The book is devoted to a simplified set-theoretic version of denotational semantics where sets are used in place of Scott's reflexive domains and where jumps are described without continuations. This approach has emerged as a reaction to the sophisticated model of traditional semantics. It was also strongly stimulated by the applications of denotational semantics and especially by its software-industry oriented version known as VDM (Vienna Development Method). The new approach was successfully tested on several examples. Based on this approach the Polish Academy of Sciences created the project MetaSoft aimed at the development of a definitional metalanguage for software engineering. The approach has also been chosen in the project RAISE (ESPRIT) which aims at a similar goal. The book consists of two parts. Part One is devoted to the mathematical foundations of the future definitional metalanguage of MetaSoft. This part also introduces an appropriate notation. Part Two shows the applications of this metalanguage. There the denotational definition of a subset of Pascal is discussed with particular emphasis on Pascal types.

This volume presents the proceedings of the 2nd VDM-Europe Symposium held in Dublin, Ireland, September 12-16, 1988. VDM, the Vienna Development Method, is a formal method for software engineering. It is being applied to an increasing number of projects by companies throughout Europe and there is an active international research programme supporting this process. "VDM - The Way Ahead" is the second of a series of symposia sponsored by the Commission of the European Communities (CEC) and organised by VDM-Europe. The term "formal method" refers to mathematically formal software specification and production methods. These methods aim to increase the quality of software in two related ways: by improving the specification and by making verification during the software production process more effective and easier to audit. The symposium proceedings focus on five areas of interest: education and technology transfer, experience and use of VDM, tools and support environments, method development and foundation at work, the standardisation of VDM. The proceedings are of interest to all those concerned with the application of more rigorous approaches to software development and the associated theoretical foundations.

The proceedings of the fourth Vienna Development Method Symposium, VDM'91, are published here in two volumes. Previous VDM symposia were held in 1987 (LNCS 252), 1988 (LNCS 328), and 1990 (LNCS 428). The VDM symposia have been organized by VDM Europe, formed in 1985 as an advisory board sponsored by the Commission of the European Communities. The VDM Europe working group consisted of researchers, software engineers, and programmers, allinterested in promoting the industrial usage of formal methods for software development. The fourth VDM symposium presented not only VDM but also a large number of other methods for formal software development. Volume 1 contains conference contributions. It has four parts: contributions of invited speakers, papers, project reports, and tools demonstration abstracts. The emphasis is on methods and calculi for development, verification and verification tools support, experiences from doing developments, and the associated theoretical problems. Volume 2 contains four introductory tutorials (on LARCH, Refinement Calculus, VDM, and RAISE) and four advanced tutorials (on ABEL, PROSPECTRA, The B Method, and The Stack). They present a comprehensive account of the state of theart.

The art, craft, discipline, logic, practice, and science of developing large-scale software products needs a believable, professional base. The textbooks in this three-volume set combine informal, engineeringly sound practice with the rigour of formal, mathematics-based approaches. Volume 1 covers the basic principles and techniques of formal methods abstraction and modelling. First this book provides a sound, but simple basis of insight into discrete mathematics: numbers, sets, Cartesians, types, functions, the Lambda Calculus, algebras, and mathematical logic. Then it trains its readers in basic property- and model-oriented specification principles and techniques. The model-oriented concepts that are common to such specification languages as B, VDM-SL, and Z are explained here using the RAISE specification language (RSL). This book then covers the basic principles of applicative (functional), imperative, and concurrent (parallel) specification programming. Finally, the volume contains a comprehensive glossary of software engineering, and extensive indexes and references. These volumes are suitable for self-study by practicing software engineers and for use in university undergraduate and graduate courses on software engineering. Lecturers will be supported with a comprehensive guide to designing modules based on the textbooks, with solutions to many of the exercises presented, and with a complete set of lecture slides.

This volume consists of some of the papers that were delivered during the workshop on "Foundations of Logic and Functional Programming" held in Trento, Italy, from December 15th to 19th, 1986. The meeting centered on themes and trends in Functional Programming and in Logic Programming. This book contains five papers contributed by the invited speakers and five selected contributions.

This volume contains the proceedings of the 4th International Conference on Applicable Algebra, Error-Correcting Codes, Combinatorics and Computer Algebra (AAECC-4), held in Karlsruhe, 23-26 September, 1986. Selected papers which were given at the conference have been reviewed a second time and are presented here.

This volume contains the papers presented at the Ninth International Conference on Automated Deduction (CADE-9) held May 23-26 at Argonne National Laboratory, Argonne, Illinois. The conference commemorates the twenty-fifth anniversary of the discovery of the resolution principle, which took place during the summer of 1963. The CADE conferences are a forum for reporting on research on all aspects of automated deduction, including theorem proving, logic programming, unification, deductive databases, term rewriting, ATP for non-standard logics, and program verification. All papers submitted to the conference were refereed by at least two referees, and the program committee accepted the 52 that appear here. Also included in this volume are abstracts of 21 implementations of automated deduction systems.

This volume contains the 13 best of the 18 papers presented at the first MFDBS conference held in Dresden, GDR, January 19-23, 1987. A short summary of the two panel discussions is also included. The volume is intended to be a reflection of the current state of knowledge and a guide to further development in database theory. The main topics covered are: theoretical fundaments of the relational data model (dependency theory, design theory, null values, query processing, complexity theory), and of its extensions (graphical representations, NF2-models), conceptual modelling of distributed database management systems and the relationship between logic and databases.

This volume contains the proceedings of the 16th International Symposium on Mathematical Foundations of Computer Science, MFCS '91, held in Kazimierz Dolny, Poland, September 9-13, 1991. The series of MFCS symposia, organized alternately in Poland and Czechoslovakia since 1972, has a long and well established tradition. The purpose of the series is to encourage high-quality research in all branches of theoretical computer science and to bring together specialists working actively in the area. Principal areas of interest in this symposium include: software specification and development, parallel and distributed computing, logic and semantics of programs, algorithms, automata and formal languages, complexity and computability theory, and others. The volume contains 5 invited papers by distinguished scientists and 38 contributions selected from a total of 109 submitted papers.

This volume contains the proceedings of the 13th Colloquium on Trees in Algebra and Programming (CAAP '88), held in Nancy, March 21-24, 1988. The preceding 12 colloquia were held in France, Italy and Germany. CAAP '85 and CAAP '87 were integrated into the International Joint Conference on Theory and Practice of Software Development, TAPSOFT (see Lecture Notes in Computer Science volumes 185 and 249). As another effort to link theory and practice in computer science, CAAP '88 was held in conjunction with the European Symposium on Programming, ESOP '88 (see volume 300 of this Lecture Notes series). CAAP '88 is a conference in the area of program development and programming concepts but, following the tradition, is devoted to theoretical aspects, and especially to Trees, a basic structure of computer science. A wider range of topics in theoretical computer science is also covered. The papers are on word, tree or graph languages, with algorithmic or complexity studies, on abstract data types (another classical topic of CAAP) and/or term rewriting systems and on non-standard logics, and parallelism and concurrency.