A Refinement Strategy for Circus

We present a refinement strategy for Circus, which is the combination of Z, CSP, and the refinement calculus in the setting of Hoare and Hes unifying theories of programming. The strategy unifies the theories of refinement for processes and their constituent actions, and provides a coherent technique for the stepwise refinement of concurrent and distributed programs involving rich data structures. This kind of development is carried out using Circuss refinement calculus, and we describe some of its laws for the simultaneous refinement of state and control behaviour, including the splitting of a process into parallel subcomponents. We illustrate the strategy and the laws using a case study that shows the complete development of a small distributed program.     

A UTP approach for rTiMo

rTiMo is a real-time version of  TiMo (Timed Mobility), which is a process algebra for mobile distributed systems. In this paper, we investigate the denotational semantics for rTiMo. A trace variable tr is introduced to record the communications among processes as well as the location where the communication action takes place. Based on the formalized model, we study a set of algebraic laws, especially the laws about the migration and communication with real-time constraints. In order to facilitate the algebraic reasoning about the parallel expansion laws, we enrich rTiMo with a form of guarded choice. This can enable us to convert every parallel program to the guarded choice form. Moreover, we also provide a set of proof rules, which can be used to verify the correctness and real-time properties of programs.     

A denotational semantics for Handel-C

We present a denotational semantics for a fully functional subset of the Handel-C hardware compilation language (Celoxica Ltd., Handel-C Language Reference Manual, v3.0, 2002, ), based on the concept of typed assertion traces. We motivate the choice of semantic domains by illustrating the complexities of the behaviour of the language, paying particular attention to the prialt (priority-alternation) construct of Handel-C. We then define the typed assertion traces over an abstract notion of actions, and demonstrate key properties of the key semantic operations on these. The denotational semantics is then given using traces with actions instantiated as state-transformers.     

A set-theoretic semantics for Clear

Summary A semantics for the Clear specification language is given. The language of set theory is employed to present constructions corresponding to Clear's specification-combining operations, which are then used as the basis for a denotational semantics. This is in contrast to Burstall and Goguen's 1980 semantics which described the meanings of these operations more abstractly via concepts from category theory.     

A semantics for Fuzzy Logic

 We present a semantics for certain Fuzzy Logics of vagueness by identifying the fuzzy truth value an agent gives to a proposition with the number of independent arguments that the agent can muster in favour of that proposition. Received: 25 February 1997 / Accepted: 12 March 1997     

A semantics for speech acts

Speech act theory is important not only in Linguistics, but also in Computer Science. It has applications in Distributed Computing, Distributed Artificial Intelligence, Natural Language Processing, and Electronic Data Interchange protocols. While much research into speech acts has been done, one aspect of them that has largely been ignored is their semantics, i.e. their conditions of satisfaction. A formal semantics for speech acts is motivated and presented here that relates their satisfaction to the intentions, know-how, and actions of the participating agents. This makes it possible to state several potentially useful constraints on communication and provides a basis for checking their consistency. An earlier version of this paper was presented at the Second Meeting on the Mathematics of Language, Tarrytown, NY, May 1991. Some parts of this paper overlap with [23]. This research was supported by the National Science Foundation (through Grant No. IRI-8945845 to the Center for Cognitive Science, University of Texas, Austin) and by the Microelectronics and Computer Technology Corporation, Austin. The author is indebted to the anonymous referees for comments.     

A multi-tier semantics for Hop

Hop is a multi-tier programming language where the behavior of interacting servers and clients are expressed by a single program. Hop adheres to the standard web programming style where servers elaborate HTML pages containing JavaScript code. This JavaScript code responds locally to user’s interactions but also (following the so-called Ajax style) requests services from remote servers. These services bring back new HTML fragments containing additional JavaScript code replacing or modifying the state of the client. This paper presents a continuation-based denotational semantics for a sequential subset of Hop. Though restricted to a single server and a single client, this semantics takes into account the key feature of Hop namely that the server elaborates client code to be run in the client’s browser. This new client-code dynamically requests services from the server which, again, elaborate new client code to be run in the client’s browser. This semantics details the programming model advocated by Hop and provides a sound basis for future studies such as security of web applications and web continuations.     

A Fixpoint Semantics for Stratified Databases

Przmusinski extended the notion of stratified logic programs,developed by Apt,Blair and Walker,and by van Gelder,to stratified databases that allow both negative premises and disjunctive consequents.However,he did not provide a fixpoint theory for such class of databases.On the other hand,although a fixpoint semantics has been developed by Minker and Rajasekar for non-Horn logic programs,it is tantamount to traditional minimal model semantics which is not sufficient to capture the intended meaning of negation in the premises of clauses in stratified databases.In this paper,a fixpoint approach to stratified databases is developed,which corresponds with the perfect model semantics.Moreover,algorithms are proposed for computing the set of perfect models of a stratified database.     

