diff --git a/spot/gen/automata.cc b/spot/gen/automata.cc
index 488ea0595..ceca18e15 100644
--- a/spot/gen/automata.cc
+++ b/spot/gen/automata.cc
@@ -74,7 +74,7 @@ namespace spot
         aut->new_edge(2, 1, p);
         for (unsigned q = 3; q <= 2*n; ++q)
           aut->new_edge(q, q, p);
-        // s does to next state (mod 2*n, 0 excluded)
+        // s goes to next state (mod 2*n, 0 excluded)
         aut->new_edge(2*n, 1, s);
         for (unsigned q = 1; q < 2*n; ++q)
           aut->new_edge(q, q+1, s);
@@ -86,6 +86,11 @@ namespace spot
 
         aut->merge_edges();
         aut->prop_state_acc(true);
+        aut->prop_universal(false);
+        aut->prop_complete(false);
+        aut->prop_inherently_weak(false);
+        aut->prop_stutter_invariant(false);
+        aut->prop_semi_deterministic(false);
         return aut;
       }
 
@@ -107,7 +112,6 @@ namespace spot
         aut->new_states(3 * n + 1);
         aut->set_init_state(1);
         aut->set_buchi();
-        aut->prop_state_acc(true);
 
         aut->new_acc_edge(0, n + 1, a);
         aut->new_edge(2 * n + 1, 0, b);
@@ -119,6 +123,13 @@ namespace spot
             aut->new_edge(s, s + 2 * n, a);
             aut->new_edge(std::min(s + 2 * n + 1, 3 * n), s + 2 * n, a);
           }
+
+        aut->prop_state_acc(true);
+        aut->prop_universal(false);
+        aut->prop_complete(false);
+        aut->prop_inherently_weak(false);
+        aut->prop_stutter_invariant(false);
+        aut->prop_semi_deterministic(false);
         return aut;
       }
     }
diff --git a/tests/python/gen.py b/tests/python/gen.py
index fc7e19067..5fac2a54e 100644
--- a/tests/python/gen.py
+++ b/tests/python/gen.py
@@ -27,11 +27,27 @@ from sys import exit
 k2 = gen.aut_pattern(gen.AUT_KS_COBUCHI, 2)
 assert k2.prop_state_acc()
 assert k2.num_states() == 5
+assert k2.prop_universal().is_false()
+assert k2.prop_inherently_weak().is_false()
+assert k2.prop_stutter_invariant().is_false()
+assert k2.prop_semi_deterministic().is_false()
+assert k2.prop_deterministic().is_false()
+assert k2.prop_terminal().is_false()
+
 # to_str is defined in the spot package, so this makes sure
 # the type returned by spot.gen.ks_cobuchi() is the correct one.
 assert 'to_str' in dir(k2)
 
 k3 = gen.aut_pattern(gen.AUT_L_NBA, 3)
+assert k3.num_states() == 10
+assert k3.prop_state_acc()
+assert k3.prop_universal().is_false()
+assert k3.prop_inherently_weak().is_false()
+assert k3.prop_stutter_invariant().is_false()
+assert k3.prop_semi_deterministic().is_false()
+assert k3.prop_deterministic().is_false()
+assert k3.prop_terminal().is_false()
+
 assert k2.get_dict() == k3.get_dict()
 
 try: