diff --git a/theories/logatom/rdcss/rdcss.v b/theories/logatom/rdcss/rdcss.v
index f7c195e6329cbb02cbecd1d54b871f0ebb3370e3..fa6ba380384d6d09d3203bd2dcb42f6188ae7c92 100644
--- a/theories/logatom/rdcss/rdcss.v
+++ b/theories/logatom/rdcss/rdcss.v
@@ -13,18 +13,16 @@ Set Default Proof Using "Type".
 
 (** * Implementation of the functions. *)
 
-(* 1) l_m corresponds to the A location in the paper and can differ when helping another thread
-      in the same RDCSS instance.
-   2) l_n corresponds to the B location in the paper and identifies a single RDCSS instance.
-   3) Values stored at the B location have type
-
-      Val + Ref (Ref * Val * Val * Val * Proph)
-
-      3.1) If the value is injL n, then no operation is on-going and the logical state is n.
-      3.2) If the value is injR (Ref (l_m', m1', n1', n2', p)), then an operation is on-going
-           with corresponding A location l_m'. The reference pointing to the tuple of values
-           corresponds to the descriptor in the paper. We use the name l_descr for such a
-           descriptor reference.
+(* 1) The M location l_m can differ when helping another thread in the same RDCSS instance
+      (Harris et al. refer to it as a location in the control section.)
+   2) The N location l_n identifies a single RDCSS instance.
+      (Harris et al. refer to it as a location in the data section.)
+   3) There are two kinds of values stored at N locations
+
+      3.1) The value is injL n for some n: no operation is on-going and the logical state is n.
+      3.2) The value is injR l_descr for some location l_descr (which we call a descriptor):
+           l_descr must point to a tuple (l_m, m1, n1, n2, p) for some M location l_m, values m1, n1, n2 and prophecy p.
+           In this case an operation is on-going with corresponding M location l_m.
 *)
 
 (*