open Pure
open Num
+(* exceptions *)
+exception Pacman
+exception Bottom
+exception Backtrack of string
+
(*
The number of arguments which can applied to numbers
safely, depending on the encoding of numbers.
; sigma: (int * nf) list (* the computed substitution *)
; deltas: discriminating_set ref list (* collection of all branches *)
; initialSpecialK: int
+ ; label : string
+ ; var_names : string list (* names of the original free variables *)
; trail: discriminating_set list list
};;
-(* exceptions *)
-exception Pacman
-exception Bottom
-exception Backtrack of string
-exception Fail of string
+let label_of_problem {label} = label;;
+
+let string_of_var l x =
+ try
+ List.nth l x
+ with Failure "nth" -> "`" ^ string_of_int x
+;;
+let string_of_term p t = print ~l:p.var_names (t :> nf);;
let first bound p var f =
let p = {p with trail = (List.map (!) p.deltas)::p.trail} in
let rec aux i =
if i > bound then
- raise (Backtrack ("no more alternatives for " ^ string_of_var var))
+ raise (Backtrack ("no more alternatives for " ^ string_of_var p.var_names var))
else
try
f p i
with Backtrack s ->
prerr_endline (">>>>>> BACKTRACK (reason: " ^ s ^") measure=$ ");
List.iter (fun (r,l) -> r := l) (List.combine p.deltas (List.hd p.trail)) ;
-prerr_endline("Now trying var="^string_of_var var^" i="^string_of_int i);
+prerr_endline("Now trying var="^string_of_var p.var_names var^" i="^string_of_int i);
aux (i+1)
in
aux 1
let string_of_measure = string_of_int;;
let string_of_problem label ({freshno; div; conv; ps; deltas} as p) =
- Console.print_hline ();
- prerr_string ("\n(* DISPLAY PROBLEM (" ^ label ^ ") - ");
- let nl = "\n" in
- let deltas = String.concat (nl^" ") (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in
- let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- "measure="^string_of_measure(problem_measure p) (* ^ " freshno = " ^ string_of_int freshno*)
- ^ nl ^ " Discriminating sets (deltas):"
- ^ nl ^ " " ^ deltas ^ (if deltas = " " then "" else nl) ^ "*)"
- ^"(* DIVERGENT *)" ^ nl
- ^" "^ (match div with None -> "None" | Some div -> "(Some\""^ print ~l (div :> nf) ^"\")") ^ nl
- ^" (* CONVERGENT *) [" ^ nl ^ " "
- ^ String.concat "\n " (List.map (fun t -> "(* _ *) " ^ (if t = convergent_dummy then "" else "\""^ print ~l (t :> nf) ^"\";")) conv) ^
- (if conv = [] then "" else nl)
- ^ "] (* NUMERIC *) [" ^ nl ^ " "
- ^ String.concat "\n " (List.mapi (fun i t -> " (* "^ string_of_int i ^" *) \"" ^ print ~l (t :> nf) ^ "\";") ps)
- ^ nl ^ "] [\"*\"];;" ^ nl
+ let deltas = String.concat ("\n# ") (List.map (fun r -> String.concat " <> " (List.map (fun (i,_) -> string_of_int i) !r)) deltas) in
+ let l = p.var_names in
+ String.concat "\n" ([
+ "";
+ "# DISPLAY PROBLEM (" ^ label ^ ") " ^ "measure=" ^ string_of_measure (problem_measure p);
+ if List.length p.deltas > 1 then (
+ "# Discriminating sets (deltas):\n" ^
+ "# " ^ deltas
+ ) else "# ";
+ "#";
+ "$" ^ p.label;
+ (match div with None -> "# no D" | Some div -> "D " ^ print ~l (div :> nf));
+ ]
+ @ List.map (fun t -> if t = convergent_dummy then "#C" else "C " ^ print ~l (t :> nf)) conv
+ @ List.mapi (fun i t -> string_of_int i ^ " " ^ print ~l (t :> nf)) ps
+ @ [""])
;;
let simple_expand_match ps =
let rec aux_nob level = function
- | #i_num_var as t -> aux_i_num_var level t
+ | #i_num_var as t -> (aux_i_num_var level t :> nf)
| `Lam(b,t) -> `Lam(b,aux (level+1) t)
| `Pacman as t -> t
and aux level = function
| #nf_nob as t -> aux_nob level t
and aux_i_num_var level = function
| `Match(u,v,bs_lift,bs,args) as torig ->
