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open Format
open Fol
let rec print_list sep print fmt = function
| [] -> ()
| [x] -> print fmt x
| x :: r -> print fmt x; sep fmt (); print_list sep print fmt r
let space fmt () = fprintf fmt "@ "
let comma fmt () = fprintf fmt ",@ "
let rec print_term fmt = function
| Cst n ->
fprintf fmt "%d" n
| Plus (a, b) ->
fprintf fmt "@[(%a@ +@ %a)@]" print_term a print_term b
| Moins (a, b) ->
fprintf fmt "@[(%a@ -@ %a)@]" print_term a print_term b
| Mult (a, b) ->
fprintf fmt "@[(%a@ *@ %a)@]" print_term a print_term b
| Div (a, b) ->
fprintf fmt "@[(%a@ /@ %a)@]" print_term a print_term b
| App (id, []) ->
fprintf fmt "@[%s@]" id
| App (id, tl) ->
fprintf fmt "@[%s(%a)@]" id print_terms tl
and print_terms fmt tl =
print_list comma print_term fmt tl
let rec print_predicate fmt p =
let pp = print_predicate in
match p with
| True ->
fprintf fmt "TRUE"
| False ->
fprintf fmt "FALSE"
| Fatom (Eq (a, b)) ->
fprintf fmt "@[(%a = %a)@]" print_term a print_term b
| Fatom (Le (a, b)) ->
fprintf fmt "@[(%a@ <= %a)@]" print_term a print_term b
| Fatom (Lt (a, b))->
fprintf fmt "@[(%a@ < %a)@]" print_term a print_term b
| Fatom (Ge (a, b)) ->
fprintf fmt "@[(%a@ >= %a)@]" print_term a print_term b
| Fatom (Gt (a, b)) ->
fprintf fmt "@[(%a@ > %a)@]" print_term a print_term b
| Fatom (Pred (id, [])) ->
fprintf fmt "@[%s@]" id
| Fatom (Pred (id, tl)) ->
fprintf fmt "@[%s(%a)@]" id print_terms tl
| Imp (a, b) ->
fprintf fmt "@[(%a@ => %a)@]" pp a pp b
| And (a, b) ->
fprintf fmt "@[(%a@ AND@ %a)@]" pp a pp b
| Or (a, b) ->
fprintf fmt "@[(%a@ OR@ %a)@]" pp a pp b
| Not a ->
fprintf fmt "@[(NOT@ %a)@]" pp a
| Forall (id, t, p) ->
fprintf fmt "@[(FORALL (%s:%s): %a)@]" id t pp p
| Exists (id, t, p) ->
fprintf fmt "@[(EXISTS (%s:%s): %a)@]" id t pp p
let rec string_of_type_list = function
| [] -> assert false
| [e] -> e
| e :: l' -> e ^ ", " ^ (string_of_type_list l')
let print_query fmt (decls,concl) =
let print_decl = function
| DeclVar (id, [], t) ->
fprintf fmt "@[%s: %s;@]@\n" id t
| DeclVar (id, [e], t) ->
fprintf fmt "@[%s: [%s -> %s];@]@\n"
id e t
| DeclVar (id, l, t) ->
fprintf fmt "@[%s: [[%s] -> %s];@]@\n"
id (string_of_type_list l) t
| DeclPred (id, []) ->
fprintf fmt "@[%s: BOOLEAN;@]@\n" id
| DeclPred (id, [e]) ->
fprintf fmt "@[%s: [%s -> BOOLEAN];@]@\n"
id e
| DeclPred (id, l) ->
fprintf fmt "@[%s: [[%s] -> BOOLEAN];@]@\n"
id (string_of_type_list l)
| DeclType id ->
fprintf fmt "@[%s: TYPE;@]@\n" id
| Assert (id, f) ->
fprintf fmt "@[ASSERT %% %s@\n %a;@]@\n" id print_predicate f
in
List.iter print_decl decls;
fprintf fmt "QUERY %a;" print_predicate concl
let call q =
let f = Filename.temp_file "coq_dp" ".cvc" in
let c = open_out f in
let fmt = formatter_of_out_channel c in
fprintf fmt "@[%a@]@." print_query q;
close_out c;
ignore (Sys.command (sprintf "cat %s" f));
let cmd =
sprintf "timeout 10 cvcl < %s > out 2>&1 && grep -q -w Valid out" f
in
prerr_endline cmd; flush stderr;
let out = Sys.command cmd in
if out = 0 then Valid else if out = 1 then Invalid else Timeout
(* TODO: effacer le fichier f et le fichier out *)
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