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.

We investigate a class of first-order temporal epistemic logics for the specification of multi-agent systems. We consider well-known properties of multi-agent systems including perfect recall, synchronicity, no learning, unique initial state, and define natural correspondences of these into quantified interpreted systems, the semantics we use to reason about multiagent systems in a first-order setting. Our findings identify several monodic fragments of first-order temporal epistemic logic that we prove to be both sound and complete with respect to the corresponding classes of quantified interpreted systems. The results show that interaction axioms for propositional temporal epistemic logic can be lifted to the monodic fragment.