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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 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 space 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, 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@ %a)@]" pp a pp b
| Or (a, b) ->
fprintf fmt "@[(\\/@ %a@ %a)@]" pp a pp b
| Not a ->
fprintf fmt "@[(-.@ %a)@]" pp a
| Forall (id, t, p) ->
fprintf fmt "@[(A. ((%s \"%s\")@ %a))@]" id t pp p
| Exists (id, t, p) ->
fprintf fmt "@[(E. ((%s \"%s\")@ %a))@]" id t pp p
let rec string_of_type_list = function
| [] -> ""
| 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, l, t) ->
fprintf fmt "@[;; %s: %s%s@]@\n"
id (string_of_type_list l) t
| DeclPred (id, l) ->
fprintf fmt "@[;; %s: %sBOOLEAN@]@\n"
id (string_of_type_list l)
| DeclType id ->
fprintf fmt "@[;; %s: TYPE@]@\n" id
| Assert (id, f) ->
fprintf fmt "@[\"%s\" %a@]@\n" id print_predicate f
in
List.iter print_decl decls;
fprintf fmt "$goal %a@." print_predicate concl
let call q =
let f = Filename.temp_file "coq_dp" ".znn" 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 zenon %s > out 2>&1 && grep -q PROOF-FOUND 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 if out = 137 then Timeout
else Util.anomaly "malformed Zenon input file"
(* TODO: effacer le fichier f et le fichier out *)
|
