diff --git a/specs/core/0_beacon-chain.md b/specs/core/0_beacon-chain.md
index 86b9d3547..01c90670a 100644
--- a/specs/core/0_beacon-chain.md
+++ b/specs/core/0_beacon-chain.md
@@ -941,7 +941,7 @@ def get_beacon_proposer_index(state: BeaconState,
     Returns the beacon proposer index for the ``slot``.
     """
     first_committee, _ = get_crosslink_committees_at_slot(state, slot)[0]
-    return return first_committee[slot % len(first_committee)]
+    return first_committee[slot % len(first_committee)]
 
 ```
 
diff --git a/specs/validator/0_beacon-chain-validator.md b/specs/validator/0_beacon-chain-validator.md
index 8b59f69e3..7187407bc 100644
--- a/specs/validator/0_beacon-chain-validator.md
+++ b/specs/validator/0_beacon-chain-validator.md
@@ -344,7 +344,7 @@ Either (2) or (3) occurs if (1) fails. The choice between (2) and (3) is determi
 
 ```python
 get_next_epoch_crosslink_committees(state: BeaconState,
-                                    validator_index: ValidatorIndex) -> List[List[ValidatorIndex], ShardNumber]:
+                                    validator_index: ValidatorIndex) -> List[Tuple[ValidatorIndex], ShardNumber]:
     current_epoch = get_current_epoch(state)
     next_epoch = current_epoch + 1
     next_epoch_start_slot = get_epoch_start_slot(next_epoch)