diff --git a/info4/kapitel-2/RegulaereAusdruecke.ipynb b/info4/kapitel-2/RegulaereAusdruecke.ipynb
index 09323d44135a06c09f872a046d58f48db049c89e..3283846ec4ea0dcd6199ee7def0c80919bece684 100644
--- a/info4/kapitel-2/RegulaereAusdruecke.ipynb
+++ b/info4/kapitel-2/RegulaereAusdruecke.ipynb
@@ -38,7 +38,8 @@
     "* $\\{\\lambda\\}$ falls $\\gamma = \\lambda$\n",
     "* $\\{a\\}$ falls $\\gamma = a$ für ein $a \\in \\Sigma$\n",
     "* $L(\\alpha) L(\\beta)$ falls $\\gamma = \\alpha \\beta$\n",
-    "* $L(\\alpha) \\cup L(\\beta)$ falls $\\gamma = (\\alpha + \\beta)$"
+    "* $L(\\alpha) \\cup L(\\beta)$ falls $\\gamma = (\\alpha + \\beta)$\n",
+    "* $L(\\alpha)^{*}$ falls $\\gamma = (\\alpha)^{*}$."
    ]
   },
   {
@@ -58,7 +59,14 @@
     "Der reguläre Ausdruck \n",
     "* $\\alpha_1 = (\\lambda + a(a+b)^{*})$\n",
     "beschreibt die Sprache\n",
-    "* $L(\\alpha_1) = \\{\\lambda\\} \\cup \\{ax \\mid x \\in \\{a,b\\}^{*}\\}$\n",
+    "* $L(\\alpha_1)$ = \n",
+    "* $L(\\lambda + a(a+b)^{*})$ =\n",
+    "* $L(\\lambda) \\cup L(a(a+b)^{*})$ =\n",
+    "* $\\{\\lambda\\} \\cup L(a)L((a+b)^{*})$ =\n",
+    "* $\\{\\lambda\\} \\cup \\{a\\}(L(a+b))^{*}$ =\n",
+    "* $\\{\\lambda\\} \\cup \\{a\\}(L(a)\\cup L(b))^{*}$ =\n",
+    "* $\\{\\lambda\\} \\cup \\{a\\}(\\{a,b\\})^{*}$ =\n",
+    "* $\\{\\lambda\\} \\cup \\{ax \\mid x \\in \\{a,b\\}^{*}\\}$\n",
     "d.h. das leere Wort und alle Wörter über $\\Sigma$, die mit $a$\n",
     "beginnen.\n",
     "\n",
@@ -77,7 +85,8 @@
     "\n",
     "Um mit den praktischen Aspekten der regulären Ausdrücke zu experimentieren laden wir eine Bibliothek.\n",
     "In dieser Bibliothek wird der Plus Operator anders geschrieben: ```a|b```.\n",
-    "Es gibt nicht den regulären Ausdruck $\\emptyset$, aber dafür viele andere (abgeleitete) Operatoren (syntaktische Zucker), zum Beispiel:\n",
+    "\n",
+    "Es gibt auch nicht den regulären Ausdruck $\\emptyset$, aber dafür viele andere (abgeleitete) Operatoren (sogenannter syntaktischer Zucker), zum Beispiel:\n",
     "* $\\alpha^+$ als Kürzel für $\\alpha(\\alpha)^*$\n",
     "* [a-z] als Kürzel für $(a+b+c+d+...+z)$\n",
     "\n"
@@ -85,7 +94,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
@@ -94,7 +103,7 @@
        "Loaded machine: Regex"
       ]
      },
-     "execution_count": 1,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -108,7 +117,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -117,7 +126,7 @@
        "Machine initialised using operation 0: $initialise_machine()"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -135,7 +144,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 6,
    "metadata": {},
    "outputs": [
     {
@@ -147,7 +156,7 @@
        "TRUE"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -158,7 +167,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
@@ -170,18 +179,18 @@
        "TRUE"
       ]
      },
-     "execution_count": 4,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "REGEX_MATCH(\"b\",\"a|b\")"
+    "REGEX_MATCH(\"a\",\"a|b\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 14,
    "metadata": {},
    "outputs": [
     {
@@ -193,18 +202,18 @@
        "TRUE"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "REGEX_MATCH(\"aa\",\"a*\")"
+    "REGEX_MATCH(\"aaaaaaa\",\"a*\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 15,
