CafeOBJ is an industrial strength modern algebraic specification language, a successor of the famous OBJ language, and directly incorporating new paradigms such as behavioural concurrent specification and rewriting logic. CafeOBJ is the core of an environment supporting the systems (mainly software but not only) development process at several levels, including prototyping, specification, and formal verification.This book presents not only the formal definition of the language and its semantics, but also methodologies for specification and verification in CafeOBJ, with emphasis on concurrent object composition and modularity.The presentation of the CafeOBJ concepts is supported by many examples, and an appendix illustrates the power of the language and its methodologies by a larger CASE study including specification, testing, and verification.The book may be used both by software engineers interested in algebraic methodologies, and by students and researchers in software engineering and/or theoretical computing science as a fast introduction to state-of-art algebraic specification.

This is a report on the formal definition of the CafeOBJ algebraic specification language, which is a modern successor to the famous algebraic language OBJ. While the equational core of CafeOBJ is just a reshaping of OBJ, CafeOBJ significantly extends OBJ by incorporating several recent major developments in the area of algebraic specification, such as behavioural specification and rewriting logic. The definition of the language parallels its logical semantics based on the so-called institutions, which also provide a methodological framework for structuring the presentation of the basic constructs of the language and their semantics. This report presents all the basic constructs of the language together with their semantics and addresses both the programming in-the-small and in-the-large levels. However, it also discusses proof systems and technologies, as well as methodologies. Examples are provided throughout the report as intuitive support for the definitions of the constructs and for illustrating proof techniques and methodologies.

After Ole-Johan’s retirement at the beginning of the new millennium, some of us had thought and talked about making a “Festschrift” in his honor. When Donald Knuth took the initiative by sending us the ?rst contribution, the p- cess began to roll! In early 2002 an editing group was formed, including Kristen Nygaard, who had known Ole-Johan since their student days, and with whom he had developed the Simula language. Then we invited a number of prominent researchers familiar with Ole-Johan to submit contributions for a book hon- ing Ole-Johan on the occasion of his 70th birthday. Invitees included several members of the IFIP 2. 3 working group, a forum that Ole-Johan treasured and enjoyedparticipating in throughouthis career. In spite of the shortdeadline, the response to the invitations was overwhelmingly positive. The original idea was to complete the book rather quickly to make it a gift he could read and enjoy, because by then he had had cancer for three years, and his health was gradually deteriorating. Kristen had been regularly visiting Ole-Johan,who was in the hospitalat that time, and they were workingon their Turing award speech. Ole-Johan was grati?ed to hear about the contributions to this book, but modestly expressed the feeling that there was no special need to undertake a book project on his behalf. Peacefully accepting his destiny, Ole- Johan died on June 29, 2002.

This Festschrift volume, published in honor of Kokichi Futatsugi, contains 31 invited contributions from internationally leading researchers in formal methods and software engineering. Prof. Futatsugi is one of the founding fathers of the field of algebraic specification and verification and is a leading researcher in formal methods and software engineering. He has pioneered and advanced novel algebraic methods and languages supporting them such as OBJ and CafeOBJ and has worked tirelessly over the years to bring such methods and tools in contact with software engineering practice. This volume contains contributions from internationally leading researchers in formal methods and software engineering.

Behavioral Specifications of Businesses and Systems deals with the reading, writing and understanding of specifications. The papers presented in this book describe useful and sometimes elegant concepts, good practices (in programming and in specifications), and solid underlying theory that is of interest and importance to those who deal with increased complexity of business and systems. Most concepts have been successfully used in actual industrial projects, while others are from the forefront of research. Authors include practitioners, business thinkers, academics and applied mathematicians. These seemingly different papers address different aspects of a single problem - taming complexity. Behavioral Specifications of Businesses and Systems emphasizes simplicity and elegance in specifications without concentrating on particular methodologies, languages or tools. It shows how to handle complexity, and, specifically, how to succeed in understanding and specifying businesses and systems based upon precise and abstract concepts. It promotes reuse of such concepts, and of constructs based on them, without taking reuse for granted. Behavioral Specifications of Businesses and Systems is the second volume of papers based on a series of workshops held alongside ACM's annual conference on Object-Oriented Programming Systems Languages and Applications (OOPSLA) and European Conference on Object-Oriented Programming (ECOOP). The first volume, Object-Oriented Behavioral Specifications, edited by Haim Kilov and William Harvey, was published by Kluwer Academic Publishers in 1996.

