diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index 980c243..610a639 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -4,10 +4,10 @@
     <option name="autoReloadType" value="SELECTIVE" />
   </component>
   <component name="ChangeListManager">
-    <list default="true" id="f5e08808-a5af-4c89-a1ee-21b3bcb9ae3e" name="Changes" comment="isFinite methode recursiv...">
+    <list default="true" id="f5e08808-a5af-4c89-a1ee-21b3bcb9ae3e" name="Changes" comment="guess what works now, fker:)">
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAImpl.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAImpl.java" afterDir="false" />
-      <change beforePath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/Tuple.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/Tuple.java" afterDir="false" />
     </list>
     <list id="39d4ccb3-eae9-4ed4-996a-5a13f44678fa" name="Changes by carol" comment="" />
     <option name="SHOW_DIALOG" value="false" />
@@ -276,7 +276,15 @@
       <option name="project" value="LOCAL" />
       <updated>1704888180655</updated>
     </task>
-    <option name="localTasksCounter" value="10" />
+    <task id="LOCAL-00010" summary="guess what works now, fker:)">
+      <option name="closed" value="true" />
+      <created>1704896842030</created>
+      <option name="number" value="00010" />
+      <option name="presentableId" value="LOCAL-00010" />
+      <option name="project" value="LOCAL" />
+      <updated>1704896842030</updated>
+    </task>
+    <option name="localTasksCounter" value="11" />
     <servers />
   </component>
   <component name="TypeScriptGeneratedFilesManager">
@@ -301,19 +309,20 @@
     <MESSAGE value="concat GEHT" />
     <MESSAGE value="changed nfaAddTrap, bei dem Fall, dass Transition.readSymbol() einen nullwert zurückgibt. (Thx ChatGBT)&#10;-&gt; intersectionTests funktionieren" />
     <MESSAGE value="isFinite methode recursiv..." />
-    <option name="LAST_COMMIT_MESSAGE" value="isFinite methode recursiv..." />
+    <MESSAGE value="guess what works now, fker:)" />
+    <option name="LAST_COMMIT_MESSAGE" value="guess what works now, fker:)" />
   </component>
   <component name="XDebuggerManager">
     <breakpoint-manager>
       <breakpoints>
         <line-breakpoint enabled="true" type="java-line">
           <url>file://$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAImpl.java</url>
-          <line>344</line>
+          <line>343</line>
           <option name="timeStamp" value="44" />
         </line-breakpoint>
         <line-breakpoint enabled="true" type="java-line">
           <url>file://$PROJECT_DIR$/src/main/java/ab1/impl/GRUPPE/NFAImpl.java</url>
-          <line>356</line>
+          <line>355</line>
           <option name="timeStamp" value="53" />
         </line-breakpoint>
         <line-breakpoint enabled="true" type="java-line">
diff --git a/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java b/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java
index dadfdcf..ba6743a 100644
--- a/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java
+++ b/src/main/java/ab1/impl/GRUPPE/NFAFactoryImpl.java
@@ -6,8 +6,6 @@ import ab1.NFAFactory;
 public class NFAFactoryImpl implements NFAFactory {
     @Override
     public NFA buildNFA(String startState) {
-        NFA nfa = new NFAImpl(startState);
-
-        return nfa;
+        return new NFAImpl(startState);
     }
 }
diff --git a/src/main/java/ab1/impl/GRUPPE/NFAImpl.java b/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
index 34f8062..15c1b90 100644
--- a/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
+++ b/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
@@ -16,7 +16,7 @@ public class NFAImpl implements NFA {
 
     private Set<Character> alphabet;
 
-    private Set<Character> completeAlphabet;
+    private final Set<Character> completeAlphabet;
     private boolean isFinalized;
 
     public NFAImpl(String startState) {
@@ -210,8 +210,7 @@ public class NFAImpl implements NFA {
         NFA newNFA_A = this.complement();
         NFA newNFA_B = other.complement();
         NFA unionNFA = newNFA_A.union(newNFA_B);
-        NFA result = unionNFA.complement();
-        return result;
+        return unionNFA.complement();
     }
 
     @Override
@@ -447,7 +446,7 @@ public class NFAImpl implements NFA {
         // need newLetter
         for(int i=letters.indexOf(readSymbol)+1;i<letters.size();i++){
             Character newLetter = letters.get(i);
-            String newState = checkForNewLetter(path, transitions, letters, newLetter);
+            String newState = checkForNewLetter(path, transitions, newLetter);
             //more than 1 transition for new letter?
             if(newState!=null){
                 //check given state
@@ -483,10 +482,10 @@ public class NFAImpl implements NFA {
 
     /**
      * !Does not check the new state added
-     * @return state if a tostate for the newletter is found and deletes the old Tuple
-     * @return  null if with the newletter there is no transition further
+     * @return -state if a tostate for the newletter is found and deletes the old Tuple
+     *         -null if with the newletter there is no transition further
      */
-    private String checkForNewLetter(List<Tuple> path, List<Transition> transitions, List<Character> letters, Character letter){
+    private String checkForNewLetter(List<Tuple> path, List<Transition> transitions, Character letter){
         String fromState = path.get(path.size()-2).getElement_2();
         for(Transition transition : transitions){
             if (transition.fromState().equals(fromState) && transition.readSymbol().equals(letter)) {