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1 <!DOCTYPE html><html lang="en-US"><head><title>GearsOSのメタ計算</title><meta property="og:title" content="GearsOSのメタ計算"><meta charset="UTF-8"><meta name="viewport" content="width=device-width,height=device-height,initial-scale=1.0"><meta name="apple-mobile-web-app-capable" content="yes"><meta http-equiv="X-UA-Compatible" content="ie=edge"><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>.bespoke-marp-note,.bespoke-marp-osc,.bespoke-progress-parent{display:none;transition:none}@media screen{body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button{-webkit-appearance:none;-moz-appearance:none;appearance:none;background-color:transparent;border:0;color:inherit;cursor:pointer;font-size:inherit;opacity:.8;outline:none;padding:0;transition:opacity 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.bespoke-marp-parent>.bespoke-marp-osc>button.exit[data-bespoke-marp-osc=fullscreen]{background-image:url("data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCAxMDAgMTAwIj48ZGVmcz48c3R5bGU+LmF7ZmlsbDpub25lO3N0cm9rZTojZmZmO3N0cm9rZS1saW5lY2FwOnJvdW5kO3N0cm9rZS1saW5lam9pbjpyb3VuZDtzdHJva2Utd2lkdGg6NXB4fTwvc3R5bGU+PC9kZWZzPjxyZWN0IGNsYXNzPSJhIiB4PSIxMCIgeT0iMjAiIHdpZHRoPSI4MCIgaGVpZ2h0PSI2MCIgcng9IjUuNjciLz48cGF0aCBjbGFzcz0iYSIgZD0iTTIwIDUwaDIwdjIwbS0yMCAwbDIwLTIwbTQwIDBINjBWMzBtMjAgMEw2MCA1MCIvPjwvc3ZnPg==")}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=presenter],body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=presenter]{background:transparent 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.bespoke-marp-parent>.bespoke-marp-osc,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc{background:rgba(0,0,0,.65);border-radius:7px;bottom:50px;color:#fff;display:block;font-family:Helvetica,Arial,sans-serif;font-size:16px;left:50%;line-height:0;opacity:1;padding:12px;position:absolute;touch-action:manipulation;transform:translateX(-50%);transition:opacity .2s linear;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none;white-space:nowrap;z-index:1;will-change:transform}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>*,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>*{margin-left:6px}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>:first-child,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>:first-child{margin-left:0}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>span,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>span{opacity:.8}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>span[data-bespoke-marp-osc=page],body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>span[data-bespoke-marp-osc=page]{display:inline-block;min-width:140px;text-align:center}body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=fullscreen],body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=next],body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=presenter],body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=prev],body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=fullscreen],body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button[data-bespoke-marp-osc=next],body[data-bespoke-view=next] 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.bespoke-marp-presenter-info-page-text{display:inline-block;min-width:120px;text-align:center}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-time{color:#999;order:1;text-align:left}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-timer{color:#999;order:3;text-align:right}}@media print{.bespoke-marp-presenter-info-container,.bespoke-marp-presenter-next-container,.bespoke-marp-presenter-note-container{display:none}}</style><style>div#p>svg>foreignObject>section{width:1280px;height:720px;box-sizing:border-box;overflow:hidden;position:relative;scroll-snap-align:center center}div#p>svg>foreignObject>section:after{bottom:0;content:attr(data-marpit-pagination);padding:inherit;pointer-events:none;position:absolute;right:0}div#p>svg>foreignObject>section:not([data-marpit-pagination]):after{display:none}/* Normalization */div#p>svg>foreignObject>section h1{font-size:2em;margin:0.67em 0}div#p>svg>foreignObject>section video::-webkit-media-controls{will-change:transform}@page{size:1280px 720px;margin:0}@media print{body,html{background-color:#fff;margin:0;page-break-inside:avoid;break-inside:avoid-page}div#p>svg>foreignObject>section{page-break-before:always;break-before:page}div#p>svg>foreignObject>section,div#p>svg>foreignObject>section *{-webkit-print-color-adjust:exact!important;animation-delay:0s!important;animation-duration:0s!important;color-adjust:exact!important;transition:none!important}div#p>svg[data-marpit-svg]{display:block;height:100vh;width:100vw}}div#p>svg>foreignObject>section svg[data-marp-fitting=svg]{display:block;height:auto;width:100%}@supports (-ms-ime-align:auto){div#p>svg>foreignObject>section svg[data-marp-fitting=svg]{position:static}}div#p>svg>foreignObject>section svg[data-marp-fitting=svg].__reflow__{content:""}@supports (-ms-ime-align:auto){div#p>svg>foreignObject>section svg[data-marp-fitting=svg].__reflow__{position:relative}}div#p>svg>foreignObject>section [data-marp-fitting-svg-content]{display:table;white-space:nowrap}div#p>svg>foreignObject>section [data-marp-fitting-svg-content-wrap]{white-space:pre}div#p>svg>foreignObject>section img[data-marp-twemoji]{background:transparent;height:1em;margin:0 .05em 0 .1em;vertical-align:-.1em;width:1em}
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2 /*!
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3 * Marp default theme.
