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A meta-modal logic for bisimulations

Published: July 20, 2025 | arXiv ID: 2507.15117v1

By: Alfredo Burrieza, Fernando Soler-Toscano, Antonio Yuste-Ginel

Potential Business Impact:

Makes computers understand when things are the same.

Business Areas:
Simulation Software

We propose a modal study of the notion of bisimulation. Our contribution is twofold. First, we extend the basic modal language with a new modality [b], whose intended meaning is universal quantification over all states that are bisimilar to the current one. We show that bisimulations are definable in this object language. Second, we provide a sound and complete axiomatisation of the class of all pairs of Kripke models linked by bisimulations.

Country of Origin
🇪🇸 Spain

Page Count
24 pages

Category
Computer Science:
Logic in Computer Science