diff --git a/src/main/java/ab1/impl/GRUPPE/NFAImpl.java b/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
index 4431d6e..37beec5 100644
--- a/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
+++ b/src/main/java/ab1/impl/GRUPPE/NFAImpl.java
@@ -3,6 +3,7 @@ package ab1.impl.GRUPPE;
 import ab1.FinalizedStateException;
 import ab1.NFA;
 import ab1.Transition;
+import lombok.Getter;
 
 import java.util.Collection;
 import java.util.HashSet;
@@ -11,16 +12,24 @@ import java.util.Set;
 public class NFAImpl implements NFA {
     private Set<String> states;
     private Set<Transition> transitions;
+
     private String initialState;
     private Set<String> acceptingStates;
+
+    @Getter
+    private Set<Character> alphabet;
+
     private boolean isFinalized;
 
     public NFAImpl(String startState) {
         this.initialState = startState;
         this.states = new HashSet<>();
+        this.states.add(startState);
         this.transitions = new HashSet<>();
         this.acceptingStates = new HashSet<>();
+        this.alphabet = new HashSet<>();
         this.isFinalized = false;
+
     }
 
     @Override
@@ -34,7 +43,6 @@ public class NFAImpl implements NFA {
 
     @Override
     public Set<String> getAcceptingStates() {
-
         return this.acceptingStates;
     }
 
@@ -48,6 +56,8 @@ public class NFAImpl implements NFA {
         if (this.isFinalized) {
             throw new FinalizedStateException();
         } else if (!this.transitions.contains(transition)) {
+            // add symbol to alphabet. If it is already in the alphabet, nothing happens
+            this.alphabet.add(transition.readSymbol());
             this.transitions.add(transition);
         }
     }
@@ -57,29 +67,11 @@ public class NFAImpl implements NFA {
         if (this.isFinalized) {
             throw new FinalizedStateException();
         } else if (!this.states.contains(state)) {
+            this.states.add(state);
             this.acceptingStates.add(state);
         }
     }
 
-    // warum gabs die methode nicht schon vorher? weil i a idiot bin und man die direct adden kann.
-    /*
-    public void addAllStates(Set<String> states) throws FinalizedStateException {
-        if (this.isFinalized) {
-            throw new FinalizedStateException();
-        } else {
-            this.states.addAll(states);
-        }
-    }
-
-    public void addAllTransitions(Set<Transition> transitions) throws FinalizedStateException {
-        if (this.isFinalized) {
-            throw new FinalizedStateException();
-        } else {
-            this.transitions.addAll(transitions);
-        }
-    }
-     */
-
     // #TODO
     @Override
     public NFA union(NFA other) throws FinalizedStateException {
@@ -155,14 +147,23 @@ public class NFAImpl implements NFA {
     // #TODO
     @Override
     public NFA complement() throws FinalizedStateException {
+        if(!this.isFinalized){
+            throw new FinalizedStateException();
+        }
+
+        NFAImpl complementNFA = new NFAImpl(this.initialState);
+        complementNFA.states.addAll(this.states);
+        complementNFA.transitions.addAll(this.transitions);
+
+        /*
+        for(String state : this.states){
+
+        }
+        */
+
         return null;
     }
 
-    public void turnNFAIntoDFA(NFAImpl nfa) {
-        // #TODO
-    }
-
-
     @Override
     public boolean isFinalized() {
         return isFinalized;
@@ -176,7 +177,9 @@ public class NFAImpl implements NFA {
     // #TODO
     @Override
     public boolean isFinite() {
-        //check if finite
+        //transitions={fromState==toState}
+        //states={A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}
+        //obergrenze = anzahl der states (26)
         return false;
     }
 
diff --git a/target/classes/ab1/impl/GRUPPE/NFAImpl.class b/target/classes/ab1/impl/GRUPPE/NFAImpl.class
index 20f4f53..407ea7a 100644
Binary files a/target/classes/ab1/impl/GRUPPE/NFAImpl.class and b/target/classes/ab1/impl/GRUPPE/NFAImpl.class differ