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4 *
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5 * @theme default
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6 * @author Yuki Hattori
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7 *
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8 * @auto-scaling true
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9 * @size 4:3 960px 720px
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10 */div#p>svg>foreignObject>section .octicon{display:inline-block;fill:currentColor;vertical-align:text-bottom}div#p>svg>foreignObject>section .anchor{float:left;line-height:1;margin-left:-20px;padding-right:4px}div#p>svg>foreignObject>section .anchor:focus{outline:none}div#p>svg>foreignObject>section h1 .octicon-link,div#p>svg>foreignObject>section h2 .octicon-link,div#p>svg>foreignObject>section h3 .octicon-link,div#p>svg>foreignObject>section h4 .octicon-link,div#p>svg>foreignObject>section h5 .octicon-link,div#p>svg>foreignObject>section h6 .octicon-link{color:#1b1f23;vertical-align:middle;visibility:hidden}div#p>svg>foreignObject>section h1:hover .anchor,div#p>svg>foreignObject>section h2:hover .anchor,div#p>svg>foreignObject>section h3:hover .anchor,div#p>svg>foreignObject>section h4:hover .anchor,div#p>svg>foreignObject>section h5:hover .anchor,div#p>svg>foreignObject>section h6:hover .anchor{text-decoration:none}div#p>svg>foreignObject>section h1:hover .anchor 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11 /* content:""; */}div#p>svg>foreignObject>section:after{clear:both}div#p>svg>foreignObject>section>:first-child{margin-top:0!important}div#p>svg>foreignObject>section>:last-child{margin-bottom:0!important}div#p>svg>foreignObject>section a:not([href]){color:inherit;text-decoration:none}div#p>svg>foreignObject>section blockquote,div#p>svg>foreignObject>section details,div#p>svg>foreignObject>section dl,div#p>svg>foreignObject>section ol,div#p>svg>foreignObject>section p,div#p>svg>foreignObject>section pre,div#p>svg>foreignObject>section table,div#p>svg>foreignObject>section ul{margin-top:0;margin-bottom:16px}div#p>svg>foreignObject>section hr{height:.25em;padding:0;margin:24px 0;background-color:#e1e4e8;border:0}div#p>svg>foreignObject>section blockquote{padding:0 1em;color:#6a737d;border-left:.25em solid #dfe2e5}div#p>svg>foreignObject>section blockquote>:first-child{margin-top:0}div#p>svg>foreignObject>section blockquote>:last-child{margin-bottom:0}div#p>svg>foreignObject>section 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footer{bottom:21px}div#p>svg>foreignObject>section{align-items:stretch;background:#fff;display:flex;flex-direction:column;flex-wrap:nowrap;font-size:29px;height:720px;justify-content:center;padding:78.5px;width:1280px}div#p>svg>foreignObject>section{--marpit-root-font-size:29px}div#p>svg>foreignObject>section>:last-child,div#p>svg>foreignObject>section[data-footer]>:nth-last-child(2){margin-bottom:0}div#p>svg>foreignObject>section>:first-child,div#p>svg>foreignObject>section>header:first-child+*{margin-top:0}div#p>svg>foreignObject>section:after{position:absolute;padding:0;right:30px;bottom:21px;font-size:24px;color:#777}div#p>svg>foreignObject>section:after{--marpit-root-font-size:24px}div#p>svg>foreignObject>section.invert{background-color:#222;color:#e6eaf0}div#p>svg>foreignObject>section.invert:after{color:#999}div#p>svg>foreignObject>section.invert img{background-color:transparent}div#p>svg>foreignObject>section.invert a{color:#50b3ff}div#p>svg>foreignObject>section.invert 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kbd{border-color:#666;box-shadow:inset 0 -1px 0 #555;color:#e6eaf0}div#p>svg>foreignObject>section.invert table tr{background-color:#12181d;border-color:#60657b}div#p>svg>foreignObject>section.invert table tr:nth-child(2n){background-color:#1b2024}div#p>svg>foreignObject>section.invert table td,div#p>svg>foreignObject>section.invert table th{border-color:#5b5e61}div#p>svg>foreignObject>section.invert pre{background-color:#0a0e12;border-color:#777}div#p>svg>foreignObject>section.invert pre code{background-color:transparent}div#p>svg>foreignObject>section[data-color] h1,div#p>svg>foreignObject>section[data-color] h2,div#p>svg>foreignObject>section[data-color] h3,div#p>svg>foreignObject>section[data-color] h4,div#p>svg>foreignObject>section[data-color] h5,div#p>svg>foreignObject>section[data-color] h6{color:currentColor}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]{display:block!important;padding:0!important}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]:after,div#p>svg>foreignObject>section[data-marpit-advanced-background=background]:before,div#p>svg>foreignObject>section[data-marpit-advanced-background=content]:after,div#p>svg>foreignObject>section[data-marpit-advanced-background=content]:before{display:none!important}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]{all:initial;display:flex;flex-direction:row;height:100%;overflow:hidden;width:100%}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container][data-marpit-advanced-background-direction=vertical]{flex-direction:column}div#p>svg>foreignObject>section[data-marpit-advanced-background=background][data-marpit-advanced-background-split]>div[data-marpit-advanced-background-container]{width:var(--marpit-advanced-background-split,50%)}div#p>svg>foreignObject>section[data-marpit-advanced-background=background][data-marpit-advanced-background-split=right]>div[data-marpit-advanced-background-container]{margin-left:calc(100% - var(--marpit-advanced-background-split, 50%))}div#p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]>figure{all:initial;background-position:center;background-repeat:no-repeat;background-size:cover;flex:auto;margin:0}div#p>svg>foreignObject>section[data-marpit-advanced-background=content],div#p>svg>foreignObject>section[data-marpit-advanced-background=pseudo]{background:transparent!important}div#p>svg>foreignObject>section[data-marpit-advanced-background=pseudo],div#p>svg[data-marpit-svg]>foreignObject[data-marpit-advanced-background=pseudo]{pointer-events:none!important}div#p>svg>foreignObject>section[data-marpit-advanced-background-split]{width:100%;height:100%}</style></head><body><div class="bespoke-marp-osc"><button data-bespoke-marp-osc="prev" tabindex="-1" title="Previous slide">Previous slide</button><span data-bespoke-marp-osc="page"></span><button data-bespoke-marp-osc="next" tabindex="-1" title="Next slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id="p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" data-paginate="true" data-marpit-pagination="1" data-marpit-pagination-total="19" style="--paginate:true;">
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26
