有时抽象本身可能是很大的工作量，以致定理证明程序可能花费过多时间和资源来完成证明。
Sometimes the abstraction itself may be so large that the theorem prover may take an inordinate amount of time and resources to complete the proof.
要不然，抽象会丢掉那么多信息，以致于定理证明程序产生的结果对抽象而言是正确的，但是对于正在被分析的程序而言则是不正确的了。
Or else, the abstraction may throw away so much information that the theorem prover may yield results that are correct for the abstraction, but incorrect for the program being analysed.
公布一个程序的源代码与公布一个定理的证明是一样的。
Publishing the source code of a program is the equivalent of publishing the proof of a theorem.
有些程序可以证明数学定理。
二十世纪七十年代，道格拉斯·莉娜的“自动数学家”程序自动生成数学定理，但是被证明基本上毫无用处。
In the 1970s, Douglas Lenat's Automated Mathematician automatically generated mathematical theorems, but they proved largely useless.
如果定理的条件被证明为真，则我们可以使用此定理来确定我们的程序的定理结果的正确性。
If the conditions of the theorems are shown to be true, then we can use the theorem to establish the truth of the theorem's result for our program.
本文证明了两个定理，并由此提出了开关电容电路灵敏度分析的一种方法，此方法特别适合于用计算机程序来实现。
In this paper two theorems have been proved and a method of sensitivity analysis of switched capacitor circuits has been described.
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。
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.
没有自动定理证明器的支持，程序性质的证明全部需要程序员手工完成，工作量巨大。
Without automated theorem prover, programmers have to generate all proofs by hand, which is a huge workload.
没有自动定理证明器的支持，程序性质的证明全部需要程序员手工完成，工作量巨大。
Without automated theorem prover, programmers have to generate all proofs by hand, which is a huge workload.
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