in snd ++ (aux [])\r
;;\r
\r
+let index_of x =\r
+ let rec aux n =\r
+ function\r
+ [] -> None\r
+ | x'::_ when x == x' -> Some n\r
+ | _::xs -> aux (n+1) xs\r
+ in aux 1\r
+;;\r
+\r
+let sep_of_app =\r
+ let apps = ref [] in\r
+ function\r
+ r when not !r -> " "\r
+ | r ->\r
+ let i =\r
+ match index_of r !apps with\r
+ Some i -> i\r
+ | None ->\r
+ apps := !apps @ [r];\r
+ List.length !apps\r
+ in " " ^ string_of_int i ^ ":"\r
+;;\r
+\r
let string_of_t =\r
let string_of_bvar =\r
let bound_vars = ["x"; "y"; "z"; "w"; "q"] in\r
| A _\r
| L _ as t -> "(" ^ string_of_term_no_pars level t ^ ")"\r
and string_of_term_no_pars_app level = function\r
- | A(b,t1,t2) -> string_of_term_no_pars_app level t1 ^ (if !b then "," else " ") ^ string_of_term_w_pars level t2\r
+ | A(b,t1,t2) -> string_of_term_no_pars_app level t1 ^ sep_of_app b ^ string_of_term_w_pars level t2\r
| _ as t -> string_of_term_w_pars level t\r
and string_of_term_no_pars level = function\r
| L(_,t) -> "λ" ^ string_of_bvar level ^ ". " ^ string_of_term_no_pars (level+1) t\r
| V v' -> if v = v' then n else 0\r
;;\r
\r
-(* b' defaults to false *)\r
+(* b' is true iff we are substituting the argument of a step\r
+ and the application of the redex was true. Therefore we need to\r
+ set the new app to true. *)\r
let rec subst b' level delift sub =\r
function\r
| V v -> if v = level + fst sub then lift level (snd sub) else V (if delift && v > level then v-1 else v)\r
| L(b,t) -> L(b, subst b' (level + 1) delift sub t)\r
- | A(_,t1,(V v as t2)) when !b' && v = level + fst sub ->\r
- mk_app b' (subst b' level delift sub t1) (subst b' level delift sub t2)\r
+ | A(_,t1,(V v as t2)) when b' && v = level + fst sub ->\r
+ mk_app (ref true) (subst b' level delift sub t1) (subst b' level delift sub t2)\r
| A(b,t1,t2) ->\r
mk_app b (subst b' level delift sub t1) (subst b' level delift sub t2)\r
+(* b is\r
+ - a fresh ref true if we want to create a real application from scratch\r
+ - a shared ref true if we substituting in the head of a real application *)\r
and mk_app b' t1 t2 = if t1 = delta && t2 = delta then raise B\r
else match t1 with\r
- | L(b,t1) -> subst (ref (!b' && not b)) 0 true (0, t2) t1\r
+ | L(b,t1) ->\r
+ let last_lam = match t1 with L _ -> false | _ -> true in\r
+ if not b && last_lam then b' := false ;\r
+ subst (!b' && not b && not last_lam) 0 true (0, t2) t1\r
| _ -> A (b', t1, t2)\r
and lift n =\r
let rec aux lev =\r
| A (b,t1, t2) -> A (b,aux lev t1, aux lev t2)\r
in aux 0\r
;;\r
-let subst = subst (ref false) 0 false;;\r
-let mk_app = mk_app (ref true);;\r
+let subst = subst false 0 false;;\r
+let mk_app t1 = mk_app (ref true) t1;;\r
\r
let eta_eq =\r
let rec aux t1 t2 = match t1, t2 with\r
let p = step j k p in\r
let m2 = measure_of_t p.div in\r
(if m2 >= m1 then\r
- (print_string "WARNING! Measure did not decrease (press <Enter>)";\r
+ (print_string ("WARNING! Measure did not decrease : " ^ string_of_int m2 ^ " >= " ^ string_of_int m1 ^ " (press <Enter>)");\r
ignore(read_line())));\r
auto p\r
;;\r
| `Var(v,_) -> V v\r
| `N _ | `Match _ -> assert false in\r
assert (List.length ps = 0);\r
- let convs = List.rev convs in\r
- let conv = if List.length convs = 1 then aux (List.hd convs :> Num.nf) else List.fold_left (fun x y -> mk_app x (aux (y :> Num.nf))) (V (List.length var_names)) convs in\r
+ let convs = (List.rev convs :> Num.nf list) in\r
+ let conv = aux\r
+ (if List.length convs = 1\r
+ then List.hd convs\r
+ else `I((List.length var_names, min_int), Listx.from_list convs)) in\r
let var_names = "@" :: var_names in\r
let div = match div with\r
| Some div -> aux (div :> Num.nf)\r