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Generalized folds for system of algebraic data types

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A data model for companies of the @system requires a system of algebraic data types such as follows:

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Thus, a generalized fold for companies also needs to be parameterized in multiple types: one for each type in the system:

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We can set up some interesting baseline behavior on companies. The following algebra models deep identity over companies such that the company structure is fully traversed and rebuilt:

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An operation for cutting salaries in half can now be derived from mapCompany simply by record update such that the case for employees realizes salary cut:

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