  With the rise of knowledge management and knowledge economy, the knowledge
elements that directly link and embody the knowledge system have become the
research focus and hotspot in certain areas. The existing knowledge element
representation methods are limited in functions to deal with the formality,
logic and reasoning. Based on description logic ALC and the common knowledge
element model, in order to describe the knowledge element, the description
logic ALC is expanded. The concept is extended to two diferent ones (that is,
the object knowledge element concept and the attribute knowledge element
concept). The relationship is extended to three (that is, relationship between
object knowledge element concept and attribute knowledge element concept,
relationship among object knowledge element concepts, relationship among
attribute knowledge element concepts), and the inverse relationship constructor
is added to propose a description logic KEDL system. By demonstrating, the
relevant properties, such as completeness, reliability,of the described logic
system KEDL are obtained. Finally, it is verified by the example that the
description logic KEDL system has strong knowledge element description ability.
