diff --git a/spec.bs b/spec.bs
index 81d016fdc..e230fcc20 100644
--- a/spec.bs
+++ b/spec.bs
@@ -3679,7 +3679,6 @@ from querying the server during an auction.
 
 <div algorithm>
   To <dfn>update k-anonymity cache for key</dfn> given a [=SHA-256=] |hashCode|:
-    1. [=Assert=] that these steps are running [=in parallel=].
     1. Let |record| be a new [=k-anonymity record=].
     1. Set |record|'s [=k-anonymity record/timestamp=] field to the [=current wall time=].
     1. Set |record|'s [=k-anonymity record/is k-anonymous=] field to the result of executing [=query k-anonymity count=] for |hashCode|.
@@ -3688,7 +3687,6 @@ from querying the server during an auction.
 
 <div algorithm>
   To <dfn>update k-anonymity cache for interest group</dfn> given an [=interest group=] |ig|:
-    1. [=Assert=] that these steps are running [=in parallel=].
     1. [=list/For each=] |igAd| of |ig|'s [=interest group/ads=]:
       1. Compute the |adHashCode| following [=compute the key hash of ad=] for |ig| and |igAd|.
       1. Run [=update k-anonymity cache for key=] on |adHashCode|.