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Circumscription and logic programs under the stable model semantics are twowell-known nonmonotonic formalisms. The former has served as a basis ofclassical logic based action formalisms, such as the situation calculus, theevent calculus and temporal action logics; the latter has served as a basis ofa family of action languages, such as language A and several of itsdescendants. Based on the discovery that circumscription and the stable modelsemantics coincide on a class of canonical formulas, we reformulate thesituation calculus and the event calculus in the general theory of stablemodels. We also present a translation that turns the reformulations furtherinto answer set programs, so that efficient answer set solvers can be appliedto compute the situation calculus and the event calculus.

Reformulating the Situation Calculus and the Event Calculus in the General Theory of Stable Models and in Answer Set Programming