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A new semantics for Clear
"... Summary. A semantics for the Clear specification language is given. The language of set theory is employed to present constructions corresponding to Clear's specificationcombining operations, which are then used as the basis for a denotational semantics. This is in contrast to Burstall and Goguen's ..."
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Summary. A semantics for the Clear specification language is given. The language of set theory is employed to present constructions corresponding to Clear's specificationcombining operations, which are then used as the basis for a denotational semantics. This is in contrast to Burstall and Goguen's 1980 semantics which described the meanings of these operations
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"... A formalisation of this programming methodology depends on some precise notion of the implementation of a specification by a lowerlevel specification. Previous notions have been given for the implementation of nonparameterised ([GTW 78], [Nou 79], [Hup 80], [EKP 80], [Ehr 82]) and parameterised ([ ..."
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A formalisation of this programming methodology depends on some precise notion of the implementation of a specification by a lowerlevel specification. Previous notions have been given for the implementation of nonparameterised ([GTW 78], [Nou 79], [Hup 80], [EKP 80], [Ehr 82]) and parameterised ([Gan 81], [Hup 81])*~ specifications, but none of these approaches deals fully with 'structured ' algebraic specifications (as in Clear [BG 77] or CIPL [Bau 81]) which may be constructed in a hierarchical fashion and may be loose (with an assortment of nonisomorphic models). We present a definition of implementation which agrees with our intuitive notions built upon programming experience and which handles such loose hierarchical specifications, based on a new (and seemingly fundamental) concept of the simulation of a theory by an algebra. We show how this definition extends to give a definition of the implementation of parameterised specifications. An example of an implementation is given and several other examples are sketched. We work within the framework of the Clear specification language [BG 77] which allows large specifications to be built from small easytounderstand bits. For most