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- From: Pierre Courtieu <pierre.courtieu AT gmail.com>
- To: Coq Club <coq-club AT inria.fr>
- Subject: Re: [Coq-Club] Implementing a simple program using AVL tree.
- Date: Thu, 25 Aug 2022 09:26:13 +0200
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Le mer. 24 août 2022 à 14:04, Suneel Sarswat
<suneel.sarswat AT gmail.com> a écrit :
> My requirements are any tree data structure so that I can write efficient
> algorithms which are otherwise inefficient on lists.
> The operations I am going to perform are insert, remove_min/max, delete.
You probably don't want *any tree data structure*, you probably want
any *set* data structure implemented with trees (or anything
efficient). And actually since you want remove_min/max, you actually
want *ordered set* data structure.
I think in your first attempt you defined ordered set by yourself
(with lists) instead of using a predefined one. You should first write
your program with no mention of lists or trees, using only ordered
sets operations. So that you can switch from one implementation of
ordered sets to another without changing the code. Then you should
prove the program using properties of ordered sets.
The interface (MSetInterface.Ops) gives the operations and properties
of ordered sets, MSetAVL.Ops builds a module of ordered sets
implemented with AVL trees, MSetList.Ops builds it with lists, and
MSetRBT.Ops builds it with red black trees.
I think MSet is OK. FSet is older but it has the advantage of being
extended to maps (see FMap). There is no MMap currently and I am not
aware of someone working on it.
best
P
- [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/23/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., mukesh tiwari, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Pierre Courtieu, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Pierre Courtieu, 08/25/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/26/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Pierre Courtieu, 08/25/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., mukesh tiwari, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Suneel Sarswat, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., mukesh tiwari, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., Pierre Courtieu, 08/24/2022
- Re: [Coq-Club] Implementing a simple program using AVL tree., mukesh tiwari, 08/24/2022
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