Titlebook: Algebraic Approaches to Program Semantics; Ernest G. Manes,Michael A. Arbib Book 1986 Springer Science+Business Media New York 1986 Boolea

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Parametric Specificational functors have least fixed points. In this sense . is a “parameter” for the “lists-of-” specifier. The specific parameter . may itself arise from another data type specification and may live in a category of arbitrary complexity subject to the technical needs of semantics.

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https://doi.org/10.1007/978-3-319-95867-5ws from the uniqueness assertion in the Banach theorem. Finally, we show in Section 9.4 that the language defined by a context-free grammar often arises as the unique fixed point of the Banach theorem.

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0172-603X seeks a logical proof that the program satisfies its specification. An alternative approach, pioneered by Scott and Strachey, is called denotational semantics:978-1-4612-9377-4978-1-4612-4962-7Series ISSN 0172-603X Series E-ISSN 2512-5486

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An Introduction to Category Theory .. In addition to the need to consider., . as “data structures,” there are theoretical approaches to semantics in which all ., . must carry further structure. Rather than embark on the misguided task of presenting an exhaustive list of present and future possibilities, we introduce. as a framework