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How to Facilitate the Proof of Theorems by Using the Induction-matching, and by Generalization

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Proceedings of the Ninth International Joint Conference on Artificial Intelligence. Theorem Proving. Pages 1208-1212.

Abstract

In this paper, we show how we conceive the proof of theorems by sructural induction. Our aim is to facilitate the proof of the theorems which can Iead, in a context of automatic theorem proving, to very lengthy ( or even impossible) proofs. We use a very simple tool, the i-matching or inductionmatching, which allows us, on the one hand to deftne an original procedure of generalization, and on the other hand tu deftne an original way of generating Iemmas .

Jacqueline Castaing. 1985. How to Facilitate the Proof of Theorems by Using the Induction-matching, and by Generalization. In Proceedings of the Ninth International Joint Conference on Artificial Intelligence, IJCAI-85. IJCAI, 1208–1212. https://ijcai.org/proceedings/1985/244
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