diff --git a/abl/bridge/base_bridge.py b/abl/bridge/base_bridge.py
index d09f1e0..03054f7 100644
--- a/abl/bridge/base_bridge.py
+++ b/abl/bridge/base_bridge.py
@@ -26,12 +26,12 @@ class BaseBridge(metaclass=ABCMeta):
         """Placeholder for abduce pseudo labels."""
 
     @abstractmethod
-    def label_to_pseudo_label(self, label: List[List[Any]]) -> List[List[Any]]:
+    def idx_to_pseudo_label(self, idx: List[List[Any]]) -> List[List[Any]]:
         """Placeholder for map label space to symbol space."""
         pass
 
     @abstractmethod
-    def pseudo_label_to_label(self, pseudo_label: List[List[Any]]) -> List[List[Any]]:
+    def pseudo_label_to_idx(self, pseudo_label: List[List[Any]]) -> List[List[Any]]:
         """Placeholder for map symbol space to label space."""
         pass
     
diff --git a/abl/bridge/simple_bridge.py b/abl/bridge/simple_bridge.py
index bc58699..7286d42 100644
--- a/abl/bridge/simple_bridge.py
+++ b/abl/bridge/simple_bridge.py
@@ -22,28 +22,27 @@ class SimpleBridge(BaseBridge):
 
     def predict(self, X) -> Tuple[List[List[Any]], ndarray]:
         pred_res = self.model.predict(X)
-        pred_label, pred_prob = pred_res["label"], pred_res["prob"]
-        return pred_label, pred_prob
+        pred_idx, pred_prob = pred_res["label"], pred_res["prob"]
+        return pred_idx, pred_prob
     
     def abduce_pseudo_label(
         self,
-        pred_label: List[List[Any]],
         pred_prob: ndarray,
-        pseudo_label: List[List[Any]],
-        Y: List[List[Any]],
+        pred_pseudo_label: List[List[Any]],
+        Y: List[Any],
         max_revision: int = -1,
         require_more_revision: int = 0,
     ) -> List[List[Any]]:
-        return self.abducer.batch_abduce(pred_prob, pseudo_label, Y, max_revision, require_more_revision)
+        return self.abducer.batch_abduce(pred_prob, pred_pseudo_label, Y, max_revision, require_more_revision)
 
-    def label_to_pseudo_label(
-        self, label: List[List[Any]], mapping: Dict = None
+    def idx_to_pseudo_label(
+        self, idx: List[List[Any]], mapping: Dict = None
     ) -> List[List[Any]]:
         if mapping is None:
             mapping = self.abducer.mapping
-        return [[mapping[_label] for _label in sub_list] for sub_list in label]
+        return [[mapping[_idx] for _idx in sub_list] for sub_list in idx]
 
-    def pseudo_label_to_label(
+    def pseudo_label_to_idx(
         self, pseudo_label: List[List[Any]], mapping: Dict = None
     ) -> List[List[Any]]:
         if mapping is None:
@@ -69,12 +68,12 @@ class SimpleBridge(BaseBridge):
 
         for epoch in range(epochs):
             for seg_idx, (X, Z, Y) in enumerate(data_loader):
-                pred_label, pred_prob = self.predict(X)
-                pred_pseudo_label = self.label_to_pseudo_label(pred_label)
+                pred_idx, pred_prob = self.predict(X)
+                pred_pseudo_label = self.idx_to_pseudo_label(pred_idx)
                 abduced_pseudo_label = self.abduce_pseudo_label(
-                    pred_label, pred_prob, pred_pseudo_label, Y
+                    pred_prob, pred_pseudo_label, Y
                 )
-                abduced_label = self.pseudo_label_to_label(abduced_pseudo_label)
+                abduced_label = self.pseudo_label_to_idx(abduced_pseudo_label)
                 min_loss = self.model.train(X, abduced_label)
 
                 print_log(
@@ -88,10 +87,10 @@ class SimpleBridge(BaseBridge):
 
     def _valid(self, data_loader):
         for X, Z, Y in data_loader:
-            pred_label, pred_prob = self.predict(X)
-            pred_pseudo_label = self.label_to_pseudo_label(pred_label)
+            pred_idx, pred_prob = self.predict(X)
+            pred_pseudo_label = self.idx_to_pseudo_label(pred_idx)
             data_samples = dict(
-                pred_label=pred_label,
+                pred_idx=pred_idx,
                 pred_prob=pred_prob,
                 pred_pseudo_label=pred_pseudo_label,
                 gt_pseudo_label=Z,
diff --git a/abl/reasoning/reasoner.py b/abl/reasoning/reasoner.py
index 93e005e..0a15781 100644
--- a/abl/reasoning/reasoner.py
+++ b/abl/reasoning/reasoner.py
@@ -119,13 +119,13 @@ class ReasonerBase():
         solution = Opt.min(objective, parameter).get_x()
         return solution
 
-    def revise_by_idx(self, pseudo_label, y, revision_idx):
+    def revise_by_idx(self, pred_pseudo_label, y, revision_idx):
         """
         Get the revisions corresponding to the given indices.
 
         Parameters
         ----------
-        pseudo_label : list
+        pred_pseudo_label : list
             List of predicted pseudo labels.
         y : str
             Ground truth for the predicted results.
@@ -137,7 +137,7 @@ class ReasonerBase():
         list
             The revisions corresponding to the given indices.
         """
-        return self.kb.revise_by_idx(pseudo_label, y, revision_idx)
+        return self.kb.revise_by_idx(pred_pseudo_label, y, revision_idx)
 
     def abduce(self, pred_prob, pred_pseudo_label, y, max_revision=-1, require_more_revision=0):
         """