diff --git a/spot/twaalgos/simulation.cc b/spot/twaalgos/simulation.cc
index 9fe714e03..b06fb7fc7 100644
--- a/spot/twaalgos/simulation.cc
+++ b/spot/twaalgos/simulation.cc
@@ -582,6 +582,8 @@ namespace spot
         unsigned srcst = 0;
 
         auto create_edges = [&](int srcid, bdd one, bdd dest) {
+          if (dest == bddfalse)
+            return;
           // Iterate over all possible destination classes.  We
           // use minato_isop here, because if the same valuation
           // of atomic properties can go to two different
diff --git a/tests/core/568.test b/tests/core/568.test
index b538bfb7d..8de15609b 100755
--- a/tests/core/568.test
+++ b/tests/core/568.test
@@ -101,3 +101,27 @@ EOF
 # Using autcross will also test tgba_determinize
 genaut --cycle-onehot-nba=11..12 --cycle-log-nba=11..12 |
   autcross --language-preserved 'autfilt --small' --verbose
+
+
+
+# A test case from issue #575
+cat >575.hoa <<EOF
+HOA: v1 States: 16 Start: 0 AP: 7 "p12" "p28" "p14" "p34" "p30" "p29"
+"p35" acc-name: Buchi Acceptance: 1 Inf(0) properties: trans-labels
+explicit-labels state-acc --BODY-- State: 0 [0&1&!3] 1 [0&1&3] 2
+[!0&1&!3] 3 [0&!1&!3] 4 [!0&!1&3] 5 [!0&1&3] 6 [0&!1&3] 7 [!0&!1&!3] 8
+State: 1 {0} [t] 1 State: 2 [!3] 1 [3] 2 State: 3 [t] 9 State: 4 [t]
+10 State: 5 [3] 12 [!3 | !6] 13 State: 6 [!3 | !6] 9 [3] 14 State: 7
+[!3 | !6] 10 [3] 15 State: 8 [t] 13 State: 9 [2] 1 [!2] 9 State: 10
+[4] 1 [!4] 10 [!4&5] 11 State: 11 {0} [5] 11 State: 12 [2&!3&4] 1
+[2&3&4] 2 [!2&!3&4] 9 [2&!3&!4] 10 [2&!3&!4&5] 11 [!2&3&!4] 12
+[!2&!3&!4] 13 [!2&3&4] 14 [2&3&!4] 15 State: 13 [2&4] 1 [!2&4] 9
+[2&!4] 10 [2&!4&5] 11 [!2&!4] 13 State: 14 [2&!3] 1 [2&3] 2 [!2&!3] 9
+[!2&3] 14 State: 15 [!3&4] 1 [3&4] 2 [!3&!4] 10 [!3&!4&5] 11 [3&!4] 15
+--END--
+EOF
+# the automaton original bug was detected by print_hoa, which complained
+# that the non-derministic automaton was incorrectly tagged as deterministic.
+# So let's print the automaton in HOA format before checking its size.
+autfilt --small 575.hoa -H > res.hoa
+test "16 49 0" = "`autfilt --stats='%s %e %d' res.hoa`"
diff --git a/tests/python/forq_contains.py b/tests/python/forq_contains.py
index 165f9030f..df5d0ed66 100644
--- a/tests/python/forq_contains.py
+++ b/tests/python/forq_contains.py
@@ -360,3 +360,28 @@ tc.assertFalse(spot.contains(tba2, tba))
 a = spot.translate("(p0 & p2) -> G!p1", "buchi")
 b = spot.translate("p0 -> G!p1", "buchi")
 do_symmetric_test(b, a)
+
+# issue #575
+aut1 = spot.automaton("""HOA: v1.1 States: 12 Start: 0 AP: 6 "p13"
+"p12" "p15" "p16" "p14" "p11" acc-name: Buchi Acceptance: 1 Inf(0)
+properties: trans-labels explicit-labels trans-acc !complete
+properties: !deterministic exist-branch --BODY-- State: 0 [!0&!1&!3 |
+!2 | !3&!4] 1 [!0&!1&3 | !2 | 3&!4] 2 [0&!3&4 | 1&!3&4 | !2] 3 [0&3&4
+| 1&3&4 | !2] 4 [0&!1&3&4 | !2] 6 State: 1 [t] 7 State: 2 [!0&!1&3&!5
+| !2 | 3&!4&!5] 2 {0} [0&3&4&!5 | 1&3&4&!5 | !2] 4 [0&!1&3&4&!5 | !2]
+6 State: 3 [t] 5 State: 4 [!2 | 3&!4&!5] 2 {0} [!2 | 3&4&!5] 4 State:
+5 [t] 9 State: 6 [!0&!1&3&!5 | !0&3&!4&!5 | !2] 2 {0} [!0&1&3&4&!5 |
+!2] 4 [0&!1&3&!5 | 0&3&!4&!5 | !2] 6 [0&1&3&4&!5 | !2] 10 State: 7 [t]
+11 State: 8 [t] 8 {0} State: 9 [t] 8 {0} State: 10 [!0&3&!4&!5 | !2] 2
+{0} [!0&3&4&!5 | !2] 4 [0&3&!4&!5 | !2] 6 [0&3&4&!5 | !2] 10 State: 11
+[t] 8 {0} --END--""")
+aut2 = spot.automaton("""HOA: v1 States: 5 Start: 0 AP: 6 "p13" "p12"
+"p15" "p16" "p14" "p11" acc-name: Buchi Acceptance: 1 Inf(0)
+properties: trans-labels explicit-labels trans-acc --BODY-- State: 0
+[!0&!1&2&3 | 2&3&!4] 1 [0&2&3&4 | 1&2&3&4] 2 [0&!1&2&3&4] 3 State: 1
+[!0&!1&2&3&!5 | 2&3&!4&!5] 1 {0} [0&2&3&4&!5 | 1&2&3&4&!5] 2
+[0&!1&2&3&4&!5] 3 State: 2 [2&3&!4&!5] 1 {0} [2&3&4&!5] 2 State: 3
+[!0&!1&2&3&!5 | !0&2&3&!4&!5] 1 {0} [!0&1&2&3&4&!5] 2 [0&!1&2&3&!5 |
+0&2&3&!4&!5] 3 [0&1&2&3&4&!5] 4 State: 4 [!0&2&3&!4&!5] 1 {0}
+[!0&2&3&4&!5] 2 [0&2&3&!4&!5] 3 [0&2&3&4&!5] 4 --END--""")
+do_symmetric_test(aut2, aut1)