(* PROJECT HELM *)
(* *)
(* Andrea Asperti <asperti@cs.unibo.it> *)
-(* 16/62003 *)
+(* 16/6/2003 *)
(* *)
(**************************************************************************)
+let object_prefix = "obj:";;
+let declaration_prefix = "decl:";;
+let definition_prefix = "def:";;
+let inductive_prefix = "ind:";;
+let joint_prefix = "joint:";;
+let proof_prefix = "proof:";;
+let conclude_prefix = "concl:";;
+let premise_prefix = "prem:";;
+let lemma_prefix = "lemma:";;
+
(* e se mettessi la conversione di BY nell'apply_context ? *)
(* sarebbe carino avere l'invariante che la proof2pres
generasse sempre prove con contesto vuoto *)
-let gen_id seed =
- let res = "p" ^ string_of_int !seed in
+let gen_id prefix seed =
+ let res = prefix ^ string_of_int !seed in
incr seed ;
res
;;
| C.Var _ -> false
| C.Meta _ -> false
| C.Sort _ -> false
- | C.Implicit -> raise NotImplemented
+ | C.Implicit _ -> assert false
| C.Prod (_,s,t) -> (occur uri s) or (occur uri t)
| C.Cast (te,ty) -> (occur uri te)
| C.Lambda (_,s,t) -> (occur uri s) or (occur uri t) (* or false ?? *)
with Not_found -> false)
;;
-(*
-let build_args seed l subproofs ~ids_to_inner_types ~ids_to_inner_sorts =
- let module C = Cic in
- let module K = Content in
- let rec aux l subproofs =
- match l with
- [] -> []
- | t::l1 ->
- if (test_for_lifting t ~ids_to_inner_types) then
- (match subproofs with
- [] -> assert false
- | p::tl ->
- let new_arg =
- K.Premise
- { K.premise_id = gen_id seed;
- K.premise_xref = p.K.proof_id;
- K.premise_binder = p.K.proof_name;
- K.premise_n = None
- }
- in new_arg::(aux l1 tl))
- else
- let hd =
- (match t with
- C.ARel (idr,idref,n,b) ->
- let sort =
- (try Hashtbl.find ids_to_inner_sorts idr
- with Not_found -> "Type") in
- if sort ="Prop" then
- K.Premise
- { K.premise_id = gen_id seed;
- K.premise_xref = idr;
- K.premise_binder = Some b;
- K.premise_n = Some n
- }
- else (K.Term t)
- | _ -> (K.Term t)) in
- hd::(aux l1 subproofs)
- in aux l subproofs
-;;
-*)
-
(* transform a proof p into a proof list, concatenating the last
conclude element to the apply_context list, in case context is
empty. Otherwise, it just returns [p] *)
None -> inner_proof
| Some expty ->
if inner_proof.K.proof_conclude.K.conclude_method = "Intros+LetTac" then
- { K.proof_name = None ;
- K.proof_id = gen_id seed;
+ { K.proof_name = inner_proof.K.proof_name;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [] ;
K.proof_apply_context = [];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "TD_Conversion";
- K.conclude_args = [K.ArgProof inner_proof];
+ K.conclude_args =
+ [K.ArgProof {inner_proof with K.proof_name = None}];
K.conclude_conclusion = Some expty
};
}
else
- { K.proof_name = None ;
- K.proof_id = gen_id seed;
+ { K.proof_name = inner_proof.K.proof_name;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [] ;
- K.proof_apply_context = [inner_proof];
+ K.proof_apply_context = [{inner_proof with K.proof_name = None}];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "BU_Conversion";
K.conclude_args =
[K.Premise
- { K.premise_id = gen_id seed;
+ { K.premise_id = gen_id premise_prefix seed;
K.premise_xref = inner_proof.K.proof_id;
K.premise_binder = None;
K.premise_n = None
let module C2A = Cic2acic in
let module K = Content in
{ K.proof_name = name;
- K.proof_id = id ;
+ K.proof_id = gen_id proof_prefix seed ;
K.proof_context = [] ;
K.proof_apply_context = [];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Exact";
K.conclude_args = [K.Term t];
let module C = Cic in
let module K = Content in
{ K.proof_name = name;
- K.proof_id = id ;
+ K.proof_id = gen_id proof_prefix seed ;
K.proof_context = [] ;