This book constitutes the thoroughly refereed post-proceedings of the 16th International Workshop on Algebraic Development Techniques, WADT 2002, held at Frauenchiemsee, Germany in September 2002. The 20 revised full papers presented together with 6 invited papers were carefully improved and selected from 44 workshop presentations during two rounds of reviewing. The papers are devoted to topics like formal methods for system development, specification languages and methods, systems and techniques for reasoning about specifications, specification development systems, methods and techniques for concurrent, distributed, and mobile systems, and algebraic and co-algebraic methods.

This book constitutes the refereed proceedings of the 8th International RuleML Symposium, RuleML 2014, co-located with the 21st European Conference on Artificial Intelligence, ECAI 2014, held in Prague, Czech Republic, in August 2014. The 17 full and 6 short papers presented together with 3 keynote talks were carefully reviewed and selected from 48 submissions. The papers cover the following topics: semantic web rule languages and standards, rule engines, formal and operational semantics and rule-based systems, the relation between natural language and rules, automation of business rules generation from existing data, and aspects related to legal rules and norms for web and corporate environments.

A Step Towards Verified Software Worries about the reliability of software are as old as software itself; techniques for allaying these worries predate even James King’s 1969 thesis on “A program verifier. ” What gives the whole topic a new urgency is the conjunction of three phenomena: the blitz-like spread of software-rich systems to control ever more facets of our world and our lives; our growing impatience with deficiencies; and the development—proceeding more slowly, alas, than the other two trends—of techniques to ensure and verify software quality. In 2002 Tony Hoare, one of the most distinguished contributors to these advances over the past four decades, came to the conclusion that piecemeal efforts are no longer sufficient and proposed a “Grand Challenge” intended to achieve, over 15 years, the production of a verifying compiler: a tool that while processing programs would also guarantee their adherence to specified properties of correctness, robustness, safety, security and other desirable properties. As Hoare sees it, this endeavor is not a mere research project, as might normally be carried out by one team or a small consortium of teams, but a momentous endeavor, comparable in its scope to the successful mission to send a man to the moon or to the sequencing of the human genome.

This book contains selected papers on the language, applications, and environments of CafeOBJ, which is a state-of -the-art algebraic specification language. The authors are speakers at a workshop held in 1998 to commemorate a large industrial/academic project dedicated to CafeOBJ. The project involved more than 40 people from more than 10 organisations, of which 6 are industrial. The workshop attracted about 30 talks and more than 70 attendees.The papers in the book however, are either heavily revised versions presented at the workshop, to reflect recent advancements or research; or completely new ones, written especially for this book. In this regard, the book is not a usual postpublication after a workshop. Also, although it is a compendium of papers that are related to CafeOBJ, the book is not a manual, reference, or tutorial of CafeOBJ. Probably the best description is that it is a collection of papers that investigate how to use, or to make it easy to use, CafeOBJ. Reflecting the diverse nature of the project and its participants (most of the authors are participants to the project), the papers, put together, offer a comprehensive picture from this methodological perspective.Some papers deal with various advanced aspects of the language, such as rewriting logic and behavioural logic. For rewriting logic, a couple of significant applications were reported. In particular, UML, now considered de facto standard language for modelling systems, is the subject of one paper. For behavioural logic, new methodological guidelines are presented. Some papers shed new light on a more traditional paradigm in the language; order-sorted equational specifications. One paper, in particular, deal with a way to associate CafeOBJ with object-oriented programming. The other papers deal with environments for writing and vertifying specifications written in CafeOBJ. Underlying those papers are two major considerations: user interfaces for manipulating specifications, and systematic supports for proofs. All the environments explained in the papers assume and support distributed computing, and de facto standard network technologies, such as WWW and http, are incorporated.

There is algebraic structure in time, computation and biological systems. Algebraic engineering exploits this structure to achieve better understanding and design. In this book, pure and applied results in semigroups, language theory and algebra are applied to areas ranging from circuit design to software engineering to biological evolution.