Abstract
In this paper, first the necessity of some improvements on Zadeh's State Axioms is discussed, then the concept of ' Equivalence Classes of Inputs ' (the major tool of the behavioural approach) is used to investigate the properties of Reduced and Half-Reduced State Descriptions. The uniqueness of Reduced Descriptions and the strong relation of the pre-t 0history of the system to its State Description are among the results attained. These results are completely general in that they do not assume any mathematical form governing the system behaviour.
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