(* 16/62003 *)
(* *)
(**************************************************************************)
-type id = string;;
-type recursion_kind = NoRecursive | Recursive | CoRecursive;;
-
-type 'term cobj =
- Def of id * id option * string * (* name, *)
- 'term option * 'term * (* body, type, *)
- UriManager.uri list (* parameters *)
- | Theorem of id * id option * string * (* name, *)
- ('term proof) option * 'term * (* body, type, *)
- UriManager.uri list (* parameters *)
- | Variable of id *
- string * 'term option * 'term * (* name, body, type *)
- UriManager.uri list
-(* (* parameters *)
- | CurrentProof of id * id *
- string * annmetasenv * (* name, conjectures, *)
- 'term proof * 'term * UriManager.uri list (* value,type,parameters *)
-*)
- | InductiveDefinition of id *
- 'term cinductiveType list * (* inductive types , *)
- UriManager.uri list * int (* parameters,n ind. pars *)
-and 'term cinductiveType =
- id * string * bool * 'term * (* typename, inductive, arity *)
- 'term cconstructor list (* constructors *)
+type id = string;;
+type joint_recursion_kind =
+ [ `Recursive
+ | `CoRecursive
+ | `Inductive of int (* paramsno *)
+ | `CoInductive of int (* paramsno *)
+ ]
+;;
-and 'term cconstructor =
- string * 'term (* id, type *)
+type var_or_const = Var | Const;;
-and
- 'term proof =
- { proof_name : string option;
- proof_id : string ;
- proof_kind : recursion_kind ;
- proof_context : ('term context_element) list ;
- proof_apply_context: ('term proof) list;
- proof_conclude : 'term conclude_item;
- }
-and
- 'term context_element =
- Declaration of 'term declaration
- | Hypothesis of 'term declaration
- | Proof of 'term proof
- | Definition of 'term definition
- | Joint of 'term joint
-and
- 'term declaration =
+type 'term declaration =
{ dec_name : string option;
dec_id : string ;
dec_inductive : bool;
dec_aref : string;
dec_type : 'term
}
-and
- 'term definition =
+;;
+
+type 'term definition =
{ def_name : string option;
def_id : string ;
def_aref : string ;
def_term : 'term
}
-and
- 'term joint =
+;;
+
+type 'term inductive =
+ { inductive_id : string ;
+ inductive_kind : bool;
+ inductive_type : 'term;
+ inductive_constructors : 'term declaration list
+ }
+;;
+
+type 'term decl_context_element =
+ [ `Declaration of 'term declaration
+ | `Hypothesis of 'term declaration
+ ]
+;;
+
+type ('term,'proof) def_context_element =
+ [ `Proof of 'proof
+ | `Definition of 'term definition
+ ]
+;;
+
+type ('term,'proof) in_joint_context_element =
+ [ `Inductive of 'term inductive
+ | 'term decl_context_element
+ | ('term,'proof) def_context_element
+ ]
+;;
+
+type ('term,'proof) joint =
{ joint_id : string ;
- joint_kind : recursion_kind ;
- joint_defs : 'term context_element list
+ joint_kind : joint_recursion_kind ;
+ joint_defs : ('term,'proof) in_joint_context_element list
}
-and
- 'term conclude_item =
+;;
+
+type ('term,'proof) joint_context_element =
+ [ `Joint of ('term,'proof) joint ]
+;;
+
+type 'term proof =
+ { proof_name : string option;
+ proof_id : string ;
+ proof_context : 'term in_proof_context_element list ;
+ proof_apply_context: 'term proof list;
+ proof_conclude : 'term conclude_item
+ }
+
+and 'term in_proof_context_element =
+ [ 'term decl_context_element
