X-2016-05: Notes on Mathematical Modal Logic

X-2016-05: van Benthem, Johan and Yafeng, Wang (2016) Notes on Mathematical Modal Logic. [Report]

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Abstract

These lecture notes cover classical model-theoretic results about modal logic over both models and frames, as developed up to about 1980. They also cover algebraic perspectives on modal logic, and the interplay of model-theoretic and algebraic techniques. Finally, they include some modern themes such as Lindström theorems, new perspectives on interpolation, modal fixed-point logics and infinitary modal logics. Note: These notes were written by Yafeng Wang (Department of Philosophy, Stanford University) as a record of three afternoon sessions on classical mathematical modal logic given by Johan van Benthem at the Berkeley-Stanford Logic Circle, San Francisco, May 2015.

Item Type: Report
Report Nr: X-2016-05
Series Name: Technical Notes (X) Series
Year: 2016
Uncontrolled Keywords: modal logic, first-order logic, second-order logic, model theory, correspondence theory, universal algebra, preservation theorems, Lindström theorems, fixed-point logic, infinitary logic
Subjects: Logic
Depositing User: Johan Benthem
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38
URI: https://eprints.illc.uva.nl/id/eprint/697

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