let buff = Buffer.create 100 in
let f = Format.formatter_of_buffer buff in
let module F = Format in
- let rec aux ctx = function
+ let rec aux ?(toplevel=false) ctx = function
| C.Rel m ->
(try F.fprintf f "%s" (List.nth ctx (m-1))
with Failure _ -> F.fprintf f " -%d" (m - List.length context))
| C.Const r -> F.fprintf f "%s" (r2s inside_fix r)
| C.Prod ("_",s,t) ->
+ if not toplevel then F.fprintf f "(";
F.fprintf f "@[<hov 1>";
- aux ctx s;
+ aux ~toplevel:true ctx s;
F.fprintf f "@;→ ";
- aux ("_"::ctx) t;
+ aux ~toplevel ("_"::ctx) t;
F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
| C.Prod (name,s,t) ->
+ if not toplevel then F.fprintf f "(";
F.fprintf f "@[<hov 1>";
F.fprintf f "@[<hov 2>∀%s:@;" name;
- aux ctx s;
+ aux ~toplevel:true ctx s;
F.fprintf f "@].@;";
- aux (name::ctx) t;
+ aux ~toplevel (name::ctx) t;
F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
| C.Lambda (name,s,t) ->
+ if not toplevel then F.fprintf f "(";
F.fprintf f "@[<hov 1>";
F.fprintf f "λ%s:" name;
- aux ctx s;
+ aux ~toplevel:true ctx s;
F.fprintf f ".@;";
- aux (name::ctx) t;
+ aux ~toplevel (name::ctx) t;
F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
| C.LetIn (name,ty,t,b) ->
- F.fprintf f "let %s:" name;
- aux ctx ty;
- F.fprintf f "≝@;";
- aux ctx t;
- F.fprintf f "in@;";
- (aux (name::ctx) b)
+ if not toplevel then F.fprintf f "(";
+ F.fprintf f "@[<hov 1>";
+ F.fprintf f "let %s:@;" name;
+ aux ~toplevel:true ctx ty;
+ F.fprintf f "@;≝ ";
+ aux ~toplevel:true ctx t;
+ F.fprintf f "@;in@;";
+ (aux ~toplevel (name::ctx) b);
+ F.fprintf f "@]";
+ if not toplevel then F.fprintf f ")";
| C.Match (r,oty,t,pl) ->
F.fprintf f "@[<hov>match ";
- aux ctx t;
+ aux ~toplevel:true ctx t;
F.fprintf f "@;return ";
- aux ctx oty;
+ aux ~toplevel:true ctx oty;
F.fprintf f "@; @[<v>[ ";
if pl <> [] then
begin
F.fprintf f "@[<hov 2>%s ⇒@;" (r2s inside_fix (R.mk_constructor 1 r));
- aux ctx (List.hd pl);
+ aux ~toplevel:true ctx (List.hd pl);
F.fprintf f "@]";
ignore(List.fold_left
(fun i t ->
F.fprintf f "@;| @[<hov 2>%s ⇒@;" (r2s inside_fix (R.mk_constructor i r));
- aux ctx t;
+ aux ~toplevel:true ctx t;
F.fprintf f "@]";
i+1)
2 (List.tl pl));
end;
F.fprintf f "]@] @]";
| C.Appl l ->
- F.fprintf f "@[<hv 2>(";
+ F.fprintf f "@[<hov 2>";
+ if not toplevel then F.fprintf f "(";
aux ctx (List.hd l);
List.iter (fun x -> F.fprintf f "@;";aux ctx x) (List.tl l);
- F.fprintf f ")@]"
+ if not toplevel then F.fprintf f ")";
+ F.fprintf f "@]"
| C.Implicit _ -> F.fprintf f "?"
| C.Meta (n,_) -> F.fprintf f "?%d" n
| C.Sort C.Prop -> F.fprintf f "Prop"
| C.Sort C.CProp -> F.fprintf f "CProp"
| C.Sort (C.Type n) -> F.fprintf f "Type%d" n
in
- aux (List.map fst context) t;
+ aux ~toplevel:true (List.map fst context) t;
F.fprintf f "@?";
Buffer.contents buff
;;