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Adding monadic fixpoint to define Mu's quicksort #26

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t6s opened this issue Sep 16, 2020 · 0 comments
Open

Adding monadic fixpoint to define Mu's quicksort #26

t6s opened this issue Sep 16, 2020 · 0 comments

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@t6s
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t6s commented Sep 16, 2020

The definition of qperm function in the quicksort branch requires an interaction between fixpoints and binds to show its termination.
Currently there is no such mechanism, and it seems hard to finish the definition.

One possible solution is in http://leventerkok.github.io/papers/mfix.pdf : the monadic fixpoint operator mfix.
Let's see if this mfix can be added to monae with useful laws and if this enables quicksort.

@affeldt-aist affeldt-aist added this to the 0.1.3 milestone Sep 16, 2020
@affeldt-aist affeldt-aist modified the milestones: 0.1.3, 0.3.2, 0.3.3 Mar 19, 2021
@affeldt-aist affeldt-aist modified the milestones: 0.3.3, 0.4 Jun 15, 2021
@affeldt-aist affeldt-aist modified the milestones: 0.4, 0.4.1 Nov 20, 2021
@affeldt-aist affeldt-aist modified the milestones: 0.4.1, 0.4.2 Apr 21, 2022
@affeldt-aist affeldt-aist removed this from the 0.4.2 milestone Dec 3, 2023
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