+ | ('term,'term proof) def_context_element
+ | ('term,'term proof) joint_context_element
+ ]
+
+and 'term conclude_item =
{ conclude_id :string;
conclude_aref : string;
conclude_method : string;
conclude_args : ('term arg) list ;
conclude_conclusion : 'term option
}
-and
- 'term arg =
+
+and 'term arg =
Aux of int
| Premise of premise
| Term of 'term
| ArgProof of 'term proof
| ArgMethod of string (* ???? *)
-and
- premise =
+
+and premise =
{ premise_id: string;
premise_xref : string ;
premise_binder : string option;
premise_n : int option;
}
;;
+
+type 'term conjecture = id * int * 'term context * 'term
+
+and 'term context = 'term hypothesis list
+
+and 'term hypothesis =
+ id *
+ ['term decl_context_element | ('term,'term proof) def_context_element ] option
+;;
+
+type 'term in_object_context_element =
+ [ `Decl of var_or_const * 'term decl_context_element
+ | `Def of var_or_const * 'term * ('term,'term proof) def_context_element
+ | ('term,'term proof) joint_context_element
+ ]
+;;
+
+type 'term cobj =
+ id * (* id *)
+ UriManager.uri list * (* params *)
+ 'term conjecture list option * (* optional metasenv *)
+ 'term in_object_context_element (* actual object *)
+;;
+
(* e se mettessi la conversione di BY nell'apply_context ? *)
exception Not_a_proof;;
exception NotImplemented;;
exception NotApplicable;;
-exception ToDo;;
(* we do not care for positivity, here, that in any case is enforced by
well typing. Just a brutal search *)
[] -> assert false
| p::tl ->
let new_arg =
- Premise
- { premise_id = gen_id seed;
+ Premise
+ { premise_id = gen_id seed;
premise_xref = p.proof_id;
premise_binder = p.proof_name;
premise_n = None
let p1 =
{ proof_name = p.proof_name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = [];
proof_conclude = p.proof_conclude;
if inner_proof.proof_conclude.conclude_method = "Intros+LetTac" then
{ proof_name = None ;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [] ;
proof_apply_context = [];
proof_conclude =
else
{ proof_name = None ;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [] ;
proof_apply_context = [inner_proof];
proof_conclude =
let module C2A = Cic2acic in
{ proof_name = name;
proof_id = id ;
- proof_kind = NoRecursive;
proof_context = [] ;
proof_apply_context = [];
proof_conclude =
let module C = Cic in
{ proof_name = name;
proof_id = id ;
- proof_kind = NoRecursive;
proof_context = [] ;
proof_apply_context = [];
proof_conclude =
let build_decl_item seed id n s ~ids_to_inner_sorts =
let sort = Hashtbl.find ids_to_inner_sorts (Cic2acic.source_id_of_id id) in
if sort = "Prop" then
- Hypothesis
+ `Hypothesis
{ dec_name = name_of n;
dec_id = gen_id seed;
dec_inductive = false;
dec_type = s
}
else
- Declaration
+ `Declaration
{ dec_name = name_of n;
dec_id = gen_id seed;
dec_inductive = false;
let rec build_def_item seed id n t ~ids_to_inner_sorts ~ids_to_inner_types =
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)
+ `Proof (acic2content seed ~name:(name_of n) ~ids_to_inner_sorts ~ids_to_inner_types t)
else
- Definition
+ `Definition
{ def_name = name_of n;
def_id = gen_id seed;
def_aref = id;
let proof'' =
{ proof_name = None;
proof_id = proof'.proof_id;
- proof_kind = proof'.proof_kind ;
proof_context =
(build_decl_item seed id n s ids_to_inner_sorts)::