- let u = aux_i_num_var level u in
+ let (u : i_num_var) = aux_i_num_var level u in
bs := List.map (fun (n, x) -> n, aux 0 x) !bs;
(try
(match u with
| #i_n_var as u ->
- let i = index_of (lift (-level) u) (ps :> nf list) (* can raise Not_found *)
- in let t = mk_match (`N i) v bs_lift bs (args :> nf list) in
+ let i = index_of ~eq:eta_eq (lift (-level) u) (ps :> nf list) in (* can raise Not_found *)
+ let t = cast_to_i_num_var (mk_match (`N i) v bs_lift bs (args :> nf list)) in
if t <> torig then
- aux level (t :> nf)
- else raise Not_found
+ aux_i_num_var level t
+ else raise Not_found
| _ -> raise Not_found)
with Not_found ->
- mk_appl (`Match(cast_to_i_num_var u,v,bs_lift,bs,[])) (List.map (aux_nob level) args))
- | `I(v,args) -> mk_appl (`Var v) (List.map (aux_nob level) (Listx.to_list args))
+ cast_to_i_num_var (mk_appl (`Match(u,v,bs_lift,bs,[])) (List.map (aux_nob level) args)))
+ | `I(v,args) -> cast_to_i_num_var (mk_appl (`Var v) (List.map (aux_nob level) (Listx.to_list args)))
| `N _ | `Var _ as t -> t
in aux_i_num_var 0
;;
let div = option_map (fun div ->
let divs = super_simplify_ps p.ps ([div] :> i_n_var list) in
List.hd divs) div in
- {p with div=option_map cast_to_i_var div; ps=List.map cast_to_i_n_var ps; conv=List.map cast_to_i_n_var conv}
+ {p with div=option_map cast_to_i_var div; ps; conv}
let cast_to_ps_with_match =
function
let ps = List.map cast_to_i_n_var (old_ps @ new_ps) in
let conv = List.map cast_to_i_n_var conv in
-(let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
-prerr_endline ("# INST: " ^ string_of_var x ^ " := " ^ print ~l inst));
let p = {p with freshno; div; conv; ps} in
+ prerr_endline ("# INST: " ^ string_of_var p.var_names x ^ " := " ^ string_of_term p inst);
( (* check if double substituting a variable *)
if List.exists (fun (x',_) -> x = x') sigma
- then failwithProblem p ("Variable "^ string_of_var x ^"replaced twice")
+ then failwithProblem p ("Variable "^ string_of_var p.var_names x ^"replaced twice")
);
let p = {p with sigma = sigma@[x,inst]} in
let p = super_simplify p in
let arity_of arities k =
let _,pos,y = List.find (fun (v,_,_) -> v=k) arities in
- let arity = match y with `Var _ -> 0 | `I(_,args) -> Listx.length args | _ -> assert false in
+ let arity = match y with `Var _ -> 0 | `I(_,args) -> Listx.length args | `N _ -> assert false in
arity + if pos = -1 then - 1 else 0
;;
Not_found -> ()
(* cut & paste from above *)
-let rec dangerous_conv arities showstoppers =
+let rec dangerous_conv p arities showstoppers =
function
`N _
| `Var _
| `Match(t,_,liftno,bs,args) ->
(* CSC: XXX partial dependency on the encoding *)
(match t with
- `N _ -> concat_map (dangerous_conv arities showstoppers) args
- | `Match _ as t -> dangerous_conv arities showstoppers t @ concat_map (dangerous_conv arities showstoppers) args
- | `Var(x,_) -> dangerous_inert_conv arities showstoppers x [] args 2
- | `I((x,_),args') -> dangerous_inert_conv arities showstoppers x (Listx.to_list args') args 2
+ `N _ -> concat_map (dangerous_conv p arities showstoppers) args
+ | `Match _ as t -> dangerous_conv p arities showstoppers t @ concat_map (dangerous_conv p arities showstoppers) args
+ | `Var(x,_) -> dangerous_inert_conv p arities showstoppers x [] args 2
+ | `I((x,_),args') -> dangerous_inert_conv p arities showstoppers x (Listx.to_list args') args 2
)
- | `I((k,_),args) -> dangerous_inert_conv arities showstoppers k (Listx.to_list args) [] 0
+ | `I((k,_),args) -> dangerous_inert_conv p arities showstoppers k (Listx.to_list args) [] 0
