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The publication of a volume this kind of as this would not be possible without the expert aid of many folks, I ought to nonetheless give especial thanks to Iain Maclntyre, who has been a tower of power in aiding with the planning of the materials for the printers. Skip Martyn of William Heinemann Health-related Textbooks has also executed an exceptional undertaking in looking at the get the job done through the press. The Organising Committee want to categorical their many thanks to the Wellcome Trust and all individuals organisations who, by their generous gifts, manufactured this conference attainable and the publication of its proceedings. Very last, but not least, Skip Margaret Pollard, the Organising Secretary deserves our especial many thanks. For about two several years from the summertime of 1996. a undertaking named "Cafe" was undertaken by researchers from a lot more than ten afhliations. The main aim of the undertaking was to start an algebraic specification language CafeOBJ on to the industrial scene. This goal enthusiastic se'eral varied activities, both equally theoretical and complex. On the theoretical aspect, novel semantic paradigms for behavioural technical specs ended up in'estigated. and techniques of easing evidence constructions, using net and World wide web technologies, were recognized. On order BMS345541 hydrochloride the technical aspect, built-in methods for specification growth, with emphasis each on simplicity of use and on evidence guidance, ended up carried out. In addition, various circumstance research of important size had been pursued. To celebrate the productive conclusion of the task, a symposium w^as held in Numazu, a seaside town well-known for new seafoods, in April, 1998. On this situation, not only the individuals of the project, but numerous scientists in diverse fields which includes algebraic specs, term rewriting, theorem proving, rewriting logic, and classification theor}', bought alongside one another to have intense yet comfortable displays and conversations that lasted four times. This e-book has the picked papers by the contributors of the symposium. These papers offer with numerous logics and formalisms fundamental CafeOBJ, and/or with computer software development environments suited for embedding it. Suitable key phrases below are: (primary) algebraic specification, behavioural specification/logic, rewriting specification/logic, order-sorted specification/logic, executable specification, distributed computing, theorem prover interfaces. The paper by Manuel Clavel et al. offers a rewriting logic at get the job done. An critical characteristic of rewriting logic is the existence of a finitely presented universal concept, wherever an item-amount principle can be encoded and reasoned about as a simple object. These kinds of an encoding alone can be encoded and reasoned about at a still higher level. Hence an arbitrarily better "reflexive tower could be constructed for describing and reasoning about a huge assortment of troubles.