    "metadata": {},
    "outputs": [
     {
@@ -216,7 +225,7 @@
        "TRUE"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 15,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -235,25 +244,25 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 20,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/markdown": [
-       "$\\renewcommand{\\emptyset}{\\mathord\\varnothing}\\mathit{rec}(\\mathit{length}\\in 3,\\mathit{position}\\in 1,\\mathit{string}\\in\\text{\"aab\"},\\mathit{submatches}\\in\\emptyset)$"
+       "$\\renewcommand{\\emptyset}{\\mathord\\varnothing}\\mathit{rec}(\\mathit{length}\\in 3,\\mathit{position}\\in 4,\\mathit{string}\\in\\text{\"aab\"},\\mathit{submatches}\\in\\emptyset)$"
       ],
       "text/plain": [
-       "rec(length∈3,position∈1,string∈\"aab\",submatches∈∅)"
+       "rec(length∈3,position∈4,string∈\"aab\",submatches∈∅)"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 20,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "REGEX_SEARCH(\"aabc\",1,\"a*b\")"
+    "REGEX_SEARCH(\"xxxaabc\",1,\"a*b\")"
    ]
   },
   {
@@ -265,7 +274,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 21,
    "metadata": {},
    "outputs": [
     {
@@ -277,7 +286,7 @@
        "{(1↦\"aab\"),(2↦\"bb\"),(3↦\"a\")}"
       ]
      },
-     "execution_count": 8,
+     "execution_count": 21,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -296,7 +305,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 22,
    "metadata": {},
    "outputs": [
     {
@@ -308,7 +317,7 @@
        "\"\\nFAUST:\\n  Habe nun, ach!  Philosophie,\\n  Juristerei und Medizin,\\n  Und leider auch Theologie\\n  Durchaus studiert, mit heißem Bemühn.\\n  Da steh ich nun, ich armer Tor!\\n  Und bin so klug als wie zuvor;\\n  Heiße Magister, heiße Doktor gar\\n  Und ziehe schon an die zehen Jahr\\n  Herauf, herab und quer und krumm\\n  Meine Schüler an der Nase herum-\\n  Und sehe, daß wir nichts wissen können!\\n  Das will mir schier das Herz verbrennen.\\n  Zwar bin ich gescheiter als all die Laffen,\\n  Doktoren, Magister, Schreiber und Pfaffen;\\n  Mich plagen keine Skrupel noch Zweifel,\\n  Fürchte mich weder vor Hölle noch Teufel-\\n  Dafür ist mir auch alle Freud entrissen,\\n  Bilde mir nicht ein, was Rechts zu wissen,\\n  Bilde mir nicht ein, ich könnte was lehren,\\n  Die Menschen zu bessern und zu bekehren.\\n  Auch hab ich weder Gut noch Geld,\\n  Noch Ehr und Herrlichkeit der Welt;\\n  Es möchte kein Hund so länger leben!\\n  Drum hab ich mich der Magie ergeben,\\n  Ob mir durch Geistes Kraft und Mund\\n  Nicht manch Geheimnis würde kund;\\n  Daß ich nicht mehr mit saurem Schweiß\\n  Zu sagen brauche, was ich nicht weiß;\\n  Daß ich erkenne, was die Welt\\n  Im Innersten zusammenhält,\\n  Schau alle Wirkenskraft und Samen,\\n  Und tu nicht mehr in Worten kramen.\\n  \""
       ]
      },
-     "execution_count": 9,
+     "execution_count": 22,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -353,7 +362,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 23,
    "metadata": {},
    "outputs": [
     {
@@ -365,7 +374,7 @@
