A Labeled Tableaux System for the Distributed Temporal Logic DTL

DTL is a distributed temporal logic for reasoning about temporal properties of distributed systems from the local point of view of the system's agents, which are assumed to execute sequentially and to interact by means of synchronous event sharing. We present a sound and complete labeled tableaux system for future-time DTL. To achieve this, we first formalize a labeled tableaux system for reasoning locally at each agent, which provides a system for full future-time LTL, and afterwards we combine the local systems into a global one by adding rules that capture the distributed nature of DTL.