Towards Animation of Proofs {testing proofs by examples{

In this paper, we introduce the notion of proof animation. It is a new application of the principle of \Curry-Howard isomorphism" to formal proof developments. Logically, proof animation is merely a contrapositive of \proofs as programs," which is an application of Curry-Howard isomorphism to formal program developments. Nonetheless, the new viewpoint totally changes the scene. The motivation, aims, problems, and a prototype tool under development will be presented. We will also suggest possibility of \proof engineering" guided by the Curry-Howard isomorphism.