        "{(1↦\"ich\"),(2↦\"ich\"),(3↦\"ich\"),(4↦\"ich\"),(5↦\"ich\"),(6↦\"ich\"),(7↦\"ich\"),(8↦\"ich\"),(9↦\"ich\"),(10↦\"ich\"),(11↦\"ich\"),(12↦\"ich\"),(13↦\"ich\"),(14↦\"ich\"),(15↦\"ich\"),(16↦\"ich\"),(17↦\"ich\"),(18↦\"ich\"),(19↦\"ich\"),(20↦\"ich\")}"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 23,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -376,7 +385,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 24,
    "metadata": {},
    "outputs": [
     {
@@ -388,7 +397,7 @@
        "rec(length∈3,position∈802,string∈\"Gut\",submatches∈∅)"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 24,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -399,7 +408,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
@@ -411,7 +420,7 @@
        "{(1↦\"Gut\"),(2↦\"Geld\"),(3↦\"Geistes\"),(4↦\"Geheimnis\")}"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 25,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -422,10 +431,56 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 26,
    "metadata": {},
-   "outputs": [],
-   "source": []
+   "outputs": [
+    {
+     "data": {
+      "text/markdown": [
+       "$\\{(1\\mapsto\\text{\"der Nase\"}),(2\\mapsto\\text{\"der Gut\"}),(3\\mapsto\\text{\"der Welt\"}),(4\\mapsto\\text{\"der Magie\"})\\}$"
+      ],
+      "text/plain": [
+       "{(1↦\"der Nase\"),(2↦\"der Gut\"),(3↦\"der Welt\"),(4↦\"der Magie\")}"
+      ]
+     },
+     "execution_count": 26,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "REGEX_SEARCH_ALL(txt,\"der ([A-Z][a-z]*)\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Kleine Anmerkung: mit Klammern kann man oft Gruppen bilden und herausfinden welches Teilwort von einer Gruppe generiert wurde."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/markdown": [
+       "$\\mathit{rec}(\\mathit{length}\\in 8,\\mathit{position}\\in 326,\\mathit{string}\\in\\text{\"der Nase\"},\\mathit{submatches}\\in\\{(1\\mapsto\\text{\"Nase\"})\\})$"
+      ],
+      "text/plain": [
+       "rec(length∈8,position∈326,string∈\"der Nase\",submatches∈{(1↦\"Nase\")})"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "REGEX_SEARCH(txt,1,\"der ([A-Z][a-z]*)\")"
+   ]
   },
   {
    "cell_type": "markdown",
@@ -440,7 +495,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 28,
    "metadata": {},
    "outputs": [
     {
@@ -452,7 +507,7 @@
        "{(1↦\"Geld\"),(2↦\"Geis\"),(3↦\"Gehe\")}"
       ]
      },
-     "execution_count": 13,
+     "execution_count": 28,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -463,7 +518,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 29,
    "metadata": {},
    "outputs": [
     {
@@ -475,7 +530,7 @@
        "{(1↦\"Geld\"),(2↦\"Geistes\"),(3↦\"Geheimnis\")}"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 29,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -486,7 +541,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 30,
    "metadata": {},
    "outputs": [
     {
@@ -498,7 +553,7 @@
        "{(1↦\"Gut\"),(2↦\"Geld\"),(3↦\"Geis\"),(4↦\"Gehe\")}"
       ]
      },
-     "execution_count": 15,
+     "execution_count": 30,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -517,7 +572,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 31,
    "metadata": {},
    "outputs": [
     {
@@ -529,7 +584,7 @@
        "rec(length∈1,position∈1,string∈\"a\",submatches∈∅)"
       ]
      },
-     "execution_count": 16,
+     "execution_count": 31,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -540,7 +595,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 32,
