Abstract
This paper presents a model of computation for distributed control systems where a global time base does not exist. A notion of logical time based on time vectors which reflect causality between events is proposed instead. According to this, it is shown that the set of global states of a distributed control system is partially ordered and forms a lattice. New algorithms to determine global states and to compute the lattice of global states based on vector timestamps are proposed. The lattice of global states is used as a basis to define and to detect global predicates, including predicates with modal and temporal clauses. The global predicate detection technique is used to detect violations of correctness and safety conditions in a distributed control system.
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