Novel Uses of Category Theory in Modeling OOP
classification
💻 cs.PL
math.CT
keywords
categorymodelfunctorsgenericjavamodelingtheoryadjoint
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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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Cited by 1 Pith paper
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Outlines an order-theoretic and category-theoretic model for Java generics to address analysis challenges in generic OO type systems.
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