Decidable and undecidable logics with a binary modality

We give an overview of decidability results for modal logics having a binary modality. We put an emphasis on the demonstration of proof-techniques, and hope that this will also help in finding the borderlines between decidable and undecidable fragments of usual first-order logic.
Keywords poly-modal and multi-modal logics  decision problems  Arrow logics  algebraic logic  relation algebra  associativity  dynamic logics  action algebras  Boolean algebras with operators
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DOI 10.1007/BF01049412
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Michał Walicki, Marc Bezem & Wojtek Szajnkenig (2009). Developing Bounded Reasoning. Journal of Logic, Language and Information 18 (1):97-129.

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