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Task/Amb/OCaml/amb-1.ocaml

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+let set_1 = ["the"; "that"; "a"]
+let set_2 = ["frog"; "elephant"; "thing"]
+let set_3 = ["walked"; "treaded"; "grows"]
+let set_4 = ["slowly"; "quickly"]
+
+let combs ll =
+  let rec aux acc = function
+  | [] -> (List.map List.rev acc)
+  | hd::tl ->
+      let acc =
+        List.fold_left
+          (fun _ac l ->
+            List.fold_left (fun _ac v -> (v::l)::_ac) _ac hd
+          ) [] acc
+      in
+      aux acc tl
+  in
+  aux [[]] ll
+
+let last s = s.[pred(String.length s)]
+let joined a b = (last a = b.[0])
+
+let rec test = function
+  | a::b::tl -> (joined a b) && (test (b::tl))
+  | _ -> true
+
+let print_set set =
+  List.iter (Printf.printf " %s") set;
+  print_newline();
+;;
+
+let () =
+  let sets = combs [set_1; set_2; set_3; set_4] in
+  let sets = List.filter test sets in
+  List.iter print_set sets;
+;;

Task/Amb/OCaml/amb-2.ocaml

@@ -0,0 +1,51 @@
+let set_1 = [| "the"; "that"; "a" |]
+let set_2 = [| "frog"; "elephant"; "thing" |]
+let set_3 = [| "walked"; "treaded"; "grows" |]
+let set_4 = [| "slowly"; "quickly" |]
+
+let comb_search p aa =
+  let nx = Array.make (Array.length aa) 0 in
+  let lx = Array.map Array.length aa in
+  let la = Array.length aa in
+  let rec loop() =
+    let res = Array.mapi (fun i j -> aa.(i).(j)) nx in
+    if p res then (res)
+    else
+    ( nx.(0) <- nx.(0) + 1;
+      if nx.(0) < lx.(0)
+      then loop()
+      else
+      ( nx.(0) <- 0;
+        let rec roll n =
+          if n >= la then raise Not_found
+          else
+          ( nx.(n) <- nx.(n) + 1;
+            if nx.(n) >= lx.(n)
+            then ( nx.(n) <- 0; roll (n+1) )
+            else loop()
+          )
+        in
+        roll 1
+      )
+    )
+  in
+  loop()
+
+let last s = s.[pred(String.length s)]
+let joined a b = (last a = b.[0])
+
+let rec test = function
+  | a::b::tl -> (joined a b) && (test (b::tl))
+  | _ -> true
+
+let test r = test(Array.to_list r)
+
+let print_set set =
+  Array.iter (Printf.printf " %s") set;
+  print_newline();
+;;
+
+let () =
+  let result = comb_search test [| set_1; set_2; set_3; set_4 |] in
+  print_set result;
+;;