Model-checking lock-sharing systems against regular constraints
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We study the verification of distributed systems where processes are finite automata with access to a shared pool of locks. We consider objectives that are boolean combinations of local regular constraints. We show that the problem, PSPACE-complete in general, falls in NP with the right assumptions on the system. We use restrictions on the number of locks a process can access and the order in which locks can be released. We provide tight complexity bounds, as well as a subcase of interest that can be solved in PTIME.
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