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On the Role of Mathematical Language Concept in the Theory of Intelligent Systems

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Proceedings of the Fourth International Joint Conference on Artificial Intelligence. Mathematical and Theoretical Aspects of A.I. Pages 9-13.

Abstract

The aim of our paper is to show that a general theory of Intelligent Systems /IS/ can be based on the mathematical logic and on its model theory. A descriptive definition of IS is given. One can ~ee that the investigation of some important aspects of IS's functioning lead us to realize the necessity of a general language concept. The definition of the language is given as a triple: language = <syntax, set of possible worlds, validity > . The usefulness of this language concept for describing the IS functioning is shown. Mathematical background of this concept gives the possibility for the foundation of the formal IS's theory.

Hajnal Andréka, Tamás Gergely, and István Németi. 1975. On the Role of Mathematical Language Concept in the Theory of Intelligent Systems. In Proceedings of the Fourth International Joint Conference on Artificial Intelligence, IJCAI-75. IJCAI, 9–13. https://ijcai.org/proceedings/1975/2
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