diff --git a/stormvogel/model.py b/stormvogel/model.py
index a9daa30..2a17a9e 100644
--- a/stormvogel/model.py
+++ b/stormvogel/model.py
@@ -804,6 +804,8 @@ def get_action(self, name: str) -> Action:
             )
         assert self.actions is not None
         if name not in self.actions:
+            print(name)
+            print(self.actions)
             raise RuntimeError(
                 f"Tried to get action {name} but that action does not exist"
             )
diff --git a/stormvogel/pgc.py b/stormvogel/pgc.py
index 68c80dd..4588c21 100644
--- a/stormvogel/pgc.py
+++ b/stormvogel/pgc.py
@@ -33,6 +33,8 @@ def __eq__(self, other):
 def build_pgc(
     delta,  # Callable[[State, Action], list[tuple[float, State]]],
     initial_state_pgc: State,  # TODO rewards function, label function
+    rewards=None,
+    labels=None,
     available_actions: Callable[[State], list[Action]] | None = None,
     modeltype: stormvogel.model.ModelType = stormvogel.model.ModelType.MDP,
 ) -> stormvogel.model.Model:
@@ -67,13 +69,13 @@ def build_pgc(
     while len(states_to_be_visited) > 0:
         state = states_to_be_visited[0]
         states_to_be_visited.remove(state)
-        # we loop over all available actions and call the delta function for each action
         transition = {}
 
         if state not in states_seen:
             states_seen.append(state)
 
         if model.supports_actions():
+            # we loop over all available actions and call the delta function for each action
             assert available_actions is not None
             for action in available_actions(state):
                 try:
@@ -98,8 +100,6 @@ def build_pgc(
                         branch.append((tuple[0], new_state))
                         states_to_be_visited.append(tuple[1])
                     else:
-                        # print(tuple[1].__dict__)
-                        # print(model.states)
                         branch.append(
                             (tuple[0], model.get_state_by_name(str(tuple[1].__dict__)))
                         )
@@ -133,4 +133,29 @@ def build_pgc(
             stormvogel.model.Transition(transition),
         )
 
+    # we add the rewards
+    # TODO support multiple reward models
+    if rewards is not None:
+        rewardmodel = model.add_rewards("rewards")
+        if model.supports_actions():
+            for state in states_seen:
+                assert available_actions is not None
+                for action in available_actions(state):
+                    reward = rewards(state, action)
+                    s = model.get_state_by_name(str(state.__dict__))
+                    assert s is not None
+                    rewardmodel.set_state_action_reward(
+                        s,
+                        model.get_action(str(action.labels)),
+                        reward,
+                    )
+        else:
+            for state in states_seen:
+                reward = rewards(state)
+                s = model.get_state_by_name(str(state.__dict__))
+                assert s is not None
+                rewardmodel.set_state_reward(s, reward)
+
+    # we add the labels
+
     return model
diff --git a/tests/test_pgc.py b/tests/test_pgc.py
index 107540c..b3b79ed 100644
--- a/tests/test_pgc.py
+++ b/tests/test_pgc.py
@@ -16,6 +16,9 @@ def test_pgc_mdp():
     def available_actions(s: pgc.State):
         return [left, right]
 
+    def rewards(s: pgc.State, a: pgc.Action):
+        return 1
+
     def delta(s: pgc.State, action: pgc.Action):
         if action == left:
             return (
@@ -40,6 +43,7 @@ def delta(s: pgc.State, action: pgc.Action):
         delta=delta,
         available_actions=available_actions,
         initial_state_pgc=initial_state,
+        rewards=rewards,
     )
 
     # we build the model in the regular way:
@@ -60,6 +64,10 @@ def delta(s: pgc.State, action: pgc.Action):
     model.add_transitions(state2, stormvogel.model.Transition({right: branch2}))
     model.add_transitions(state0, stormvogel.model.Transition({left: branch0}))
 
+    rewardmodel = model.add_rewards("rewards")
+    for i in range(2 * N):
+        rewardmodel.set_state_action_reward_at_id(i, 1)
+
     assert model == pgc_model
 
 
@@ -68,6 +76,9 @@ def test_pgc_dtmc():
     p = 0.5
     initial_state = pgc.State(s=0)
 
+    def rewards(s: pgc.State):
+        return 1
+
     def delta(s: pgc.State):
         match s.s:
             case 0:
@@ -96,6 +107,7 @@ def delta(s: pgc.State):
     pgc_model = stormvogel.pgc.build_pgc(
         delta=delta,
         initial_state_pgc=initial_state,
+        rewards=rewards,
         modeltype=stormvogel.model.ModelType.DTMC,
     )
 
@@ -161,4 +173,8 @@ def delta(s: pgc.State):
     model.set_transitions(model.get_state_by_id(12), [(1, model.get_state_by_id(13))])
     model.set_transitions(model.get_state_by_id(13), [(1, model.get_state_by_id(13))])
 
+    rewardmodel = model.add_rewards("rewards")
+    for state in model.states.values():
+        rewardmodel.set_state_reward(state, 1)
+
     assert pgc_model == model