    "metadata": {},
    "outputs": [
     {
@@ -552,7 +607,7 @@
        "rec(length∈3,position∈4,string∈\"a|b\",submatches∈∅)"
       ]
      },
-     "execution_count": 17,
+     "execution_count": 32,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -563,7 +618,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [
     {
@@ -575,7 +630,7 @@
        "rec(length∈1,position∈1,string∈\"a\",submatches∈∅)"
       ]
      },
-     "execution_count": 18,
+     "execution_count": 33,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -586,7 +641,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
@@ -598,7 +653,7 @@
        "rec(length∈2,position∈4,string∈\"a+\",submatches∈∅)"
       ]
      },
-     "execution_count": 19,
+     "execution_count": 34,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -618,14 +673,14 @@
     "* ```\\S``` für ein Zeichen, dass kein Leerzeichen ist\n",
     "* ```\\w``` für ein alpha-numerisches Zeichen oder den Underscore\n",
     "* ```\\W``` für ein Zeichen, dass kein alpha-numerisches Zeichen und kein Underscore ist\n",
-    "* ```.``` für all Zeichen ausser Zeilenumbrüche\n",
+    "* ```.```  für alle Zeichen ausser Zeilenumbrüchen\n",
     "* ```\\n``` für einen Zeilenumbruch\n",
     "* ```\\t``` für ein Tabulatorzeichen\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
@@ -637,7 +692,7 @@
        "{(1↦\"ab\"),(2↦\"cd\"),(3↦\"ef\")}"
       ]
      },
-     "execution_count": 20,
+     "execution_count": 35,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -648,7 +703,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
@@ -660,7 +715,7 @@
        "{(1↦\"FAUST\"),(2↦\"Habe\"),(3↦\"nun\"),(4↦\"ach\"),(5↦\"Philosophie\"),(6↦\"Juristerei\"),(7↦\"und\"),(8↦\"Medizin\"),(9↦\"Und\"),(10↦\"leider\"),(11↦\"auch\"),(12↦\"Theologie\"),(13↦\"Durchaus\"),(14↦\"studiert\"),(15↦\"mit\"),(16↦\"heißem\"),(17↦\"Bemühn\"),(18↦\"Da\"),(19↦\"steh\"),(20↦\"ich\"),(21↦\"nun\"),(22↦\"ich\"),(23↦\"armer\"),(24↦\"Tor\"),(25↦\"Und\"),(26↦\"bin\"),(27↦\"so\"),(28↦\"klug\"),(29↦\"als\"),(30↦\"wie\"),(31↦\"zuvor\"),(32↦\"Heiße\"),(33↦\"Magister\"),(34↦\"heiße\"),(35↦\"Doktor\"),(36↦\"gar\"),(37↦\"Und\"),(38↦\"ziehe\"),(39↦\"schon\"),(40↦\"an\"),(41↦\"die\"),(42↦\"zehen\"),(43↦\"Jahr\"),(44↦\"Herauf\"),(45↦\"herab\"),(46↦\"und\"),(47↦\"quer\"),(48↦\"und\"),(49↦\"krumm\"),(50↦\"Meine\"),(51↦\"Schüler\"),(52↦\"an\"),(53↦\"der\"),(54↦\"Nase\"),(55↦\"herum\"),(56↦\"Und\"),(57↦\"sehe\"),(58↦\"daß\"),(59↦\"wir\"),(60↦\"nichts\"),(61↦\"wissen\"),(62↦\"können\"),(63↦\"Das\"),(64↦\"will\"),(65↦\"mir\"),(66↦\"schier\"),(67↦\"das\"),(68↦\"Herz\"),(69↦\"verbrennen\"),(70↦\"Zwar\"),(71↦\"bin\"),(72↦\"ich\"),(73↦\"gescheiter\"),(74↦\"als\"),(75↦\"all\"),(76↦\"die\"),(77↦\"Laffen\"),(78↦\"Doktoren\"),(79↦\"Magister\"),(80↦\"Schreiber\"),(81↦\"und\"),(82↦\"Pfaffen\"),(83↦\"Mich\"),(84↦\"plagen\"),(85↦\"keine\"),(86↦\"Skrupel\"),(87↦\"noch\"),(88↦\"Zweifel\"),(89↦\"Fürchte\"),(90↦\"mich\"),(91↦\"weder\"),(92↦\"vor\"),(93↦\"Hölle\"),(94↦\"noch\"),(95↦\"Teufel\"),(96↦\"Dafür\"),(97↦\"ist\"),(98↦\"mir\"),(99↦\"auch\"),(100↦\"alle\"),(101↦\"Freud\"),(102↦\"entrissen\"),(103↦\"Bilde\"),(104↦\"mir\"),(105↦\"nicht\"),(106↦\"ein\"),(107↦\"was\"),(108↦\"Rechts\"),(109↦\"zu\"),(110↦\"wissen\"