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12 <h1><svg data-marp-fitting="svg"><foreignObject><span data-marp-fitting-svg-content> GearsOSのメタ計算</span></foreignObject></svg></h1>
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13 <ul>
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14 <li>清水 隆博
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15 <ul>
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16 <li>198584B</li>
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17 <li>河野研</li>
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18 </ul>
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19 </li>
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20 </ul>
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21 </section>
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27
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22 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" data-paginate="true" data-marpit-pagination="2" data-marpit-pagination-total="19" style="--paginate:true;">
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23 <h1>研究目的</h1>
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24 <ul>
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25 <li>アプリケーションの信頼性を向上させたい
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26 <ul>
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27 <li>その為には土台となる OS 自体の信頼性が重要である</li>
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28 </ul>
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29 </li>
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30 <li>OSそのものも巨大なプログラム</li>
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31 <li>並列並行処理など起因するバグや、そもそもOSを構成する処理が巨大
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32 <ul>
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33 <li>テストコードで信頼性を保証しきれない</li>
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34 </ul>
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35 </li>
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36 <li>形式手法を用いて信頼性を保証したい
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37 <ul>
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38 <li>モデル検査</li>
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39 </ul>
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40 </li>
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41 </ul>
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42 </section>
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43 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="3" data-paginate="true" data-marpit-pagination="3" data-marpit-pagination-total="19" style="--paginate:true;">
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44 <h1>ノーマルレベルとメタレベルを用いた信頼性の向上</h1>
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45 <ul>
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46 <li>プログラムの実行部分は以下の2つからなる
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47 <ul>
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48 <li>入力と出力の関係を決める計算(ノーマルレベル)</li>
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49 <li>プログラムを実行したり、 信頼性を保証するために必要な計算(メタレベル)</li>
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50 </ul>
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51 </li>
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52 <li>メタレベルの例
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53 <ul>
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54 <li>メモリやCPUの資源管理</li>
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55 <li>システムコールの動作(副作用)</li>
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56 <li>並行実行(他のプロセスとの干渉)</li>
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57 <li>モデル検査(可能な実行を列挙する方式の実行)</li>
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58 <li>証明(入力時と出力時の論理的な条件)、(invariant)</li>
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59 </ul>
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60 </li>
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61 <li>メタレベルの計算として信頼性を保証する</li>
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62 </ul>
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63 </section>
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64 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-paginate="true" data-marpit-pagination="4" data-marpit-pagination-total="19" style="--paginate:true;">
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65 <h1>モデル検査</h1>
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66 <ul>
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67 <li>実際に想定されるパターンを全て動かして検証する</li>
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68 <li>デッドロック発生の検知
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69 <ul>
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70 <li>JavaPathFinderなど</li>
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71 </ul>
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72 </li>
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73 <li>状態爆発が問題になる</li>
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74 <li>Spinを用いる方法では、 promelaという言語で実装し直す必要がある</li>
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75 </ul>
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76 </section>
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77 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" data-paginate="true" data-marpit-pagination="5" data-marpit-pagination-total="19" style="--paginate:true;">
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78 <h1>定理証明支援系</h1>
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79 <ul>
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80 <li>論理学的なモデルに変更して証明する
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26
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81 <ul>
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27
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82 <li>Agda</li>
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83 <li>Coq</li>
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84 </ul>
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85 </li>
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86 <li>HoareLogicを用いる
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87 <ul>
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88 <li>PreCondition -> Statement -> PostCondition</li>
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89 </ul>
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90 </li>
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91 <li>従来の方法ではStatementには限られたコマンドしか使えない
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92 <ul>
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93 <li>ループは不変条件を使うが、 条件を見つけることが一般的には困難</li>