K.proof_apply_context = [];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Intros+LetTac";
K.conclude_args = [K.ArgProof inner_proof];
let build_decl_item seed id n s ~ids_to_inner_sorts =
let module K = Content in
- try
- let sort = Hashtbl.find ids_to_inner_sorts (Cic2acic.source_id_of_id id) in
- if sort = "Prop" then
- `Hypothesis
- { K.dec_name = name_of n;
- K.dec_id = gen_id seed;
- K.dec_inductive = false;
- K.dec_aref = id;
- K.dec_type = s
- }
- else
- `Declaration
- { K.dec_name = name_of n;
- K.dec_id = gen_id seed;
- K.dec_inductive = false;
- K.dec_aref = id;
- K.dec_type = s
- }
- with
- Not_found -> assert false
+ let sort =
+ try
+ Some (Hashtbl.find ids_to_inner_sorts (Cic2acic.source_id_of_id id))
+ with Not_found -> None
+ in
+ match sort with
+ | Some "Prop" ->
+ `Hypothesis
+ { K.dec_name = name_of n;
+ K.dec_id = gen_id declaration_prefix seed;
+ K.dec_inductive = false;
+ K.dec_aref = id;
+ K.dec_type = s
+ }
+ | _ ->
+ `Declaration
+ { K.dec_name = name_of n;
+ K.dec_id = gen_id declaration_prefix seed;
+ K.dec_inductive = false;
+ K.dec_aref = id;
+ K.dec_type = s
+ }
;;
let rec build_subproofs_and_args seed l ~ids_to_inner_types ~ids_to_inner_sorts =
seed ~name:"H" ~ids_to_inner_types ~ids_to_inner_sorts t in
let new_arg =
K.Premise
- { K.premise_id = gen_id seed;
+ { K.premise_id = gen_id premise_prefix seed;
K.premise_xref = new_subproof.K.proof_id;
K.premise_binder = new_subproof.K.proof_name;
K.premise_n = None
with Not_found -> "Type") in
if sort ="Prop" then
K.Premise
- { K.premise_id = gen_id seed;
+ { K.premise_id = gen_id premise_prefix seed;
K.premise_xref = idr;
K.premise_binder = Some b;
K.premise_n = Some n
with Not_found -> "Type") in
if sort ="Prop" then
K.Lemma
- { K.lemma_id = gen_id seed;
+ { K.lemma_id = gen_id lemma_prefix seed;
K.lemma_name = UriManager.name_of_uri uri;
K.lemma_uri = UriManager.string_of_uri uri
}
with Not_found -> "Type") in
if sort ="Prop" then
let inductive_types =
- (match CicEnvironment.get_obj uri with
- Cic.Constant _ -> assert false
- | Cic.Variable _ -> assert false
- | Cic.CurrentProof _ -> assert false
- | Cic.InductiveDefinition (l,_,_) -> l
+ (let o,_ =
+ CicEnvironment.get_obj CicUniv.empty_ugraph uri
+ in
+ match o with
+ | Cic.InductiveDefinition (l,_,_,_) -> l
+ | _ -> assert false
) in
let (_,_,_,constructors) =
List.nth inductive_types tyno in
let name,_ = List.nth constructors (consno - 1) in
K.Lemma
- { K.lemma_id = gen_id seed;
+ { K.lemma_id = gen_id lemma_prefix seed;
K.lemma_name = name;
K.lemma_uri =
UriManager.string_of_uri uri ^ "#xpointer(1/" ^
try
let sort = Hashtbl.find ids_to_inner_sorts id in
if sort = "Prop" then
- `Proof (acic2content seed ?name:(name_of n) ~ids_to_inner_sorts ~ids_to_inner_types t)
+ (let p =
+ (acic2content seed ?name:(name_of n) ~ids_to_inner_sorts ~ids_to_inner_types t)
+ in
+ `Proof p;)
else
`Definition
{ K.def_name = name_of n;
- K.def_id = gen_id seed;
+ K.def_id = gen_id definition_prefix seed;
K.def_aref = id;
K.def_term = t
}
else raise Not_a_proof
| C.ALetIn (id,n,s,t) ->
let sort = Hashtbl.find ids_to_inner_sorts id in
- if sort = "Prop" then
+ if sort = "Prop" then
let proof = aux t in
let proof' =
if proof.K.proof_conclude.K.conclude_method = "Intros+LetTac" then
let args = build_args seed li subproofs
~ids_to_inner_types ~ids_to_inner_sorts in *)
{ K.proof_name = name;
- K.proof_id = gen_id seed;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [];
K.proof_apply_context = serialize seed subproofs;
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Apply";
K.conclude_args = args;
generate_exact seed t id name ~ids_to_inner_types
else raise Not_a_proof
| C.AMutCase (id,uri,typeno,ty,te,patterns) ->
