Fault Detection and Diagnosis in Distributed Systems: An Approach by Partially Stochastic Petri Nets

We address the problem of alarm correlation in large distributed systems. The key idea is to make use of the concurrence of events in order to separate and simplify the state estimation in a faulty system. Petri nets and their causality semantics are used to model concurrency. Special partially stochastic Petri nets are developed, that establish some kind of equivalence between concurrence and independence. The diagnosis problem is defined as the computation of the most likely history of the net given a sequence of observed alarms. Solutions are provided in four contexts, with a gradual complexity on the structure of observations.     

UML2.0顺序图的形式化研究

在UML2.0规范中顺序图的语义仍然是以自然语言的形式描述的,为实现对顺序图的自动化分析和验证,必须为顺序图定义一种形式化的语义模型.为此首先给出了UML顺序图的一种符合BNF范式的形式化语法,然后为该语法中的非终止符定义转换规则,将UML顺序图中的基本动作转换为加标Petri网组件,最后定义了各种合成操作,利用这些合成操作可以将UML顺序图的加标Petri网组件转换为加标Petni网.     

simpA: An agent-oriented approach for programming concurrent applications on top of Java

More and more aspects of concurrency and concurrent programming are becoming part of mainstream programming and software engineering, due to several factors such as the widespread availability of multi-core/parallel architectures and Internet-based systems. This leads to the extension of mainstream object-oriented programming languages and platforms-Java is a main example-with libraries providing fine-grained mechanisms and idioms to support concurrent programming, in particular for building efficient programs. Besides this fine-grained support, a main research goal in this context is to devise higher-level, coarse-grained abstractions that would help building concurrent programs, as pure object-oriented abstractions help building large component-based programs. To this end, in this paper we present simpA, a Java-based framework that provides programmers with agent-oriented abstractions on top of the basic OO layer, as a means to organize and structure concurrent applications. We first describe the application programming interface (API) and annotation framework provided to Java programmers for building simpA applications, and then we discuss the main features of the approach from a software engineering point of view, by showing some programming examples. Finally, we define an operational semantics formalizing the main aspects of this programming model.     

Actor languages their syntax, semantics, translation, and equivalence

In this paper we present two actor languages and a semantics preserving translation between them. The source of the translation is a high-level language that provides object-based programming abstractions. The target is a simple functional language extended with basic primitives for actor computation. The semantics preserved is the interaction semantics of actor systems — sets of possible interactions of a system with its environment. The proof itself is of interest since it demonstrates a methodology based on the actor theory framework for reasoning about correctness of transformations and translations of actor programs and languages and more generally of concurrent object languages.     

Fundamental properties of infinite trees

Infinite trees naturally arise in the formalization and the study of the semantics of programming languages. This paper investigates some of their combinatorial and algebraic properties that are especially relevant to semantics.This paper is concerned in particular with regular and algebraic infinite trees, not with regular or algebraic sets of infinite trees. For this reason most of the properties stated in this work become trivial when restricted either to finite trees or to infinite words.It presents a synthesis of various aspects of infinite trees, investigated by different authors in different contexts and hopes to be a unifying step towards a theory of infinite trees that could take place near the theory of formal languages and the combinatorics of thefree monoid.     

Well-structured languages

This paper introduces the notion of well-structured language. A well-structured language can be defined by a labelled well-structured transition system, equipped with an upward-closed set of accepting states. That peculiar class of transition systems has been extensively studied in the field of computer-aided verification, where it has direct an important applications. Petri nets, and their monotonic extensions (like Petri nets with non-blocking arcs or Petri nets with transfer arcs), for instance, are special subclasses of well-structured transition systems. We show that the class of well-structured languages enjoy several important closure properties. We propose several pumping lemmata that are applicable respectively to the whole class of well-structured languages and to the classes of languages recognized by Petri nets or Petri nets with non-blocking arcs. These pumping lemmata allow us to characterize the limits in the expressiveness of these classes of language. Furthermore, we exploit the pumping lemmata to strictly separate the expressive power of Petri nets, Petri nets with non-blocking arcs and Petri nets with transfer arcs.     

A Petri Net Semantics of a Simple Process Algebra for Mobility

In this paper, we propose a structural translation of terms from a simple variant of the Klaim process algebra into behaviourally equivalent finite high level Petri nets. This yields a formal semantics for mobility allowing one to deal directly with concurrency and causality.     

Petri网替换运算

文中给出了Petri的替换运算定义,它是对分层模拟与逐步求精的Petfi网建模思想方法的一个形式化描述。文中还通过Petri网语言讨论了Petri网的替换运算同语言的替换运算之间的关系,结果表明,这两个从不同角度给出的替换运算在实质意义上是协调的。     

State space analysis of Petri nets with relation-algebraic methods

A large variety of systems can be modelled by Petri nets. Their formal semantics are based on linear algebra which in particular allows the calculation of a Petri net’s state space. Since state space explosion is still a serious problem, efficiently calculating, representing, and analysing the state space is mandatory. We propose a formal semantics of Petri nets based on executable relation-algebraic specifications. Thereupon, we suggest how to calculate the markings reachable from a given one simultaneously. We provide an efficient representation of reachability graphs and show in a correct-by-construction approach how to efficiently analyse their properties. Therewith we cover two aspects: modelling and model checking systems by means of one and the same logic-based approach. On a practical side, we explore the power and limits of relation-algebraic concepts for concurrent system analysis.     