proof'.proof_context;
| _ -> assert false
else proof in
let proof'' =
- { proof_name = name;
- proof_id = proof'.proof_id;
- proof_kind = proof'.proof_kind ;
- proof_context =
- (build_def_item seed id n s ids_to_inner_sorts
- ids_to_inner_types)::proof'.proof_context;
- proof_apply_context = proof'.proof_apply_context;
- proof_conclude = proof'.proof_conclude;
+ { proof' with
+ proof_name = name;
+ proof_context =
+ ((build_def_item seed id n s ids_to_inner_sorts
+ ids_to_inner_types) :> Cic.annterm in_proof_context_element)
+ ::proof'.proof_context;
}
in
generate_intros_let_tac seed id n s false proof'' name ~ids_to_inner_types
~ids_to_inner_types ~ids_to_inner_sorts in
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = serialize seed subproofs;
proof_conclude =
let p = (aux te) in
{ proof_name = Some "name";
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = flat seed p;
proof_conclude =
| None ->
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = [];
proof_conclude =
let proof = (aux bo) in (* must be recursive !! *)
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
- proof_context = [Proof proof];
+ proof_context = [`Proof proof];
proof_apply_context = [];
proof_conclude =
{ conclude_id = gen_id seed;
}
| C.AFix (id, no, funs) ->
let proofs =
- List.map (function (id1,n,_,ty,bo) -> (Proof (aux bo))) funs in
+ List.map (function (id1,n,_,ty,bo) -> (`Proof (aux bo))) funs in
let jo =
{ joint_id = gen_id seed;
- joint_kind = Recursive;
+ joint_kind = `Recursive;
joint_defs = proofs
}
in
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
- proof_context = [Joint jo];
+ proof_context = [`Joint jo];
proof_apply_context = [];
proof_conclude =
{ conclude_id = gen_id seed;
let proof = (aux bo) in (* must be recursive !! *)
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
- proof_context = [Proof proof];
+ proof_context = [`Proof proof];
proof_apply_context = [];
proof_conclude =
{ conclude_id = gen_id seed;
}
| C.ACoFix (id,no,funs) ->
let proofs =
- List.map (function (id1,n,ty,bo) -> (Proof (aux bo))) funs in
+ List.map (function (id1,n,ty,bo) -> (`Proof (aux bo))) funs in
let jo =
{ joint_id = gen_id seed;
- joint_kind = Recursive;
+ joint_kind = `Recursive;
joint_defs = proofs
}
in
{ proof_name = name;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
- proof_context = [Joint jo];
+ proof_context = [`Joint jo];
proof_apply_context = [];
proof_conclude =
{ conclude_id = gen_id seed;
match t1 with
Cic.ALambda(id2,n2,s2,t2) ->
let inductive_hyp =
- Hypothesis
+ `Hypothesis
{ dec_name = name_of n2;
dec_id = gen_id seed;
dec_inductive = true;
} in
let (context,body) = bc (t,t2) in
(ce::inductive_hyp::context,body)
- | _ -> assert false)
+ | _ -> 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
ArgProof
{ proof_name = Some name;
proof_id = bo.proof_id;
- proof_kind = NoRecursive;
proof_context = co;
proof_apply_context = bo.proof_apply_context;
proof_conclude = bo.proof_conclude;
};
- else (Term arg) in
+ else (Term arg) in
hdarg::(build_method_args (tlc,tla))
| _ -> assert false in
build_method_args (constructors1,args_for_cases) in
{ proof_name = None;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = subproofs;
proof_conclude =
| a::tl ->
