annotate Todo.txt @ 677:681577b60c35

child-replaced
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Mon, 29 Nov 2021 09:06:31 +0900
parents 7bacba816277
children 6a805c8c1e53
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7bacba816277 use list base simple stack
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1 <<<<<<< working copy
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2 Thu May 17 15:26:56 JST 2018
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3
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4 findNode -> replaceNode -> getRedBlackTree だが
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5
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6 findNode -> P0 -> replaceNode -> P1 -> getRedBlackTree
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7
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8 という形で証明しても良い。一挙に証明するのは,可能だろうけど、良くないはず。
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9
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10 ||||||| base
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11 =======
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73fc32092b64 push local rbtree
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12
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13
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14 >>>>>>> destination
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15 Sun May 6 17:54:50 JST 2018
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16
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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17 do1 a $ \b -> do2 b next を、do1 と do2 に分離することはできる?
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19
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20 Mon Apr 30 17:15:16 JST 2018
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21
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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22 Stack の初期化を別にするだけだと、置き換えの条件に到達した時に、Stack が empty になるのを保証できない
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23 やはり、 Stack + Current Tree = Original Tree という不変式を入れないとだめらしい
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24
553
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25 Mon Mar 26 17:43:06 JST 2018
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26
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27 Decidable を使って Compare の場合分けを行う
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28 Decidable を使うと Eq から x ≡ y の証明を取り出すことができる
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29 場合分けには Trichotomous を使う
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30 compareTri を完成させる Done
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31
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32 Fri Jan 5 16:43:26 JST 2018
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33
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34 unbalanced binary search tree の動作を調べる
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35
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36 RedBlackTree の put を完成させる
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37
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38 RedBlackTree の Deletion を完成させる
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39
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40 unbalanced binary search tree と同様の動作をする
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41
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42 木の深さの最小と最大の差が2倍を超えない
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43
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44 CodeGear/DataGear が構成する圏を定義する
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45
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46 goto を定義して meta 計算を可能にする
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47
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48 DataSegment をすべて含む sum 型を定義しmetaDataSegmentとする
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49
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50 実行環境をcontextとして定義しgotoと合わせて並列実行をモデル化する
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51
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52 Monad の合成に必要な規則を上の圏上に定義する
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53
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54 synchronizedQueue の仕様をCTLを使って定義する
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55
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56 Gearsで記述したsynchornizedQueueを検証する
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57
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58 gotoを用いてモデル検査と証明の組み合わせを実現する
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60
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61 Wed Aug 27 17:52:00 JST 2019
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62
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63 別で定義した TriCotomos や \=? などの Relation の関数を
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64 Agdaで定義してあるものに置き換える,まとめる
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65
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66 HoareLogic をベースにした SingleLinkedStack の作成
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67
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68 HoareLogic ベースの Tree の証明