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The publication of a quantity such as this would not be doable with out the skilled aid of numerous folks, I must however give especial many thanks to Iain Maclntyre, who has been a tower of toughness in aiding with the planning of the substance for the printers. Skip Martyn of William Heinemann Health care Publications has also executed an excellent job in seeing the work by the press. The Organising Committee want to convey their thanks to the Wellcome Have confidence in and all people organisations who, by their generous presents, designed this conference possible and the publication of its proceedings. Very last, but not minimum, Pass up Margaret Pollard, the Organising Secretary deserves our especial many thanks. For about two a long time from the summertime of 1996. a venture referred to as "Cafe" was carried out by researchers from additional than 10 afhliations. The significant goal of the venture was to launch an algebraic specification language CafeOBJ onto the industrial scene. This aim motivated se'eral assorted actions, both equally theoretical and specialized. On the theoretical aspect, novel semantic paradigms for behavioural specs had been in'estigated. and approaches of easing proof constructions, working with world wide web and Net technologies, ended up proven. On Masivet the specialized aspect, built-in techniques for specification advancement, with emphasis both on relieve of use and on proof aid, were applied. In addition, several situation studies of significant dimensions have been pursued. To celebrate the effective summary of the undertaking, a symposium w^as held in Numazu, a seaside town renowned for contemporary seafoods, in April, 1998. On this occasion, not only the contributors of the project, but numerous scientists in numerous fields which include algebraic specifications, phrase rewriting, theorem proving, rewriting logic, and category theor}', obtained together to have intensive still relaxed presentations and conversations that lasted 4 times. This ebook is made up of the picked papers by the individuals of the symposium. These papers deal with different logics and formalisms underlying CafeOBJ, and/or with software program improvement environments ideal for embedding it. Appropriate search phrases listed here are: (basic) algebraic specification, behavioural specification/logic, rewriting specification/logic, purchase-sorted specification/logic, executable specification, distributed computing, theorem prover interfaces. The paper by Manuel Clavel et al. offers a rewriting logic at perform. An crucial element of rewriting logic is the existence of a finitely offered common idea, where an object-stage concept can be encoded and reasoned about as a plain item. Such an encoding itself can be encoded and reasoned about at a nevertheless greater stage. Hence an arbitrarily larger "reflexive tower may well be developed for describing and reasoning about a extensive assortment of challenges.