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94 <li>実装言語と同じ記述で証明をすることはできない</li>
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95 </ul>
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96 </li>
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97 </ul>
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98 </section>
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99 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="6" data-paginate="true" data-marpit-pagination="6" data-marpit-pagination-total="19" style="--paginate:true;">
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100 <h1>GearsOSでの信頼性の保証</h1>
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101 <ul>
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102 <li>メタレベルのみで信頼性の保証を行う
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103 <ul>
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104 <li>ノーマルレベルでの記述は変更しない</li>
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105 </ul>
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106 </li>
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107 <li>Continuation Based C(CbC)をつかって、ノーマルレベルとメタレベルの分離を行う</li>
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108 <li>C言語の下位言語であり、 いくつかのCコンパイラ上で実装している</li>
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109 <li>C言語の構文は使用可能だが、 関数呼び出しの他に軽量継続を持つ
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110 <ul>
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111 <li>関数呼び出し時のスタックの操作を行わず<code>jmp</code>命令で次の処理に移動する</li>
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112 <li>schemaなどと違い環境を持たず継続するために軽量継続と呼ぶ</li>
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113 </ul>
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114 </li>
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115 </ul>
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116 </section>
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117 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="7" data-paginate="true" data-marpit-pagination="7" data-marpit-pagination-total="19" style="--paginate:true;">
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118 <h1>GearsOSでの信頼性の保証</h1>
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119 <ul>
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120 <li>デフォルトのメタレベルの計算は自動生成される</li>
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121 <li>資源管理あるいは検証用のメタ計算は必要に応じて挿入する</li>
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122 <li>これにより大きなコード変更が無くモデル検査や定理証明を行うことができる</li>
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123 <li>モデル検査や定理証明の困難さはメタレベルのプログラミングとして吸収する
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124 <ul>
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125 <li>例えばOSで使用するデータ構造に合わせたモデル検査用の状態圧縮</li>
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126 <li>OSの検証に利用できるinvariantの提供</li>
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127 </ul>
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128 </li>
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129 <li>CbCを用いたOSであるGearsOSを開発している</li>
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130 </ul>
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131 </section>
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132 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="8" data-paginate="true" data-marpit-pagination="8" data-marpit-pagination-total="19" style="--paginate:true;">
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133 <h1>CbCとCodeGear(ノーマルレベル)</h1>
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134 <ul>
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135 <li>軽量継続で表現する単位をCodeGearと呼ぶ</li>
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136 <li>CodeGearはCの関数とアセンブラの中間の様に使える</li>
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137 <li>CodeGearは返り値の型の代わりに<code>__code</code>で宣言する</li>
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138 </ul>
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139 <pre><code><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap>__code cbc_read(__code (*next)(int ret)){
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140 struct file *f;
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141 int n;
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142 char *p;
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143
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144 if(argfd(0, 0, &f) < 0 || argint(2, &n) < 0 || argptr(1, &p, n) < 0) {
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145 goto next(-1);
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146 }
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147 goto cbc_fileread(f, p, n, next);
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148 }
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149 </span></span></foreignObject></svg></code></pre>
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150 <ul>
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151 <li>cbcで書き直したxv6の<code>read</code>システムコールの例</li>
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26
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152 </ul>
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153 </section>
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27
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154 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="9" data-paginate="true" data-marpit-pagination="9" data-marpit-pagination-total="19" style="--paginate:true;">
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155 <h1>CbCとCodeGear(メタレベル)</h1>
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156 <ul>
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157 <li><code>cbc_read_stub</code>内で必要な引数をcontextから取り出す
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158 <ul>
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159 <li>取得するものがなければノーマルレベルのCodeGearに継続する</li>
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160 </ul>
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161 </li>
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162 </ul>
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163 <pre><code class="language-c"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-function">__code <span class="hljs-title">cbc_read_stub</span><span class="hljs-params">(struct Context* cbc_context, <span class="hljs-keyword">enum</span> Code next)</span> </span>{
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164 <span class="hljs-function"><span class="hljs-keyword">goto</span> <span class="hljs-title">cbc_read</span><span class="hljs-params">(cbc_context, next)</span></span>;
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165 }
