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The publication of a quantity this sort of as this would not be feasible with no the competent help of a lot of persons, I need to nonetheless give especial thanks to Iain Maclntyre, who has been a tower of power in helping with the preparing of the material for the printers. Miss out on Martyn of William Heinemann Medical Textbooks has also performed an outstanding process in observing the perform via the push. The Organising Committee desire to express their many thanks to the Wellcome Rely on and all those organisations who, by their generous gifts, produced this convention achievable and the publication of its proceedings. Last, but not least, Skip Margaret Pollard, the Organising Secretary justifies our especial thanks. For about two yrs from the summer of 1996. a task identified as "Cafe" was undertaken by researchers from much more than ten afhliations. The key purpose of the task was to start an algebraic specification language CafeOBJ on to the industrial scene. This goal determined se'eral diverse pursuits, each theoretical and complex. On the theoretical facet, novel semantic paradigms for behavioural technical specs ended up in'estigated. and ways of easing evidence constructions, utilizing online and World-wide-web systems, were founded. On 1038915-60-4 manufacturer the complex facet, integrated devices for specification progress, with emphasis the two on ease of use and on evidence help, have been executed. In addition, numerous circumstance scientific studies of considerable size were being pursued. To rejoice the profitable conclusion of the job, a symposium w^as held in Numazu, a seaside town well known for new seafoods, in April, 1998. On this event, not only the individuals of the undertaking, but a lot of scientists in various fields such as algebraic requirements, expression rewriting, theorem proving, rewriting logic, and group theor}', got collectively to have intense however comfortable displays and discussions that lasted 4 days. This book contains the selected papers by the contributors of the symposium. These papers offer with several logics and formalisms underlying CafeOBJ, and/or with application growth environments acceptable for embedding it. Relevant keywords in this article are: (simple) algebraic specification, behavioural specification/logic, rewriting specification/logic, buy-sorted specification/logic, executable specification, dispersed computing, theorem prover interfaces. The paper by Manuel Clavel et al. presents a rewriting logic at get the job done. An significant function of rewriting logic is the existence of a finitely introduced universal concept, in which an item-level idea can be encoded and reasoned about as a basic object. This sort of an encoding by itself can be encoded and reasoned about at a yet increased level. Consequently an arbitrarily better "reflexive tower might be designed for describing and reasoning about a vast array of issues.