let hd =
if n = 0 then
- Premise
+ Premise
{ premise_id = gen_id seed;
premise_xref = subproof.proof_id;
premise_binder = None;
premise_n = None
}
- else
- let aid = get_id a in
- let asort = (try (Hashtbl.find ids_to_inner_sorts aid)
+ else
+ let aid = get_id a in
+ let asort = (try (Hashtbl.find ids_to_inner_sorts aid)
with Not_found -> "Type") in
if asort = "Prop" then
- ArgProof (aux a)
- else Term a in
- hd::(ma_aux (n-1) tl) in
+ ArgProof (aux a)
+ else Term a in
+ hd::(ma_aux (n-1) tl) in
(ma_aux 3 args) in
{ proof_name = None;
proof_id = gen_id seed;
- proof_kind = NoRecursive;
proof_context = [];
proof_apply_context = [subproof];
proof_conclude =
}
else raise NotApplicable
| _ -> raise NotApplicable
+;;
+
+let map_conjectures
+ seed ~ids_to_inner_sorts ~ids_to_inner_types (id,n,context,ty)
+=
+ let context' =
+ List.map
+ (function
+ (id,None) as item -> item
+ | (id,Some (name,Cic.ADecl t)) ->
+ id,
+ Some
+ (build_decl_item seed (get_id t) name t
+ ~ids_to_inner_sorts)
+ | (id,Some (name,Cic.ADef t)) ->
+ id,
+ Some
+ (build_def_item seed (get_id t) name t
+ ~ids_to_inner_sorts ~ids_to_inner_types)
+ ) context
+ in
+ (id,n,context',ty)
;;
-let annobj2content ~ids_to_inner_sorts ~ids_to_inner_types =
+let rec annobj2content ~ids_to_inner_sorts ~ids_to_inner_types =
let module C = Cic in
let module C2A = Cic2acic in
let seed = ref 0 in
function
- C.ACurrentProof (id,idbody,n,conjectures,bo,ty,params) ->
- assert false (* TO DO *)
- | C.AConstant (id,idbody,n,bo,ty,params) ->
- (match idbody with
- Some idb ->
- let sort =
- (try Hashtbl.find ids_to_inner_sorts idb
- with notfound -> "Type") in
- if sort = "Prop" then
- let proof =
- (match bo with
- Some body ->
- acic2content seed ~name:None ~ids_to_inner_sorts
- ~ids_to_inner_types body
- | None -> assert false) in
- Theorem(id,idbody,n,Some proof,ty,params)
- else
- Def(id,idbody,n,bo,ty,params)
- | None -> Def(id,idbody,n,bo,ty,params))
- | C.AVariable (id,n,bo,ty,params) ->
- Variable(id,n,bo,ty,params)
- | C.AInductiveDefinition (id,tys,params,nparams) ->
- InductiveDefinition(id,tys,params,nparams)
+ C.ACurrentProof (_,_,n,conjectures,bo,ty,params) ->
+ (gen_id seed, params,
+ Some
+ (List.map
+ (map_conjectures seed ~ids_to_inner_sorts ~ids_to_inner_types)
+ conjectures),
+ `Def (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,
+ `Def (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,
+ `Decl (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,
+ `Def (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,
+ `Decl (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,
+ `Joint
+ { joint_id = gen_id seed;
+ joint_kind = `Inductive nparams;
+ joint_defs = List.map (build_inductive seed) l
+ })
+
+and
+ build_inductive seed =
+ fun (_,n,b,ty,l) ->
+ `Inductive
+ { inductive_id = gen_id seed;
+ inductive_kind = b;
+ inductive_type = ty;
+ inductive_constructors = build_constructors seed l
+ }
+and
+ build_constructors seed l =
+ List.map
+ (fun (n,t) ->
+ { dec_name = Some n;
+ dec_id = gen_id seed;
+ dec_inductive = false;
+ dec_aref = "";
+ dec_type = t
+ }) l
+;;
+
(*
and 'term cinductiveType =
id * string * bool * 'term * (* typename, inductive, arity *)
string * 'term
*)
+
* http://cs.unibo.it/helm/.
