diff --git a/specs/light_client/sync_protocol.md b/specs/light_client/sync_protocol.md
index b84d55dcf..2a420abcb 100644
--- a/specs/light_client/sync_protocol.md
+++ b/specs/light_client/sync_protocol.md
@@ -69,14 +69,14 @@ A light client will keep track of:
 
 * A random `shard_id` in `[0...SHARD_COUNT-1]` (selected once and retained forever)
 * A block header that they consider to be finalized (`finalized_header`) and do not expect to revert.
-* `later_period_data = get_maximal_later_committee(finalized_header, shard_id)`
-* `earlier_period_data = get_maximal_earlier_committee(finalized_header, shard_id)`
+* `later_period_data = get_later_period_data(finalized_header, shard_id)`
+* `earlier_period_data = get_earlier_period_data(finalized_header, shard_id)`
 
 We use the struct `validator_memory` to keep track of these variables.
 
 ### Updating the shuffled committee
 
-If a client's `validator_memory.finalized_header` changes so that `header.slot // PERSISTENT_COMMITTEE_PERIOD` increases, then the client can ask the network for a `new_committee_proof = MerklePartial(get_maximal_later_committee, validator_memory.finalized_header, shard_id)`. It can then compute:
+If a client's `validator_memory.finalized_header` changes so that `header.slot // PERSISTENT_COMMITTEE_PERIOD` increases, then the client can ask the network for a `new_committee_proof = MerklePartial(get_later_period_data, validator_memory.finalized_header, shard_id)`. It can then compute:
 
 ```python
 earlier_period_data = later_period_data
@@ -95,13 +95,13 @@ def compute_committee(header: BeaconBlockHeader,
                       
     earlier_validator_count = validator_memory.earlier_period_data.validator_count
     later_validator_count = validator_memory.later_period_data.validator_count
-    earlier_committee = validator_memory.earlier_period_data.committee
-    later_committee = validator_memory.later_period_data.committee
+    maximal_earlier_committee = validator_memory.earlier_period_data.committee
+    maximal_later_committee = validator_memory.later_period_data.committee
     earlier_start_epoch = get_earlier_start_epoch(header.slot)
     later_start_epoch = get_later_start_epoch(header.slot)
     epoch = slot_to_epoch(header.slot)
     
-    actual_committee_count = max(
+    committee_count = max(
         earlier_validator_count // (SHARD_COUNT * TARGET_COMMITTEE_SIZE),
         later_validator_count // (SHARD_COUNT * TARGET_COMMITTEE_SIZE),
     ) + 1