vault backup: 2025-03-25 18:22:22

Concurrent Systems/notes/8 - Enhancing Liveness Properties.md

@@ -135,4 +135,8 @@ Since ⟨ti,i⟩ is the minimum index of a non-terminating invocation
 Since $p_i$ is correct, eventually (for all $p_k$ correct):
 - i will not be anymore in $suspected_{i}$ (as $p_i$ will not crash as its correct)
 - $⟨ti,i⟩ = min\{⟨TS[x],x⟩ \space|\space x \in competing_{k}\}$ (all pk will select pi as the minimum)
-Hence, the invocation with index ⟨ti,i⟩ will eventually have exclusive execution, and because of obstruction freedom it eventually terminates.
+Hence, the invocation with index ⟨ti,i⟩ will eventually have exclusive execution, and because of obstruction freedom it eventually terminates.
+
+#### On implementing ♢P
+- every non-failed process has eventually an upper bound on the write delay
+- by properly setting timers, eventually crashed processes are distinguished from the non-crashed ones by looking at the suspicions: for the crashed ones, this numbers increases indefinitely; for non-crashed ones, some reset eventually happens.