On Wu's Method for Proving Constructive Geometric Theorems

Automated Theorem Proving in Projective Geometry with Bracket Algebra

We present a method which can produce readable proofs for theorems of constructive type involving points, lines and conics in projective geometry. The method extends Wu’s method to bracket algebra and develops the area method of Chou, Gao and Zhang in the framework of projective geometry.

Automated Ordering for Automated Theorem Proving in Elementary Geometry – Degree of Freedom Analysis Method

Wu’s method on mechanical theorem proving in geometries is a well-known method. Ordering of geometric constructions is one of the most important and difficult problems when applying this method. In this paper we proposed a systematic mechanical ordering method based on geometric considerations. This method has been tested by about one hundred theorems in plane geometry.

A Class of Geometry Statements of Constructive Type and Geometry Theorem Proving*

This paper is a technical extension of our previous work not published fully. It describes how to generate non-degenerate conditions in geometric form for a class of geometry statements of constructive type, called Class C, using Wu’s method. We reemphasize a mathematical theorem found by us stating that in the irreducible case, the non-degenerate conditions generated by our method are sufficie...

Geometric Theorem Proving by Integrated Logical and Algebraic Reasoning

Algebraic geometric reasoning by the Griibner basis method and Wu’s method has been shown to be powerful enough to prove those complex geometric theorems that could not be proved by ordinary logical reasoning methods. These algebraic reasoning methods, however, have a crucial limitation: they cannot correctly handle any geometric concepts involving order relations such as between and congruent ...

Automated geometric theorem proving: Wu's Method