| 卜登立,胡运全,廖萍.Exclusive-nor sum-of-sum逻辑及其最小化研究[J].井冈山大学自然版,2017,(5):39-45 |
| Exclusive-nor sum-of-sum逻辑及其最小化研究 |
| RESEARCH ON EXCLUSIVE-NOR SUM-OF-SUM LOGIC AND ITS MINIMIZATION |
| 投稿时间：2017-05-11 修订日期：2017-08-03 |
| DOI：10.3969/j.issn.1674-8085.2017.05.009 |
| 中文关键词: DRM (Dual Reed-Muller)逻辑 ENSOS (exclusive-nor sum-of-sum)逻辑 逻辑最小化 XNOR连接 |
| 英文关键词: dual Reed-Muller (DRM) logic exclusive-nor sum-of-sum (ENSOS) logic logic minimization XNOR-link |
| 基金项目:国家自然科学基金项目（61640412）；流域生态与地理环境监测国家测绘地理信息局重点实验室资助课题（WE2016012）；江西省教育厅科技计划项目（GJJ160746）. |
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| 中文摘要: |
| 对DRM（dual Reed-Muller）逻辑的非标准形表示形式和之同或和（exclusive-nor sum-of-sum，ENSOS）进行研究，并给出一种启发式的ENSOS逻辑最小化算法。该算法采用立方体覆盖表示ENSOS，对立方体迭代应用XNOR连接运算实现ENSOS逻辑的化简。为在算法结果质量与算法效率之间进行折中，该算法在进行立方体的XNOR连接时采用前瞻和回溯策略。使用基准函数进行验证的实验结果表明，所提出的算法能够获得更为精简的逻辑表达式。 |
| 英文摘要: |
| Focusing on exclusive-nor sum-of-sum (ENSOS), the non-canonical form of dual Reed-Muller (DRM) logic, a heuristic ENSOS minimization algorithm which uses cubes cover to represent ENSOS and minimizes ENSOS by iteratively applying XNOR-link on cubes is proposed. In order for trading off between the quality of resulted ENSOS and algorithm efficiency, the proposed algorithm utilizes look-ahead and back-trace strategy when performing XNOR-link on cubes. Experimental results by using a set of benchmark functions show that the proposed algorithm can obtain more compact logic expressions. |
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