PT.Ident ((try List.assoc s kw with Not_found -> s),None)
;;
-
let rec collect_arities_from_term = function
| A.Constant name -> [name,0]
| A.Variable name -> []
| A.Function (name,l) ->
- (name,List.length l) :: List.flatten (List.map collect_arities_from_term l)
+ (name,List.length l)::List.flatten (List.map collect_arities_from_term l)
;;
let rec collect_fv_from_term = function
mk_arrow component (n-1))
;;
-let build_ctx_for_arities arities t =
+let build_ctx_for_arities univesally arities t =
+ let binder = if univesally then `Forall else `Exists in
let rec aux = function
| [] -> t
| (name,nargs)::tl ->
PT.Binder
- (`Forall,
+ (binder,
(mk_ident name,Some (mk_arrow "A" nargs)),
aux tl)
in
aux arities
;;
-let convert_atom a =
+let convert_atom universally a =
let aux = function
| A.Proposition _ -> assert false
| A.Predicate (name,params) ->
assert false
| A.True -> mk_ident "True"
| A.False -> mk_ident "False"
- | A.Eq (l,r)
+ | A.Eq (l,r)
| A.NotEq (l,r) -> (* removes the negation *)
PT.Appl [mk_ident "eq";mk_ident "A";convert_term l;convert_term r]
in
- build_ctx_for_arities (List.map (fun x -> (x,0)) (collect_fv_from_atom a)) (aux a)
+ build_ctx_for_arities universally
+ (List.map (fun x -> (x,0)) (collect_fv_from_atom a)) (aux a)
;;
let collect_arities atom ctx =
(List.flatten (List.map collect_arities_from_atom atoms)))
;;
-let rec convert_formula no_arities context f =
+let assert_formulae_is_1eq_negated f =
+ let atom = atom_of_formula f in
+ match atom with
+ | A.Eq (l,r) -> failwith "Negated formula is not negated"
+ | A.NotEq (l,r) -> ()
+ | _ -> failwith "Not a unit equality formula"
+;;
+
+let rec convert_formula fv no_arities context f =
let atom = atom_of_formula f in
- let t = convert_atom atom in
+ let t = convert_atom (fv = []) atom in
let rec build_ctx n = function
| [] -> t
| hp::tl ->
PT.Binder
(`Forall,
(mk_ident ("H" ^ string_of_int n),
- Some (convert_formula true [] hp)),
+ Some (convert_formula [] true [] hp)),
build_ctx (n+1) tl)
in
let arities = if no_arities then [] else collect_arities atom context in
- build_ctx_for_arities arities (build_ctx 0 context)
+ build_ctx_for_arities true arities (build_ctx 0 context)
+;;
+
+let check_if_atom_is_negative = function
+ | A.True | A.False | A.Proposition _ | A.Predicate _ -> assert false
+ | A.Eq _ -> false
+ | A.NotEq _ -> true
+;;
+
+let check_if_formula_is_negative = function
+ | A.Disjunction _ -> assert false
+ | A.NegAtom a -> not (check_if_atom_is_negative a)
+ | A.Atom a -> check_if_atom_is_negative a
;;
let convert_ast statements context = function
| A.Axiom
| A.Hypothesis ->
statements, f::context
+ | A.Negated_conjecture when not (check_if_formula_is_negative f) ->
+ statements, f::context
| A.Negated_conjecture ->
- if collect_fv_from_formulae f <> [] then
- prerr_endline "CONTIENE FV";
+ assert_formulae_is_1eq_negated f;
+ let fv = collect_fv_from_formulae f in
+ if fv <> [] then
+ prerr_endline ("FREE VARIABLES: " ^ String.concat "," fv);
let f =
PT.Binder
(`Forall,
(mk_ident "A",Some (PT.Sort `Set)),
- convert_formula false context f)
+ convert_formula fv false context f)
in
let o = PT.Theorem (`Theorem,name,f,None) in
statements @ [
GA.Executable(floc,GA.Command(floc,GA.Obj(floc,o)));
GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
- GA.Intros (floc,None,[])),Some (GA.Dot(floc))));
- GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
+ GA.Intros (floc,None,[])),Some (GA.Dot(floc))))] @
+ (if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
+ GA.Exists floc),Some (GA.Branch floc)));
+ GA.Executable(floc,GA.Tactical(floc, GA.Pos (floc,2),None))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
GA.Auto (floc,None,None,Some "paramodulation",None)),
- Some (GA.Dot(floc))));
+ Some (GA.Dot(floc))))]@
+ (if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.Tactical(floc, GA.Shift floc, None));
+ GA.Executable(floc,GA.Tactical(floc, GA.Skip floc,Some
+ (GA.Merge floc)))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.Tactical(floc, GA.Try(floc,
+ GA.Tactic (floc, GA.Assumption floc)), Some (GA.Dot(floc))));
GA.Executable(floc,GA.Command(floc, GA.Qed(floc)))],
context
| A.Definition