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| 直觉线性μ-演算中的合成推理 |
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KAZMISyedAsadRaza1,2,3, 张文辉1
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1.中国科学院 软件研究所 计算机科学重点实验室,北京 100190;2.中国科学院 研究生院 信息与工程学院,北京 100049;3.Department of Computer Science, Government College University, Lahore 54000, Pakistan
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| 摘要: |
| 讨论了以基于前缀封闭集合的Heyting代数的直觉解释的线性μ-演算(IμTL)作为描述“假设-保证”的逻辑基础的问题,提出了一个基于IμTL的“假设-保证”规则.该规则比往常应用线性时序逻辑(LTL)作为规范语言的那些规则具有更好的表达能力,扩展了对形如“always ?”等安全性质的“假设-保证”的范围,具备更一般的“假设-保证”推理能力及对循环推理的支持. |
| 关键词: 合成推理 命题线性时序逻辑 直觉线性μ-演算 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.60721061, 60573012 (国家自然科学基金); the National Basic Research Program of China under Grant No.2002CB312200 (国家重点基础研究发展计划(973)) |
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| Compositional Reasoning in Intuitionistic Linear-Time ?-Calculus |
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KAZMI Syed Asad Raza,ZHANG Wen-Hui
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| Abstract: |
| This paper discusses the use of intuitionistic linear-time μ-calculus (IμTL) whose underlying model is based on Heyting algebra of prefixed closed sets as the basis for the specification of assumption and guarantee paradigm, and then propose an assumption-guarantee rule in IμTL. The rule formulated is more general then previously proposed rules that used linear-time temporal logic (LTL) in the specification of assumption and guarantee paradigm and extends the discussion for safety properties of the form “always φ”, and therefore represents more uniform reasoning of assumption and guarantee specifications for also supporting circular compositional reasoning. |
| Key words: compositional reasoning propositional linear temporal logic intuitionistic linear time μ-calculus |
