vault backup: 2026-04-08 17:42:58

.obsidian/workspace.json

@@ -13,7 +13,7 @@
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               "type": "markdown",
               "state": {
-                "file": "10 Courses/02 - SoSe 2026/Automatentheorie und formale Sprachen/29593852 - Strings.md",
+                "file": "10 Courses/02 - SoSe 2026/AT/29593852 - Strings.md",
                 "mode": "source",
                 "source": false
               },
@@ -27,12 +27,12 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "10 Courses/02 - SoSe 2026/Automatentheorie und formale Sprachen/29593975 - Regular Expressions.md",
+                "file": "10 Courses/02 - SoSe 2026/AT/29593850 - Automationtheory.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "29593975 - Regular Expressions"
+              "title": "29593850 - Automationtheory"
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@@ -41,7 +41,7 @@
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               "type": "markdown",
               "state": {
-                "file": "10 Courses/02 - SoSe 2026/Automatentheorie und formale Sprachen/29593952 - Regular Languages.md",
+                "file": "10 Courses/02 - SoSe 2026/AT/29593952 - Regular Languages.md",
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@@ -211,25 +211,27 @@
       "darlal-switcher-plus:Open Symbols for the active editor": false
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-    "10 Courses/02 - SoSe 2026/Automatentheorie und formale Sprachen/29593958 - Kleene star of languages.md",
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+    "10 Courses/02 - SoSe 2026/AT/29593958 - Kleene star of languages.md",
+    "20 Atlas/AT - Map of Content.md",
+    "20 Atlas/ET II - Map of Content.md",
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+    "10 Courses/02 - SoSe 2026/AT/29593850 - Automationtheory.md",
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10 Courses/02 - SoSe 2026/AT/29593935 - Kleene Star & Kleene Plus.md

@@ -11,14 +11,15 @@ tags:
 ## 📌 Summary
 
 > [!abstract]
-> 
+> Definition and Examples of the Kleene Star, the Kleene Plus and the Lemma Group Structure
+ 
 
 ---
 
 ## 📝 Content
 
 ### Kleene Star
-Denoted by $Sigma^*$. The Kleene Star (or _Kleene operator_ or _Kleene Closure_) gives an infinite amount of strings made up of the characters of the alphabet $Sigma ^ *$. 
+Denoted by $Sigma^*$. The Kleene Star (or _Kleene operator_ or _Kleene Closure_) gives an infinite amount of [[29593852 - Strings|strings]] made up of the characters of the [[29593929 - Alphabets|alphabets]] $Sigma ^ *$. 
 $Sigma^*$ is the set of all string that can be generated by arbitrary concatenation of its characters.
 > $Sigma^* := union.big_(n>=0) A_n$
 > where $A_n$ is the set of all string combinations of length $n$
@@ -38,7 +39,7 @@ $Sigma^*$ is the set of all string that can be generated by arbitrary concatenat
 The _Kleene Plus_ of an alphabet $Sigma$ is given by $Sigma^+ = Sigma^* backslash {epsilon}$ 
 
 ### Lemma group structure
-The structure _Lemma_ is induced by the Kleene star - it is a monoid, that is a semigroup with a neutral element.
+The _Lemma group structure_ is induced by the [[29593935 - Kleene Star & Kleene Plus#Kleene Star|Kleene Star]] - it is a monoid, that is a semigroup with a neutral element.
 
 > [!PROOF]
 > - Associativity has been shown

20 Atlas/AT - Map of Content.md

@@ -0,0 +1,6 @@
+```dataview
+TABLE topic AS "Concept", status AS "Review Status"
+FROM "10 Courses/02 - SoSe 2026/AT"
+WHERE type = "lecture" OR type = "concept"
+SORT created ASC
+```