Spahn notes on modal logic (Rev #4, changes)

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This idea [that modal operators perform quantification without making use of explicit variables and binding], when expressed mathematically, has turned out to be the most significant milestone in the history of modal logic.

References

• Blackburn, van Benthem, Wolter, Handbook of modal logic, Elsevier, 2007. For special chapters and their authors see below in “Contributors.

• Carnielli, Pizzi, Modalities and Multimodalities, Springer, 2008modalities and multimodalities, Springer, 2008

Contributors

• Yde Venema, website: algebraic- and coalgebraic aspects of modal logic. e.g §6 in the "handbook" starting at p.331 in this book without a (global) list of contents.

• Blackburn, van Bentham, Modal logic: A semantic perspective, “handbook” §1

• Valentin Goranko and Martin Otto. “handbook” §5 Model theory of modal logic.

• Bradfield, Stirling, “handbook” §12 Modal $\mu$-calculi

• Sergei Artemov, “handbook” §16 Modal logic in mathematics. modal logics of proof, logics of space and dynamic systems, modal logics in set theory.

• Van der Hoek, Pauly, “handbook” §20 Modal logic for games and information. Game theory.