Evaluation Opportunities in Mechanized Theories

This invited talk will look at logic solvers through the application lens of constructing and processing a theory library of mechanized mathematics. In fact, constructing and processing theories are two distinct applications, and each will be considered in turn. Construction is carried out by formalizing a mathematical theory using an interactive theorem prover, and logic solvers can remove much of the drudgery by automating common reasoning tasks. At the theory library level, logic solvers can provide assistance with theory engineering tasks such as compressing theories, managing dependencies, and constructing new theories from reusable theory components.

Application of Mechanized Mathematics in Rotor Dynamics

The mechanized mathematics-Wu elimination method is a vigorous method in solving nonlinear algebraic equations in China, but it is still not so popular in the West. In this paper the mechanized mathematics-Wu elimination method is introduced in brief and is used to solve the problem of dynamic behavior of a rotor-bearing system with nonlinear supports. The whirl equations of a short bearing-rotor system with two disks considering gyro-moment are studied. The idea of the characteristic set of Wu method is combined with Maple’s symbolic calculation. The whirl parameter of a rotor mounted on two supports are analyzed. The analytical results showing the relations of the bearing parameters and instability speed are presented.