Giving semantics to SA/RT by means of high-level timed Petri nets

In the IPTES project a dual language approach is proposed for overcoming both the problems derived from the use of a user-friendly, high-level, but not-formally-defined language and from a lower-level, formal, but difficult-to-use language. The approach uses a user-friendly, high-level language as user interface and a lower-level, formal language asmachine language. In this way the users can both access the IPTES environment through a nice interface and can profit from non-ambiguity-checks and proofs algorithms based on the formal kernel machine language. The correspondence between the two languages is built-in in the IPTES environment that provides a transparent mapping mechanism that relates the users specifications expressed by means of the high-level interface-language with the formal definitions expressed in the formal machine language.This paper presents the mapping mechanism that relates the current IPTES user interface (SA/RT (Ward and Mellor 1985)) with the IPTES machine language (high-level timed Petri nets (Ghezzi, Mandrioli, Morasca and Pezzé 1991)). As a side effect, it also presents the formal semantics of SA/RT defined by means of high-level timed Petri nets.This material is based upon work supported by the CEC under the ESPRIT program project no. EP5570 IPTES, by the Piano Finalizzato Sistemi Informatici e Calcolo Parallelo (CNR) and by The Technical Development Centre of Finland (TEKES).     

On sets of numbers accepted by P/T systems composed by join

Recently, some studies linked the computational power of abstract computing systems based on multiset rewriting to models of Petri nets and the computation power of these nets to their topology. In turn, the computational power of these abstract computing devices can be understood by just looking at their topology, that is, information flow.Here we continue this line of research by introducing J languages and proving that they can be accepted by place/transition systems whose underlying net is composed only by join. Moreover, we study how J languages relate to other families of formal languages.     

Software modeling and analysis using a hierarchical object-oriented Petri net

Petri net is used widely to analyze and model various systems formally. Recently, many Petri nets mania devote their efforts to enhancing and extending the expressive power of Petri nets. One such effort is to extend Petri nets with object-oriented concepts. An object-oriented paradigm provides excellent concepts to model real-world problems. Object-oriented concepts allow us to build software systems easily, intuitively, and naturally. Although several high-level Petri nets with the concept of objects are suggested, these nets do not fully support the object-oriented concepts. In this paper, we propose a hierarchical object-oriented Petri net (HOONet). The formal syntax and semantics of HOONet are explained in detail. HOONet supports a wide range of object-oriented features including abstract, encapsulated and modularized objects, object interaction by message passing, inheritance, and ploymorphism. HOONet also supports a variety of modeling and analysis mechanisms such as incremental modeling of evolving systems, unfolding the HOONet to lower level Petri net, and incremental reachability analysis for HOONet models. We demonstrate the usefulness of HOONet by applying it to modeling and analysis with an example.     

Compositional semantics of a real-time prototyping language

The formal semantics of a prototyping language for hard real-time systems, PSDL, is given. PSDL provides a data flow notation augmented by application-orientation timing and control constraints to describe a system as a hierarchy of networks of processing units communicating via data streams. The semantics of PSDL are defined in terms of algebraic high-level Petri nets. This formalism combines algebraic specifications of abstract data types with process and concurrency concepts of Petri nets. Its data abstraction facilities are used to define the meaning of PSDL data types, while high-level Petri nets serve to model the casual and timing behavior of a system. The net model exposes potential concurrency of computation and makes all synchronization needs implied by timing and control constraints explicit and precise. Time is treated as state of clocks, and clocks are modeled as ordinary system components. The net semantics provides the basis for applying analysis techniques and semantic tools available for high-level Petri nets     

An Algebraic Hardware/Software Partitioning Algorithm

Hardware and software co-design is a design technique which delivers computer systems comprising hardware and software components.A critical phase of the co-design process is to decompose a program into hardware and software .This paper proposes an algebraic partitioning algorithm whose correctness is verified in program algebra.The authors inroduce a program analysis phase before program partitioning and deveop a collection of syntax-based splitting rules.The former provides the information for moving operations from software to hardware and reducing the interaction between compoents,and th latter supports a compositional approach to program partitioning.     

一种三态加时变迁Petri网的形式化描述与分析

提出一种弱引发规则三态加时变迁Ｐｅｔｒｉ网（简称ＷＴＴＰＮ），它比现有三态加时变迁Ｐｅｔｒｉ网更适于建模分析冲突结构；平行于无时间约束Ｐｅｔｒｉ网，给出了并发意义下ＷＴＴＰＮ的形式化描述与分析框架，据此可对其进行定性分析；证明了ＷＴＴＰＮ与其基网系统关于活性、有界（安全）性和可逆性等价。     

A theory of type polymorphism in programming

The aim of this work is largely a practical one. A widely employed style of programming, particularly in structure-processing languages which impose no discipline of types, entails defining procedures which work well on objects of a wide variety. We present a formal type discipline for such polymorphic procedures in the context of a simple programming language, and a compile time type-checking algorithm $\text{W}$ which enforces the discipline. A Semantic Soundness Theorem (based on a formal semantics for the language) states that well-type programs cannot “go wrong” and a Syntactic Soundness Theorem states that if $\text{W}$ accepts a program then it is well typed. We also discuss extending these results to richer languages; a type-checking algorithm based on $\text{W}$ is in fact already implemented and working, for the metalanguage ML in the Edinburgh LCF system.     

