A static view of localities

This paper proposes alternative, effective characterizations for nets of automata of the location equivalence and preorder presented by Boudol et al. in the companion paper [BCHK]. Contrary to the technical development in the above given reference, where locations are dynamically associated to the subparts of a process in the operational semantics, the equivalence and preorder we propose are based on a static association of locations to the parallel components of a net. Following this static approach, it is possible to give these distributed nets a standard operational semantics which associates with each net a finite labelled transition system. Using this operational semantics for distributed nets, we introduce effective notions of equivalence and preorder which are shown to coincide with those proposed in [BCHK].     

χ-演算与π-演算的语义比较研究

Through the comparison of syntactic structure,operational semantics and algebraic semantics between χ-calculus and π-calculus, this paper concludes that χ-calculus has more succinct syntactic structure,more explicit operational semantics,more intuitionistic algebraic semantics and more favorable algebraic property. And a translation from π-calculus to χ-calculus is presented.     

一个移动进程演算的互模拟同余定义框架

并发计算模型是理论计算机科学研究的重要领域之一。以π演算为代表的移动进程演算是目前并发理论的研究热点。互模拟等价定义是移动进程演算研究中的核心概念和问题，而传名机制使得移动进程演算中的互模拟同余关系更加复杂和有趣。本文在分析了常见的互模拟同余定义的基础上，通过抽取定义的核心要素，提出了一个三维的互模拟同余定义模型，从而将一般文献中常见的互模拟定义纳入到一个统一的框架中来，加深了我们对移动进程演算中互模拟概念的理解；同时本文利用这个模型，系统分析了各种互模拟之阿的关系。模型的优点在于它的普适性和开放性。     

Approximate bisimulation relations for constrained linear systems

In this paper, we define the notion of approximate bisimulation relation between two continuous systems. While exact bisimulation requires that the observations of two systems are and remain identical, approximate bisimulation allows the observations to be different provided the distance between them remains bounded by some parameter called precision. Approximate bisimulation relations are conveniently defined as level sets of a so-called bisimulation function which can be characterized using Lyapunov-like differential inequalities. For a class of constrained linear systems, we develop computationally effective characterizations of bisimulation functions that can be interpreted in terms of linear matrix inequalities and optimal values of static games. We derive a method to evaluate the precision of the approximate bisimulation relation between a constrained linear system and its projection. This method has been implemented in a Matlab toolbox: MATISSE. An example of use of the toolbox in the context of safety verification is shown.     

Presheaf models for CCS-like languages

The aim of this paper is to harness the mathematical machinery around presheaves for the purposes of process calculi. Joyal, Nielsen and Winskel proposed a general definition of bisimulation from open maps. Here we show that open-map bisimulations within a range of presheaf models are congruences for a general process language, in which CCS and related languages are easily encoded. The results are then transferred to traditional models for processes. By first establishing the congruence results for presheaf models, abstract, general proofs of congruence properties can be provided and the awkwardness caused through traditional models not always possessing the cartesian liftings, used in the breakdown of process operations, are side stepped. The abstract results are applied to show that hereditary history-preserving bisimulation is a congruence for CCS-like languages to which is added a refinement operator on event structures as proposed by van Glabbeek and Goltz.     

Processes as formal power series: A coinductive approach to denotational semantics

We characterize must testing equivalence on CSP in terms of the unique homomorphism from the Moore automaton of CSP processes to the final Moore automaton of partial formal power series over a certain semiring. The final automaton is then turned into a CSP-algebra: operators and fixpoints are defined, respectively, via behavioural differential equations and simulation relations. This structure is then shown to be preserved by the final homomorphism. As a result, we obtain a fully abstract compositional model of CSP phrased in purely set-theoretical terms.     

Linearity and bisimulation

Exploiting linear type structure, we introduce a new theory of weak bisimilarity for the π-calculus in which we abstract away not only τ-actions but also non-τ actions which do not affect well-typed observers. This gives a congruence far larger than the standard bisimilarity while retaining semantic soundness. The framework is smoothly extendible to other settings involving nondeterminism and state. As an application we develop a behavioural theory of secrecy in the π-calculus which ensures secure information flow for a strictly greater set of processes than the type-based approach, while still offering compositional verification techniques.     

互模拟准局部验证算法的扩展与实现

互模拟是并发系统的分析和验证的一个重要概念。本文主要扩展了一种由Du和Deng提出的准局部算法,使其更加适用于一般的标记迁移系统。我们用Java实现扩展后的准局部算法与Fernandez和Mounier提出的局部算法。我们以VLTS为实验数据基准,进行大量的实验,发现在大多数情况下,前者的性能比后者更好。同时,我们修改了算法使其能够验证模拟关系。最后,我们用Java实现对标记迁移系统进行转换,使算法同时可以验证弱互模拟关系。     

X—演算与π—演算的语义比较研究

文章通过对Ｘ－演算与π－演算的进程中语法结构、操作语义、代数语义的比较,阐明了Ｘ－演算具有比π－演算更简洁的语法结构,更明确的操作语义、更直观的代数语义、更良好的代数性质,更强大的表达能力。并且给出了一个由π－演算到Ｘ－演算的翻译。     

Bisimilarity enforcing supervisory control for deterministic specifications

This paper studies the supervisory control of nondeterministic discrete event systems to achieve a bisimulation equivalence between the controlled system and the deterministic specification. In particular, a necessary and sufficient condition is given for the existence of a bisimilarity enforcing supervisor, and a polynomial algorithm is developed to verify such a condition. When the existence condition holds, a bisimilarity enforcing supervisor is constructed. Otherwise, two methods are provided for synthesizing supremal feasible sub-specifications.