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Decomposing Typed Lambda Calculus into a Couple of Categorical Programming Languages Export

In Category Theory and Computer Science (1995), pp. 200-219.

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category-theory lambda-calculus languages

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. We give two categorical programming languages with variable arrows and associated abstraction/reduction mechanisms, which extend the possibility of categorical programming [Hag87, CF92] in practice. These languages are complementary to each other -- one of them provides a first-order programming style whereas the other does higherorder -- and are "children" of the simply typed lambda calculus in the sense that we can decompose typed lambda calculus into them and, conversely, the combination...


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