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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 06/07 490/731<br />

7. Modal Logic 3. Axioms for Modal Logics<br />

To which axioms do the following properties<br />

lead?<br />

Reflexivity: xRx for all x.<br />

Transitivity: xRy and yRz implies xRz for all<br />

x, y, z.<br />

Euclidean: xRy and xRz implies yRz for all for<br />

all x, y, z.<br />

Serial: For all x there is a y with xRy.<br />

Symmetry: For all x and y: xRy implies yRx.

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