diff --git a/index.html b/index.html
index 05c35a0..b186e88 100644
--- a/index.html
+++ b/index.html
@@ -212,7 +212,7 @@ <h3>Example URL formats</h3>
     </section>
   </section>
   <section id="discovery">
-    <h2>Discovering equivalent ActivityPub objects from HTML</h2>
+    <h2>HTML to ActivityPub</h2>
     <p>This form of discovery, <dfn>forward discovery</dfn>, will identify an ActivityPub JSON-LD resource based on the HTML representation of the object.</p>
     <section>
       <h3>URL as input</h3>
@@ -525,7 +525,7 @@ <h4>Embedded JSON-LD failure</h4>
     </section>
   </section>
   <section id="reverse-discovery">
-    <h2>Discovering HTML pages from ActivityPub objects</h2>
+    <h2>ActivityPub to HTML</h2>
     <p>
         <dfn>Reverse discovery</dfn>, in this report, means identifying the HTML
         page that represents the same object as an ActivityPub JSON-LD object. This is necessary for user stories like creating a link to an actor in microsyntax.
@@ -772,7 +772,7 @@ <h5><code>url</code> property failure</h5>
     </section>
   </section>
   <section id="author-discovery">
-    <h2>Discovering ActivityPub authors from HTML</h2>
+    <h2>HTML to author ActivityPub</h2>
     <p>This section describes various methods for determining the ActivityPub ID of the author of an object represented by an HTML page.</p>
     <section>
       <h3>Discover equivalent object</h3>