Reasoning in Many-Valued Multi-Modal Logic: A Uniform and General Approach
Published in Journal of Artificial Intelligence Research, 2026
We aim to introduce a possible many-valued extension for multi-modal logic based on the family of finite FLew -algebras, as well as a sound and complete reasoning system for such logic. In order to give a general framework for many-valued temporal and spatial logic, we introduce the notion of a many-valued linear order, allowing for the definition of a many-valued semantics of modal frames. The reasoning system is based on the analytic tableau technique and implemented as part of an open-source framework for representing, reasoning, and learning from structured and unstructured data.
Recommended citation: Badia, Guillermo, Monego, Riccardo, Noguera, Carles, Paparella, Alberto, Sciavicco, Guido, and Stan, Eduard I. (2026). "Reasoning in Many-Valued Multi-Modal Logic: A Uniform and General Approach." Journal of Artificial Intelligence Research. 1(1).
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