Verification modulo theories

IF 0.7 4区计算机科学 Q3 COMPUTER SCIENCE, THEORY & METHODS Formal Methods in System Design Pub Date : 2023-09-19 DOI:10.1007/s10703-023-00434-x

Alessandro Cimatti, Alberto Griggio, Sergio Mover, Marco Roveri, Stefano Tonetta

引用次数: 0

Abstract

In this paper, we consider the problem of model checking fair transition systems expressed symbolically in the framework of Satisfiability Modulo Theories. This problem, referred to as Verification Modulo Theories, is tackled by combining two key elements from the legacy of Ed Clarke: SAT-based verification and abstraction refinement. We show how fundamental SAT-based algorithms have been lifted to deal with the extended expressiveness with a tight integration of abstraction within a CEGAR loop. In turn, the case of nonlinear theories is based on a CEGAR loop over the linear case. These two elements have also deeply impacted the development of the NuSMV model checker, born from a joint project between FBK and CMU, and its successor nuXmv, whose core integrates SMT-based techniques for VMT.

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验证模理论

在可满足模理论的框架下，研究了用符号表示的公平过渡系统的模型检验问题。这个问题被称为验证模理论(Verification Modulo Theories)，可以通过结合Ed Clarke遗留下来的两个关键元素来解决:基于sat的验证和抽象细化。我们展示了基本的基于sat的算法是如何被提升的，通过在CEGAR循环中紧密集成抽象来处理扩展的表达性。反过来，非线性理论的情况是基于线性情况上的CEGAR环。这两个因素也深刻影响了NuSMV模型检查器的发展，NuSMV模型检查器诞生于FBK和CMU的联合项目，其继任者nuXmv，其核心集成了基于smt的VMT技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Formal Methods in System Design 工程技术-计算机：理论方法

CiteScore

2.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The focus of this journal is on formal methods for designing, implementing, and validating the correctness of hardware (VLSI) and software systems. The stimulus for starting a journal with this goal came from both academia and industry. In both areas, interest in the use of formal methods has increased rapidly during the past few years. The enormous cost and time required to validate new designs has led to the realization that more powerful techniques must be developed. A number of techniques and tools are currently being devised for improving the reliability, and robustness of complex hardware and software systems. While the boundary between the (sub)components of a system that are cast in hardware, firmware, or software continues to blur, the relevant design disciplines and formal methods are maturing rapidly. Consequently, an important (and useful) collection of commonly applicable formal methods are expected to emerge that will strongly influence future design environments and design methods.

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