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166 </span></span></foreignObject></svg></code></pre>
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167 </section>
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168 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="10" data-paginate="true" data-marpit-pagination="10" data-marpit-pagination-total="19" style="--paginate:true;">
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169 <h1>cbcで書き直したシステムコールディスパッチの例</h1>
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170 <ul>
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171 <li>CbCは<code>goto</code>文で呼び出す
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172 <ul>
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173 <li>受け取ったシステムコール番号に対応するCodeGearに継続する</li>
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174 </ul>
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175 </li>
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176 </ul>
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177 <pre><code class="language-c"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-function"><span class="hljs-keyword">void</span> <span class="hljs-title">syscall</span><span class="hljs-params">(<span class="hljs-keyword">void</span>)</span>
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178 </span>{
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179 <span class="hljs-keyword">int</span> num;
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180 <span class="hljs-keyword">int</span> ret;
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181
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182 <span class="hljs-keyword">if</span>((num >= NELEM(syscalls)) && (num <= NELEM(cbccodes)) && cbccodes[num]) {
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183 proc->cbc_arg.cbc_console_arg.num = num;
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184 <span class="hljs-keyword">goto</span> (cbccodes[num])(cbc_ret);
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185 }
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186 </span></span></foreignObject></svg></code></pre>
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187 </section>
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188 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="11" data-paginate="true" data-marpit-pagination="11" data-marpit-pagination-total="19" style="--paginate:true;">
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189 <h1>ノーマルレベルとメタレベルを用いた信頼性の向上</h1>
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|
|
190 <ul>
|
|
|
191 <li>プログラムの実行部分は以下の2つからなる
|
|
|
192 <ul>
|
|
|
193 <li>入力と出力の関係を決める計算(ノーマルレベル)</li>
|
|
|
194 <li>プログラムを実行したり、 信頼性を保証するために必要な計算(メタレベル)</li>
|
|
|
195 </ul>
|
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|
196 </li>
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197 <li>メタレベルの例
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198 <ul>
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199 <li>メモリやCPUの資源管理</li>
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200 <li>システムコールの動作(副作用)</li>
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201 <li>並行実行(他のプロセスとの干渉)</li>
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202 <li>モデル検査(可能な実行を列挙する方式の実行)</li>
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203 <li>証明(入力時と出力時の論理的な条件)、(invariant)</li>
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204 </ul>
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205 </li>
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206 <li>メタレベルの計算として信頼性を保証する</li>
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207 </ul>
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208 </section>
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209 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="12" data-paginate="true" data-marpit-pagination="12" data-marpit-pagination-total="19" style="--paginate:true;">
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210 <h1>モデル検査</h1>
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211 <ul>
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212 <li>実際に想定されるパターンを全て動かして検証する</li>
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213 <li>デッドロック発生の検知
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214 <ul>
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215 <li>JavaPathFinderなど</li>
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216 </ul>
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217 </li>
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218 <li>状態爆発が問題になる</li>
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219 <li>Spinを用いる方法では、 promelaという言語で実装し直す必要がある</li>
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220 </ul>
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221 </section>
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222 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="13" data-paginate="true" data-marpit-pagination="13" data-marpit-pagination-total="19" style="--paginate:true;">
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223 <h1>定理証明支援系</h1>
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224 <ul>
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225 <li>論理学的なモデルに変更して証明する
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226 <ul>
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227 <li>Agda</li>
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228 <li>Coq</li>
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229 </ul>
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230 </li>
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231 <li>HoareLogicを用いる
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232 <ul>
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233 <li>PreCondition -> Statement -> PostCondition</li>
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234 </ul>
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235 </li>
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236 <li>従来の方法ではStatementには限られたコマンドしか使えない
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237 <ul>
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238 <li>ループは不変条件を使うが、 条件を見つけることが一般的には困難</li>
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239 <li>実装言語と同じ記述で証明をすることはできない</li>
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240 </ul>
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241 </li>
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242 </ul>
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243 </section>
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244 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="14" data-paginate="true" data-marpit-pagination="14" data-marpit-pagination-total="19" style="--paginate:true;">
