diff --git a/info4/kapitel-10/Das Halteproblem.ipynb b/info4/kapitel-10/Das Halteproblem.ipynb
new file mode 100644
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+ "# Das (spezielle) Halteproblem\n",
+ "\n",
+ "Im Skript wird das Halteproblem formal definiert. Hier wollen wir das Halteproblem einmal intuitiv betrachten.\n",
+ "\n",
+ "Intuitiv gesehen stellt man beim speziellen Halteproblem die Frage, ob eine Turingmaschiene hält, wenn Sie sich selbst als eine Eingabe erhält.\n",
+ "Um Turingmaschienen als Eingaben nutzen zu können benötigen wir eine Darstellung als Wörter über einem Alphabet. Als Alphabet wählen wir $\\Sigma$ = {0, 1} und als Möglichkeit eine TM über $\\Sigma$ darzustellen wählen wir die Gödelisierung. Die genau Definition finden Sie im Skript auf Seite 153 (zwischen Korrolar 10.18 und Beispiel 10.19). Für unsere Zwecke reicht es allerdings aus zu verstehen, dass mit der Gödelisierung jeder TM ein Wort aus $\\Sigma^*$ zugeordet wird. Auf Grund der Art der Gödelisierung gilt die Umkehrung allerdings nicht. Um die Umkehrabbildung angeben zu können sei $M_0$ eine beliebige feste TM. Dann ist für jedes Wort $w\\in\\Sigma^*$ eine TM $M_w$ definiert durch:\n",
+ "\n",
+ "$M_w$ = M, falls w = code(M)\n",
+ "\n",
+ "$M_w$ = $M_0$, sonst\n",
+ "\n",
+ "Mit dieser Definition lässt sich das spezielle Halteproblem definieren als:\n",
+ "$K=\\{w\\in\\{0,1\\}^* | \\text{$M_w$ angesetzt auf w hält nach endlich vielen Schritten}\\}$\n",
+ "\n",
+ "Nun zeigen wir, dass K nicht entscheidbar ist, es also keine TM gibt, die für jedes $x\\in\\Sigma^*$ entscheidet, ob es in K liegt oder nicht. Für einen Wiederspruchsbeweis nehmen wir an, dass K entscheidbar wäre.\n",
+ "\n",
+ "Sei H dann die TM, die für alle x entscheided, ob x in K liegt oder nicht.\n",
+ "Wenn also die TM M mit code(M)=x hält, dann gibt H bei der Eingabe x 1 und sonst 0 aus.\n",
+ "\n",
+ "Sei nun N eine TM, die bei der Eingabe 1 in eine Endlosschleife läuft und bei der Eingabe 0 eine 1 ausgibt.\n",
+ "\n",
+ "Betrachten wir nun die TM C, die aus der Hintereinanderschaltung von H und N entsteht.\n",
+ "Wenn wir C auf die Gödelisierung einer TM anwenden, die mit sich selbst als Eingabe hält, dann gibt H eine 1 aus und somit hält N nicht an. Damit hält auch C nicht.\n",
+ "Und wenn wir C auf die Gödelisierung einer TM anwenden, die in eine Endlosschleife läuft, wenn Sie sich selbst als Eingabe erhält, dann gibt H eine O aus und somit N eine 1 und C hält.\n",
+ "\n",
+ "Wenn wir nun C auf sich selbst anwenden, was geschieht dann?\n",
+ "Angenommen C hält, dann gibt H eine 1 aus und N läuft in eine Endlosschleife. Daher hält C nicht.\n",
+ "Wenn C allerdings in eine Endlosschleife läuft, dann gibt H eine 0 aus und somit N eine 1. Damit hält C.\n",
+ "Dies ist ein Wiederspruch dazu, dass K entscheidbar ist."
