Divider verification using symbolic computer algebra and delayed don’t care optimization: theory and practical implementation

IF 0.7 4区计算机科学 Q3 COMPUTER SCIENCE, THEORY & METHODS Formal Methods in System Design Pub Date : 2024-05-24 DOI:10.1007/s10703-024-00452-3

Alexander Konrad, Christoph Scholl, Alireza Mahzoon, Daniel Große, Rolf Drechsler

引用次数: 0

Abstract

Recent methods based on Symbolic Computer Algebra (SCA) have shown great success in formal verification of multipliers and—more recently—of dividers as well. In this paper we enhance known approaches by the computation of satisfiability don’t cares for so-called Extended Atomic Blocks (EABs) and by Delayed Don’t Care Optimization (DDCO) for optimizing polynomials during backward rewriting. Using those novel methods we are able to extend the applicability of SCA-based methods to further divider architectures which could not be handled by previous approaches. We successfully apply the approach to the fully automatic formal verification of large dividers (with bit widths up to 512).

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使用符号计算机代数和延迟不关心优化进行除法验证：理论与实际应用

最近，基于符号计算机代数（SCA）的方法在乘法器以及最近的除法器的形式验证中取得了巨大成功。在本文中，我们通过计算所谓的扩展原子块（EAB）的可满足性 "不关心"（satisfiability don't care），以及在反向重写过程中优化多项式的延迟 "不关心 "优化（DDCO），对已知方法进行了改进。利用这些新方法，我们能够将基于 SCA 的方法的适用性扩展到更多以前的方法无法处理的分频器架构。我们成功地将该方法应用于大型分频器（位宽达 512）的全自动形式验证。

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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