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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(*i camlp4use: "pa_extend.cmo" i*)
(* $Id: g_minicoq.ml4 10007 2007-07-16 09:18:44Z corbinea $ *)
open Pp
open Util
open Names
open Univ
open Term
open Environ
let lexer =
{Token.func = Lexer.func; Token.using = Lexer.add_token;
Token.removing = (fun _ -> ()); Token.tparse = Lexer.tparse;
Token.text = Lexer.token_text}
;;
type command =
| Definition of identifier * constr option * constr
| Parameter of identifier * constr
| Variable of identifier * constr
| Inductive of
(identifier * constr) list *
(identifier * constr * (identifier * constr) list) list
| Check of constr
let gram = Grammar.create lexer
let term = Grammar.Entry.create gram "term"
let name = Grammar.Entry.create gram "name"
let nametype = Grammar.Entry.create gram "nametype"
let inductive = Grammar.Entry.create gram "inductive"
let constructor = Grammar.Entry.create gram "constructor"
let command = Grammar.Entry.create gram "command"
let path_of_string s = make_path [] (id_of_string s)
EXTEND
name:
[ [ id = IDENT -> Name (id_of_string id)
| "_" -> Anonymous
] ];
nametype:
[ [ id = IDENT; ":"; t = term -> (id_of_string id, t)
] ];
term:
[ [ id = IDENT ->
mkVar (id_of_string id)
| IDENT "Rel"; n = INT ->
mkRel (int_of_string n)
| "Set" ->
mkSet
| "Prop" ->
mkProp
| "Type" ->
mkType (new_univ())
| "Const"; id = IDENT ->
mkConst (path_of_string id, [||])
| "Ind"; id = IDENT; n = INT ->
let n = int_of_string n in
mkMutInd ((path_of_string id, n), [||])
| "Construct"; id = IDENT; n = INT; i = INT ->
let n = int_of_string n and i = int_of_string i in
mkMutConstruct (((path_of_string id, n), i), [||])
| "["; na = name; ":"; t = term; "]"; c = term ->
mkLambda (na,t,c)
| "("; na = name; ":"; t = term; ")"; c = term ->
mkProd (na,t,c)
| c1 = term; "->"; c2 = term ->
mkArrow c1 c2
| "("; id = IDENT; cl = LIST1 term; ")" ->
let c = mkVar (id_of_string id) in
mkApp (c, Array.of_list cl)
| "("; cl = LIST1 term; ")" ->
begin match cl with
| [c] -> c
| c::cl -> mkApp (c, Array.of_list cl)
end
| "("; c = term; "::"; t = term; ")" ->
mkCast (c, t)
| "<"; p = term; ">";
IDENT "Case"; c = term; ":"; "Ind"; id = IDENT; i = INT;
"of"; bl = LIST0 term; "end" ->
let ind = (path_of_string id,int_of_string i) in
let nc = List.length bl in
let dummy_pats = Array.create nc RegularPat in
let dummy_ci = [||],(ind,[||],nc,None,dummy_pats) in
mkMutCase (dummy_ci, p, c, Array.of_list bl)
] ];
command:
[ [ "Definition"; id = IDENT; ":="; c = term; "." ->
Definition (id_of_string id, None, c)
| "Definition"; id = IDENT; ":"; t = term; ":="; c = term; "." ->
Definition (id_of_string id, Some t, c)
| "Parameter"; id = IDENT; ":"; t = term; "." ->
Parameter (id_of_string id, t)
| "Variable"; id = IDENT; ":"; t = term; "." ->
Variable (id_of_string id, t)
| "Inductive"; "["; params = LIST0 nametype SEP ";"; "]";
inds = LIST1 inductive SEP "with" ->
Inductive (params, inds)
| IDENT "Check"; c = term; "." ->
Check c
| EOI -> raise End_of_file
] ];
inductive:
[ [ id = IDENT; ":"; ar = term; ":="; constrs = LIST0 constructor SEP "|" ->
(id_of_string id,ar,constrs)
] ];
constructor:
[ [ id = IDENT; ":"; c = term -> (id_of_string id,c) ] ];
END
(* Pretty-print. *)
let print_univers = ref false
let print_casts = ref false
let print_type u =
if !print_univers then (str "Type" ++ pr_uni u)
else (str "Type")
let print_name = function
| Anonymous -> (str "_")
| Name id -> pr_id id
let print_rel bv n = print_name (List.nth bv (pred n))
let rename bv = function
| Anonymous -> Anonymous
| Name id as na ->
let idl =
List.fold_left
(fun l n -> match n with Name x -> x::l | _ -> l) [] bv
in
if List.mem na bv then Name (next_ident_away id idl) else na
let rec pp bv t =
match kind_of_term t with
| Sort (Prop Pos) -> (str "Set")
| Sort (Prop Null) -> (str "Prop")
| Sort (Type u) -> print_type u
| Lambda (na, t, c) ->
(str"[" ++ print_name na ++ str":" ++ pp bv t ++ str"]" ++ pp (na::bv) c)
| Prod (Anonymous, t, c) ->
(pp bv t ++ str"->" ++ pp (Anonymous::bv) c)
| Prod (na, t, c) ->
(str"(" ++ print_name na ++ str":" ++ pp bv t ++ str")" ++ pp (na::bv) c)
| Cast (c, t) ->
if !print_casts then
(str"(" ++ pp bv c ++ str"::" ++ pp bv t ++ str")")
else
pp bv c
| App(h, v) ->
(str"(" ++ pp bv h ++ spc () ++
prvect_with_sep (fun () -> (spc ())) (pp bv) v ++ str")")
| Const (sp, _) ->
(str"Const " ++ pr_id (basename sp))
| Ind ((sp,i), _) ->
(str"Ind " ++ pr_id (basename sp) ++ str" " ++ int i)
| Construct (((sp,i),j), _) ->
(str"Construct " ++ pr_id (basename sp) ++ str" " ++ int i ++
str" " ++ int j)
| Var id -> pr_id id
| Rel n -> print_rel bv n
| _ -> (str"<???>")
let pr_term _ ctx = pp (fold_rel_context (fun _ (n,_,_) l -> n::l) ctx [])
|