+ ]
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+ "<table align=\"LEFT\">\n",
+ " <tr>\n",
+ " <td width=50%><center>Die Turingmaschiene $H$</center></td>\n",
+ " <td width=50%><center>Die Turingmaschiene $N$</center></td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <td width=50% align=\"CENTER\"><img src=\"./img/TM H.svg\" width=100%></td>\n",
+ " <td width=50%><img src=\"./img/TM N.svg\" width=100%></td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <td width=100% colspan=2><center>Die Turingmaschiene $C$</center></td>\n",
+ " </tr>\n",
+ " <tr>\n",
+ " <td width=100% colspan=2><img src=\"./img/TM C2.svg\" width=100%></td>\n",
+ " </tr>\n",
+ "</table>"
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diff --git a/info4/kapitel-10/img/TM C.svg b/info4/kapitel-10/img/TM C.svg
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+ <path d="M 8,1128 L 1137,1128 1137,0 8,0 8,1128 Z"/>
+ </g>
+ <g id="bullet-char-template-10146" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M 174,0 L 602,739 174,1481 1456,739 174,0 Z M 1358,739 L 309,1346 659,739 1358,739 Z"/>
+ </g>
+ <g id="bullet-char-template-10132" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M 2015,739 L 1276,0 717,0 1260,543 174,543 174,936 1260,936 717,1481 1274,1481 2015,739 Z"/>
+ </g>
+ <g id="bullet-char-template-10007" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M 0,-2 C -7,14 -16,27 -25,37 L 356,567 C 262,823 215,952 215,954 215,979 228,992 255,992 264,992 276,990 289,987 310,991 331,999 354,1012 L 381,999 492,748 772,1049 836,1024 860,1049 C 881,1039 901,1025 922,1006 886,937 835,863 770,784 769,783 710,716 594,584 L 774,223 C 774,196 753,168 711,139 L 727,119 C 717,90 699,76 672,76 641,76 570,178 457,381 L 164,-76 C 142,-110 111,-127 72,-127 30,-127 9,-110 8,-76 1,-67 -2,-52 -2,-32 -2,-23 -1,-13 0,-2 Z"/>
+ </g>
+ <g id="bullet-char-template-10004" transform="scale(0.00048828125,-0.00048828125)">
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+ </g>
+ <g id="bullet-char-template-9679" transform="scale(0.00048828125,-0.00048828125)">
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+ </g>
+ <g id="bullet-char-template-8226" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M 346,457 C 273,457 209,483 155,535 101,586 74,649 74,723 74,796 101,859 155,911 209,963 273,989 346,989 419,989 480,963 531,910 582,859 608,796 608,723 608,648 583,586 532,535 482,483 420,457 346,457 Z"/>
+ </g>
+ <g id="bullet-char-template-8211" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M -4,459 L 1135,459 1135,606 -4,606 -4,459 Z"/>
+ </g>
+ <g id="bullet-char-template-61548" transform="scale(0.00048828125,-0.00048828125)">
+ <path d="M 173,740 C 173,903 231,1043 346,1159 462,1274 601,1332 765,1332 928,1332 1067,1274 1183,1159 1299,1043 1357,903 1357,740 1357,577 1299,437 1183,322 1067,206 928,148 765,148 601,148 462,206 346,322 231,437 173,577 173,740 Z"/>
+ </g>
+ </defs>
+ <g>
+ <g id="id2" class="Master_Slide">
+ <g id="bg-id2" class="Background"/>
+ <g id="bo-id2" class="BackgroundObjects"/>
+ </g>
+ </g>
+ <g class="SlideGroup">
+ <g>
+ <g id="container-id1">
+ <g id="id1" class="Slide" clip-path="url(#presentation_clip_path)">
+ <g class="Page">
+ <g class="Graphic">
+ <g id="id3">
+ <rect class="BoundingBox" stroke="none" fill="none" x="4700" y="1092" width="21693" height="5225"/>
+ <defs>
+ <clipPath id="clip_path_1" clipPathUnits="userSpaceOnUse">
+ <path d="M 4728,1117 L 26143,1117 26143,6307 4728,6307 4728,1117 Z"/>
+ </clipPath>
+ </defs>
+ <g clip-path="url(#clip_path_1)">
+ <path fill="none" stroke="rgb(0,0,0)" stroke-width="25" stroke-linejoin="miter" d="M 10949,6002 L 8448,6002 8448,1406 13451,1406 13451,6002 10949,6002 Z"/>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 6463,3745 L 8168,3725 8169,3799 8389,3686 8166,3577 8167,3651 6463,3671 6463,3745 Z"/>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="6787" y="3612"><tspan fill="rgb(0,0,0)" stroke="none">code(M) für </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="6787" y="3962"><tspan fill="rgb(0,0,0)" stroke="none">eine TM M</tspan></tspan></tspan></text>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 13455,2636 L 15968,3606 15995,3537 16162,3720 15915,3744 15942,3675 13428,2705 13455,2636 Z"/>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 13454,4686 L 15965,3794 15990,3864 16162,3686 15916,3655 15940,3725 13429,4617 13454,4686 