Abstract
Visual expressions are widely used in reasoning, but the formal basis of visual reasoning is not well understood. Emphasizing the notion of interpretation, to reflect the idea that the meaning of visual expressions is embodied in their uses, we present a formal framework for understanding visual reasoning which provides a basis for computational support of various modes of visual communication. In particular, we develop a formal semantics of visual reasoning which characterizes axiomatically what one can see in a picture and how an interpretation determines the meaning of a picture in its use in reasoning. Based on the formal semantics, a system for visual reasoning is designed, aiming at the future development of a visual reasoning environment supporting more general visual communication.
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