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The book is devoted to a simplified set-theoretic version of
denotational semantics where sets are used in place of Scott's
reflexive domains and where jumps are described without
continuations. This approach has emerged as a reaction to the
sophisticated model of traditional semantics. It was also strongly
stimulated by the applications of denotational semantics and
especially by its software-industry oriented version known as VDM
(Vienna Development Method). The new approach was successfully
tested on several examples. Based on this approach the Polish
Academy of Sciences created the project MetaSoft aimed at the
development of a definitional metalanguage for software
engineering. The approach has also been chosen in the project RAISE
(ESPRIT) which aims at a similar goal. The book consists of two
parts. Part One is devoted to the mathematical foundations of the
future definitional metalanguage of MetaSoft. This part also
introduces an appropriate notation. Part Two shows the applications
of this metalanguage. There the denotational definition of a subset
of Pascal is discussed with particular emphasis on Pascal types.
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