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Incremental Instance Generation in Local Reasoning

机译:upirmental实例在本地推理中生成

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Many verification approaches use SMT solvers in some form, and are limited by their incomplete handling of quantified formulas. Local reasoning allows to handle SMT problems involving a certain class of universally quantified formulas in a complete way by instantiation to a finite set of ground formulas. We present a method to generate these instances incrementally, in order to provide a more efficient way of solving these satisfiability problems. The incremental instantiation is guided semantically, inspired by the instance generation approach to first-order theorem proving. Our method is sound and complete, and terminates on both satisfiable and unsatisfiable input after generating a subset of the instances needed in standard local reasoning. Experimental results show that for a large class of examples the incremental approach is substantially more efficient than eager generation of all instances.
机译:许多验证方法使用某种形式的SMT溶剂,并且受到它们不完全处理量化公式的限制。本地推理允许以完整的方式处理涉及某一类普遍定量的公式的SMT问题,以完整的方式实施到有限的一组地面公式。我们提出了一种方法来逐步生成这些实例,以便提供更有效的方法来解决这些可满足性问题。语义上的增量实例化是由一阶定理证明的实例生成方法引导的。在生成标准本地推理中所需的实例的子集之后,我们的方法是声音和完整的,并且终止于满足和不匹配的输入。实验结果表明,对于大类示例,增量方法比所有实例的急于产生更有效。

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