This Festschrift volume, published in honor of Willem-Paul de Roever, contains 19 detailed papers written by the friends and colleagues of the honoree, all eminent scientists in their own right. These are preceded by a detailed bibliography and rounded off, at the end of the book, with a gallery of photographs. The theme under which the papers have been collected is Concurrency, Compositionality, and Correctness, reflecting the focus of Willem-Paul de Roever's research career. Topics addressed include model checking, computer science and state machines, ontology and mereology of domains, game theory, compiler correctness, fair scheduling and encryption algorithms.

A major challenge for computer science is to develop methods that ensure program correctness. This textbook provides a structured introduction to program verification using an assertional approach - so called because it relies on the use of assertions that are attached to program control points. Sequential programs in the form of deterministic and non-deterministic programs, and concurrent programs in the form of parallel and distributed programs are considered within the context of their partial and total correctness. The use of these proof systems is demonstrated with the help of case studies. In particular, solutions to classical problems such as mutual exclusion are formally verified. Each chapter concludes with exercises and bibliographic remarks for further reading. As a result, this text is suitable as either an introductory course on program verification for the upper division of undergraduate studies or for graduate studies. It can also be used as an introduction to operational semantics. Outlines of possible courses are presented in the preface of the book.

HIS BOOK CONTAINS a most comprehensive text that presents syntax-directed and compositional methods for the formal veri?- T cation of programs. The approach is not language-bounded in the sense that it covers a large variety of programming models and features that appear in most modern programming languages. It covers the classes of - quential and parallel, deterministic and non-deterministic, distributed and object-oriented programs. For each of the classes it presents the various c- teria of correctness that are relevant for these classes, such as interference freedom, deadlock freedom, and appropriate notions of liveness for parallel programs. Also, special proof rules appropriate for each class of programs are presented. In spite of this diversity due to the rich program classes cons- ered, there exist a uniform underlying theory of veri?cation which is synt- oriented and promotes compositional approaches to veri?cation, leading to scalability of the methods. The text strikes the proper balance between mathematical rigor and - dactic introduction of increasingly complex rules in an incremental manner, adequately supported by state-of-the-art examples. As a result it can serve as a textbook for a variety of courses on di?erent levels and varying durations. It can also serve as a reference book for researchers in the theory of veri?- tion, in particular since it contains much material that never before appeared in book form. This is specially true for the treatment of object-oriented p- grams which is entirely novel and is strikingly elegant.

This volume constitutes the proceedings of the 19th International Symposium on Mathematical Foundations of Theoretical Computer Science, MFCS '94, held in Kosice, Slovakia in August 1994. MFCS '94 brought together specialists in theoretical fields of computer science from various countries in order to stimulate mathematical research in theoretical computer science. Besides 12 papers based on invited talks by renowned experts, the book contains 42 research contributions selected from a total of 112 submissions. All areas of theoretical computer science are presented, some from a particular mathematical point of view.

The second part of this Handbook presents a choice of material on the theory of automata and rewriting systems, the foundations of modern programming languages, logics for program specification and verification, and some chapters on the theoretic modelling of advanced information processing.

This volume contains the proceedings of the 12th International Conference on Computer Aided Veri?cation (CAV 2000) held in Chicago, Illinois, USA during 15-19 July 2000. The CAV conferences are devoted to the advancement of the theory and practice of formal methods for hardware and software veri?cation. The con- rence covers the spectrum from theoretical foundations to concrete applications, with an emphasis on veri?cation algorithms, methods, and tools together with techniques for their implementation. The conference has traditionally drawn contributions from both researchers and practitioners in academia and industry. This year 91 regular research papers were submitted out of which 35 were - cepted, while 14 brief tool papers were submitted, out of which 9 were accepted for presentation. CAV included two invited talks and a panel discussion. CAV also included a tutorial day with two invited tutorials. Many industrial companies have shown a serious interest in CAV, ranging from using the presented technologies in their business to developing and m- keting their own formal veri?cation tools. We are very proud of the support we receive from industry. CAV 2000 was sponsored by a number of generous andforward-lookingcompaniesandorganizationsincluding:CadenceDesign- stems, IBM Research, Intel, Lucent Technologies, Mentor Graphics, the Minerva Center for Veri?cation of Reactive Systems, Siemens, and Synopsys. TheCAVconferencewasfoundedbyitsSteeringCommittee:EdmundClarke (CMU), Bob Kurshan (Bell Labs), Amir Pnueli (Weizmann), and Joseph Sifakis (Verimag).

The Summer School in Marktoberdorf 1990 had as its overall theme the development of programs as an activity that can be carried out based on and supported by a mathematical method. In particular mathematical methods for the development of programs as parts of distributed systems were included. Mathematical programming methods are a very important topic for which a lot of research in recent years has been carried out. In the Marktoberdorf Summer School outstanding scientists lectured on mathematical programming methods. The lectures centred around logical and functional calculi for the • specification, • refinement, • verification of programs and program systems. Some extremely remarkable examples were given. Looking at these examples it becomes clear that proper research and teaching in the area of program methodology should always show its value by being applied at least to small examples or case studies. It is one of the problems of computing science that examples and case studies have to be short and small to be lJresentable in lectures and papers of moderate size. However, even small examples can tell a lot about the tractability and adequacy of methods and being able to treat small examples does at least prove that the method can be applied in modest ways. Furthermore it demonstrates to some extent the notational and calculational overhead of applying formal methods.