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(2018) Jaakko Hintikka on knowledge and game-theoretical semantics, Dordrecht, Springer.
Playing cards with Hintikka
an introduction to dynamic epistemic logic
Hans van Ditmarsch, Barteld Kooi
pp. 237-262
This contribution is a gentle introduction to so-called dynamic epistemic logics, that can describe how agents change their knowledge and beliefs. We start with a concise introduction to epistemic logic, through the example of one, two and finally three players holding cards; and, mainly for the purpose of motivating the dynamics, we also very summarily introduce the concepts of general and common knowledge. We then pay ample attention to the logic of public announcements, wherein agents change their knowledge as the result of, indeed, public announcements. One crucial topic in that setting is that of unsuccessful updates: formulas that become false when announced. The Moore-sentences that were already extensively discussed at the conception of epistemic logic in [15] give rise to such unsuccessful updates. After that, we present a few examples of more complex epistemic updates. Our closing observations are on recent developments that link the 'standard" topic of (theory) belief revision [1] to the dynamic epistemic logics introduced here.
Publication details
DOI: 10.1007/978-3-319-62864-6_9
Full citation:
van Ditmarsch, H. , Kooi, B. (2018)., Playing cards with Hintikka: an introduction to dynamic epistemic logic, in H. Van Ditmarsch & P. Sandu (eds.), Jaakko Hintikka on knowledge and game-theoretical semantics, Dordrecht, Springer, pp. 237-262.
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