Event-Based Semantics of UML 2.X Concurrent Sequence Diagrams for Formal Verification

UML 2.X sequence diagrams(SD)are among privileged scenarios-based approaches dealing with the complexity of modeling the behaviors of some current systems.However,there are several issues related to the standard semantics of UML 2.X SD proposed by the Object Management Group(OMG).They mainly concern ambiguities of the interpretation of SDs,and the computation of causal relations between events which is not specifically laid out.Moreover,SD is a semi-formal language,and it does not support the verification of the modeled system.This justifies the considerable number of research studies intending to define formal semantics of UML SDs.We proposed in our previous work semantics covering the most popular combined fragments(CF)of control-flow ALT,OPT,LOOP and SEQ,allowing to model alternative,optional,iterative and sequential behaviors respectively.The proposed semantics is based on partial order theory relations that permit the computation of the precedence relations between the events of an SD with nested CFs.We also addressed the issue of the evaluation of the interaction constraint(guard)for guarded CFs,and the related synchronization issue.In this paper,we first extend our semantics,proposed in our previous work;indeed,we propose new rules for the computation of causal relations for SD with PAR and STRICT CFs(dedicated to modeling concurrent and strict behaviors respectively)as well as their nesting.Then,we propose a transformational semantics in Event-B.Our modeling approach emphasizes computation of causal relations,guard handling and transformational semantics into Event-B.The transformation of UML 2.X SD into the formal method Event-B allows us to perform several kinds of verification including simulation,trace acceptance,verification of properties,and verification of refinement relation between SDs.     

Concurrency and Refinement in the Unified Modeling Language

This paper shows how a formal notion of refinement may be defined for models, and model components, expressed in the Unified Modeling Language (UML). A formal, behavioural semantics is given to combinations of class, object, and state diagrams, using the notation of Communicating Sequential Processes (CSP); this semantics is adequate for the analysis of concurrent, communicating behaviour, and induces a notion of refinement for UML based upon existing notions of traces and failures refinement for CSP.     

The UML as a formal modeling notation

The Unified Modeling Language (UML) is an Object Management Group (OMG) object-oriented (OO) modeling notation standard. It consists of a set of notations for modeling systems from a variety of views and at varying levels of abstraction. While the UML reflects some of the best OO modeling experiences available, it suffers from a lack of precise semantics that is necessary if one is to use the notations to precisely model systems and to rigorously reason about the models. In this paper we discuss some of the problems with the current UML semantic document and present the approach that the precise UML group (pUML) group is using to develop a precise semantics for the UML. The approach utilizes mathematical techniques to explore and gain insights into appropriate semantics for UML modeling concepts. The insights and formal expressions will then be used to develop a UML semantics document written in natural language that defines the semantics in a precise, consistent, and understandable manner.     

Concurrency and Refinement in the Unified Modeling Language

This paper defines a formal semantics for a subset of the Unified Modeling Language (UML). It shows how suitable combinations of class, object, state, and sequence diagrams can be associated with patterns of interaction, expressed in the event notation of Communicating Sequential Processes (CSP). The diagram semantics is then extended to give a meaning to complete models – suitable combinations of diagrams – and thus a concurrency semantics for object models written in UML. This model semantics is in turn used to define a theory of refinement, based upon existing notions of data and process refinement.     

An integrated semantics for reasoning about SysML design models using refinement

SysML is a variant of UML for systems design. Several formalisations of SysML (and UML) are available. Our work is distinctive in two ways: a semantics for refinement and for a representative collection of elements from the UML4SysML profile (blocks, state machines, activities, and interactions) used in combination. We provide a means to analyse and refine design models specified using SysML. This facilitates the discovery of problems earlier in the system development lifecycle, reducing time, and costs of production. Here, we describe our semantics, which is defined using a state-rich process algebra and implemented in a tool for automatic generation of formal models. We also show how the semantics can be used for refinement-based analysis and development. Our case study is a leadership-election protocol, a critical component of an industrial application. Our major contribution is a framework for reasoning using refinement about systems specified by collections of SysML diagrams.     

UML活动图的操作语义

越来越多的系统采用UML（unified model language,统一建模语言）作为建模语言来进行系统分析和设计.UML活动图是UML语言中描述系统动态行为的一种方法,它广泛地运用于业务建模.由于UML活动图缺乏精确的动态语义,所以不利于对其所描述的系统进行形式化的分析、验证和确认.为解决这一问题,根据UML1.5语义文档,给出UML活动图的形式化操作语义.首先给出UML活动图的形式化的语法,然后详细地定义了活动图的格局和变迁,最后基于LTS给出了活动图的演绎规则.主要工作是：引入状态包的概念,使得描述更加清楚、完善;通过LTS定义活动图的操作语义,并详细阐述演绎规则,从而获得活动图的全局状态转移图,使定义的操作语义很容易地应用到形式化验证中.该语义覆盖了UML活动图的绝大部分特征,为对UML活动图进行模型检验奠定了基础.     

