Abstract. Heterogeneous specification becomes more and more important because complex systems are often specified using multiple viewpoints, involving multiple formalisms. Moreover, a formal software development process may lead to a change of formalism during the development. However, current research in integrated formal methods only deals with ad-hoc integrations of different formalisms. The heterogeneous tool set (Hets) is a parsing, static analysis and proof management tool combining various such tools for individual specification languages, thus providing a tool for heterogeneous multi-logic specification. Hets is based on a graph of logics and languages (formalized as so-called institutions), their tools, and their translations. This provides a clean semantics of heterogeneous specification, as well as a corresponding proof calculus. For proof management, the calculus of development graphs (known from other large-scale proof management systems) has been adapted to heterogeneous specification. Development graphs provide an overview of the (heterogeneous) specification module hierarchy and the current proof state, and thus may be used for monitoring the overall correctness of a heterogeneous development. 1

SWIM is a semantic wiki for collaboratively building, editing and browsing mathematical knowledge represented in the structural markup language OMDOC. It has been designed to enable groups of scientists to develop new mathematical theories in OMDOC and to enable scholars to browse such a corpus. After a short introduction to semantic wikis and their usefulness for mathematical knowledge, this article presents the architecture and the user interface of the current SWIM prototype and outlines the plans for developing its successor, an ontology-based platform for semantic scientific services that exploit the knowledge and make it accessible to the user. 1

This paper describes the general concept of Route Graphs, to be used for navigation by various agents in a variety of scenarios. We introduce the concept of an ontology and describe the modelling of general graphs as an example. This approach is then applied to define a “light-weight ” ontology of Route Graphs in an indoors environment, giving at first just a taxonomy of (sub)classes and relations between them, as well as to other (spatial) ontologies. Finally, we show how to formalise ontologies using a First Order Logic approach, and give an outline of how to develop actual data structures and algorithms for Route Graphs.

Abstract. We propose an infrastructure for collaborative content management and version control for structured mathematical knowledge. This will enable multiple users to work jointly on mathematical theories with minimal interference. We describe the API and the functionality needed to realize a cvs-like version control and distribution model. This architecture extends the cvs architecture in two ways, motivated by the specific needs of distributed management of structured mathematical knowledge on the Internet. On the one hand the one-level client/server model of cvs is generalized to a multi-level graph of client/server relations, and on the other hand the underlying change-detection tools take the math-specific structure of the data into account. 1

Software certification demonstrates the reliability and safety of software systems in such a way that it can be checked by an independent authority with minimal trust in the techniques and tools used in the certification process itself. It builds on existing software assurance, validation, and verification techniques but introduces the notion of

International University Bremen,

Abstract. Due to their rapidly increasing amount, maintaining mathematical documents more and more becomes an engineering task. In this paper, we combine the projects MMiSS 3 and CDET. 4 That way, we achieve major benefits for mathematical knowledge management: (1) Semantic annotations relate mathematical constructs. This reaches beyond mathematics and thus fosters integration of mathematical content into a broader context. (2) Fine-grained version control enables change management and configuration management. (3) Semi-formal consistency management identifies violations of user-defined consistency requirements and proposes how they can be best resolved. 1

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In the context of an evolutionary formal software development methodology that works by applying predefined basic transformations to specifications and associated proofs [10], this paper addresses the details of the effects that one particular class of basic transformations has on proofs: we consider transformations that change (sub-)formulae in axioms or theorems and show how the corresponding transformations extend to proofs.

The aim of the MMiSS project is the construction of a multimedia Internet-based adaptive educational system. Its content will initially cover a curriculum in the area of Safe and Secure Systems. Traditional teaching materials (slides, handouts, annotated course material, assignments, and so on) are to be converted into a new hypermedia format, integrated with tool interactions for formally developing correct software; they will be suitable for learning on campus and distance learning, as well as interactive, supervised, or co-operative self-study.