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LECTURE 4: PRACTICAL REASONING 1 Practical ... - Sorry

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Lecture 4<br />

An Introduction to Multiagent Systems<br />

Lecture 4<br />

An Introduction to Multiagent Systems<br />

10 BDI Logic<br />

¯From classical logic:.<br />

¯The CTL£path quantifiers:<br />

¯Semantics of B-D-I components are given via accessibility<br />

relations over ‘worlds’, where each world is itself a branching<br />

time structure.<br />

Properties required of accessibility relations ensure belief logic<br />

KD45, desire logic KD, intention logic KD.<br />

(Plus interrelationships. . . )<br />

‘on all paths,’<br />

‘on some paths,’<br />

¯The BDI connectives:´Ðiµi believes<br />

´×iµi desires<br />

´ÁÒØiµi intends<br />

http://www.csc.liv.ac.uk/˜mjw/pubs/imas/ 44<br />

http://www.csc.liv.ac.uk/˜mjw/pubs/imas/ 45<br />

Lecture 4<br />

An Introduction to Multiagent Systems<br />

Lecture 4<br />

An Introduction to Multiagent Systems<br />

¯Belief goal compatibility:´×«µµ´Ð«µ<br />

¯Let us now look at some possible axioms of BDI logic, and see to<br />

what extent the BDI architecture could be said to satisfy these<br />

axioms.<br />

¯In what follows, let<br />

–«be an O-formula, i.e., one which contains no positive<br />

occurrences of;<br />

–be an arbitrary formula.<br />

States that if the agent has a goal to optionally achieve<br />

something, this thing must be an option.<br />

This axiom is operationalized in the function options: an option<br />

should not be produced<br />

´ÁÒØ«µµ´×«µ<br />

if it is not believed possible.<br />

¯Goal-intention compatibility:<br />

States that having an intention to optionally achieve something<br />

implies having it as a goal (i.e., there are no intentions that are<br />

not goals).<br />

Operationalized in the deliberate function.<br />

http://www.csc.liv.ac.uk/˜mjw/pubs/imas/ 46<br />

http://www.csc.liv.ac.uk/˜mjw/pubs/imas/ 47

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