-and dangerous_inert_conv arities showstoppers k args match_args more_args =
+and dangerous_inert_conv p arities showstoppers k args match_args more_args =
let all_args = args @ match_args in
- let dangerous_args = concat_map (dangerous_conv arities showstoppers) all_args in
+ let dangerous_args = concat_map (dangerous_conv p arities showstoppers) all_args in
let all_args = (all_args :> nf list) in
if dangerous_args = [] then (
if List.mem k showstoppers then k :: concat_map free_vars all_args else
try
let arity = arity_of arities k in
-prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args);
+prerr_endline ("dangerous_inert_conv: ar=" ^ string_of_int arity ^ " k="^string_of_var p.var_names k ^ " listlenargs=" ^ (string_of_int (List.length args)) ^ " more_args=" ^ string_of_int more_args);
if more_args > 0 (* match argument*) && List.length args = arity then []
else if List.length all_args + more_args > arity then k :: concat_map free_vars all_args else []
with
) else k :: concat_map free_vars all_args
(* inefficient algorithm *)
-let rec edible arities div ps conv showstoppers =
+let rec edible ({div; conv; ps} as p) arities showstoppers =
let rec aux showstoppers =
function
[] -> showstoppers
in
let showstoppers = sort_uniq (aux showstoppers ps) in
let dangerous_conv =
- List.map (dangerous_conv arities showstoppers) conv in
+ List.map (dangerous_conv p arities showstoppers) (conv :> nf_nob list) in
prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
-List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv;
+List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv;
let showstoppers' = showstoppers @ List.concat dangerous_conv in
let showstoppers' = sort_uniq (match div with
| Some div ->
if List.exists ((=) (hd_of_i_var div)) showstoppers'
then showstoppers' @ free_vars (div :> nf) else showstoppers') in
- if showstoppers <> showstoppers' then edible arities div ps conv showstoppers' else showstoppers', dangerous_conv
+ if showstoppers <> showstoppers' then edible p arities showstoppers' else showstoppers', dangerous_conv
;;
let precompute_edible_data {ps; div} xs =
let showstoppers_eat = List.filter
(fun x -> not (List.mem x showstoppers_step))
showstoppers_eat in
- List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ string_of_var v)) showstoppers_step;
- List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ string_of_var v)) showstoppers_eat;
+ List.iter (fun v -> prerr_endline ("DANGEROUS STEP: " ^ (string_of_var p.var_names) v)) showstoppers_step;
+ List.iter (fun v -> prerr_endline ("DANGEROUS EAT: " ^ (string_of_var p.var_names) v)) showstoppers_eat;
p, showstoppers_step, showstoppers_eat
;;
let heads = List.sort compare (filter_map hd_of ps) in
let arities = precompute_edible_data p (uniq heads) in
let showstoppers, showstoppers_conv =
- edible arities p.div ps (p.conv :> nf_nob list) showstoppers in
+ edible p arities showstoppers in
let l = List.filter (fun (x,_,_) -> not (List.mem x showstoppers)) arities in
let p =
List.fold_left (fun p (x,pos,(xx : i_n_var)) -> if pos = -1 then p else
let n = match xx with `I(_,args) -> Listx.length args | _ -> 0 in
let v = `N(pos) in
let inst = make_lams v n in
-(let l = Array.to_list (Array.init (p.freshno + 1) string_of_var) in
-prerr_endline ("# INST_IN_EAT: " ^ string_of_var x ^ " := " ^ print ~l inst));
+prerr_endline ("# INST_IN_EAT: " ^ string_of_var p.var_names x ^ " := " ^ string_of_term p inst);
{ p with sigma = p.sigma @ [x,inst] }
) p l in
(* to avoid applied numbers in safe positions that
