In this paper we make a detailed comparison of the Situation Calculus
and the Event Calculus, two logic-based temporal reasoning formalisms.
We concentrate on differences between the calculi, considering the si
milarities sufficiently indicated in the recent literature. We illustr
ate the inability of Event Calculus to handle counterfactual reasoning
problems, and that of Situation Calculus to deal with counterfactual
statements in the presence of actions with nondeterministic effects. W
e present a new calculus which extends both Situation and Event Calcul
us. In this new calculus we define a natural and clear relation betwee
n situations and time points, which differs from those used in previou
s comparisons. We show the relation of this new calculus to both origi
nal calculi. We compare the original calculi using the new calculus as
an analysis tool. (C) Elsevier Science Inc., 1997.