Fundamental research on software verification based on algebraic method

基于代数方法的软件验证基础研究

• 批准号: 07680350
• 负责人: SAKAI Masahiko
• 金额: $ 1.47万
• 依托单位: Nagoya University (1997)Japan Advanced Institute of Science and Technology (1995-1996)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1997
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07680350/
• 关键词: term rewriting system; confluence; termination; E-unification; completion

This research is toward establishing verification method in equational logic and applying it software verification by transforming software to equations. The following results were obtained ;(1) The term set rewriting systems are defined by considering terminating equations as ordinal term rewriting rules and non-terminating equations as rewriting rules having sets of terms in both-hand sides.(2) term set rewriting systems is terminating if the corresponding E-rewriting is terminating.(3) Terminating and left-linear term set rewriting systems are confluent, if all critical pairs are joinable.(4) The inference rules for completion on term set rewriting systems are defined.(5) The efficient implementation of term set rewriting systems are investigated by constructing an experimental system.(6) The terminating property of rewriting systems on quotients of associative and commutative laws are discussed.(7) The new semantics of priority term rewriting system was offered.

这项研究是为了在方程式逻辑中建立验证方法，并通过将软件转换为方程来应用IT软件验证。获得以下结果；（1）术语集进行重写系统是通过考虑将终止方程作为序数期重写规则和非终止方程作为重写规则的重写规则来定义的。（2）术语设置的重写系统正在终止终止E-ewrient drunding Recrut derunting Recrun distrue necrient extrun ordere dercrient of Sertion derver nife derver derver derver derver nife dourlition distrienting distrienting derver derver derver nife derver。（3） （4）定义了在术语集重写系统上完成的推理规则。（5）通过构建实验系统来研究术语集重写系统的有效实现。（6）讨论了关联和交换法律的重写系统的终止属性终止属性。

项目成果

Takashi Nagaya: "Index Reduction of Overlapping Strong Sequential Systems" Tech. Rep,of IEICE. COMP96・32. 39-48 (1996)

Takashi Nagaya：“重叠强顺序系统的索引减少”技术，IEICE COMP96・32（1996）。

Masahiko Sakai: "Semantics and Strong Sequentiality of Prioority Term Rewriting Systems" Proc. on Rewriting Techniques and AppricatIon,LNCS. 1103. 377-391 (1996)

Masahiko Sakai：“优先术语重写系统的语义和强顺序性”Proc。

Y.Takahashi, M.Sakai, Y.Toyama: "On the confluence property of conditional term rewriting systems" Transactions of IEICE. J79-D-I (in Japanese). 897-902 (1996)

Y.Takahashi、M.Sakai、Y.Toyama：“论条件项重写系统的汇合性”，IEICE 汇刊。

草刈圭一朗: "非線形項書換え系の合流性について" 電子情報通信学会 技術報告. COMP95‐86. 123-129 (1996)

Keiichiro Kusakari：“非线性术语重写系统的汇合”IEICE COMP95-86 (1996)。

Keiichiro Kusakari: "Church-Rosser Property of Finite Ranked Terms of Non-linear Term Rewriting Systems" LAシンポジウム論文集. 160-165 (1996)

Keiichiro Kusakari：“非线性术语重写系统的有限排序术语的 Church-Rosser 属性”洛杉矶研讨会论文集 160-165 (1996)。