diff --git a/NEWS b/NEWS
index 538b84f7b..827a300df 100644
--- a/NEWS
+++ b/NEWS
@@ -23,6 +23,8 @@ New in spot 2.3.2.dev (not yet released)
 
   - spot::dualize() implements the dual of any alternating automaton.
 
+  - spot::dtwa_complement now simply returns the result of dualize()
+
   Bug fixes:
 
   - In "lenient" mode the parser would fail to recover from
diff --git a/spot/twaalgos/complement.cc b/spot/twaalgos/complement.cc
index 348b43406..2ac33d058 100644
--- a/spot/twaalgos/complement.cc
+++ b/spot/twaalgos/complement.cc
@@ -18,9 +18,9 @@
 // along with this program.  If not, see <http://www.gnu.org/licenses/>.
 
 #include <spot/twaalgos/complement.hh>
+#include <spot/twaalgos/dualize.hh>
 #include <spot/twaalgos/isdet.hh>
-#include <spot/twaalgos/complete.hh>
-#include <spot/twaalgos/cleanacc.hh>
+
 
 namespace spot
 {
@@ -31,15 +31,6 @@ namespace spot
       throw
         std::runtime_error("dtwa_complement() requires a deterministic input");
 
-    // Simply complete the automaton, and complement its acceptance.
-    auto res = cleanup_acceptance_here(complete(aut));
-    res->set_acceptance(res->num_sets(), res->get_acceptance().complement());
-    // Complementing the acceptance is likely to break the terminal
-    // property, but not weakness.  We make a useless call to
-    // prop_keep() just so we remember to update it in the future if a
-    // new argument is added.
-    res->prop_keep({true, true, true, true, true, true});
-    res->prop_terminal(trival::maybe());
-    return res;
+    return dualize(aut);
   }
 }