Enabledness and termination in refinement algebra

Refinement algebras are abstract algebras for reasoning about programs in a total correctness framework. We extend a reduct of von Wright’s demonic refinement algebra with two operators for modelling enabledness and termination of programs. We show how the operators can be used for expressing relations between programs and apply the algebra to reasoning about action systems.     

On the analysis of nonlinear nilpotent switched systems using the Hall–Sussmann system

We consider an open problem on the stability of nonlinear nilpotent switched systems posed by Daniel Liberzon. Partial solutions to this problem were obtained as corollaries of global nice reachability results for nilpotent control systems. The global structure is crucial in establishing stability. We show that a nice reachability analysis may be reduced to the reachability analysis of a specific canonical system, the nilpotent Hall–Sussmann system. Furthermore, local nice reachability properties for this specific system imply global nice reachability for general nilpotent systems. We derive several new results revealing the elegant Lie-algebraic structure of the nilpotent Hall–Sussmann system.     

基于格结构的概念代数研究

近年来,概念格作为一种有效的概念分析、表示与应用模型,被越来越多的领域所应用。概念代数是在概念 格理论基础上提出的一种新的代数系统。目前,概念代数系统还只是雏形,很多方面的内容还需要扩展与进一步的研 究。基于格结构的概念代数研究分别对Nilsson概念代数、Wille概念代数和认知信息学中的概念代数的基本概念与 内容进行了介绍,对各方法进行了分析与比较,并证明Nilsson概念代数是一种广义概念代数,为进一步的应用与研 究提供支持。     

在Mathematica环境下实现交互式矩阵初等变换

在Mathematica7.0环境下,实现了交互式矩阵初等变换。使用时只需选择矩阵初等变换的类型,并输入相应的变换参数,即可完成相应的初等变换并以可视化的方式显示矩阵初等变换的步骤及结果。在线性代数的教学中采用此交互式矩阵初等变换,可以在课堂中随时改变实例并进行演示来提高多媒体教学内容的灵活性。     

Dynamic consistency in process algebra: From Paradigm to ACP

The coordination modelling language Paradigm addresses collaboration between components in terms of dynamic constraints. Within a Paradigm model, component dynamics are consistently specified at various levels of abstraction. The operational semantics of Paradigm is given. For a large, general subclass of Paradigm models a translation into process algebra is provided. Once expressed in process algebra, relying on a correctness result, Paradigm models are amenable to process algebraic reasoning and to verification via the mCRL2 toolset. Examples of a scheduling problem illustrate the approach.     

From individuals to populations: A mean field semantics for process algebra

A new semantics in terms of mean field equations is presented for WSCCS (Weighted Synchronous Calculus of Communicating Systems). The semantics captures the average behaviour of the system over time, but without computing the entire state space, therefore avoiding the state space explosion problem. This allows easy investigation of models with large numbers of components. The new semantics is shown to be equivalent to the standard Discrete Time Markov Chain semantics of WSCCS as the number of processes tends to infinity. The method of deriving the semantics is illustrated with examples drawn from biology and from computing.     

On the axiomatizability of priority II

This paper contributes to the study of the equational theory of the priority operator of Baeten, Bergstra and Klop in the setting of the process algebra BCCSP. It is shown that, in the presence of at least two actions, the collection of process equations over BCCSP with the priority operator that are valid modulo bisimilarity, irrespective of the chosen priority order over actions, is not finitely based. This holds true even if one restricts oneself to the collection of valid process equations that do not contain occurrences of process variables.     

并行计算通信库测试方法研究及实践

并行计算通信库的测试在并行计算系统中起着重要的作用.对通信库的测试一般都是通过设计一些测试程序对库的各个或几个部分分别进行单独隔离测试.但是有许多库中的错误用这种隔离测试方法测不出来,只有当库的多个部分以某种复杂的、有机的方式组合运行时才会暴露出来.而这种复杂的、有机的组合方式,从设计库的测试角度看很难形成.提出两种新的测试方法,根据通信库结构的分层特性,利用可移植的上层库的测试程序来测试下层库.上层库的测试程序也可看做是下层库的应用程序,但与一般的下层库应用程序不同,它几乎覆盖了下层库的各个部分,且有机地将它们组合起来,运行时形成某种复杂的形态,而仅用下层库的测试程序往往达不到这种形态.这样,逃过下层库测试程序的错误就可能暴露出来.