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Guarded protocols were introduced in a seminal paper by Emerson and Kahlon(2000), and describe systems of processes whose transitions are enabled ordisabled depending on the existence of other processes in certain local states.We study parameterized model checking and synthesis of guarded protocols, bothaiming at formal correctness arguments for systems with any number ofprocesses. Cutoff results reduce reasoning about systems with an arbitrarynumber of processes to systems of a determined, fixed size. Our work stems fromthe observation that existing cutoff results for guarded protocols i) arerestricted to closed systems, and ii) are of limited use for livenessproperties because reductions do not preserve fairness. We close these gaps andobtain new cutoff results for open systems with liveness properties underfairness assumptions. Furthermore, we obtain cutoffs for the detection ofglobal and local deadlocks, which are of paramount importance in synthesis.Finally, we prove tightness or asymptotic tightness for the new cutoffs.

Tight Cutoffs for Guarded Protocols with Fairness