Abstract:In this paper, the authors present a complete introduction of a program developm ent and verification system based on rewriting techniques, focusing on the theor y, methods and techniques of the verification subsystem. The verification subsys tem enables the system to prove the correctness of the optimization rules and te st equations in programs and specifications, hence the soundness of the program development process is further guaranteed. The main technique employed in the ve rification subsystem is rewriting induction featuring batch proof method and wit nessed test sets.