X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Focaml%2Fcic_proof_checking%2FcicReductionNaif.ml;h=987f4b6edbd8bc932207aeee2f493b2ea8135986;hb=1c7fb836e2af4f2f3d18afd0396701f2094265ff;hp=e0ad91f59b2414c3c855fb07287edc0f0e341c88;hpb=0054d117ebed7924a96bcaadc9bcbbef9d372938;p=helm.git diff --git a/helm/ocaml/cic_proof_checking/cicReductionNaif.ml b/helm/ocaml/cic_proof_checking/cicReductionNaif.ml index e0ad91f59..987f4b6ed 100644 --- a/helm/ocaml/cic_proof_checking/cicReductionNaif.ml +++ b/helm/ocaml/cic_proof_checking/cicReductionNaif.ml @@ -31,37 +31,39 @@ let debug t env s = let rec debug_aux t i = let module C = Cic in let module U = UriManager in - CicPp.ppobj (C.Variable ("DEBUG", None, t)) ^ "\n" ^ i + CicPp.ppobj (C.Variable ("DEBUG", None, t, [])) ^ "\n" ^ i in if !fdebug = 0 then - begin - print_endline (s ^ "\n" ^ List.fold_right debug_aux (t::env) "") ; - flush stdout - end + prerr_endline (s ^ "\n" ^ List.fold_right debug_aux (t::env) "") ;; exception Impossible of int;; -exception ReferenceToDefinition;; -exception ReferenceToAxiom;; +exception ReferenceToConstant;; exception ReferenceToVariable;; exception ReferenceToCurrentProof;; exception ReferenceToInductiveDefinition;; +exception RelToHiddenHypothesis;; (* takes a well-typed term *) -let whd = +let whd context = let rec whdaux l = let module C = Cic in let module S = CicSubstitution in function - C.Rel _ as t -> if l = [] then t else C.Appl (t::l) - | C.Var uri as t -> - (match CicEnvironment.get_cooked_obj uri 0 with - C.Definition _ -> raise ReferenceToDefinition - | C.Axiom _ -> raise ReferenceToAxiom + C.Rel n as t -> + (match List.nth context (n-1) with + Some (_, C.Decl _) -> if l = [] then t else C.Appl (t::l) + | Some (_, C.Def bo) -> whdaux l (S.lift n bo) + | None -> raise RelToHiddenHypothesis + ) + | C.Var (uri,exp_named_subst) as t -> + (match CicEnvironment.get_cooked_obj ~trust:false uri with + C.Constant _ -> raise ReferenceToConstant | C.CurrentProof _ -> raise ReferenceToCurrentProof | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition - | C.Variable (_,None,_) -> if l = [] then t else C.Appl (t::l) - | C.Variable (_,Some body,_) -> whdaux l body + | C.Variable (_,None,_,_) -> if l = [] then t else C.Appl (t::l) + | C.Variable (_,Some body,_,_) -> + whdaux l (CicSubstitution.subst_vars exp_named_subst body) ) | C.Meta _ as t -> if l = [] then t else C.Appl (t::l) | C.Sort _ as t -> t (* l should be empty *) @@ -77,18 +79,19 @@ let whd = | C.LetIn (n,s,t) -> whdaux l (S.subst (whdaux [] s) t) | C.Appl (he::tl) -> whdaux (tl@l) he | C.Appl [] -> raise (Impossible 1) - | C.Const (uri,cookingsno) as t -> - (match CicEnvironment.get_cooked_obj uri cookingsno with - C.Definition (_,body,_,_) -> whdaux l body - | C.Axiom _ -> if l = [] then t else C.Appl (t::l) + | C.Const (uri,exp_named_subst) as t -> + (match CicEnvironment.get_cooked_obj ~trust:false uri with + C.Constant (_,Some body,_,_) -> + whdaux l (CicSubstitution.subst_vars exp_named_subst body) + | C.Constant _ -> if l = [] then t else C.Appl (t::l) | C.Variable _ -> raise ReferenceToVariable - | C.CurrentProof (_,_,body,_) -> whdaux l body + | C.CurrentProof (_,_,body,_,_) -> + whdaux l (CicSubstitution.subst_vars exp_named_subst body) | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition ) - | C.Abst _ as t -> t (*CSC l should be empty ????? *) - | C.MutInd (uri,_,_) as t -> if l = [] then t else C.Appl (t::l) - | C.MutConstruct (uri,_,_,_) as t -> if l = [] then t else C.Appl (t::l) - | C.MutCase (mutind,cookingsno,i,_,term,pl) as t -> + | C.MutInd _ as t -> if l = [] then t else C.Appl (t::l) + | C.MutConstruct _ as t -> if l = [] then t else C.Appl (t::l) + | C.MutCase (mutind,i,_,term,pl) as t-> let decofix = function C.CoFix (i,fl) as t -> @@ -114,35 +117,28 @@ let whd = | t -> t in (match decofix (whdaux [] term) with - C.MutConstruct (_,_,_,j) -> whdaux l (List.nth pl (j-1)) - | C.Appl (C.MutConstruct (_,_,_,j) :: tl) -> - let (arity, r, num_ingredients) = + C.MutConstruct (_,_,j,_) -> whdaux l (List.nth pl (j-1)) + | C.Appl (C.MutConstruct (_,_,j,_) :: tl) -> + let (arity, r) = match CicEnvironment.get_obj mutind with C.InductiveDefinition (tl,ingredients,r) -> - let (_,_,arity,_) = List.nth tl i - and num_ingredients = - List.fold_right - (fun (k,l) i -> - if k < cookingsno then i + List.length l else i - ) ingredients 0 - in - (arity,r,num_ingredients) + let (_,_,arity,_) = List.nth tl i in + (arity,r) | _ -> raise WrongUriToInductiveDefinition in let ts = - let num_to_eat = r + num_ingredients in - let rec eat_first = - function - (0,l) -> l - | (n,he::tl) when n > 0 -> eat_first (n - 1, tl) - | _ -> raise (Impossible 5) - in - eat_first (num_to_eat,tl) + let rec eat_first = + function + (0,l) -> l + | (n,he::tl) when n > 0 -> eat_first (n - 1, tl) + | _ -> raise (Impossible 5) + in + eat_first (r,tl) in whdaux (ts@l) (List.nth pl (j-1)) - | C.Abst _| C.Cast _ | C.Implicit -> - raise (Impossible 2) (* we don't trust our whd ;-) *) - | _ -> t + | C.Cast _ | C.Implicit -> + raise (Impossible 2) (* we don't trust our whd ;-) *) + | _ -> if l = [] then t else C.Appl (t::l) ) | C.Fix (i,fl) as t -> let (_,recindex,_,body) = List.nth fl i in @@ -171,98 +167,140 @@ let whd = | None -> if l = [] then t else C.Appl (t::l) ) | C.CoFix (i,fl) as t -> - (*CSC vecchio codice - let (_,_,body) = List.nth fl i in - let body' = - let counter = ref (List.length fl) in - List.fold_right - (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl))) - fl - body - in - whdaux l body' - *) if l = [] then t else C.Appl (t::l) in +(*CSC +function t -> +prerr_endline ("PRIMA WHD" ^ CicPp.ppterm t) ; flush stderr ; +List.iter (function (Cic.Decl t) -> prerr_endline ("Context: " ^ CicPp.ppterm t) | (Cic.Def t) -> prerr_endline ("Context:= " ^ CicPp.ppterm t)) context ; flush stderr ; prerr_endline " n1 = n2 - | (C.Var uri1, C.Var uri2) -> U.eq uri1 uri2 - | (C.Meta n1, C.Meta n2) -> n1 = n2 - | (C.Sort s1, C.Sort s2) -> true (*CSC da finire con gli universi *) - | (C.Prod (_,s1,t1), C.Prod(_,s2,t2)) -> - aux s1 s2 && aux t1 t2 - | (C.Lambda (_,s1,t1), C.Lambda(_,s2,t2)) -> - aux s1 s2 && aux t1 t2 - | (C.Appl l1, C.Appl l2) -> - (try - List.fold_right2 (fun x y b -> aux x y && b) l1 l2 true - with - Invalid_argument _ -> false - ) - | (C.Const (uri1,_), C.Const (uri2,_)) -> - (*CSC: questo commento e' chiaro o delirante? Io lo sto scrivendo *) - (*CSC: mentre sono delirante, quindi ... *) - (* WARNING: it is really important that the two cookingsno are not *) - (* checked for equality. This allows not to cook an object with no *) - (* ingredients only to update the cookingsno. E.g: if a term t has *) - (* a reference to a term t1 which does not depend on any variable *) - (* and t1 depends on a term t2 (that can't depend on any variable *) - (* because of t1), then t1 cooked at every level could be the same *) - (* as t1 cooked at level 0. Doing so, t2 will be extended in t *) - (* with cookingsno 0 and not 2. But this will not cause any trouble*) - (* if here we don't check that the two cookingsno are equal. *) - U.eq uri1 uri2 - | (C.MutInd (uri1,k1,i1), C.MutInd (uri2,k2,i2)) -> - (* WARNIG: see the previous warning *) - U.eq uri1 uri2 && i1 = i2 - | (C.MutConstruct (uri1,_,i1,j1), C.MutConstruct (uri2,_,i2,j2)) -> - (* WARNIG: see the previous warning *) - U.eq uri1 uri2 && i1 = i2 && j1 = j2 - | (C.MutCase (uri1,_,i1,outtype1,term1,pl1), - C.MutCase (uri2,_,i2,outtype2,term2,pl2)) -> - (* WARNIG: see the previous warning *) - (* aux outtype1 outtype2 should be true if aux pl1 pl2 *) - U.eq uri1 uri2 && i1 = i2 && aux outtype1 outtype2 && - aux term1 term2 && - List.fold_right2 (fun x y b -> b && aux x y) pl1 pl2 true - | (C.Fix (i1,fl1), C.Fix (i2,fl2)) -> - i1 = i2 && - List.fold_right2 - (fun (_,recindex1,ty1,bo1) (_,recindex2,ty2,bo2) b -> - b && recindex1 = recindex2 && aux ty1 ty2 && aux bo1 bo2) - fl1 fl2 true - | (C.CoFix (i1,fl1), C.CoFix (i2,fl2)) -> - i1 = i2 && - List.fold_right2 - (fun (_,ty1,bo1) (_,ty2,bo2) b -> - b && aux ty1 ty2 && aux bo1 bo2) - fl1 fl2 true - | (C.Abst _, _) | (_, C.Abst _) | (C.Cast _, _) | (_, C.Cast _) - | (C.Implicit, _) | (_, C.Implicit) -> - raise (Impossible 3) (* we don't trust our whd ;-) *) - | (_,_) -> - debug t1' [t2'] "NOT-CONVERTIBLE" ; - false - end + let rec aux context t1 t2 = + let aux2 t1 t2 = + (* this trivial euristic cuts down the total time of about five times ;-) *) + (* this because most of the time t1 and t2 are "sintactically" the same *) + if t1 = t2 then + true + else + begin + let module C = Cic in + match (t1,t2) with + (C.Rel n1, C.Rel n2) -> n1 = n2 + | (C.Var (uri1,exp_named_subst1), C.Var (uri2,exp_named_subst2)) -> + U.eq uri1 uri2 && + (try + List.fold_right2 + (fun (uri1,x) (uri2,y) b -> + U.eq uri1 uri2 && aux context x y && b + ) exp_named_subst1 exp_named_subst2 true + with + Invalid_argument _ -> false + ) + | (C.Meta (n1,l1), C.Meta (n2,l2)) -> + n1 = n2 && + List.fold_left2 + (fun b t1 t2 -> + b && + match t1,t2 with + None,_ + | _,None -> true + | Some t1',Some t2' -> aux context t1' t2' + ) true l1 l2 + | (C.Sort s1, C.Sort s2) -> true (*CSC da finire con gli universi *) + | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) -> + aux context s1 s2 && aux ((Some (name1, (C.Decl s1)))::context) t1 t2 + | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2)) -> + aux context s1 s2 && aux ((Some (name1, (C.Decl s1)))::context) t1 t2 + | (C.LetIn (name1,s1,t1), C.LetIn(_,s2,t2)) -> + aux context s1 s2 && aux ((Some (name1, (C.Def s1)))::context) t1 t2 + | (C.Appl l1, C.Appl l2) -> + (try + List.fold_right2 (fun x y b -> aux context x y && b) l1 l2 true + with + Invalid_argument _ -> false + ) + | (C.Const (uri1,exp_named_subst1), C.Const (uri2,exp_named_subst2)) -> + U.eq uri1 uri2 && + (try + List.fold_right2 + (fun (uri1,x) (uri2,y) b -> + U.eq uri1 uri2 && aux context x y && b + ) exp_named_subst1 exp_named_subst2 true + with + Invalid_argument _ -> false + ) + | (C.MutInd (uri1,i1,exp_named_subst1), + C.MutInd (uri2,i2,exp_named_subst2) + ) -> + U.eq uri1 uri2 && i1 = i2 && + (try + List.fold_right2 + (fun (uri1,x) (uri2,y) b -> + U.eq uri1 uri2 && aux context x y && b + ) exp_named_subst1 exp_named_subst2 true + with + Invalid_argument _ -> false + ) + | (C.MutConstruct (uri1,i1,j1,exp_named_subst1), + C.MutConstruct (uri2,i2,j2,exp_named_subst2) + ) -> + U.eq uri1 uri2 && i1 = i2 && j1 = j2 && + (try + List.fold_right2 + (fun (uri1,x) (uri2,y) b -> + U.eq uri1 uri2 && aux context x y && b + ) exp_named_subst1 exp_named_subst2 true + with + Invalid_argument _ -> false + ) + | (C.MutCase (uri1,i1,outtype1,term1,pl1), + C.MutCase (uri2,i2,outtype2,term2,pl2)) -> + U.eq uri1 uri2 && i1 = i2 && aux context outtype1 outtype2 && + aux context term1 term2 && + List.fold_right2 (fun x y b -> b && aux context x y) pl1 pl2 true + | (C.Fix (i1,fl1), C.Fix (i2,fl2)) -> + let tys = + List.map (function (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1 + in + i1 = i2 && + List.fold_right2 + (fun (_,recindex1,ty1,bo1) (_,recindex2,ty2,bo2) b -> + b && recindex1 = recindex2 && aux context ty1 ty2 && + aux (tys@context) bo1 bo2) + fl1 fl2 true + | (C.CoFix (i1,fl1), C.CoFix (i2,fl2)) -> + let tys = + List.map (function (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1 + in + i1 = i2 && + List.fold_right2 + (fun (_,ty1,bo1) (_,ty2,bo2) b -> + b && aux context ty1 ty2 && aux (tys@context) bo1 bo2) + fl1 fl2 true + | (C.Cast _, _) | (_, C.Cast _) + | (C.Implicit, _) | (_, C.Implicit) -> + raise (Impossible 3) (* we don't trust our whd ;-) *) + | (_,_) -> false + end + in + if aux2 t1 t2 then true + else + begin + debug t1 [t2] "PREWHD"; + let t1' = whd context t1 + and t2' = whd context t2 in + debug t1' [t2'] "POSTWHD"; + aux2 t1' t2' + end in - aux t1 t2 + aux ;;