用可重用的SMT求解器接口对整型数据类型进行合理的推理

Régis Blanc, Viktor Kunčak
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引用次数: 4

摘要

我们扩展了Scala的Leon验证系统,支持位向量推理,从而解决了它在处理整数原语方面的一个基本可靠性限制。我们利用最近在SMT求解方面取得的重大进展,开发了一个独立于求解器的接口来轻松配置Leon的后端。我们的接口基于用于SMT求解器的新兴SMT- lib标准,并且我们发布了一个Scala库,为该标准的最新版本提供全面支持。我们使用标准的BigInt Scala库来表示数学整数,而我们正确地将Int建模为32位整数。通过除零的检验和除法与模的正确建模,保证了算法的安全性。最后,我们比较了整数的声音表示和使用数学整数的更清晰的抽象表示之间的性能,并讨论了所涉及的权衡。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sound reasoning about integral data types with a reusable SMT solver interface
We extend the Leon verification system for Scala with support for bit-vector reasoning, thus addressing one of its fundamental soundness limitation with respect to the treatment of integers primitives. We leverage significant progresses recently achieved in SMT solving by developing a solver-independent interface to easily configure the back-end of Leon. Our interface is based on the emerging SMT-LIB standard for SMT solvers, and we release a Scala library offering full support for the latest version of the standard. We use the standard BigInt Scala library to represent mathematical integers, whereas we correctly model Int as 32-bit integers. We ensure safety of arithmetic by checking for division by zero and correctly modeling division and modulo. We conclude with a performance comparison between the sound representation of Ints and the cleaner abstract representation using mathematical integers, and discuss the trade-off involved.
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