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Titlebook: Mathematics of Program Construction; 14th International C Ekaterina Komendantskaya Conference proceedings 2022 The Editor(s) (if applicable

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,Folding over Neural Networks,n scheme patterns. In turn, we promote a coherent implementation of neural networks that delineates between their structure and semantics, allowing for compositionality in both how they are built and how they are trained.
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Subtyping Without Reduction,ticle, we show how operations on a subtype can be represented in a more efficient manner that exhibits no reduction behaviour. We present the general form of the technique in Cubical Agda by exploiting its support by higher-inductive types, and demonstrate the practical use of the technique with a number of examples.
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Calculating Datastructures,aws relating types and arithmetic. Although these calculations do not generally produce novel datastructures they do give insight into how certain datastructures arise and how different implementations are related.
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,Breadth-First Traversal via Staging,Depth-first effectful traversal of a tree is straightforward to define compositionally, since it precisely follows the shape of the data. What about breadth-first effectful traversal? An indirect route is to factorize the data structure into shape and contents, traverse the contents, then rebuild th
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Subtyping Without Reduction, gives no control over when the reduction of subtyping proofs takes place, which can significantly impact the performance of type-checking. In this article, we show how operations on a subtype can be represented in a more efficient manner that exhibits no reduction behaviour. We present the general
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