*)
-(**************************************************************************)
-(* *)
-(* PROJECT HELM *)
-(* *)
-(* Andrea Asperti <asperti@cs.unibo.it> *)
-(* 16/62003 *)
-(* *)
-(**************************************************************************)
-
-type recursion_kind = NoRecursive | Recursive | CoRecursive;;
-
-type
- 'term proof =
- { proof_name : string option;
- proof_id : string ;
- proof_kind : recursion_kind ;
- proof_context : ('term context_element) list ;
- proof_apply_context: ('term proof) list;
- proof_conclude : 'term conclude_item;
- }
-and
- 'term context_element =
- Declaration of 'term declaration
- | Hypothesis of 'term declaration
- | Proof of 'term proof
- | Definition of 'term definition
- | Joint of 'term joint
-and
- 'term declaration =
+type id = string;;
+type joint_recursion_kind =
+ [ `Recursive
+ | `CoRecursive
+ | `Inductive of int (* paramsno *)
+ | `CoInductive of int (* paramsno *)
+ ]
+;;
+
+type var_or_const = Var | Const;;
+
+type 'term declaration =
{ dec_name : string option;
dec_id : string ;
dec_inductive : bool;
dec_aref : string;
dec_type : 'term
}
-and
- 'term definition =
+;;
+
+type 'term definition =
{ def_name : string option;
def_id : string ;
def_aref : string ;
def_term : 'term
}
-and
- 'term joint =
+;;
+
+type 'term inductive =
+ { inductive_id : string ;
+ inductive_kind : bool;
+ inductive_type : 'term;
+ inductive_constructors : 'term declaration list
+ }
+;;
+
+type 'term decl_context_element =
+ [ `Declaration of 'term declaration
+ | `Hypothesis of 'term declaration
+ ]
+;;
+
+type ('term,'proof) def_context_element =
+ [ `Proof of 'proof
+ | `Definition of 'term definition
+ ]
+;;
+
+type ('term,'proof) in_joint_context_element =
+ [ `Inductive of 'term inductive
+ | 'term decl_context_element
+ | ('term,'proof) def_context_element
+ ]
+;;
+
+type ('term,'proof) joint =
{ joint_id : string ;
- joint_kind : recursion_kind ;
- joint_defs : 'term context_element list
+ joint_kind : joint_recursion_kind ;
+ joint_defs : ('term,'proof) in_joint_context_element list
}
-and
- 'term conclude_item =
+;;
+
+type ('term,'proof) joint_context_element =
+ [ `Joint of ('term,'proof) joint ]
+;;
+
+type 'term proof =
+ { proof_name : string option;
+ proof_id : string ;
+ proof_context : 'term in_proof_context_element list ;
+ proof_apply_context: 'term proof list;
+ proof_conclude : 'term conclude_item
+ }
+
+and 'term in_proof_context_element =
+ [ 'term decl_context_element
+ | ('term,'term proof) def_context_element
+ | ('term,'term proof) joint_context_element
+ ]
+
+and 'term conclude_item =
{ conclude_id :string;
conclude_aref : string;
conclude_method : string;
conclude_args : ('term arg) list ;
conclude_conclusion : 'term option
}
-and
- 'term arg =
+
+and 'term arg =
Aux of int
| Premise of premise
| Term of 'term
| ArgProof of 'term proof
| ArgMethod of string (* ???? *)
-and
- premise =
+
+and premise =
{ premise_id: string;
premise_xref : string ;
premise_binder : string option;
}
;;
-val acic2content :
- int ref -> (* seed *)
- ?name:string option -> (* name *)
- ids_to_inner_sorts:(Cic.id, string) Hashtbl.t ->
- (* ids_to_inner_sorts *)
- ids_to_inner_types:(Cic.id, Cic2acic.anntypes) Hashtbl.t ->
- (* ids_to_inner_types *)
- Cic.annterm -> (* annotated term *)
- Cic.annterm proof
+type 'term conjecture = id * int * 'term context * 'term
+
+and 'term context = 'term hypothesis list
+
+and 'term hypothesis =
+ id *
+ ['term decl_context_element | ('term,'term proof) def_context_element ] option
+;;
+
+type 'term in_object_context_element =
+ [ `Decl of var_or_const * 'term decl_context_element
+ | `Def of var_or_const * 'term * ('term,'term proof) def_context_element
+ | ('term,'term proof) joint_context_element
+ ]
+;;
+
+type 'term cobj =
+ id * (* id *)
+ UriManager.uri list * (* params *)
+ 'term conjecture list option * (* optional metasenv *)
+ 'term in_object_context_element (* actual object *)
+;;
+
+val annobj2content :
+ ids_to_inner_sorts:(string, string) Hashtbl.t ->
+ ids_to_inner_types:(string, Cic2acic.anntypes) Hashtbl.t ->
+ Cic.annobj ->
+ Cic.annterm cobj
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