F. Belardinelli and A. Lomuscio (2012) "Interactions between Knowledge and Time in a First-Order Logic for Multi-Agent Systems: Completeness Results", Volume 45, pages 1-45
PDF | PostScript | doi:10.1613/jair.3547
We investigate a class of first-order temporal-epistemic logics for reasoning about multi-agent systems. We encode typical properties of systems including perfect recall, synchronicity, no learning, and having a unique initial state in terms of variants of quantified interpreted systems, a first-order extension of interpreted systems. We identify several monodic fragments of first-order temporal-epistemic logic and show their completeness with respect to their corresponding classes of quantified interpreted systems.