Z"/>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="277px" font-weight="400"><tspan class="TextPosition" x="13720" y="1932"><tspan fill="rgb(0,0,0)" stroke="none">1, falls M bei </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="277px" font-weight="400"><tspan class="TextPosition" x="13720" y="2246"><tspan fill="rgb(0,0,0)" stroke="none">Eingabe code(M) </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="277px" font-weight="400"><tspan class="TextPosition" x="13720" y="2578"><tspan fill="rgb(0,0,0)" stroke="none">hält </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="13768" y="4830"><tspan fill="rgb(0,0,0)" stroke="none">0, sonst </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="443px" font-weight="400"><tspan class="TextPosition" x="8753" y="2153"><tspan fill="rgb(0,0,0)" stroke="none">Die TM H</tspan></tspan></tspan></text>
+ <path fill="none" stroke="rgb(0,0,0)" stroke-width="74" stroke-linejoin="miter" d="M 21121,5338 C 21121,4976 21316,4682 21555,4682 21795,4682 21989,4976 21989,5338 21989,5700 21795,5993 21555,5993 21316,5993 21121,5700 21121,5338 Z"/>
+ <path fill="rgb(255,255,255)" stroke="none" d="M 18703,5928 L 16146,5928 16146,1664 21260,1664 21260,5928 18703,5928 Z"/>
+ <path fill="none" stroke="rgb(0,0,0)" stroke-width="25" stroke-linejoin="miter" d="M 18703,5928 L 16146,5928 16146,1664 21260,1664 21260,5928 18703,5928 Z"/>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 21251,2799 L 24059,2799 24059,2726 24280,2836 24059,2947 24059,2873 21251,2873 21251,2799 Z"/>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="21569" y="2596"><tspan fill="rgb(0,0,0)" stroke="none">1, falls die </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="21569" y="3298"><tspan fill="rgb(0,0,0)" stroke="none">Eingabe 0 ist </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="22159" y="5218"><tspan fill="rgb(0,0,0)" stroke="none">Endlosschleife, </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="295px" font-weight="400"><tspan class="TextPosition" x="22159" y="5568"><tspan fill="rgb(0,0,0)" stroke="none">sonst </tspan></tspan></tspan></text>
+ <text class="TextShape"><tspan class="TextParagraph" font-family="Calibri, sans-serif" font-size="443px" font-weight="400"><tspan class="TextPosition" x="16457" y="2393"><tspan fill="rgb(0,0,0)" stroke="none">Die TM N</tspan></tspan></tspan></text>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 21272,6018 L 21251,5771 21461,5902 21272,6018 Z"/>
+ <path fill="none" stroke="rgb(47,82,143)" stroke-width="25" stroke-linejoin="miter" d="M 15444,6298 L 6602,6298 6602,1129 24287,1129 24287,6298 15444,6298 Z"/>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 4728,3667 L 6371,3667 6371,3593 6593,3704 6371,3815 6371,3741 4728,3741 4728,3667 Z"/>
+ <path fill="rgb(0,0,0)" stroke="none" d="M 24278,2799 L 25922,2799 25922,2726 26143,2836 25922,2947 25922,2873 24278,2873 24278,2799 Z"/>
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+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+</svg>
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diff --git a/info4/kapitel-10/img/TM H.svg b/info4/kapitel-10/img/TM H.svg
new file mode 100644
index 0000000000000000000000000000000000000000..b6857edeadf72276b3fed8427f9cc3971c0a87b1
--- /dev/null
+++ b/info4/kapitel-10/img/TM H.svg
@@ -0,0 +1 @@
+<svg width="853" height="234" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" overflow="hidden"><defs><clipPath id="clip0"><rect x="162" y="141" width="853" height="234"/></clipPath></defs><g clip-path="url(#clip0)" transform="translate(-162 -141)"><rect x="319.5" y="143.5" width="443" height="230" stroke="#000000" stroke-width="1.33333" stroke-miterlimit="8" fill="none"/><path d="M168 256 309.486 256 309.486 260 168 260ZM307.486 252 319.486 258 307.486 264Z"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="24" transform="translate(177.101 236)">code(M) für<tspan x="0" y="58">eine TM M</tspan></text><path d="M762 205 992.359 205 992.359 209 762 209ZM990.359 201 1002.36 207 990.359 213Z"/><path d="M762 304 992.359 304 992.359 308 762 308ZM990.359 300 1002.36 306 990.359 312Z"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="24" transform="translate(783.855 185)">1, falls M bei Eingabe<tspan x="0" y="58">code(M) hält</tspan><tspan x="6.10352e-05" y="101">0, sonst</tspan><tspan x="-443.153" y="-2">Die TM H</tspan></text></g></svg>
\ No newline at end of file
