Novel Uses of Category Theory in Modeling OOP

September 23, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Moez A. AbdelGawad arXiv ID 1709.08056 Category cs.PL: Programming Languages Cross-listed math.CT Citations 0 Venue arXiv.org Last Checked 4 months ago
Abstract
An outline and summary of four new potential applications of category theory to OOP research are presented. These include (1) the use of operads to model Java subtyping, (2) the use of Yoneda's lemma and representable functors in the modeling of generic types in generic nominally-typed OOP, (3) using a combination of category presentations and cartesian closed categories to model structurally-typed OOP, and (4) the use of adjoint functors to model Java erasure.
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