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245 <h1>GearsOSでの信頼性の保証</h1>
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246 <ul>
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247 <li>メタレベルのみで信頼性の保証を行う
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248 <ul>
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249 <li>ノーマルレベルでの記述は変更しない</li>
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250 </ul>
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251 </li>
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252 <li>Continuation Based C(CbC)をつかって、ノーマルレベルとメタレベルの分離を行う</li>
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253 <li>C言語の下位言語であり、 いくつかのCコンパイラ上で実装している</li>
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254 <li>C言語の構文は使用可能だが、 関数呼び出しの他に軽量継続を持つ
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255 <ul>
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256 <li>関数呼び出し時のスタックの操作を行わず<code>jmp</code>命令で次の処理に移動する</li>
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257 <li>schemaなどと違い環境を持たず継続するために軽量継続と呼ぶ</li>
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258 </ul>
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259 </li>
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260 </ul>
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261 </section>
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262 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="15" data-paginate="true" data-marpit-pagination="15" data-marpit-pagination-total="19" style="--paginate:true;">
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263 <h1>GearsOSでの信頼性の保証</h1>
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264 <ul>
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265 <li>デフォルトのメタレベルの計算は自動生成される</li>
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266 <li>資源管理あるいは検証用のメタ計算は必要に応じて挿入する</li>
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267 <li>これにより大きなコード変更が無くモデル検査や定理証明を行うことができる</li>
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268 <li>モデル検査や定理証明の困難さはメタレベルのプログラミングとして吸収する
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269 <ul>
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270 <li>例えばOSで使用するデータ構造に合わせたモデル検査用の状態圧縮</li>
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271 <li>OSの検証に利用できるinvariantの提供</li>
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272 </ul>
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273 </li>
|
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274 <li>CbCを用いたOSであるGearsOSを開発している</li>
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|
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275 </ul>
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276 </section>
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277 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="16" data-paginate="true" data-marpit-pagination="16" data-marpit-pagination-total="19" style="--paginate:true;">
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278 <h1>CbCとCodeGear(ノーマルレベル)</h1>
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279 <ul>
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280 <li>軽量継続で表現する単位をCodeGearと呼ぶ</li>
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281 <li>CodeGearはCの関数とアセンブラの中間の様に使える</li>
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282 <li>CodeGearは返り値の型の代わりに<code>__code</code>で宣言する</li>
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|
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283 </ul>
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284 <pre><code><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap>__code cbc_read(__code (*next)(int ret)){
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285 struct file *f;
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286 int n;
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287 char *p;
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288
|
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289 if(argfd(0, 0, &f) < 0 || argint(2, &n) < 0 || argptr(1, &p, n) < 0) {
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|
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290 goto next(-1);
|
|
|
291 }
|
|
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292 goto cbc_fileread(f, p, n, next);
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|
|
293 }
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|
|
294 </span></span></foreignObject></svg></code></pre>
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|
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295 <ul>
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296 <li>cbcで書き直したxv6の<code>read</code>システムコールの例</li>
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|
|
297 </ul>
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|
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298 </section>
|
|
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299 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="17" data-paginate="true" data-marpit-pagination="17" data-marpit-pagination-total="19" style="--paginate:true;">
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300 <h1>CbCとCodeGear(メタレベル)</h1>
|
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301 <ul>
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302 <li><code>cbc_read_stub</code>内で必要な引数をcontextから取り出す
|
|
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303 <ul>
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|
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304 <li>取得するものがなければノーマルレベルのCodeGearに継続する</li>
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|
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305 </ul>
|
|
|
306 </li>
|
|
|
307 </ul>
|
|
|
308 <pre><code class="language-c"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-function">__code <span class="hljs-title">cbc_read_stub</span><span class="hljs-params">(struct Context* cbc_context, <span class="hljs-keyword">enum</span> Code next)</span> </span>{
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|
309 <span class="hljs-function"><span class="hljs-keyword">goto</span> <span class="hljs-title">cbc_read</span><span class="hljs-params">(cbc_context, next)</span></span>;
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310 }
|
|
|
311 </span></span></foreignObject></svg></code></pre>
|
|
|
312 </section>
|
|
|
313 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="18" data-paginate="true" data-marpit-pagination="18" data-marpit-pagination-total="19" style="--paginate:true;">
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|
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314 <h1>cbcで書き直したシステムコールディスパッチの例</h1>
