---
title: "On the Role of Mathematical Language Concept in the Theory of Intelligent Systems"
authors:
  - "Hajnal Andréka"
  - "Tamás Gergely"
  - "István Németi"
doi: ""
url: "https://ijcai.org/proceedings/1975/2"
pdf: "https://ijcai.org/proceedings/1975/0002.pdf"
venue: "Proceedings of the Fourth International Joint Conference on Artificial Intelligence"
year: 1975
pages: "9-13"
track: "Mathematical and Theoretical Aspects of A.I"
keywords:
---

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

Hajnal Andréka, Tamás Gergely, István Németi

*Proceedings of the Fourth International Joint Conference on Artificial Intelligence*, 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.