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Solving "How to Clear a Block" with Constructive Matching Methodology

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Proceedings of the Twelfth International Joint Conference on Artificial Intelligence. Automated Reasoning. Pages 232-238.

Abstract

Constructive Matcliinfj is a methodology for proving by induction Specifications Theorems (ST), i.e., theorems of the fonn 'Vx 3z (P(x) ~ Q(x,z)). ST fonnalize the problem of constructing a program specified by given an input vector x, an input condition P, find an output vector z verifying Q(x,z), whenever P(x) holds. Till now , we have applied our method to the so-called Constnu:tiEJfe 'DomtJins, for which one disposes of a unique way of building any input and output data. The goal of this paper is to enlarge our methodology to well-founded domains which are not constructible. As a simple example, Manna and Waldinger's "How to Clear a Block" problem 2 is solved. As opposed to theirs, our method does consider strategic aspects of program derivation from a fonnal specification.

Marta Franová, and Yves Kodratoff. 1991. Solving "How to Clear a Block" with Constructive Matching Methodology. In Proceedings of the Twelfth International Joint Conference on Artificial Intelligence, IJCAI-91. IJCAI, 232–238. https://ijcai.org/proceedings/1991/35
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