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

Author:

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

Abstract

AbstractRecent 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).

Funder

German Research Foundation

LIT Secure and Correct Systems Lab

Albert-Ludwigs-Universität Freiburg im Breisgau

Publisher

Springer Science and Business Media LLC

Reference50 articles.

1. Balyo T, Heule M, Iser M et al (eds) (2023) Proceedings of SAT competition 2023: Solver, Benchmark and Proof Checker Descriptions. Department of Computer Science Series of Publications B, Department of Computer Science, University of Helsinki, Finland

2. Berkeley Logic Synthesis and Verification Group (2019) ABC: a system for sequential synthesis and verification. available at https://people.eecs.berkeley.edu/alanmi/abc/

3. Brayton RK, Mishchenko A (2010) ABC: an academic industrial-strength verification tool. In: Computer Aided Verification. Springer, pp 24–40

4. Bryant RE (1986) Graph-based algorithms for Boolean function manipulation. IEEE Trans Comp 35(8):677–691

5. Bryant RE (1996) Bit-level analysis of an SRT divider circuit. In: Design Automation Conf., pp 661–665

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3