A Logic of Relative Desire (Preliminary Report)

Although many have proposed formal characterizations of belief structures as bases for rational action, the problem of characterizing rational desires has attracted little attention. AI relies heavily on goal conditions interpreted (apparently) as absolute expressions of desirability, but these cannot express varying degrees of goal satisfaction or preferences among alternative goals. Our previous work provided a relative interpretation of goals as qualitative statements about preferability, all else equal. We extend that treatment to the comparison of arbitrary propositions, and develop a propositional logic of relative desire suitable for formalizing properties of planning and problem-solving methods.