diff --git a/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md b/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md
index 38625cc..f79eb8c 100644
--- a/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md	
+++ b/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md	
@@ -25,7 +25,7 @@ need_help(i) :=
 	NEED_HELP[i] <- true
 	repeat
 		X <- {j : NEED_HELP[j]}
-	until ev_leader(X) = i # loopa finché ev_leader non uguale per tutti
+	until ev_leader(X) = i # loopa finché non è lui stesso il leader (PER TUTTI)
 
 stop_help(i) :=
 	NEED_HELP[i] <- false
@@ -43,7 +43,9 @@ Let Q be the set of proc.'s that performed these invocations.
 **Observation:** $Q \subseteq X$ (it is possible that $p_j$ sets `NEED_HELP[j]` and then fails)
 
 By definition of $\Omega_{X}, \exists \tau'' \geq t'$ s.t. all proc.'s in Q have the same `ev_leader(X)`
-- the leader belongs to Q, since it cannot be failed and is involved i
+- the leader belongs to Q, since
+	- it is involved in the contention
+	- it can't be failed (by definition of `ev_leader`)
 - this is the only process allowed to proceed
 - because run in isolation, it eventually terminates (because of obstruction freedom)