Taking all the problems mentioned above into account,we have designed and implemented an automated theorem prover and an auxiliary proof checker in the framework of a certifying compiler,the prover and checker are used to help accomplishing the verification of programs.

The automatic theorem proving (also is called machine theorem proof, mechanized theorem proof and so on) is an important branch of artificial intelligence research, is interdisciplinary studies field between mathematics and computer science.

This issue account for how to realize a vacuum cleaner Agent using Java through the medium of introducing the theorem prover.

To implement the parallel numerical method for automated theorem proving in constructive geometry, a prover is presented here,which is applicable to a statement constructed by a so_called straight_line program.

There has been a lot of success in the study of automated theorem proving during the past 50 years.

The Mizar project is created and develops with the development of automated theorem proving which is a branch of artificial intelligence.

Traditionally, Mechanical theorem proving often use a logic representation , and then inference, these methods lack of flexibility and the proving processes are difficult to understand.

Based on a computational logic, this paper introduces a new heuristic approach called rippling-out tactic in mechanical theorem proving.

The research in mechanical theorem proving has great significance in the theory and the practice.