Demonstration of automated techniques, TAL and automated theorem proving, to verify the safety of the complex low-level code in the operating system and run-time.
它演示了自动化技术、TAL和自动化定理证明，从而验证了操作系统中和运行时复杂的低级代码的安全性。
There has been a lot of success in the study of automated theorem proving during the past 50 years.
定理机器证明的研究已有将近50年的历史，并已经在数理逻辑、初等代数和几何学等学科取得显著成功。
Antecedent derivation is an extension of theorem proving.
前件推导是定理证明的一种扩展。
Property verification is carried out using theorem proving systems.
特性验证使用定理求证系统来实现。
The resolution principle is known to be a basic tool for theorem proving.
归结原理是定理机器证明中的一种基本技术。
The research in mechanical theorem proving has great significance in the theory and the practice.
定理机器证明的研究，在理论和实践上都具有重要的意义。
Meanwhile, the application examples of equivalent transformation in the modeling, transfer function calculating and theorem proving are suggested.
文中还给出了等价变换在建模、传函矩阵计算和有关定理证明方面应用的实例。
The subsidiary conditions (or called non-degeneracy conditions) are not one and only that a theorem holds in differential geometry theorem proving.
在微分几何定理证明中，一个定理成立的辅助条件(非退化条件)不是惟一的，但越简单越好。
Finally discusses the Lagrange mean value theorem proof method of constructing auxiliary function in order to expand on the idea of theorem proving.
最后探讨了拉格朗日中值定理证明中辅助函数的构造方法，以此拓展对定理证明的思路。
The forward reasoning for geometry theorem proving can produce the traditional readable proving, thus plays a special role in the mechanical theorem proving.
几何定理证明的前推法能够产生传统形式的可读证明，在定理机器证明领域占有重要的地位。
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.
传统上，定理机器证明常常使用某种逻辑表示，然后再进行推理，这些方法往往缺乏灵活性，且证明过程难以理解。
In this paper, how to optimally divide a complicated system for serving the need of system modelling well is studied theoretically. We present the optimal dividing theory and its theorem proving.
就如何进行大系统空间模块的分解以满足建模的需要，作了理论上的探讨，给出了最优空间分解判定及性质定理证明。
The article USES the proving of deduction theorem to give general program of construction theorem proving, and adding a piece of simplification command. The program is gotten strict and exercisable.
本文利用演绎定理的证明思路给出了一个由演绎证明构造公理证明的一般程序，并增加了一条简化命令，使该程序既严格又具有实际可操作性。
Additionally, the well-known four colour problem and elementary geometry theorem-proving problem have been discussed.
同时，也对四色问题与初等几何定理证明作了简单的讨论。
There are mathematical theorem-proving programs.
有些程序可以证明数学定理。
There are mathematical theorem-proving programs.
有些程序可以证明数学定理。
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