| 摘要: |
| 主要研究带mismatch的高阶进程演算的公理化问题.首先,建立存在mismatch时高阶进程的开弱高阶互模拟理论,证明了等价关系、同余性等重要性质;其次,沿用线性的方法,构建得到带mismatch的有限进程上的公理系统;最后,基于对开弱高阶互模拟的刻画,证明了该公理系统的完备性定理.该工作为带mismatch的高阶进程上互模拟判定的有效算法的设计与实现,进而为相关的应用建模工作提供了理论借鉴. |
| 关键词: 公理化 互模拟 mismatch 线性 高阶 π演算 进程演算 |
| DOI：10.13328/j.cnki.jos.004523 |
| 分类号: |
| 基金项目:国家自然科学基金-法国国家科研署联合项目PACE(61261130589, 12IS02001);国家自然科学基金(61202023, 61173048) |
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| Higher-Order π-Calculus with the Mismatch Operator |
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XU Xian1,2
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1.Department of Computer Science and Engineering, East China University of Science and Technology, Shanghai 200237, China;2.Department of Computer Science and Technology, Shanghai Jiaotong University, Shanghai 200240, China
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| Abstract: |
| This paper mainly studies the axiomatization of higher-order process calculi with the mismatch operator. Firstly, it formulates the theory of open weak higher-order bisimulation, and shows important properties such as equivalence and congruence. Secondly, following the method on linearity, it builds up an axiom system for finite processes. Finally, based on the characterization of open weak higher-order bisimulation, it proves the completeness of the axiom system. The work of this paper provides the basis for designing and implementing an effective algorithm for checking the bisimulation equivalence of higher-order processes with the mismatch operator, and a theoretical reference for relevant applications of modeling with higher-order processes. |
| Key words: axiomatization bisimulation mismatch linear higher-order π-calculus process calculus |
