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Add slide for seminar
author Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
date Fri, 28 Nov 2014 11:17:36 +0900
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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1 title: Categorical Semantics for Program Modification
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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2 author: Yasutaka Higa
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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3 profile:
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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4 lang: Japanese
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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5
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6
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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7 # 研究目的
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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8 * ソフトウェア開発において、プログラムが変更されることの意味を調べる
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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9 * プログラムの変更に対応する圏を構築し、その圏の性質からプログラムの変更の性質を導く
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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10 * 導いた性質から、プログラムの変更の意味とソフトウェア開発に使えるツールを提案する
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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11 * 本研究ではプログラムの変更をMonadとして定義し、Monad によって構成される圏を解析する
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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12
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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13 # 近況報告
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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14 * 業務連絡 : IP filtering
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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15 * 無限の変更を表す Delta を定義しました
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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16 * Sample : Bubble Sort
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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17 * Agda での証明がだいぶ詰まっています
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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19 # IP filtering
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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20 * leo.cr のみが新規?
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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21 * メールのIP は leo.cr, insigma.cr, firefly.cr
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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22 * insigma.cr, firefly.cr は登録済み
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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23 * mumble.st, masa.cr はIPが被ってる
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24
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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25 # Delta : 当面のクリアするべき目標
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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26 * Delta によってプログラムの全ての変更が表現できるか?
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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27 * Functor なのでいけると思ってます
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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28 * 無限の変更を Delta によって書けるか
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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29 * 定義してみました( mono と delta )
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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30 * Delta によって構成される limit とは何か
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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31 * 先生とやりました
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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32
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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33 # Sample : Bubble Sort
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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34 * prime count も bubble sort も動いてます
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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35
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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36 ```
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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37 *Main> primeCount 10
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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38 Delta 4 (Mono 5)
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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39
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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40 *Main> deltaFromList [10, 20, 30] >>= primeCount
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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41 Delta 4 (Delta 10 (Mono 15))
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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42 ```
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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43
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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44 # limit of delta monad
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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45 * 先生と対応を考えてました
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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46 * limit
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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47 * index category の形状は preorderd sets だと思ってます
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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48 * has id, has pull back
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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49 * monotone でも良いかなとは
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50
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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51 # equalizer, product of delta monnad
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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52 * pull back があるので equalizer もある
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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53 * おそらく mercurial の merge の non-conflict 部分
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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54 * id があるので product もある
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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55 * 任意の変更段階を対にできる
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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56 * parallel debugger の理論的背景 -> これを卒研の提案1にする
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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57 * and more?
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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58 * indexed category のパターンを調べようかと思ってます
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59
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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60 # Agda での証明につまってます
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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61 * functor 則は ok
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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62 * monad 則がとんでも
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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63 * mu (fmap mu) m = mu (mu m)
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Yasutaka Higa <e115763@ie.u-ryukyu.ac.jp>
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64 * 先週からずっと悩み続けてます
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65
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66 <!-- vim: set filetype=markdown.slide: -->