modal logic
The electronic textbook for the course, Modal Logic, is available online. Further resources include:
Blackburn, de Rijke, and Venema. Modal Logic, Cambridge University Press, 2022.
Cresswell and Hughes. A New Introduction to Modal Logic. Taylor & Francis, 1996. NB. Hughes and Cresswell use the symbol L for \(\Box\) and M for \(\Diamond\).
The schedule below includes links to lecture notes, problem sets, and other materials for the course. Here is a link to the syllabus for the course.
There is a survey form in Brighspace you may use in order to sign up for a problem presentation.
schedule
Background | ||
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Mon 8/25 | Relations | |
Wed 8/27 | Induction and Recursion | |
Mon 9/1 | University Holiday: Labor Day | |
Wed 9/3 | Problem Session 1 | Presentation |
Propositional logic | ||
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Mon 9/8 | Basic Language | |
Wed 9/10 | Axiomatic Derivations | Written Solutions |
Mon 9/15 | The Deduction Theorem | |
Wed 9/17 | Problem Session 2 | Presentation |
Mon 9/22 | Completeness |
Modal Propositional Logic | ||
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Wed 9/24 | Basic Language | Written Solutions |
Mon 9/29 | Possible Worlds | |
Wed 10/1 | Problem Session 3 | Presentation |
Mon 10/6 | Frames | |
Wed 10/8 | Frame Definability | Written Solutions |
Mon 10/13 | Axiomatic Derivations | |
Wed 10/15 | Problem Session 4 | Presentation |
Mon 10/20 | Normal Modal Logics | |
Wed 10/22 | Canonical Models | Written Solutions |
Mon 10/27 | Completeness | |
Wed 10/29 | Problem Session 5 | Presentation |
Selected Applications | ||
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Mon 11/3 | Tense Logic | |
Wed 11/5 | Tense and Choice | Written Solutions |
Mon 11/10 | Deontic Logic | |
Wed 11/12 | Problem Session 6 | Presentation |
Mon 11/17 | Epistemic Logic: Knowledge | Project Proposal |
Wed 11/19 | Information Flow & Common Knowledge |
Written Solutions |
Mon 11/24 | Conditional Logic | |
Wed 11/26 | Thanksgiving Break | |
Mon 12/1 | Sphere Models | |
Wed 12/3 | Quantified Modal Logic | |
Wed 12/10 | Final Project Due |