),(111↦\"Bilde\"),(112↦\"mir\"),(113↦\"nicht\"),(114↦\"ein\"),(115↦\"ich\"),(116↦\"könnte\"),(117↦\"was\"),(118↦\"lehren\"),(119↦\"Die\"),(120↦\"Menschen\"),(121↦\"zu\"),(122↦\"bessern\"),(123↦\"und\"),(124↦\"zu\"),(125↦\"bekehren\"),(126↦\"Auch\"),(127↦\"hab\"),(128↦\"ich\"),(129↦\"weder\"),(130↦\"Gut\"),(131↦\"noch\"),(132↦\"Geld\"),(133↦\"Noch\"),(134↦\"Ehr\"),(135↦\"und\"),(136↦\"Herrlichkeit\"),(137↦\"der\"),(138↦\"Welt\"),(139↦\"Es\"),(140↦\"möchte\"),(141↦\"kein\"),(142↦\"Hund\"),(143↦\"so\"),(144↦\"länger\"),(145↦\"leben\"),(146↦\"Drum\"),(147↦\"hab\"),(148↦\"ich\"),(149↦\"mich\"),(150↦\"der\"),(151↦\"Magie\"),(152↦\"ergeben\"),(153↦\"Ob\"),(154↦\"mir\"),(155↦\"durch\"),(156↦\"Geistes\"),(157↦\"Kraft\"),(158↦\"und\"),(159↦\"Mund\"),(160↦\"Nicht\"),(161↦\"manch\"),(162↦\"Geheimnis\"),(163↦\"würde\"),(164↦\"kund\"),(165↦\"Daß\"),(166↦\"ich\"),(167↦\"nicht\"),(168↦\"mehr\"),(169↦\"mit\"),(170↦\"saurem\"),(171↦\"Schweiß\"),(172↦\"Zu\"),(173↦\"sagen\"),(174↦\"brauche\"),(175↦\"was\"),(176↦\"ich\"),(177↦\"nicht\"),(178↦\"weiß\"),(179↦\"Daß\"),(180↦\"ich\"),(181↦\"erkenne\"),(182↦\"was\"),(183↦\"die\"),(184↦\"Welt\"),(185↦\"Im\"),(186↦\"Innersten\"),(187↦\"zusammenhält\"),(188↦\"Schau\"),(189↦\"alle\"),(190↦\"Wirkenskraft\"),(191↦\"und\"),(192↦\"Samen\"),(193↦\"Und\"),(194↦\"tu\"),(195↦\"nicht\"),(196↦\"mehr\"),(197↦\"in\"),(198↦\"Worten\"),(199↦\"kramen\")}"
       ]
      },
-     "execution_count": 21,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -671,7 +726,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
@@ -683,7 +738,7 @@
        "{\"Auch\",\"Bemühn\",\"Bilde\",\"Da\",\"Dafür\",\"Das\",\"Daß\",\"Die\",\"Doktor\",\"Doktoren\",\"Drum\",\"Durchaus\",\"Ehr\",\"Es\",\"FAUST\",\"Freud\",\"Fürchte\",\"Geheimnis\",\"Geistes\",\"Geld\",\"Gut\",\"Habe\",\"Heiße\",\"Herauf\",\"Herrlichkeit\",\"Herz\",\"Hund\",\"Hölle\",\"Im\",\"Innersten\",\"Jahr\",\"Juristerei\",\"Kraft\",\"Laffen\",\"Magie\",\"Magister\",\"Medizin\",\"Meine\",\"Menschen\",\"Mich\",\"Mund\",\"Nase\",\"Nicht\",\"Noch\",\"Ob\",\"Pfaffen\",\"Philosophie\",\"Rechts\",\"Samen\",\"Schau\",\"Schreiber\",\"Schweiß\",\"Schüler\",\"Skrupel\",\"Teufel\",\"Theologie\",\"Tor\",\"Und\",\"Welt\",\"Wirkenskraft\",\"Worten\",\"Zu\",\"Zwar\",\"Zweifel\",\"ach\",\"all\",\"alle\",\"als\",\"an\",\"armer\",\"auch\",\"bekehren\",\"bessern\",\"bin\",\"brauche\",\"das\",\"daß\",\"der\",\"die\",\"durch\",\"ein\",\"entrissen\",\"ergeben\",\"erkenne\",\"gar\",\"gescheiter\",\"hab\",\"heiße\",\"heißem\",\"herab\",\"herum\",\"ich\",\"in\",\"ist\",\"kein\",\"keine\",\"klug\",\"kramen\",\"krumm\",\"kund\",\"können\",\"könnte\",\"leben\",\"lehren\",\"leider\",\"länger\",\"manch\",\"mehr\",\"mich\",\"mir\",\"mit\",\"möchte\",\"nicht\",\"nichts\",\"noch\",\"nun\",\"plagen\",\"quer\",\"sagen\",\"saurem\",\"schier\",\"schon\",\"sehe\",\"so\",\"steh\",\"studiert\",\"tu\",\"und\",\"verbrennen\",\"vor\",\"was\",\"weder\",\"weiß\",\"wie\",\"will\",\"wir\",\"wissen\",\"würde\",\"zehen\",\"ziehe\",\"zu\",\"zusammenhält\",\"zuvor\"}"
       ]
      },
-     "execution_count": 22,
+     "execution_count": 37,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -694,7 +749,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
@@ -706,7 +761,7 @@
        "{(1↦\"\\nFAUST\")}"
       ]
      },
-     "execution_count": 23,
