notes on modal logic

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.


  • 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, 2008


  • 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 μ\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.

Last revised on February 18, 2013 at 22:26:11. See the history of this page for a list of all contributions to it.