- let inductive_types =
- (match CicEnvironment.get_obj uri with
- Cic.Constant _ -> assert false
- | Cic.Variable _ -> assert false
- | Cic.CurrentProof _ -> assert false
- | Cic.InductiveDefinition (l,_,_) -> l
- ) in
- let (_,_,_,constructors) = List.nth inductive_types typeno in
+ let inductive_types,noparams =
+ (let o, _ = CicEnvironment.get_obj CicUniv.empty_ugraph uri in
+ match o with
+ Cic.Constant _ -> assert false
+ | Cic.Variable _ -> assert false
+ | Cic.CurrentProof _ -> assert false
+ | Cic.InductiveDefinition (l,_,n,_) -> l,n
+ ) in
+ let (_,_,_,constructors) = List.nth inductive_types typeno in
+ let name_and_arities =
+ let rec count_prods =
+ function
+ C.Prod (_,_,t) -> 1 + count_prods t
+ | _ -> 0 in
+ List.map
+ (function (n,t) -> Some n,((count_prods t) - noparams)) constructors in
+ let pp =
+ let build_proof p (name,arity) =
+ let rec make_context_and_body c p n =
+ if n = 0 then c,(aux p)
+ else
+ (match p with
+ Cic.ALambda(idl,vname,s1,t1) ->
+ let ce =
+ build_decl_item seed idl vname s1 ~ids_to_inner_sorts in
+ make_context_and_body (ce::c) t1 (n-1)
+ | _ -> assert false) in
+ let context,body = make_context_and_body [] p arity in
+ K.ArgProof
+ {body with K.proof_name = name; K.proof_context=context} in
+ List.map2 build_proof patterns name_and_arities in
let teid = get_id te in
- let pp = List.map2
- (fun p (name,_) -> (K.ArgProof (aux ~name p)))
- patterns constructors in
let context,term =
(match
build_subproofs_and_args
l,[t] -> l,t
| _ -> assert false) in
{ K.proof_name = name;
- K.proof_id = gen_id seed;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [];
K.proof_apply_context = serialize seed context;
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Case";
K.conclude_args =
let decreasing_args =
List.map (function (_,_,n,_,_) -> n) funs in
let jo =
- { K.joint_id = gen_id seed;
+ { K.joint_id = gen_id joint_prefix seed;
K.joint_kind = `Recursive decreasing_args;
K.joint_defs = proofs
}
in
{ K.proof_name = name;
- K.proof_id = gen_id seed;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [`Joint jo];
K.proof_apply_context = [];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Exact";
K.conclude_args =
[ K.Premise
- { K.premise_id = gen_id seed;
+ { K.premise_id = gen_id premise_prefix seed;
K.premise_xref = jo.K.joint_id;
K.premise_binder = Some "tiralo fuori";
K.premise_n = Some no;
List.map
(function (_,name,_,bo) -> `Proof (aux ~name bo)) funs in
let jo =
- { K.joint_id = gen_id seed;
+ { K.joint_id = gen_id joint_prefix seed;
K.joint_kind = `CoRecursive;
K.joint_defs = proofs
}
in
{ K.proof_name = name;
- K.proof_id = gen_id seed;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [`Joint jo];
K.proof_apply_context = [];
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Exact";
K.conclude_args =
[ K.Premise
- { K.premise_id = gen_id seed;
+ { K.premise_id = gen_id premise_prefix seed;
K.premise_xref = jo.K.joint_id;
K.premise_binder = Some "tiralo fuori";
K.premise_n = Some no;
with Not_found -> -1) in
if n<0 then raise NotApplicable
else
+ let method_name =
+ if UriManager.eq uri HelmLibraryObjects.Logic.ex_ind_URI then "Exists"
+ else if UriManager.eq uri HelmLibraryObjects.Logic.and_ind_URI then "AndInd"
+ else if UriManager.eq uri HelmLibraryObjects.Logic.false_ind_URI then "FalseInd"
+ else "ByInduction" in
let prefix = String.sub uri_str 0 n in
let ind_str = (prefix ^ ".ind") in
let ind_uri = UriManager.uri_of_string ind_str in
let inductive_types,noparams =
- (match CicEnvironment.get_obj ind_uri with
- Cic.Constant _ -> assert false
- | Cic.Variable _ -> assert false
- | Cic.CurrentProof _ -> assert false
- | Cic.InductiveDefinition (l,_,n) -> (l,n)
