Safety Analysis of Parameterized Networks with Non-Blocking Rendez-Vous and Broadcasts
                                                    Lucie Guillou
                                                IRIF,Paris, France 
			
                    
                
                11 Dec 2024, 2:00 pm - 4:00 pm            
            Kaiserslautern building G26, room 113
            SWS Colloquium
		I will present two recent joint works done with Arnaud Sangnier and Nathalie 
Sznajder. We study networks of processes that all execute the same finite 
protocol and communicate synchronously in two different ways: a process can 
broadcast one message to all other processes or send it to at most one other 
process. We study two coverability problems with a parameterised number of 
processes (state coverability and configuration coverability). It is already 
known that these problem are Ackermann-hard (and decidable) in the general 
case. ...
                I will present two recent joint works done with Arnaud Sangnier and Nathalie 
Sznajder. We study networks of processes that all execute the same finite 
protocol and communicate synchronously in two different ways: a process can 
broadcast one message to all other processes or send it to at most one other 
process. We study two coverability problems with a parameterised number of 
processes (state coverability and configuration coverability). It is already 
known that these problem are Ackermann-hard (and decidable) in the general 
case. This already holds when the processes communicate only by broadcasts. We 
show that when forbidding broadcasts, the two problems are EXPSPACE-complete. 
We also study a restriction on the protocol: a Wait-Only protocol has no state 
from which a process can send and receive messages. We show that without 
broadcasts, both problems are PTIME-complete in this restriction, and with 
broadcasts, state coverability is PTIME-complete and configuration coverability 
PSPACE-complete.
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