Chapter 7

Continuous Change

Abstract

Discrete change is change that is limited to a countable, usually finite, set of timepoints. We represent discrete change in the event calculus using effect axioms. In a number of commonsense domains ranging from the physical to the mental, we find continuous change. Examples of continuous change include the change in the height of a falling object, the location of a projectile, the water level of a filling bathtub, the volume of a balloon in the process of inflation, the frequency of a siren, the hunger level of an animal, and the anger level of a person. In the discrete event calculus, time is limited to the integers; there we speak of gradual change. We discuss the representation of continuous change ...

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