Theory and Practice of Higher Order Concurrent Process Calculi

本研究的主要目的如下：(1)提出了高阶并发进程的计算模型，并建立了高阶并发进程的理论操作语义。(2)在此基础上，我们实现了一个编程环境，并将其应用于几个实例。我们得到了以下结果：(1)一个高阶过程演算的收缩我们提出了一个严格描述并发系统的高阶过程演算。这个演算为下面的研究项目(2)和(3)提供了数学基础。高阶过程运算语义的数学基础的建立对于(1)中提出的计算，我们进行了以下项目及其结果：(a)过程的等价：我们给出了基于高阶过程运算语义的等价理论。(b)高阶模态系统及模型检验：我们提出了一个高阶过程微积分的证明系统，并给出了其完备性定理。并给出了系统的力学模型校核方法。(c)类型系统：我们给出了微积分的类型系统，并讨论了它的性质。(3)编程环境的开发我们实现了微积分的编程环境，并将其应用到几个实例中。

The main objectives pf this research are as follows :(1) We propose a computational model of higher order concurrent processes and establish their theoretical operational semantics.(2) Based on the foundations weimplement a programming environment and apply it to several practical examples.We have obtained the follwing results :(1) Contraction of a Higher Order Process CalculusWehave proposed a higer order process calculus to describe concurrent systems rigorously. This calculus gives mathematical foundations of the following research items (2) and (3).Establishment of Mathematical Foundations on Operational Semantics of Higher Order ProcessesFor the computational calculus proposed in (1), we have carried out the following items with their results :(a) Equivalence of Processes :We have given a theory on equivalence of higher order processes based on their operational semantics.(b) Higher Order Modal System and Model Checking :We have proposed a proof system for the higher oeder process calculus and given the theorems on soundness and completeness. A mechanical model checking method for the system have been given as well.(c) A Type System :We have given a type system for the calculus and discussed its properties.(3) Development of Programming EnvironmentWe have implemented the programming environment for the calculus and applied it to several practical examples.