Building the Signature of Set Theory Using the MathSem Program
This work addresses knowledge representation for mathematics, but it appears incremental as it applies existing methods to a specific domain without clear broader impact.
The paper tackles the problem of representing mathematical knowledge by developing a deductive system that derives notions, axioms, and theorems as part of elementary set theory, and represents this theory as a semantic net.
Knowledge representation is a popular research field in IT. As mathematical knowledge is most formalized, its representation is important and interesting. Mathematical knowledge consists of various mathematical theories. In this paper we consider a deductive system that derives mathematical notions, axioms and theorems. All these notions, axioms and theorems can be considered as the part of elementary set theory. This theory will be represented as a semantic net.