diff --git a/info4/kapitel-10/img/TM H2.svg b/info4/kapitel-10/img/TM H2.svg
new file mode 100644
index 0000000000000000000000000000000000000000..9f9a681bb10e369021cfb2ebdb2c4c8a9d4ab3b3
--- /dev/null
+++ b/info4/kapitel-10/img/TM H2.svg
@@ -0,0 +1 @@
+<svg width="1160" height="282" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" overflow="hidden"><defs><clipPath id="clip0"><rect x="59" y="219" width="1160" height="282"/></clipPath></defs><g clip-path="url(#clip0)" transform="translate(-59 -219)"><rect x="261.5" y="235.5" width="271" height="249" stroke="#000000" stroke-width="1.33333" stroke-miterlimit="8" fill="none"/><path d="M0.0236198-1.99986 94.3379-0.885938 94.2907 3.11378-0.0236198 1.99986ZM92.3853-4.90928 104.314 1.23202 92.2436 7.08988Z" transform="matrix(1 0 0 -1 161 360.232)"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="16" transform="translate(178.04 355)">code(M) für<tspan x="0" y="19">eine TM M</tspan></text><path d="M532.72 302.134 670.737 355.422 669.296 359.154 531.28 305.866ZM670.312 350.97 679.345 360.89 665.99 362.165Z"/><path d="M0.669392-1.88465 138.591 47.1025 137.252 50.8718-0.669392 1.88465ZM138.045 42.6639 147.345 52.3342 134.029 53.9718Z" transform="matrix(1 0 0 -1 532 411.334)"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="15" transform="translate(549.699 270)">1, falls M bei <tspan x="0" y="17">Eingabe code(M) </tspan><tspan x="0" y="35">hält</tspan><tspan font-size="16" x="-0.000183105" y="151">0, sonst</tspan><tspan font-size="24" x="-271.662" y="6">Die TM H</tspan></text><path d="M948 448.5C948 428.894 958.521 413 971.5 413 984.479 413 995 428.894 995 448.5 995 468.106 984.479 484 971.5 484 958.521 484 948 468.106 948 448.5Z" stroke="#000000" stroke-width="4" stroke-miterlimit="8" fill="none" fill-rule="evenodd"/><rect x="678.5" y="249.5" width="277" height="231" stroke="#000000" stroke-width="1.33333" stroke-miterlimit="8" fill="#FFFFFF"/><path d="M955 311 1094.83 311 1094.83 315 955 315ZM1092.83 307 1104.83 313 1092.83 319Z"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="16" transform="translate(972.277 300)">1, falls die <tspan x="0" y="38">Eingabe 0 ist</tspan><tspan x="31.9123" y="142">Endlosschleife, </tspan><tspan x="31.9123" y="161">sonst</tspan><tspan font-size="24" x="-276.951" y="-11">Die TM N</tspan></text><path d="M956.183 485.364 955 472 966.401 479.072Z"/><rect x="161.5" y="220.5" width="944" height="280" stroke="#2F528F" stroke-width="1.33333" stroke-miterlimit="8" fill="none"/><path d="M60 358 151.027 358 151.027 362 60 362ZM149.027 354 161.027 360 149.027 366Z"/><path d="M1105 313 1196.03 313 1196.03 317 1105 317ZM1194.03 309 1206.03 315 1194.03 321Z"/></g></svg>
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diff --git a/info4/kapitel-10/img/TM N.svg b/info4/kapitel-10/img/TM N.svg
new file mode 100644
index 0000000000000000000000000000000000000000..6883d36ac620ce97a1bd5d28d5035e39ce531cd0
--- /dev/null
+++ b/info4/kapitel-10/img/TM N.svg
@@ -0,0 +1 @@
+<svg width="838" height="243" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" overflow="hidden"><defs><clipPath id="clip0"><rect x="162" y="141" width="838" height="243"/></clipPath></defs><g clip-path="url(#clip0)" transform="translate(-162 -141)"><path d="M750 342C750 322.67 766.789 307 787.5 307 808.211 307 825 322.67 825 342 825 361.33 808.211 377 787.5 377 766.789 377 750 361.33 750 342Z" stroke="#000000" stroke-width="4" stroke-miterlimit="8" fill="none" fill-rule="evenodd"/><rect x="319.5" y="143.5" width="443" height="230" stroke="#000000" stroke-width="1.33333" stroke-miterlimit="8" fill="#FFFFFF"/><path d="M0.0195984-1.9999 141.506-0.613381 141.467 3.38643-0.0195984 1.9999ZM139.546-4.63279 151.486 1.48451 139.428 7.36664Z" transform="matrix(1 0 0 -1 168 259.485)"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="24" transform="translate(177.101 236)">0 oder 1</text><path d="M1.05382e-06-2 189.249-1.9999 189.249 2.0001-1.05382e-06 2ZM187.249-5.9999 199.249 0.000104987 187.249 6.0001Z" transform="matrix(1 0 0 -1 762 207)"/><text font-family="Calibri,Calibri_MSFontService,sans-serif" font-weight="400" font-size="24" transform="translate(783.855 185)">1, falls die <tspan x="0" y="58">Eingabe 0 ist</tspan><tspan x="50.6421" y="149">Endlosschleife, </tspan><tspan x="50.6421" y="178">sonst</tspan><tspan x="-443.153" y="-2">Die TM N</tspan></text><path d="M766.143 377.761 762 365 774.694 369.342Z"/></g></svg>
\ No newline at end of file