Some strategies for proving theorems with a model checker abstract of invited talk

K. McMillan
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Abstract

Model checking techniques make it possible to verify properties of finite state programs of significant complexity in an automatic way. However, they are limited in scale for complexity reasons, and, of course, limited to finite state models. It is natural, then, to consider using a model checker as a decision procedure within a general-purpose theorem prover. In this way, the general-purpose prover could be used to reduce proof goals to finite-state subgoals of sufficiently small scale to be discharged by the model checker. Thus, in principle we can exploit the advantages of model checking to reduce the manual effort required constructing proofs of complex, infinite state systems.
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用模型检查器证明定理的一些策略
模型检验技术使以自动方式验证复杂有限状态程序的性质成为可能。然而,由于复杂性的原因,它们在规模上是有限的,当然,也仅限于有限状态模型。因此,考虑使用模型检查器作为通用定理证明器中的决策过程是很自然的。这样,通用证明器可以将证明目标简化为足够小的有限状态子目标,由模型检查器执行。因此,原则上我们可以利用模型检查的优势来减少构建复杂、无限状态系统的证明所需的人工工作量。
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