The paper considers term-modal logics and introduces some decidable fragments thereof. In particular, two fragments will be introduced: one that simulates monotone non-normal logics and another one that simulates normal multi-agent epistemic logics with quantification over groups of agents. These logics are defined semantically. Then, each of them is proof-theoretically characterized by a labelled calculus with good structural properties. Finally, we prove that each fragment considered is decidable, and we characterize the complexity of the validity problem for some of them.

Decidable term-modal logics

eugenio orlandelli
;
giovanna corsi
2018

Abstract

The paper considers term-modal logics and introduces some decidable fragments thereof. In particular, two fragments will be introduced: one that simulates monotone non-normal logics and another one that simulates normal multi-agent epistemic logics with quantification over groups of agents. These logics are defined semantically. Then, each of them is proof-theoretically characterized by a labelled calculus with good structural properties. Finally, we prove that each fragment considered is decidable, and we characterize the complexity of the validity problem for some of them.
2018
Multi-Agent Systems and Agreement technologies
147
162
eugenio orlandelli; giovanna corsi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/647157
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