+     "execution_count": 38,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -717,7 +772,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 24,
+   "execution_count": 39,
    "metadata": {},
    "outputs": [
     {
@@ -729,7 +784,7 @@
        "{(1↦\"\\nFAUST\"),(2↦\"\\n  Habe\"),(3↦\"\\n  Juristerei\"),(4↦\"\\n  Und\"),(5↦\"\\n  Durchaus\"),(6↦\"\\n  Da\"),(7↦\"\\n  Und\"),(8↦\"\\n  Heiße\"),(9↦\"\\n  Und\"),(10↦\"\\n  Herauf\"),(11↦\"\\n  Meine\"),(12↦\"\\n  Und\"),(13↦\"\\n  Das\"),(14↦\"\\n  Zwar\"),(15↦\"\\n  Doktoren\"),(16↦\"\\n  Mich\"),(17↦\"\\n  Fürchte\"),(18↦\"\\n  Dafür\"),(19↦\"\\n  Bilde\"),(20↦\"\\n  Bilde\"),(21↦\"\\n  Die\"),(22↦\"\\n  Auch\"),(23↦\"\\n  Noch\"),(24↦\"\\n  Es\"),(25↦\"\\n  Drum\"),(26↦\"\\n  Ob\"),(27↦\"\\n  Nicht\"),(28↦\"\\n  Daß\"),(29↦\"\\n  Zu\"),(30↦\"\\n  Daß\"),(31↦\"\\n  Im\"),(32↦\"\\n  Schau\"),(33↦\"\\n  Und\")}"
       ]
      },
-     "execution_count": 24,
+     "execution_count": 39,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -740,19 +795,19 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 40,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/markdown": [
-       "$\\text{\" \\npublic class HelloWorld {\\n    public static void main(String[] args) {\\n        System.out.println(\\\"Hello, World\\\");\\n        int res1 = 2*3;\\n        System.out.println(res);\\n    }\\n}\\n\"}$"
+       "$\\text{\" \\npublic class HelloWorld {\\n    public static void main(String[] args) {\\n        System.out.println(\\\"Hello, World\\\");\\n        int res1 = 22*33;\\n        System.out.println(res);\\n    }\\n}\\n\"}$"
       ],
       "text/plain": [
-       "\" \\npublic class HelloWorld {\\n    public static void main(String[] args) {\\n        System.out.println(\\\"Hello, World\\\");\\n        int res1 = 2*3;\\n        System.out.println(res);\\n    }\\n}\\n\""
+       "\" \\npublic class HelloWorld {\\n    public static void main(String[] args) {\\n        System.out.println(\\\"Hello, World\\\");\\n        int res1 = 22*33;\\n        System.out.println(res);\\n    }\\n}\\n\""
       ]
      },
-     "execution_count": 37,
+     "execution_count": 40,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -771,7 +826,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 26,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -783,18 +838,18 @@
        "\"\\b[A-Za-z_][A-Za-z0-9_]*\""
       ]
      },
-     "execution_count": 26,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    ":let ID \"\\b[A-Za-z_][A-Za-z0-9_]*\""
+    ":let Bezeichner \"\\b[A-Za-z_][A-Za-z0-9_]*\""
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 31,
+   "execution_count": 42,
    "metadata": {},
    "outputs": [
     {
@@ -806,87 +861,87 @@
        "\"\\b[0-9]+\""
       ]
      },
-     "execution_count": 31,
+     "execution_count": 42,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    ":let Int \"\\b[0-9]+\""
+    ":let Zahl \"\\b[0-9]+\""
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 45,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/markdown": [
-       "$\\text{\"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\"}$"
