An Approximation-Based Abstract Interpretation Framework for Formal Verification of Floating-Point Programs

Vinh D. Thai, T. Quan, Tien V. Le, B. Ngo
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引用次数: 1

Abstract

Formal verification of programs involved with floating-point data type still remains a tough problem nowadays. One of the major problems faced in this area is how to reflect the rounding error caused by IEEE standard floating-point processing for verification. In this paper we present an approximation approach which basically converts all floating-point data objects into corresponding integer values. It is carried by some scale operations, which are shown equivalent to a consistent Abstract Interpretation. We have also developed a Web-based verification system to check programming works submitted by students. Experimental results show that the learning interests of students have been significantly improved since floating-point programming problems were supported in the system.
基于近似的浮点程序形式化验证抽象解释框架
目前,对涉及浮点数据类型的程序进行正式验证仍然是一个棘手的问题。该领域面临的主要问题之一是如何反映由IEEE标准浮点处理引起的舍入误差进行验证。在本文中,我们提出了一种近似方法,基本上将所有浮点数据对象转换为相应的整数值。它是由一些尺度运算进行的,这些尺度运算等价于一致的抽象解释。我们还开发了一个基于网络的验证系统来检查学生提交的编程作品。实验结果表明,该系统支持浮点编程问题后,学生的学习兴趣得到了显著提高。
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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