|
|
|
315 <ul>
|
|
|
316 <li>CbCは<code>goto</code>文で呼び出す
|
|
|
317 <ul>
|
|
|
318 <li>受け取ったシステムコール番号に対応するCodeGearに継続する</li>
|
|
|
319 </ul>
|
|
|
320 </li>
|
|
|
321 </ul>
|
|
|
322 <pre><code class="language-c"><svg data-marp-fitting="svg" data-marp-fitting-code><foreignObject><span data-marp-fitting-svg-content><span data-marp-fitting-svg-content-wrap><span class="hljs-function"><span class="hljs-keyword">void</span> <span class="hljs-title">syscall</span><span class="hljs-params">(<span class="hljs-keyword">void</span>)</span>
|
|
|
323 </span>{
|
|
|
324 <span class="hljs-keyword">int</span> num;
|
|
|
325 <span class="hljs-keyword">int</span> ret;
|
|
|
326
|
|
|
327 <span class="hljs-keyword">if</span>((num >= NELEM(syscalls)) && (num <= NELEM(cbccodes)) && cbccodes[num]) {
|
|
|
328 proc->cbc_arg.cbc_console_arg.num = num;
|
|
|
329 <span class="hljs-keyword">goto</span> (cbccodes[num])(cbc_ret);
|
|
|
330 }
|
|
|
331 </span></span></foreignObject></svg></code></pre>
|
|
|
332 </section>
|
|
|
333 </foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="19" data-paginate="true" data-marpit-pagination="19" data-marpit-pagination-total="19" style="--paginate:true;"></section>
|
|
26
|
334 <script>!function(){"use strict";const t="marpitSVGPolyfill:setZoomFactor,",e=Symbol();let r,o;function n(n){const i="object"==typeof n&&n.target||document,a="object"==typeof n?n.zoom:n;window[e]||(Object.defineProperty(window,e,{configurable:!0,value:!0}),window.addEventListener("message",(({data:e,origin:r})=>{if(r===window.origin)try{if(e&&"string"==typeof e&&e.startsWith(t)){const[,t]=e.split(","),r=Number.parseFloat(t);Number.isNaN(r)||(o=r)}}catch(t){console.error(t)}})));let l=!1;Array.from(i.querySelectorAll("svg[data-marpit-svg]"),(t=>{var e,n,i,s;t.style.transform||(t.style.transform="translateZ(0)");const c=a||o||t.currentScale||1;r!==c&&(r=c,l=c);const d=t.getBoundingClientRect(),{length:u}=t.children;for(let r=0;r<u;r+=1){const o=t.children[r],a=o.getScreenCTM();if(a){const t=null!==(n=null===(e=o.x)||void 0===e?void 0:e.baseVal.value)&&void 0!==n?n:0,r=null!==(s=null===(i=o.y)||void 0===i?void 0:i.baseVal.value)&&void 0!==s?s:0,l=o.firstChild,{style:u}=l;u.transformOrigin||(u.transformOrigin=`${-t}px ${-r}px`),u.transform=`scale(${c}) matrix(${a.a}, ${a.b}, ${a.c}, ${a.d}, ${a.e-d.left}, ${a.f-d.top}) translateZ(0.0001px)`}}})),!1!==l&&Array.from(i.querySelectorAll("iframe"),(({contentWindow:e})=>{null==e||e.postMessage(`${t}${l}`,"null"===window.origin?"*":window.origin)}))}r=1,o=void 0;const i=(t,e,r)=>{if(t.getAttribute(e)!==r)return t.setAttribute(e,r),!0};function a({once:t=!1,target:e=document}={}){const r="Apple Computer, Inc."===navigator.vendor?[n]:[];let o=!t;const a=()=>{for(const t of r)t({target:e});!function(t=document){Array.from(t.querySelectorAll('svg[data-marp-fitting="svg"]'),(t=>{var e;const r=t.firstChild,o=r.firstChild,{scrollWidth:n,scrollHeight:a}=o;let l,s=1;if(t.hasAttribute("data-marp-fitting-code")&&(l=null===(e=t.parentElement)||void 0===e?void 0:e.parentElement),t.hasAttribute("data-marp-fitting-math")&&(l=t.parentElement),l){const t=getComputedStyle(l),e=Math.ceil(l.clientWidth-parseFloat(t.paddingLeft||"0")-parseFloat(t.paddingRight||"0"));e&&(s=e)}const c=Math.max(n,s),d=Math.max(a,1),u=`0 0 ${c} ${d}`;i(r,"width",`${c}`),i(r,"height",`${d}`),i(t,"preserveAspectRatio",getComputedStyle(t).getPropertyValue("--preserve-aspect-ratio")||"xMinYMin meet"),i(t,"viewBox",u)&&t.classList.toggle("__reflow__")}))}(e),o&&window.requestAnimationFrame(a)};return a(),()=>{o=!1}}const l=Symbol(),s=document.currentScript;((t=document)=>{if("undefined"==typeof window)throw new Error("Marp Core's browser script is valid only in browser context.");if(t[l])return t[l];const e=a({target:t}),r=()=>{e(),delete t[l]};Object.defineProperty(t,l,{configurable:!0,value:r})})(s?s.getRootNode():document)}();
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|
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335 </script></foreignObject></svg></div><script>!function(){"use strict";var e=function(e,t){var n,r=1===(e.parent||e).nodeType?e.parent||e:document.querySelector(e.parent||e),s=[].filter.call("string"==typeof e.slides?r.querySelectorAll(e.slides):e.slides||r.children,(function(e){return"SCRIPT"!==e.nodeName})),a={},i=function(e,t){return(t=t||{}).index=s.indexOf(e),t.slide=e,t},o=function(e,t){a[e]=(a[e]||[]).filter((function(e){return e!==t}))},l=function(e,t){return(a[e]||[]).reduce((function(e,n){return e&&!1!==n(t)}),!0)},c=function(e,t){s[e]&&(n&&l("deactivate",i(n,t)),n=s[e],l("activate",i(n,t)))},d=function(e,t){var r=s.indexOf(n)+e;l(e>0?"next":"prev",i(n,t))&&c(r,t)},u={off:o,on:function(e,t){return(a[e]||(a[e]=[])).push(t),o.bind(null,e,t)},fire:l,slide:function(e,t){if(!arguments.length)return s.indexOf(n);l("slide",i(s[e],t))&&c(e,t)},next:d.bind(null,1),prev:d.bind(null,-1),parent:r,slides:s,destroy:function(e){l("destroy",i(n,e)),a={}}};return(t||[]).forEach((function(e){e(u)})),n||c(0),u};function t(e){e.parent.classList.add("bespoke-marp-parent"),e.slides.forEach((e=>e.classList.add("bespoke-marp-slide"))),e.on("activate",(t=>{const n=t.slide,r=!n.classList.contains("bespoke-marp-active");e.slides.forEach((e=>{e.classList.remove("bespoke-marp-active"),e.setAttribute("aria-hidden","true")})),n.classList.add("bespoke-marp-active"),n.removeAttribute("aria-hidden"),r&&(n.classList.add("bespoke-marp-active-ready"),document.body.clientHeight,n.classList.remove("bespoke-marp-active-ready"))}))}function n(e){let t=0,n=0;Object.defineProperty(e,"fragments",{enumerable:!0,value:e.slides.map((e=>[null,...e.querySelectorAll("[data-marpit-fragment]")]))});const r=r=>void 0!==e.fragments[t][n+r],s=(r,s)=>{t=r,n=s,e.fragments.forEach(((e,t)=>{e.forEach(((e,n)=>{if(null==e)return;const a=t<r||t===r&&n<=s;e.setAttribute("data-bespoke-marp-fragment",a?"active":"inactive"),t===r&&n===s?e.setAttribute("data-bespoke-marp-current-fragment","current"):e.removeAttribute("data-bespoke-marp-current-fragment")}))})),e.fragmentIndex=s;const a={slide:e.slides[r],index:r,fragments:e.fragments[r],fragmentIndex:s};e.fire("fragment",a)};e.on("next",(({fragment:a=!0})=>{if(a){if(r(1))return s(t,n+1),!1;const a=t+1;e.fragments[a]&&s(a,0)}else{const r=e.fragments[t].length;if(n+1<r)return s(t,r-1),!1;const a=e.fragments[t+1];a&&s(t+1,a.length-1)}})),e.on("prev",(({fragment:a=!0})=>{if(r(-1)&&a)return s(t,n-1),!1;const i=t-1;e.fragments[i]&&s(i,e.fragments[i].length-1)})),e.on("slide",(({index:t,fragment:n})=>{let r=0;if(void 0!==n){const s=e.fragments[t];if(s){const{length:e}=s;r=-1===n?e-1:Math.min(Math.max(n,0),e-1)}}s(t,r)})),s(0,0)}
|
|
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336 /*!
