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@cxandru@types.pl

Post #2538504

2026-04-08 13:12 UTC

Our paper (with Thorsten Wißmann & Henning Urbat) "Intrinsically Correct Algorithms and Recursive Coalgebras" has been accepted at PLDI'26, and is out on arxiv! In this thread I will briefly explain its main idea. 1/8 https://arxiv.org/abs/2512.10748 https://pldi26.sigplan.org/details/pldi-2026-papers/66/Intrinsically-Correct-Algorithms-and-Recursive-Coalgebras

Replies (2)

  • @cxandru@types.pl 2026-04-08 13:13

    Divide-and-conquer algorithms are described by the notion of coalgebra-to-algebra morphism for some functor F. The "divide" step is given by an F-coalgebra c, the "combine" step by an F-algebra a, and the whole algorithm h satisfies the functional equation h = c; Fh; a. 2/8

    Open ##2669078

  • @6d03@mathstodon.xyz 2026-04-12 13:33

    @cxandru@types.pl this is so cool. I started reading it today.

    Open ##2669088