diff --git a/src/smt/Congruence_closure.ml b/src/smt/Congruence_closure.ml
index 37fbbc46..b9cd62f1 100644
--- a/src/smt/Congruence_closure.ml
+++ b/src/smt/Congruence_closure.ml
@@ -7,6 +7,15 @@ type node = N.t
 type repr = N.t
 type conflict = Theory.conflict
 
+module T_arg = struct
+  module Fun = Cst
+  module Term = struct
+    include Term
+    let view = cc_view
+  end
+end
+module Mini_cc = Mini_cc.Make(T_arg)
+
 (** A signature is a shallow term shape where immediate subterms
     are representative *)
 module Signature = struct
@@ -38,7 +47,7 @@ type t = {
   combine: combine_task Vec.t;
   undo: (unit -> unit) Backtrack_stack.t;
   on_merge: (repr -> repr -> explanation -> unit) option;
-  mutable ps_lits: Lit.Set.t;
+  mutable ps_lits: Lit.Set.t; (* TODO: thread it around instead? *)
   (* proof state *)
   ps_queue: (node*node) Vec.t;
   (* pairs to explain *)
@@ -121,7 +130,7 @@ let pp_full out (cc:t) : unit =
     (Util.pp_seq ~sep:" " pp_sig_e) (Sig_tbl.to_seq cc.signatures_tbl)
 
 (* compute signature *)
-let signature cc (t:term): node Term.view option =
+let signature cc (t:term): Signature.t option =
   let find = find_tn cc in
   begin match Term.view t with
     | App_cst (_, a) when IArray.is_empty a -> None
@@ -138,19 +147,19 @@ let find_by_signature cc (t:term) : repr option =
   | None -> None
   | Some s -> Sig_tbl.get cc.signatures_tbl s
 
-let add_signature cc (r:node): unit =
-  match signature cc r.n_term with
+let add_signature cc (n:node): unit =
+  match signature cc n.n_term with
   | None -> ()
   | Some s ->
     (* add, but only if not present already *)
     begin match Sig_tbl.find cc.signatures_tbl s with
       | exception Not_found ->
         Log.debugf 15
-          (fun k->k "(@[cc.add_sig@ %a@ <--> %a@])" Signature.pp s N.pp r);
+          (fun k->k "(@[cc.add_sig@ %a@ <--> %a@])" Signature.pp s N.pp n);
         on_backtrack cc (fun () -> Sig_tbl.remove cc.signatures_tbl s);
-        Sig_tbl.add cc.signatures_tbl s r;
+        Sig_tbl.add cc.signatures_tbl s n;
       | r' ->
-        assert (same_class cc r r');
+        assert (same_class cc n r');
     end
 
 let push_pending cc t : unit =
@@ -191,6 +200,7 @@ let[@inline] all_classes cc : repr Sequence.t =
   Term.Tbl.values cc.tbl
   |> Sequence.filter is_root_
 
+(* TODO: use markers and lockstep iteration instead *)
 (* distance from [t] to its root in the proof forest *)
 let[@inline][@unroll 2] rec distance_to_root (n:node): int = match n.n_expl with
   | E_none -> 0
@@ -267,6 +277,7 @@ let explain_loop (cc : t) : Lit.Set.t =
   done;
   cc.ps_lits
 
+(* TODO: do not use ps_lits anymore *)
 let explain_eq_n ?(init=Lit.Set.empty) cc (n1:node) (n2:node) : Lit.Set.t =
   ps_clear cc;
   cc.ps_lits <- init;
@@ -340,6 +351,7 @@ and task_pending_ cc n =
         | App_cst (f1, a1), App_cst (f2, a2) ->
           assert (Cst.equal f1 f2);
           assert (IArray.length a1 = IArray.length a2);
+          (* TODO: just use "congruence" as explanation *)
           Explanation.mk_merges @@ IArray.map2 (fun u1 u2 -> add_term_rec_ cc u1, add_term_rec_ cc u2) a1 a2
         | If _, _ | App_cst _, _ | Bool _, _
           -> assert false
@@ -361,7 +373,7 @@ and[@inline] task_combine_ cc acts = function
 and task_merge_ cc acts a b e_ab : unit =
   let ra = find cc a in
   let rb = find cc b in
-  if not (N.equal ra rb) then (
+  if not @@ N.equal ra rb then (
     assert (is_root_ ra);
     assert (is_root_ rb);
     let lazy e_ab = e_ab in
@@ -385,6 +397,7 @@ and task_merge_ cc acts a b e_ab : unit =
       let lits = explain_eq_n ~init:lits cc b rb in
       raise_conflict cc acts @@ Lit.Set.elements lits
     );
+    (* TODO: isntead call micro theories, including "distinct" *)
     (* update set of tags the new node cannot be equal to *)
     let new_tags =
       Util.Int_map.union
@@ -416,6 +429,8 @@ and task_merge_ cc acts a b e_ab : unit =
     merge_bool rb b ra a;
     (* perform [union r_from r_into] *)
     Log.debugf 15 (fun k->k "(@[cc.merge@ :from %a@ :into %a@])" N.pp r_from N.pp r_into);
+    (* TODO: only iterate on parents of [rb] *)
+    (* TODO: [ra.parents <- ra.parent ++ rb.parents] *)
     begin
       (* for each node in [r_from]'s class:
          - make it point to [r_into]
@@ -440,6 +455,7 @@ and task_merge_ cc acts a b e_ab : unit =
            r_from.n_next <- r_from_old_next;
            r_into.n_tags <- r_into_old_tags);
       r_into.n_tags <- new_tags;
+      (* swap [into.next] and [from.next], merging the classes *)
       r_into.n_next <- r_from_old_next;
       r_from.n_next <- r_into_old_next;
     end;
@@ -471,7 +487,9 @@ and task_distinct_ cc acts (l:node list) tag expl : unit =
   begin match coll with
     | Some ((n1,_r1),(n2,_r2)) ->
       (* two classes are already equal *)
-      Log.debugf 5 (fun k->k "(@[cc.distinct.conflict@ %a = %a@ :expl %a@])" N.pp n1 N.pp n2 Explanation.pp expl);
+      Log.debugf 5
+        (fun k->k "(@[cc.distinct.conflict@ %a = %a@ :expl %a@])" N.pp n1 N.pp
+            n2 Explanation.pp expl);
       let lits = explain_unfold cc expl in
       raise_conflict cc acts (Lit.Set.to_list lits)
     | None ->
@@ -512,6 +530,7 @@ and add_new_term_ cc (t:term) : node =
   let n = N.make t in
   (* how to add a subterm *)
   let add_to_parents_of_sub_node (sub:node) : unit =
+    let sub = find cc sub in (* update the repr! *)
     let old_parents = sub.n_parents in
     on_backtrack cc (fun () -> sub.n_parents <- old_parents);
     sub.n_parents <- Bag.cons n sub.n_parents;
diff --git a/src/smt/Congruence_closure.mli b/src/smt/Congruence_closure.mli
index 73c9892d..22215e37 100644
--- a/src/smt/Congruence_closure.mli
+++ b/src/smt/Congruence_closure.mli
@@ -68,3 +68,6 @@ val mk_model : t -> Model.t -> Model.t
 val check_invariants : t -> unit
 val pp_full : t Fmt.printer
 (**/**)
+
+module T_arg : Mini_cc_intf.ARG with type Fun.t = cst and type Term.t = Term.t
+module Mini_cc : module type of Mini_cc.Make(T_arg)