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Multiagent Systems

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of. Dr. Jürgen Dix · Department of Informatics, TUC <strong>Multiagent</strong> <strong>Systems</strong>, WS 06/07 469/731<br />

7. Modal Logic<br />

Modal logic is an extension of classical logic by<br />

new connectives □ and ♦: necessity and<br />

possibility.<br />

“□p is true” means p is necessarily true, i.e.<br />

true in every possible scenario,<br />

“♦p is true” means p is possibly true, i.e.<br />

true in at least one possible scenario.<br />

Obviously, independently of the precise<br />

definition, the following holds<br />

♦p ↔ ¬□¬p

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