subst_in_problem x inst p in
let dangerous_conv = showstoppers_conv in
let _ = prerr_endline ("dangerous_conv lenght:" ^ string_of_int (List.length dangerous_conv));
-List.iter (fun l -> prerr_endline (String.concat " " (List.map string_of_var l))) dangerous_conv; in
+List.iter (fun l -> prerr_endline (String.concat " " (List.map (string_of_var p.var_names) l))) dangerous_conv; in
let conv =
List.map (function s,t ->
try
with Not_found -> match hd_of t with
| None -> assert (t = convergent_dummy); t
| Some h ->
- prerr_endline ("FREEZING " ^ string_of_var h);
+ prerr_endline ("FREEZING " ^ string_of_var p.var_names h);
convergent_dummy
) (List.combine showstoppers_conv p.conv) in
List.iter
let x =
match showstoppers_step, showstoppers_eat with
| [], y::_ ->
- prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var y); y
+ prerr_endline ("INSTANTIATING CRITICAL TO EAT " ^ string_of_var p.var_names y); y
| [], [] ->
let heads =
(* Choose only variables still alive (with arity > 0) *)
with
Not_found -> assert false)
| x::_ ->
- prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING TO EAT " ^ string_of_var p.var_names x);
x)
| x::_, _ ->
- prerr_endline ("INSTANTIATING " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING " ^ string_of_var p.var_names x);
x in
(* Strategy that decreases the special_k to 0 first (round robin)
1:11m42 2:14m5 3:11m16s 4:14m46s 5:12m7s 6:6m31s *)
with
| None -> assert false
| Some x ->
- prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var x);
+ prerr_endline ("INSTANTIATING AND HOPING " ^ string_of_var p.var_names x);
x
with
Not_found ->
let arity_of_x = max_arity_tms x (all_terms p) in
- assert (Util.option_get arity_of_x > 0);
+ assert (Util.option_get arity_of_x > 0);
x in
(* Instantiate in decreasing order of compute_special_k
1:15m14s 2:13m14s 3:4m55s 4:4m43s 5:4m34s 6:6m28s 7:3m31s
Not_found -> ([],Pure.V n,[]))::e
in aux 0
;;
-
-let solve p =
- if List.for_all (function `N _ -> true | _ -> false) p.ps && p.div = None
- then (prerr_endline "Initial problem is already completed, nothing to do")
- else (
- Console.print_hline();
- prerr_endline (string_of_problem "main" p);
- let p_finale =
- try
- auto p p.initialSpecialK
- with Backtrack _ -> raise (Fail "Unsolvable problem, apparently") in
- let freshno,sigma = p_finale.freshno, p_finale.sigma in
- prerr_endline ("------- <DONE> ------ measure=. \n ");
- (* prerr_endline (string_of_problem "Original problem" p); *)
- (* prerr_endline "---------------------"; *)
- let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- (* prerr_endline "---------------------"; *)
- List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
-(*
- prerr_endline "----------------------";
- let ps =
- List.fold_left (fun ps (x,inst) ->
- (* CSC: XXXX Is the subst always sorted correctly? Otherwise, implement a recursive subst *)
- (* In this non-recursive version, the intermediate states may containt Matchs *)
- List.map (fun t -> let t = subst false x inst (t :> nf) in cast_to_i_num_var t) ps)
- (p.ps :> i_num_var list) sigma in
- prerr_endline (string_of_problem {p with ps= List.map (function t -> cast_to_i_n_var t) ps; freshno});
- List.iteri (fun i (n,more_args) -> assert (more_args = 0 && n = `N i)) ps ;
-*)
- prerr_endline "---------<OPT>----------";
- let sigma = optimize_numerals p_finale in (* optimize numerals *)
- let l = Array.to_list (Array.init (freshno + 1) string_of_var) in
- List.iter (fun (x,inst) -> prerr_endline (string_of_var x ^ " := " ^ print ~l inst)) sigma;