+       "$\\{(1\\mapsto\\text{\"public\"}),(2\\mapsto\\text{\"class\"}),(3\\mapsto\\text{\"HelloWorld\"}),(4\\mapsto\\text{\"public\"}),(5\\mapsto\\text{\"static\"}),(6\\mapsto\\text{\"void\"}),(7\\mapsto\\text{\"main\"}),(8\\mapsto\\text{\"String\"}),(9\\mapsto\\text{\"args\"}),(10\\mapsto\\text{\"System\"}),(11\\mapsto\\text{\"out\"}),(12\\mapsto\\text{\"println\"}),(13\\mapsto\\text{\"Hello\"}),(14\\mapsto\\text{\"World\"}),(15\\mapsto\\text{\"int\"}),(16\\mapsto\\text{\"res1\"}),(17\\mapsto\\text{\"System\"}),(18\\mapsto\\text{\"out\"}),(19\\mapsto\\text{\"println\"}),(20\\mapsto\\text{\"res\"})\\}$"
       ],
       "text/plain": [
-       "\"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\""
+       "{(1↦\"public\"),(2↦\"class\"),(3↦\"HelloWorld\"),(4↦\"public\"),(5↦\"static\"),(6↦\"void\"),(7↦\"main\"),(8↦\"String\"),(9↦\"args\"),(10↦\"System\"),(11↦\"out\"),(12↦\"println\"),(13↦\"Hello\"),(14↦\"World\"),(15↦\"int\"),(16↦\"res1\"),(17↦\"System\"),(18↦\"out\"),(19↦\"println\"),(20↦\"res\")}"
       ]
      },
-     "execution_count": 45,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    ":let ComposedID \"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\""
+    "REGEX_SEARCH_ALL(jt,Bezeichner)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/markdown": [
-       "$\\{(1\\mapsto\\text{\"public\"}),(2\\mapsto\\text{\"class\"}),(3\\mapsto\\text{\"HelloWorld\"}),(4\\mapsto\\text{\"public\"}),(5\\mapsto\\text{\"static\"}),(6\\mapsto\\text{\"void\"}),(7\\mapsto\\text{\"main\"}),(8\\mapsto\\text{\"String\"}),(9\\mapsto\\text{\"args\"}),(10\\mapsto\\text{\"System\"}),(11\\mapsto\\text{\"out\"}),(12\\mapsto\\text{\"println\"}),(13\\mapsto\\text{\"Hello\"}),(14\\mapsto\\text{\"World\"}),(15\\mapsto\\text{\"int\"}),(16\\mapsto\\text{\"res1\"}),(17\\mapsto\\text{\"System\"}),(18\\mapsto\\text{\"out\"}),(19\\mapsto\\text{\"println\"}),(20\\mapsto\\text{\"res\"})\\}$"
+       "$\\{(1\\mapsto\\text{\"22\"}),(2\\mapsto\\text{\"33\"})\\}$"
       ],
       "text/plain": [
-       "{(1↦\"public\"),(2↦\"class\"),(3↦\"HelloWorld\"),(4↦\"public\"),(5↦\"static\"),(6↦\"void\"),(7↦\"main\"),(8↦\"String\"),(9↦\"args\"),(10↦\"System\"),(11↦\"out\"),(12↦\"println\"),(13↦\"Hello\"),(14↦\"World\"),(15↦\"int\"),(16↦\"res1\"),(17↦\"System\"),(18↦\"out\"),(19↦\"println\"),(20↦\"res\")}"
+       "{(1↦\"22\"),(2↦\"33\")}"
       ]
      },
-     "execution_count": 46,
+     "execution_count": 44,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "REGEX_SEARCH_ALL(jt,ID)"
+    "REGEX_SEARCH_ALL(jt,Zahl)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/markdown": [
-       "$\\{(1\\mapsto\\text{\"2\"}),(2\\mapsto\\text{\"3\"})\\}$"
+       "$\\text{\"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\"}$"
       ],
       "text/plain": [
-       "{(1↦\"2\"),(2↦\"3\")}"
+       "\"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\""
       ]
      },
-     "execution_count": 47,
+     "execution_count": 45,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "REGEX_SEARCH_ALL(jt,Int)"
+    ":let ComposedID \"\\b([A-Za-z_][A-Za-z0-9_]*)(\\.([A-Za-z_][A-Za-z0-9_]*))+\""
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 48,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
@@ -898,7 +953,7 @@
        "{(1↦\"System.out.println\"),(2↦\"System.out.println\")}"
       ]
      },
-     "execution_count": 48,
+     "execution_count": 46,
      "metadata": {},
      "output_type": "execute_result"
     }