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Lecture Notes in Computer Science
We settle the complexity bounds of the model checking problem for the replication-free ambient calculus with public names against the ambient logic without parallel adjunct. We show that the problem is PSPACE-complete. For the complexity upper-bound, we devise a new representation of processes that remains of polynomial size during process execution; this allows us to keep the model checking procedure in polynomial space. Moreover, we prove PSPACEhardness of the problem for several quite simpledoi:10.1007/3-540-45315-6_10 fatcat:c7ntdwvsorel3cd2ythclgnxli