-
- prerr_endline "---------<PURE>---------";
- let scott_of_nf t = ToScott.scott_of_nf (t :> nf) in
- let div = option_map scott_of_nf p.div in
- let conv = List.map scott_of_nf p.conv in
- let ps = List.map scott_of_nf p.ps in
-
- let sigma' = List.map (fun (x,inst) -> x, ToScott.scott_of_nf inst) sigma in
- let e' = env_of_sigma freshno sigma' in
-
-(*
- prerr_endline "---------<PPP>---------";
-let rec print_e e =
-"[" ^ String.concat ";" (List.map (fun (e,t,[]) -> print_e e ^ ":" ^ Pure.print t) e) ^ "]"
-in
- prerr_endline (print_e e);
- List.iter (fun (t,t_ok) ->
- prerr_endline ("T0= " ^ Pure.print t ^ "\nTM= " ^ Pure.print (Pure.unwind (e,t,[])) ^ "\nOM= " ^ Pure.print t_ok);
- (*assert (Pure.unwind (e,t,[]) = t_ok)*)
- ) (List.combine ps ps_ok);
-*)
- prerr_endline "--------<REDUCE>---------";
- (function Some div ->
- print_endline (Pure.print div);
- let t = Pure.mwhd (e',div,[]) in
- prerr_endline ("*:: " ^ (Pure.print t));
- assert (t = Pure.B)
- | None -> ()) div;
- List.iter (fun n ->
- verbose ("_::: " ^ (Pure.print n));
- let t = Pure.mwhd (e',n,[]) in
- verbose ("_:: " ^ (Pure.print t));
- assert (t <> Pure.B)
- ) conv ;
- List.iteri (fun i n ->
- verbose ((string_of_int i) ^ "::: " ^ (Pure.print n));
- let t = Pure.mwhd (e',n,[]) in
- verbose ((string_of_int i) ^ ":: " ^ (Pure.print t));
- assert (t = Scott.mk_n i)
- ) ps ;
- prerr_endline "-------- </DONE> --------"
- )
+(* ************************************************************************** *)
+
+type response = [
+ | `CompleteSeparable of string
+ | `CompleteUnseparable of string
+ | `Uncomplete
+]
+
+type result = [
+ `Complete | `Uncomplete
+] * [
+ | `Separable of (int * Num.nf) list
+ | `Unseparable of string
+]
+
+let run p =
+ Console.print_hline();
+ prerr_endline (string_of_problem "main" p);
+ let p_finale = auto p p.initialSpecialK in
+ let freshno,sigma = p_finale.freshno, p_finale.sigma in
+ prerr_endline ("------- <DONE> ------ measure=. \n ");
+ List.iter (fun (x,inst) -> prerr_endline (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma;
+
+ prerr_endline "---------<OPT>----------";
+ let sigma = optimize_numerals p_finale in (* optimize numerals *)
+ List.iter (fun (x,inst) -> prerr_endline (string_of_var p_finale.var_names x ^ " := " ^ string_of_term p_finale inst)) sigma;
+
+ prerr_endline "---------<PURE>---------";
+ let scott_of_nf t = ToScott.scott_of_nf (t :> nf) in
+ let div = option_map scott_of_nf p.div in
+ let conv = List.map scott_of_nf p.conv in
+ let ps = List.map scott_of_nf p.ps in
+
+ let sigma' = List.map (fun (x,inst) -> x, ToScott.scott_of_nf inst) sigma in
+ let e' = env_of_sigma freshno sigma' in
+
+ prerr_endline "--------<REDUCE>---------";
+ (function Some div ->
+ print_endline (Pure.print div);
+ let t = Pure.mwhd (e',div,[]) in
+ prerr_endline ("*:: " ^ (Pure.print t));
+ assert (t = Pure.B)
+ | None -> ()) div;
+ List.iter (fun n ->
+ verbose ("_::: " ^ (Pure.print n));
+ let t = Pure.mwhd (e',n,[]) in
+ verbose ("_:: " ^ (Pure.print t));
+ assert (t <> Pure.B)
+ ) conv ;
+ List.iteri (fun i n ->
+ verbose ((string_of_int i) ^ "::: " ^ (Pure.print n));
+ let t = Pure.mwhd (e',n,[]) in
+ verbose ((string_of_int i) ^ ":: " ^ (Pure.print t));
+ assert (t = Scott.mk_n i)
+ ) ps ;
+ prerr_endline "-------- </DONE> --------";
+ p_finale.sigma
;;
-(********************** problems *******************)
-
-let zero = `Var(0,0);;
-
-let append_zero =
- function
- | `I _
- | `Var _ as i -> cast_to_i_n_var (mk_app i zero)
- | _ -> assert false