|
|
|
337 * screenfull
|
|
|
338 * v5.0.2 - 2020-02-13
|
|
|
339 * (c) Sindre Sorhus; MIT License
|
|
|
340 */
|
|
|
341 var r,s=(function(e){!function(){var t="undefined"!=typeof window&&void 0!==window.document?window.document:{},n=e.exports,r=function(){for(var e,n=[["requestFullscreen","exitFullscreen","fullscreenElement","fullscreenEnabled","fullscreenchange","fullscreenerror"],["webkitRequestFullscreen","webkitExitFullscreen","webkitFullscreenElement","webkitFullscreenEnabled","webkitfullscreenchange","webkitfullscreenerror"],["webkitRequestFullScreen","webkitCancelFullScreen","webkitCurrentFullScreenElement","webkitCancelFullScreen","webkitfullscreenchange","webkitfullscreenerror"],["mozRequestFullScreen","mozCancelFullScreen","mozFullScreenElement","mozFullScreenEnabled","mozfullscreenchange","mozfullscreenerror"],["msRequestFullscreen","msExitFullscreen","msFullscreenElement","msFullscreenEnabled","MSFullscreenChange","MSFullscreenError"]],r=0,s=n.length,a={};r<s;r++)if((e=n[r])&&e[1]in t){for(r=0;r<e.length;r++)a[n[0][r]]=e[r];return 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342 /*! *****************************************************************************
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343 Copyright (c) Microsoft Corporation.
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344
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345 Permission to use, copy, modify, and/or distribute this software for any
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346 purpose with or without fee is hereby granted.
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347
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348 THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH
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349 REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY
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350 AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT,
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351 INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
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352 LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR
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353 OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
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354 PERFORMANCE OF THIS SOFTWARE.
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355 ***************************************************************************** */function _(e,t,n,r){return new(n||(n=Promise))((function(s,a){function i(e){try{l(r.next(e))}catch(e){a(e)}}function o(e){try{l(r.throw(e))}catch(e){a(e)}}function l(e){var t;e.done?s(e.value):(t=e.value,t instanceof n?t:new n((function(e){e(t)}))).then(i,o)}l((r=r.apply(e,t||[])).next())}))}const G=()=>(void 0===H&&(H="wakeLock"in navigator&&navigator.wakeLock),H),Q=()=>_(void 0,void 0,void 0,(function*(){const e=G();if(e)try{const t=yield e.request("screen");return t.addEventListener("release",(()=>{console.debug("[Marp CLI] Wake Lock was released")})),console.debug("[Marp CLI] Wake Lock is active"),t}catch(e){console.warn(e)}return null}));function Z(){return _(this,void 0,void 0,(function*(){if(!G())return;let e;const t=()=>{e&&"visible"===document.visibilityState&&Q()};return document.addEventListener("visibilitychange",t),document.addEventListener("fullscreenchange",t),e=yield Q(),e}))}const ee=[p.Normal,p.Presenter,p.Next];!function(r=document.getElementById("p")){document.body.setAttribute(m,(()=>{switch(v("view")){case"next":return p.Next;case"presenter":return p.Presenter;default:return p.Normal}})());const s=(e=>{const t=v(e);return b({[e]:void 0}),t})("sync")||void 0,o=!1,d=!0,f=e(r,((...e)=>{const t=ee.findIndex((e=>g()===e));if(t<0)throw new Error("Invalid view");return e.map((([e,n])=>e[t]&&n)).filter((e=>e))})([[d,d,o],W({key:s})],[[d,d,d],X(r)],[[d,d,o],l],[[d,d,d],t],[[d,o,o],i()],[[d,d,d],c],[[d,d,d],z({history:!1})],[[d,d,o],u()],[[d,d,o],a],[[d,o,o],Y],[[d,d,o],J()],[[d,o,o],y()],[[d,d,d],n],[[d,d,o],Z]));window.addEventListener("beforeunload",(()=>b({sync:f.syncKey}))),window.addEventListener("unload",(()=>f.destroy()))}()}();</script></body></html> |