A unifying approach to goal-directed evaluation

Goal-directed evaluation, as embodied in Icon and Snobol, is built on the notions of backtracking and of generating successive results, and therefore it has always been something of a challenge to specify and implement. In this article, we address this challenge using computational monads and partial evaluation. We consider a subset of Icon and we specify it with a monadic semantics and a list monad. We then consider a spectrum of monads that also fit the bill, and we relate them to each other. For example, we derive a continuation monad as a Church encoding of the list monad. The resulting semantics coincides with Gudeman’s continuation semantics of Icon. We then compile Icon programs by specializing their interpreter (i.e., by using the first Futamura projection), using type-directed partial evaluation. Through various back ends, including a run-time code generator, we generate ML code, C code, and OCaml byte code. Binding-time analysis and partial evaluation of the continuation-based interpreter automatically give rise to C programs that coincide with the result of Proebsting’s optimized compiler. Basic Research in Computer Science (www.brics. dk), funded by the Danish National Research Foundation. Olivier Danvy, Ph.D., Habilitation: He is an Associate Professor at the Department of Computer Science at the University of Aarhus, in Denmark. He obtained his Ph.D. degree in 1986 and his Habilitation in 1993 from the Université Pierre et Marie Curie (Paris VI), France. His research interests are in Programming Languages in general and in Partial Evaluation and Continuations in particular. He has published over 75 refereed research papers and edited several proceedings. He has both served on and chaired program committees of scientific meetings in the area of Programming Languages. He is presently chairing the PEPM steering committee at ACM SIGPLAN and serving as external reviewer in computer science for the Danish Universities, as board member in the BRICS PhD School, and as co-Editor-in-Chief of the journal Higher-Order and Symbolic Computation (http://www.wkap.nl/journals/hosc). Bernd Grobauer, M.Sc.: He is a Ph.D. student at the BRICS International Ph.D. school, University of Aarhus, Denmark, and will graduate in the summer of 2001. He obtained his Masters degree from the Munich University of Technology (TUM), Germany. His research interests are in formal methods (especially theorem proving) and programming languages (semantics of programming languages, program analysis, program transformation, types). He serves as editorial assistant for the journal Higher-Order and Symbolic Computation and as chairman of the BRICS Juniorklubben. Morten Rhiger, M.Sc.: He is a Ph.D. student at the BRICS International Ph.D. school, University of Aarhus, Denmark, and will graduate in the summer of 2001. He obtained his Masters degree from the University of Aarhus in 1998. His research interests are in the semantics and implementation of programming languages.     

Modeling and analysis of the behavior of information systems

Many widely used specification techniques for information systems are based on a hierarchy of information flow diagrams. A method is introduced which preserves the benefits of these techniques and adds the precision of the Petri net formalism. Information-flow diagram hierarchies are formalized by notions of net theory. The bottom-level nets of a hierarchy are treated as Petri nets. The behavior model of the information system is the Petri net derived by repeatedly replacing each part of a net by its associated refinement. As a prerequisite for such replacements, the data abstractions relation information flows of different level are specified by a semantic hierarchy data model. The nets in the hierarchy are appended by dynamic counterparts of the abstractions so that a consistent replacement becomes possible. The interface behavior of the nets in the hierarchy is analyzed, using the concept of behavior constraints as a formal measure of correct interface behavior. The behavior model can be derived in an iterative bottom-up way by first analyzing a net for fulfillment of its associated behavior constraint and afterward integrating it into the next-higher-level net     

A formal semantics of nested atomic sections with thread escape

The multi-core trend is widening the gap between programming languages and hardware. Taking parallelism into account in the programs is necessary to improve performance. Unfortunately, current mainstream programming languages fail to provide suitable abstractions to do so. The most common pattern relies on the use of mutexes to ensure mutual exclusion between concurrent accesses to a shared memory. However, this model is error-prone and scales poorly by lack of modularity. Recent research proposes atomic sections as an alternative. The user simply delimits portions of code that should be free from interference. The responsibility for ensuring interference freedom is left either to the compiler or to the run-time system.In order to provide enough modularity, it is necessary that both atomic sections could be nested and threads could be forked inside an atomic section. In this paper we focus on the semantics of programming languages providing these features. More precisely, without being tied to a specific programming language, we consider program traces satisfying some basic well-formedness conditions. Our main contribution is the precise definition of atomicity, well-synchronisation and the proof that the latter implies the strong form of the former. A formalisation of our results in the Coq proof assistant is described.