+let solve (p, todo) =
+ let completeness, to_run =
+ match todo with
+ | `CompleteUnseparable s -> `Complete, `False s
+ | `CompleteSeparable _ -> `Complete, `True
+ | `Uncomplete -> `Uncomplete, `True in
+ completeness, match to_run with
+ | `False s -> `Unseparable s
+ | `True ->
+ try
+ `Separable (run p)
+ with
+ Backtrack _ -> `Unseparable "backtrack"
;;
-let problem_of ~div ~conv ~nums =
- let all_tms = (match div with None -> [] | Some div -> [div]) @ nums @ conv in
- let all_tms, var_names = parse' all_tms in
- let div, (tms, conv) = match div with
- | None -> None, list_cut (List.length nums, all_tms)
- | Some _ -> Some (List.hd all_tms), list_cut (List.length nums, List.tl all_tms) in
-
- if match div with None -> false | Some div -> List.exists (eta_subterm div) (tms@conv)
- then (
- prerr_endline "--- TEST SKIPPED ---";
- {freshno=0; div=None; conv=[]; ps=[]; sigma=[]; deltas=[]; initialSpecialK=0; trail=[]}
- ) else
- let tms = sort_uniq ~compare:eta_compare tms in
- let special_k = compute_special_k (Listx.from_list all_tms) in (* compute initial special K *)
- (* casts *)
- let div =
- match div with
- | None | Some `Bottom -> None
- | Some (`I _ as t) -> Some t
- | _ -> raise (Fail "div is not an inert or BOT in the initial problem") in
- let conv = Util.filter_map (
- function
- | #i_n_var as t -> Some t
- | `Lam _ -> None
- | _ -> raise (Fail "A term in conv is not i_n_var")
- ) conv in
- let tms = List.map (
- function
- | #i_n_var as y -> y
- | _ -> raise (Fail "A term in num is not i_n_var")
- ) tms in
-
- let ps = List.map append_zero tms in (* crea lista applicando zeri o dummies *)
- let freshno = List.length var_names in
- let deltas =
- let dummy = `Var (max_int / 2, -666) in
- [ ref (Array.to_list (Array.init (List.length ps) (fun i -> i, dummy))) ] in
- let trail = [] in
- {freshno; div; conv; ps; sigma=[] ; deltas; initialSpecialK=special_k; trail}
+let check p =
+ (* TODO check if there are duplicates in p.ps
+ before it was: ps = sort_uniq ~compare:eta_compare (ps :> nf list) *)
+ (* FIXME what about initial fragments? *)
+ if (let rec f = function
+ | [] -> false
+ | hd::tl -> List.exists (eta_eq hd) tl || f tl in
+ f p.ps)
+ then `CompleteUnseparable "ps contains duplicates"
+ (* check if div occurs somewhere in ps@conv *)
+ else if (match p.div with
+ | None -> true
+ | Some div -> not (List.exists (eta_subterm div) (p.ps@p.conv))
+ ) && false (* TODO no bombs && pacmans *)
+ then `CompleteSeparable "no bombs, pacmans and div"
+ else if false (* TODO bombs or div fuori da lambda in ps@conv *)
+ then `CompleteUnseparable "bombs or div fuori da lambda in ps@conv"
+ else if p.div = None
+ then `CompleteSeparable "no div"
+ else `Uncomplete
;;
-let should_fail f =
- try
- solve (f ());
- failwith "The problem should have failed"
- with Fail _ ->
- prerr_endline "The problem failed, as expected"
+let problem_of (label, div, conv, ps, var_names) =
+ (* TODO: replace div with bottom in problem??? *)
+ let all_tms = (match div with None -> [] | Some div -> [(div :> i_n_var)]) @ ps @ conv in
+ if all_tms = [] then failwith "problem_of: empty problem";
+ let initialSpecialK = compute_special_k (Listx.from_list (all_tms :> nf list)) in
+ let freshno = List.length var_names in
+ let deltas =
+ let dummy = `Var (max_int / 2, -666) in
+ [ ref (Array.to_list (Array.init (List.length ps) (fun i -> i, dummy))) ] in
+ let trail = [] in
+ let sigma = [] in
+ let p = {freshno; div; conv; ps; sigma; deltas; initialSpecialK; trail; var_names; label} in
+ p, check p
;;