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Inductive Inference on the Base of Fixed Point Theory

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Proceedings of the Tenth International Joint Conference on Artificial Intelligence. Reasoning. Pages 932-937.

Abstract

Inductive reasoning is an important way to generate knowledge from the propositions reflecting facts or directly from data We intend to extract new knowleO;Je in the form of definitions given as fixed point equations. An appropriate fixed point theory is outlined in favour of our aim . This theory suooests the so called generative fixed point equation system as the form of hypothesis thet we are looking for . The defining formulas in these equations use only bounded quantifiers but the relation to be defined may also negetively occur . An inductive inference method is presented es to find the hypothetical equation system from the increasing set of experimental data such that its solutions would fit all the information.

Tamás Gergely, and Zoltán Szabó. 1987. Inductive Inference on the Base of Fixed Point Theory. In Proceedings of the Tenth International Joint Conference on Artificial Intelligence, IJCAI-87. IJCAI, 932–937. https://ijcai.org/proceedings/1987/192
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