A structured operational semantics for UML-statecharts

The Unified Modeling Language (UML) has gained wide acceptance in very short time because of its variety of well-known and intuitive graphical notations. However, this comes at the price of an unprecise and incomplete semantics definition. This insufficiency concerns single UML diagram notations on their own as well as their integration. In this paper, we focus on the notation of UML-statecharts. Starting with a precise textual syntax definition, we develop a precise structured operational semantics (SOS) for UML-statecharts. Besides the support of interlevel transitions and in contrast to related work, our semantics definition supports characteristic UML-statechart features like the history mechanism as well as entry and exit actions. Initial submission: 19 February 2002 / Revised submission: 28 October 2002 Published online: 2 December 2002     

A semantics for web services authentication

We consider the problem of specifying and verifying cryptographic security protocols for XML web services. The security specification WS-Security describes a range of XML security elements, such as username tokens, public-key certificates, and digital signatures, amounting to a flexible vocabulary for expressing protocols. To describe the syntax of these elements, we extend the usual XML data model with symbolic representations of cryptographic values. We use predicates on this data model to describe the semantics of security elements and of sample protocols distributed with the Microsoft WSE implementation of WS-Security. By embedding our data model within Abadi and Fournet's applied pi calculus, we formulate and prove security properties with respect to the standard Dolev–Yao threat model. Moreover, we informally discuss issues not addressed by the formal model. To the best of our knowledge, this is the first approach to the specification and verification of security protocols based on a faithful account of the XML wire format.     

A continuous semantics for unbounded nondeterminism

Nondeterminism is introduced into an ordinary iterative programming language by treating procedure calls as nondeterministic assignment statements. The effect of such assignment statements is assumed to be determined solely by the entry-exit specifications of the corresponding procedures. The nondeterminism which this approach yields is not necessarily bounded. The paper discusses the problem of defining a denotational semantic for programming languages with this kind of, possibly unbounded, nondeterminism. As an additional constraint, the semantics is required to be continuous, in the sense that the underlying semantic algebra is continuous. It is shown how such a continuous semantics for unbounded nondeterminism can be derived from a simple operational semantics based on program execution trees.     

A differential semantics for jointree algorithms

A new approach to inference in belief networks has been recently proposed, which is based on an algebraic representation of belief networks using multi-linear functions. According to this approach, belief network inference reduces to a simple process of evaluating and differentiating multi-linear functions. We show here that mainstream inference algorithms based on jointrees are a special case of the approach based on multi-linear functions, in a very precise sense. We use this result to prove new properties of jointree algorithms. We also discuss some practical and theoretical implications of this new finding.     

A trajectory-based strict semantics for program slicing

We define a program semantics that is preserved by dependence-based slicing algorithms. It is a natural extension, to non-terminating programs, of the semantics introduced by Weiser (which only considered terminating ones) and, as such, is an accurate characterisation of the semantic relationship between a program and the slice produced by these algorithms.Unlike other approaches, apart from Weiser’s original one, it is based on strict standard semantics which models the ‘normal’ execution of programs on a von Neumann machine and, thus, has the advantage of being intuitive. This is essential since one of the main applications of slicing is program comprehension. Although our semantics handles non-termination, it is defined wholly in terms of finite trajectories, without having to resort to complex, counter-intuitive, non-standard models of computation. As well as being simpler, unlike other approaches to this problem, our semantics is substitutive. Substitutivity is an important property because it greatly enhances the ability to reason about correctness of meaning-preserving program transformations such as slicing.     

A cognitive semantics for the association construct

The unified modelling language (UML), besides its traditional use in describing software artifacts, is increasingly being used for conceptual modelling, the activity of describing an application domain. For models to be clear and unambiguous, every construct of the modelling language must have well-defined semantics, which is its mapping to elements of the semantic domain. When used for conceptual modelling, the semantic domain of UML is the application domain, as perceived by the modeller. Modellers perceive and structure their perceptions using cognitive concepts. This paper proposes a mapping of the UML association construct to those concepts. Implications for the use of the association construct for conceptual modelling are derived, a UML profile for conceptual modelling is presented, along with the results of a case study using the semantics and profile.

A procedural semantics for stratified database updates

This paper investigates efficient evaluation of database updates and presents a procedural semantics for stratified update programs that extend stratified logic programs with bulk updates and hypothetical reasoning. Bulk rules with universal quantification in the body allow an arbitrary update to be applied simultaneously for every answer of an arbitrary query. Hypothetical reasoning is supported by testing the success or failure of an update. The procedural semantics offers efficient goal-oriented tabled evaluation of database updates. It guarantees termination for function-free stratified update programs and avoids repeated computation of identical subgoals. This revised version was published online in June 2006 with corrections to the Cover Date.