Model Checking Linear Temporal Logic with Standpoint Modalities

From International Center for Computational Logic

Model Checking Linear Temporal Logic with Standpoint Modalities

Talk by Rajab Aghamov
Standpoint linear temporal logic (SLTL) is a recently introduced extension of classical linear temporal logic (LTL) with standpoint modalities. Intuitively, these modalities allow to express that, from agent a's standpoint, it is conceivable that a given formula holds. Besides the standard interpretation of the standpoint modalities, we introduce four new semantics, which differ in the information an agent can extract from the history. We provide a general model checking algorithm applicable to SLTL under any of the five semantics. Furthermore, we analyze the computational complexity of the corresponding model checking problems, obtaining PSPACE-completeness in three cases, which stands in contrast to the known EXPSPACE-completeness of the SLTL satisfiability problem.