diff --git a/doc/paper2/LLADD.tex b/doc/paper2/LLADD.tex
index d374a8d..c81cadc 100644
--- a/doc/paper2/LLADD.tex
+++ b/doc/paper2/LLADD.tex
@@ -1908,12 +1908,12 @@ of object serialization. The first is to use a single transaction for
 each object modification, avoiding the cost of generating or logging
 any UNDO records. The second option is to assume that the
 application will provide a custom UNDO for the delta, 
-which requires a log entry for each update, 
+which increases the size of the log entry generated by each update, 
 but still avoids the need to read or update the page
 file.
 
 The third option is to relax the atomicity requirements for a set of
-object updates, and again avoid generating any UNDO records. This
+object updates and again avoid generating any UNDO records. This
 assumes that the application cannot abort individual updates, 
 and is willing to
 accept that some prefix of logged but uncommitted updates may 
@@ -1944,7 +1944,7 @@ by the page LSN so that unrelated updates remain independent.
 
 Recovery work essentially the same as before, except that we need to
 use RSNs to calculate the earliest allowed point for log truncation
-(so as to not lose an older record update).  In the implementation, we
+(so as to not lose an older record update).  In practice, we
 also periodically flush the object cache to move the truncation point
 forward, but this is not required.