UML活动图描述工作流模型的执行语义

UML是软件工程中广泛应用的建模语言,但其主要问题是缺少严格的形式化语义,因而描述的模型容易产生歧义．根据UML活动图的语法和工作流系统的特点,为UML活动图定义了一种执行语义．基于时间转变系统模型,将工作流系统的执行描述为时间转变和数据转变两个交替进行的过程．时间转变描述时间的前进,数据转变修改工作流案例的状态,这种语义比层次状态图具有更强的描述并行的能力,比Petri网和进程代数更适合描述工作流模型．     

Clock constraint specification language: specifying clock constraints with UML/MARTE

The Object Management Group (OMG) unified modeling language (UML) profile for modeling and analysis of real-time and embedded systems (MARTE) aims at using the general-purpose modeling language UML in the domain of real-time and embedded (RTE) systems. To achieve this goal, it is absolutely required to introduce inside the mainly untimed UML an unambiguous time structure which MARTE model elements can rely on to build precise models amenable to formal analysis. The MARTE Time model has defined such a structure. We have also defined a non-normative concrete syntax called the clock constraint specification language (CCSL) to demonstrate what can be done based on this structure. This paper gives a brief overview of this syntax and its formal semantics, and shows how existing UML model elements can be used to apply this syntax in a graphical way and benefit from the semantics.     

UML Statechart图的操作语义

面向对象标准建模语言UML(unified modeling language)缺乏精确的动态语义.根据UML1.1语义文档,提出描述对象状态机的UML Statechart图的形式化操作语义.该语义覆盖了UML Statechart图的绝大部分特征,为UML Statechart图的代码产生、模拟和测试用例生成奠定了基础.根据上述语义,基于Rose98完成了UML Statechart图的测试用例生成和测试过程的模拟.     

将UML模型转换成SDL模型的方法

提出了一种将UML模型转换成SDL模型的方法.UML是一种优秀的建模语言,使用UML可以为协议建立模型带来很多方便.但是,UML缺乏形式化语义,因此不能满足协议精确性的要求.SDL是一种用于通信软件规格的标准语言,它拥有形式化语义,而且有很多商业软件都支持它.在协议设计和开发中,将UML模型转换成SDL模型可以克服这样的缺点.通过为UML制作适当的profile,并制定严格的转换规则可以实现模型的转换.     

UML活动图的时序逻辑语义

UML活动图可以表示不同抽象级的控制流,很适合用于对系统的行为建模．但是缺乏精确的语义使得难以对它所表示的系统行为进行分析．XYZ／E是一可执行线性时序逻辑语言,既可描述系统的动态行为又可表示程序性质,用它对活动图形式化后,就可在统一的逻辑框架下分析活动图的性质．定义了一个有向图结构用以表示UML活动图,再给出其XYZ／E语义,并用一个例子说明活动图到XYZ／E的语义转换,为进一步的分析提供形式化基础．     

基于UML的嵌入式系统模型验证机制的研究

随着嵌入式系统在各个领域的广泛应用,嵌入式系统变得越来越复杂,研究一种支持嵌入式系统从分析、设计、验证到编码这一整个开发过程的模型系统及建模方法变得越来越重要。UML(UnifiedModelingLanguage,统一建模语言)作为面向对象的分析与设计技术的代表,已经获得了广泛的承认,并在多个领域中有成功的应用。然而,UML是一种符号化语言系统,其语义采用自然语言描述,没有完全形式化,无法精确和严格地描述模型的行为从而实现模型的验证。为了解决这个问题,文章提出了一种用于嵌入式系统UML模型验证的方法,其核心是可执行(Executable)UML,它是UML的增强性子集,采用与UML相同的符号表示法,并集成了状态图(StateChart)所用的形式化语义定义。嵌入式系统的UML模型经过语义分析能够很方便地生成可执行UML模型,并实现系统模型的验证。     

一种基于面向侧面技术的并发式软件建模方法

基于面向侧面（Aspect-Oriented）技术及统一建模语言状态图提出了并发式软件系统开发过程中横切特性的建模方法。本方法将并发软件系统的业务逻辑和横切行为分别封装到复合状态的不同正交区域中，并通过事件广播机制反映二者的交互关系。同时，以模块化的状态迁移系统 （Modular Transition System）作为基本计算模型，对该建模方法进行形式化描述，给出了模型元素及建模过程的精确语义。实例研究表明，该方法在并发软件设计阶段实现了横切关注点的分离策略，并使得系统模型具有松耦合、适应性和可跟踪性的优点。     