- ) in
+ (let o,_ = CicEnvironment.get_obj CicUniv.empty_ugraph ind_uri in
+ match o with
+ | Cic.InductiveDefinition (l,_,n,_) -> (l,n)
+ | _ -> assert false
+ ) in
let rec split n l =
if n = 0 then ([],l) else
let p,a = split (n-1) (List.tl l) in
((List.hd l::p),a) in
- let params_and_IP,tail_args = split (noparams+1) args in
+ let params_and_IP,tail_args = split (noparams+1) args in
let constructors =
(match inductive_types with
[(_,_,_,l)] -> l
let subproofs,other_method_args =
build_subproofs_and_args seed other_args
~ids_to_inner_types ~ids_to_inner_sorts in
- prerr_endline "****** end other *******"; flush stderr;
let method_args=
let rec build_method_args =
function
build_decl_item
seed idl n s1 ~ids_to_inner_sorts in
if (occur ind_uri s) then
- ( prerr_endline ("inductive:" ^ (UriManager.string_of_uri ind_uri) ^ (CicPp.ppterm s)); flush stderr;
- match t1 with
+ ( match t1 with
Cic.ALambda(id2,n2,s2,t2) ->
let inductive_hyp =
`Hypothesis
{ K.dec_name = name_of n2;
- K.dec_id = gen_id seed;
+ K.dec_id =
+ gen_id declaration_prefix seed;
K.dec_inductive = true;
K.dec_aref = id2;
K.dec_type = s2
(ce::inductive_hyp::context,body)
| _ -> assert false)
else
- ( prerr_endline ("no inductive:" ^ (UriManager.string_of_uri ind_uri) ^ (CicPp.ppterm s)); flush stderr;
+ (
let (context,body) = bc (t,t1) in
(ce::context,body))
| _ , t -> ([],aux t) in
hdarg::(build_method_args (tlc,tla))
| _ -> assert false in
build_method_args (constructors1,args_for_cases) in
- { K.proof_name = None;
- K.proof_id = gen_id seed;
+ { K.proof_name = name;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [];
K.proof_apply_context = serialize seed subproofs;
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
- K.conclude_method = "ByInduction";
+ K.conclude_method = method_name;
K.conclude_args =
K.Aux (string_of_int no_constructors)
- ::K.Term (C.AAppl id ((C.AConst(idc,uri,exp_named_subst))::params_and_IP))
+ ::K.Term (C.AAppl(id,((C.AConst(idc,uri,exp_named_subst))::params_and_IP)))
::method_args@other_method_args;
K.conclude_conclusion =
try Some
let module C = Cic in
match li with
C.AConst (sid,uri,exp_named_subst)::args ->
- let uri_str = UriManager.string_of_uri uri in
- if uri_str = "cic:/Coq/Init/Logic/eq_ind.con" or
- uri_str = "cic:/Coq/Init/Logic/eq_ind_r.con" then
+ if UriManager.eq uri HelmLibraryObjects.Logic.eq_ind_URI or
+ UriManager.eq uri HelmLibraryObjects.Logic.eq_ind_r_URI then
let subproofs,arg =
(match
build_subproofs_and_args
else K.Term a in
hd::(ma_aux (n-1) tl) in
(ma_aux 3 args) in
- { K.proof_name = None;
- K.proof_id = gen_id seed;
+ { K.proof_name = name;
+ K.proof_id = gen_id proof_prefix seed;
K.proof_context = [];
K.proof_apply_context = serialize seed subproofs;
K.proof_conclude =
- { K.conclude_id = gen_id seed;
+ { K.conclude_id = gen_id conclude_prefix seed;
K.conclude_aref = id;
K.conclude_method = "Rewrite";
K.conclude_args =
let context' =
List.map
(function
- (id,None) as item -> item
+ (id,None) -> None
| (id,Some (name,Cic.ADecl t)) ->
- id,
- Some
- (* We should call build_decl_item, but we have not computed *)
- (* the inner-types ==> we always produce a declaration *)
- (`Declaration
- { K.dec_name = name_of name;
- K.dec_id = gen_id seed;
- K.dec_inductive = false;
- K.dec_aref = get_id t;
- K.dec_type = t
+ Some
+ (* We should call build_decl_item, but we have not computed *)
+ (* the inner-types ==> we always produce a declaration *)
+ (`Declaration
+ { K.dec_name = name_of name;
+ K.dec_id = gen_id declaration_prefix seed;
+ K.dec_inductive = false;
+ K.dec_aref = get_id t;
+ K.dec_type = t
+ })
+ | (id,Some (name,Cic.ADef t)) ->
+ Some
+ (* We should call build_def_item, but we have not computed *)
