First-Order Temporal Verification in Practice

TitleFirst-Order Temporal Verification in Practice
Publication TypeJournal Article
Year of Publication2005
AuthorsC. Fernandez-Gago, U. Hustadt, C. Dixon, M. Fisher, and B. Konev
JournalJournal of Automated Reasoning
Volume34
Pagination295-321
PublisherSpringer
ISSN Number0168-7433
Abstract

First-order temporal logic, the extension of first-order logic with operators dealing with time, is a powerful and expressive formalism with many potential applications. This expressive logic can be viewed as a framework in which to investigate problems specified in other logics. The monodic fragment of first-order temporal logic is a useful fragment that possesses good computational properties such as completeness and sometimes even decidability. Temporal logics of knowledge are useful for dealing with situations where the knowledge of agents in a system is involved. In this paper we present a translation from temporal logics of knowledge into the monodic fragment of first-order temporal logic. We can then use a theorem prover for monodic first-order temporal logic to prove properties of the translated formulas. This allows problems specified in temporal logics of knowledge to be verified automatically without needing a specialized theorem prover for temporal logics of knowledge. We present the translation, its correctness, and examples of its use.

DOI10.1007/s10817-005-7354-1
Citation KeyFernandez2005
Paper File: 
https://www.nics.uma.es/sites/default/files/papers/Fernandez2005.pdf