带Mismatch算子的高阶π演算

Higher-Order π-Calculus with the Mismatch Operator

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.

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.