+ (* the inner-types ==> we always produce a declaration *)
+ (`Definition
+ { K.def_name = name_of name;
+ K.def_id = gen_id definition_prefix seed;
+ K.def_aref = get_id t;
+ K.def_term = t
})
+ ) context
+ in
+ (id,n,context',ty)
+;;
+
+(* map_sequent is similar to map_conjectures, but the for the hid
+of the hypothesis, which are preserved instead of generating
+fresh ones. We shall have to adopt a uniform policy, soon or later *)
+
+let map_sequent ((id,n,context,ty):Cic.annconjecture) =
+ let module K = Content in
+ let context' =
+ List.map
+ (function
+ (id,None) -> None
+ | (id,Some (name,Cic.ADecl t)) ->
+ Some
+ (* We should call build_decl_item, but we have not computed *)
+ (* the inner-types ==> we always produce a declaration *)
+ (`Declaration
+ { K.dec_name = name_of name;
+ K.dec_id = id;
+ K.dec_inductive = false;
+ K.dec_aref = get_id t;
+ K.dec_type = t
+ })
| (id,Some (name,Cic.ADef t)) ->
- id,
- Some
- (* We should call build_def_item, but we have not computed *)
- (* the inner-types ==> we always produce a declaration *)
- (`Definition
- { K.def_name = name_of name;
- K.def_id = gen_id seed;
- K.def_aref = get_id t;
- K.def_term = t
- })
+ Some
+ (* We should call build_def_item, but we have not computed *)
+ (* the inner-types ==> we always produce a declaration *)
+ (`Definition
+ { K.def_name = name_of name;
+ K.def_id = id;
+ K.def_aref = get_id t;
+ K.def_term = t
+ })
) context
in
(id,n,context',ty)
let module C2A = Cic2acic in
let seed = ref 0 in
function
- C.ACurrentProof (_,_,n,conjectures,bo,ty,params) ->
- (gen_id seed, params,
+ C.ACurrentProof (_,_,n,conjectures,bo,ty,params,_) ->
+ (gen_id object_prefix seed, params,
Some
(List.map
(map_conjectures seed ~ids_to_inner_sorts ~ids_to_inner_types)
`Def (K.Const,ty,
build_def_item seed (get_id bo) (C.Name n) bo
~ids_to_inner_sorts ~ids_to_inner_types))
- | C.AConstant (_,_,n,Some bo,ty,params) ->
- (gen_id seed, params, None,
+ | C.AConstant (_,_,n,Some bo,ty,params,_) ->
+ (gen_id object_prefix seed, params, None,
`Def (K.Const,ty,
build_def_item seed (get_id bo) (C.Name n) bo
~ids_to_inner_sorts ~ids_to_inner_types))
- | C.AConstant (id,_,n,None,ty,params) ->
- (gen_id seed, params, None,
+ | C.AConstant (id,_,n,None,ty,params,_) ->
+ (gen_id object_prefix seed, params, None,
`Decl (K.Const,
build_decl_item seed id (C.Name n) ty
~ids_to_inner_sorts))
- | C.AVariable (_,n,Some bo,ty,params) ->
- (gen_id seed, params, None,
+ | C.AVariable (_,n,Some bo,ty,params,_) ->
+ (gen_id object_prefix seed, params, None,
`Def (K.Var,ty,
build_def_item seed (get_id bo) (C.Name n) bo
~ids_to_inner_sorts ~ids_to_inner_types))
- | C.AVariable (id,n,None,ty,params) ->
- (gen_id seed, params, None,
+ | C.AVariable (id,n,None,ty,params,_) ->
+ (gen_id object_prefix seed, params, None,
`Decl (K.Var,
build_decl_item seed id (C.Name n) ty
~ids_to_inner_sorts))
- | C.AInductiveDefinition (id,l,params,nparams) ->
- (gen_id seed, params, None,
+ | C.AInductiveDefinition (id,l,params,nparams,_) ->
+ (gen_id object_prefix seed, params, None,
`Joint
- { K.joint_id = gen_id seed;
+ { K.joint_id = gen_id joint_prefix seed;
K.joint_kind = `Inductive nparams;
K.joint_defs = List.map (build_inductive seed) l
})
let module K = Content in
fun (_,n,b,ty,l) ->
`Inductive
- { K.inductive_id = gen_id seed;
+ { K.inductive_id = gen_id inductive_prefix seed;
+ K.inductive_name = n;
K.inductive_kind = b;
K.inductive_type = ty;
K.inductive_constructors = build_constructors seed l
List.map
(fun (n,t) ->
{ K.dec_name = Some n;
- K.dec_id = gen_id seed;
+ K.dec_id = gen_id declaration_prefix seed;
K.dec_inductive = false;
K.dec_aref = "";
K.dec_type = t