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arXiv · 2502.20193

Model Checking Linear Temporal Logic with Standpoint Modalities

Rajab Aghamov·Christel Baier·Toghrul Karimov·Rupak Majumdar·Joël Ouaknine·Jakob Piribauer·Timm Spork
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Abstract

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.

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Rajab Aghamov, Christel Baier, Toghrul Karimov, Rupak Majumdar, Joël Ouaknine, Jakob Piribauer, Timm Spork. 2025-02-27. Model Checking Linear Temporal Logic with Standpoint Modalities. https://arxiv.org/abs/2502.20193

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