UML Statecharts的模型检验方法

统一建模语言UML已广泛应用于软件开发中,验证UML模型是否满足某些关键性质成为一个重要问题.提出了对UML Statecharts进行模型检验的方法.首先用扩展层次自动机结构化地表示UML Statecharts,然后给出其操作语义,通过寻找最大无冲突迁移集可以保证语义的正确性.对于具有无穷运行的系统,该操作语义可以映射到一个Büchi自动机.使用基于自动机理论的模型检验方法来验证UML Statecharts的线性时态逻辑性质,并给出方法验证由Statecharts和协同图建模的复杂多对象系统.     

UML类图的形式化及分析

统一建模语言(UML)是一种通用的图形化建模语言,在面向对象系统的分析和设计中,它已成为事实上的工业标准。但是UML不是形式化的建模语言,缺乏精确的语义描述,因此会导致一些问题。Z是一种广泛使用的形式化规约语言,Z适合用来精确地表示模型的语法和语义。文章采用Z符号来表示UML类图的组成元素的语法和语义及其映射关系,最后对UML类图的一些性质进行分析和验证。     

面向方面的UML建模

为了解决软件开发中建模对于系统级关注点被忽略的问题,提出了面向方面的UML建模模型。对面向方面技术和UML进行全面介绍,使其了解它们的主要构成及参数,并基于AspectJ语言扩展UML中的特征文件(profile),来实现面向方面UML建模(AUML)。该扩展是UML体系的一种扩充,它既结合了UML面向对象的特点,又对面向方面横切关注点在语义和结构上进行了规范。最后就图书管理系统进行举例说明,总结了面向方面软件开发(AOSD)profile的参数。     

VPM: A visual,precise and multilevel metamodeling framework for describing mathematical domains and UML (The Mathematics of Metamodeling is Metamodeling Mathematics)

As UML 2.0 is evolving into a family of languages with individually specified semantics, there is an increasing need for automated and provenly correct model transformations that (i) assure the integration of local views (different diagrams) of the system into a consistent global view, and, (ii) provide a well-founded mapping from UML models to different semantic domains (Petri nets, Kripke automaton, process algebras, etc.) for formal analysis purposes as foreseen, for instance, in submissions for the OMG RFP for Schedulability, Performance and Time. However, such transformations into different semantic domains typically require the deep understanding of the underlying mathematics, which hinders the use of formal specification techniques in industrial applications. In the paper, we propose a multilevel metamodeling technique with precise static and dynamic semantics (based on a refinement calculus and graph transformation) where the structure and operational semantics of mathematical models can be defined in a UML notation without cumbersome mathematical formulae.     

Towards a Formal Semantics for UML/MARTE State Machines Based on Hierarchical Timed Automata

UML is a widely-used,general purpose modeling language.But its lack of a rigorous semantics forbids the thorough analysis of designed solution,and thus precludes the discovery of significant problems at design time.To bridge the gap,the paper investigates the underlying semantics of UML state machine diagrams,along with the time-related modeling elements of MARTE,the profile for modeling and analysis of real-time embedded systems,and proposes a formal operational semantics based on extended hierarchical timed automata.The approach is exemplified on a simple example taken from the automotive domain.Verification is accomplished by translating designed models into the input language of the UPPAAL model checker.     

基于ASM扩展的活动图进行业务过程建模

为了扩展包括投资者建模、企业建模与扩展价值链建模的Martin／Odell OOA／D方法,该文章使用UML活动图扩展这些技术。UML提供了丰富的标记表示对分析系统行为和系统结构进行分析。其中活动图是用来描述系统的动态行为,并且也适用于业务过程建模。但由于UML的语义是用纯文本的方式描述的,通常不够准确,故而此文提出了使用ASM扩展语义的活动图描述包含上述建模技术的业务过程。     

基于时序逻辑的UML2.0通信图语义研究

UML2.0通信图可以表示对象之间的交互,很适合用于对系统的交互行为建模,但由于UML缺乏精确语义,使得难以对其所表示的系统行为进行分析和验证.XYZ/E是可执行线性时序逻辑语言,既可描述系统的静态语义和动态语义.在定K.UML2.0通信图的形式化语法的基础上,给出了通信图的XYZ/E时序逻辑语义,为进一步的系统分析和验证提供了形式化基础.