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Titlebook: Categorical Methods in Computer Science; With Aspects from To H. Ehrig,H. Herrlich,G. Preuß Conference proceedings 1989 Springer-Verlag Ber

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https://doi.org/10.1007/978-3-319-00590-4gebra, the state transformation corresponding to a declaration changes the algebra and its presentation. We provide a uniform treatment of the declarations of constants, aliases, variables, data types, and pointers, in terms of transformations defined using pushouts and reducts of algebras.
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A categorical concept of constraints for algebraic specifications,first order logical constraints. On the semantical level we study the category CATSPECC of algebraic specifications with constraints and on the semantical level the category Cat(SPECC) of SPECC-algebras, which are usual SPEC-algebras satisfying a given set C of constraints..We show that basic constr
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Colimits as parameterized data types,rsal) cocones form the bodies. Moreover, because the cocone is associated to each diagram in a uniform way, the colimit construction itself turns out to be parametric over-coming one of the limitations of ordinary parameterized specifications, this is the fixed size and structure of the formal param
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Empty carriers: The categorical burden on logic,nient in algebra and category theory but puts a burden on logic: If truth evaluation of formulas is not considered to be partial (which creates an abundance of problems itself), anomalies in validity, truth, and deduction can not be avoided. Nevertheless, various approaches to first order logic with
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