diff --git a/src/expr_info.h b/src/expr_info.h
index 1677da4..045ce42 100644
--- a/src/expr_info.h
+++ b/src/expr_info.h
@@ -34,7 +34,10 @@ class AppInfo
   Expr d_attrConsTerm;
   /** Associated kind */
   Kind d_kind;
-  /** Overloading */
+  /**
+   * The symbols that are overloads of this symbol at the time this symbol was
+   * bound, including itself. This vector is either empty or has size >=2.
+   */
   std::vector<Expr> d_overloads;
 };
 
diff --git a/src/state.cpp b/src/state.cpp
index b7ea268..d357e35 100644
--- a/src/state.cpp
+++ b/src/state.cpp
@@ -218,6 +218,7 @@ void State::popScope()
       // it should be overloaded
       AppInfo* ai = getAppInfo(its->second.getValue());
       Assert (ai!=nullptr);
+      // we always have at least 2 overloads
       Assert (ai->d_overloads.size()>=2);
       // was overloaded, we revert the binding
       ai->d_overloads.pop_back();
@@ -1090,6 +1091,10 @@ bool State::bind(const std::string& name, const Expr& e)
     }
     else
     {
+      // Otherwise, carry all of the overloads from the previous symbol.
+      // Note that since we carry the overloads for each symbol, the space
+      // required here is quadratic, but the number of overloads per symbol
+      // should be very small.
       ovn.insert(ovn.end(), ov.begin(), ov.end());
     }
     ovn.emplace_back(e);