term)
+
+let exists () = apply_tactic IntroductionTactics.exists_tac
+let split () = apply_tactic IntroductionTactics.split_tac
+let left () = apply_tactic IntroductionTactics.left_tac
+let right () = apply_tactic IntroductionTactics.right_tac
+
+let assumption () = apply_tactic VariousTactics.assumption_tac
+
+let generalize ?mk_fresh_name_callback terms =
+ apply_tactic (VariousTactics.generalize_tac ?mk_fresh_name_callback terms)
+
+let absurd term = apply_tactic (NegationTactics.absurd_tac ~term)
+let contradiction () = apply_tactic NegationTactics.contradiction_tac
+
+let decompose ~uris_choice_callback term =
+ apply_tactic (EliminationTactics.decompose_tac ~uris_choice_callback term)
+
+let injection term = apply_tactic (DiscriminationTactics.injection_tac ~term)
+let discriminate term = apply_tactic (DiscriminationTactics.discriminate_tac ~term)
+let decide_equality () = apply_tactic DiscriminationTactics.decide_equality_tac
+let compare term = apply_tactic (DiscriminationTactics.compare_tac ~term)
+
+(*
+let prova_tatticali () = apply_tactic Tacticals.prova_tac
+*)
-(* The term bo must be closed in the current context *)
-let apply term =
- let module T = CicTypeChecker in
- let module R = CicReduction in
- let module C = Cic in
- let metasenv =
- match !proof with
- None -> assert false
- | Some (metasenv,_,_) -> metasenv
- in
- let (metano,context,ty) =
- match !goal with
- None -> assert false
- | Some (metano,(context,ty)) ->
- assert (ty = List.assoc metano metasenv) ;
- (* Invariant: context is the actual context of the meta in the proof *)
- metano,context,ty
- in
- (*CSC: deve sparire! *)
- let ciccontext = cic_context_of_context context in
- let mgu,mgut = CicUnification.apply metasenv ciccontext term ty in
- let mgul = Array.to_list mgu in
- let mgutl = Array.to_list mgut in
- let applymetas_to_metas =
- let newmeta = new_meta () in
- (* WARNING: here we are using the invariant that above the most *)
- (* recente new_meta() there are no used metas. *)
- Array.init (List.length mgul) (function i -> newmeta + i) in
- (* WARNING!!!!!!!!!!!!!!!!!!!!!!!!!!!!! *)
- (* Here we assume that either a META has been instantiated with *)
- (* a close term or with itself. *)
- let uninstantiatedmetas =
- List.fold_right2
- (fun bo ty newmetas ->
- match bo with
- Cic.Meta i ->
- let newmeta = applymetas_to_metas.(i) in
- (*CSC: se ty contiene metas, queste hanno il numero errato!!! *)
- let ty_with_newmetas =
- (* Substitues (META n) with (META (applymetas_to_metas.(n))) *)
- let rec aux =
- function
- C.Rel _
- | C.Var _ as t -> t
- | C.Meta n -> C.Meta (applymetas_to_metas.(n))
- | C.Sort _
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> C.Cast (aux te, aux ty)
- | C.Prod (n,s,t) -> C.Prod (n, aux s, aux t)
- | C.Lambda (n,s,t) -> C.Lambda (n, aux s, aux t)
- | C.LetIn (n,s,t) -> C.LetIn (n, aux s, aux t)
- | C.Appl l -> C.Appl (List.map aux l)
- | C.Const _ as t -> t
- | C.Abst _ -> assert false
- | C.MutInd _
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,i,aux outt, aux t,
- List.map aux pl)
- | C.Fix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,i,ty,bo) -> (name, i, aux ty, aux bo))
- fl
- in
- C.Fix (i, substitutedfl)
- | C.CoFix (i,fl) ->
- let substitutedfl =
- List.map
- (fun (name,ty,bo) -> (name, aux ty, aux bo))
- fl
- in
- C.CoFix (i, substitutedfl)
- in
- aux ty
- in
- (newmeta,ty_with_newmetas)::newmetas
- | _ -> newmetas
- ) mgul mgutl []
- in
- let mgul' =
- List.map
- (function
- Cic.Meta i -> Cic.Meta (applymetas_to_metas.(i))
- | _ as t -> t
- ) mgul in
- let bo' =
- if List.length mgul' = 0 then
- term
- else
- Cic.Appl (term::mgul')
- in
- refine_meta metano bo' uninstantiatedmetas ;
- match uninstantiatedmetas with
- (n,ty)::tl -> goal := Some (n,(context,ty))
- | [] -> goal := None
-;;
projects / helm.git / blobdiff