The performance of combining multiway decision graphs and HOL theorem prover

Sa'ed Abed, O. Mohamed, G. A. Sammane
{"title":"The performance of combining multiway decision graphs and HOL theorem prover","authors":"Sa'ed Abed, O. Mohamed, G. A. Sammane","doi":"10.1109/FDL.2008.4641435","DOIUrl":null,"url":null,"abstract":"In this paper, we are interested in defining a platform for high level model checking using multiway decision graphs (MDGs) within high order logic. The platform is based on the logical formulation of an MDG as a directed formulae (DF). The DF is defined in the HOL theorem prover where the many sorted first-order logic is characterized as a HOL built-in data type. Then, the HOL inference rules are defined to check the well-formedness conditions of any directed formula. Based on this formalization, the MDGs operations are defined as inference rules and consistency and well-formedness proof of each operation is provided. Finally, some experimental results are presented to show the performance of the MDG-HOL platform. The obtained results show that this platform offers a considerable gain in terms of automation without sacrificing CPU time and memory usage.","PeriodicalId":202172,"journal":{"name":"2008 Forum on Specification, Verification and Design Languages","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Forum on Specification, Verification and Design Languages","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FDL.2008.4641435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

Abstract

In this paper, we are interested in defining a platform for high level model checking using multiway decision graphs (MDGs) within high order logic. The platform is based on the logical formulation of an MDG as a directed formulae (DF). The DF is defined in the HOL theorem prover where the many sorted first-order logic is characterized as a HOL built-in data type. Then, the HOL inference rules are defined to check the well-formedness conditions of any directed formula. Based on this formalization, the MDGs operations are defined as inference rules and consistency and well-formedness proof of each operation is provided. Finally, some experimental results are presented to show the performance of the MDG-HOL platform. The obtained results show that this platform offers a considerable gain in terms of automation without sacrificing CPU time and memory usage.
多路决策图与HOL定理相结合的性能证明
在本文中,我们有兴趣在高阶逻辑中定义一个使用多路决策图(mdg)进行高级模型检查的平台。该平台基于千年发展目标作为有向公式的逻辑表述。DF在HOL定理证明中定义,其中许多排序的一阶逻辑被表征为HOL内置数据类型。然后,定义了HOL推理规则来检验任何有向公式的良构性条件。在此形式化的基础上,将千年发展目标的操作定义为推理规则,并提供了每个操作的一致性和格式良好性证明。最后,给出了一些实验结果来验证MDG-HOL平台的性能。所获得的结果表明,该平台在不牺牲CPU时间和内存使用的情况下提供了相当大的自动化增益。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信