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Multiagent Systems

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Prof. Dr. Jürgen Dix · Department of Informatics, TUC <strong>Multiagent</strong> <strong>Systems</strong>, WS 06/07 536/731<br />

8. Action/Time as Modalities 2. Action: Dynamic Logic<br />

1st. Idea: Consider actions or programs a. Each<br />

action a defines a transition<br />

(accessibility relation) from worlds into<br />

worlds.<br />

2nd. Idea: We need statements about the<br />

outcome of actions:<br />

[a]φ: “after every execution of a, φ<br />

holds;<br />

〈a〉φ: “after some executions of a, φ<br />

holds.<br />

Naturally, 〈a〉φ ≡ ¬[a]¬φ.

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