diff --git a/src/tgba/tgba.hh b/src/tgba/tgba.hh
index e3d1541d0..88b6ca4b6 100644
--- a/src/tgba/tgba.hh
+++ b/src/tgba/tgba.hh
@@ -675,6 +675,7 @@ namespace spot
       bool state_based_acc:1;	// State-based acceptance.
       bool inherently_weak:1;	// Weak automaton.
       bool deterministic:1;	// Deterministic automaton.
+      bool stutter_inv:1; 	// Stutter invariant
     };
     union
     {
@@ -757,16 +758,27 @@ namespace spot
       is.deterministic = val;
     }
 
+    bool is_stutter_invariant() const
+    {
+      return is.stutter_inv;
+    }
+
+    void prop_stutter_invariant(bool val = true)
+    {
+      is.stutter_inv = val;
+    }
+
     struct prop_set
     {
       bool state_based;
       bool single_acc;
       bool inherently_weak;
       bool deterministic;
+      bool stutter_inv;
 
       static prop_set all()
       {
-	return { true, true, true, true };
+	return { true, true, true, true, true };
       }
     };
 
@@ -782,6 +794,8 @@ namespace spot
 	prop_inherently_weak(other->is_inherently_weak());
       if (p.deterministic)
 	prop_deterministic(other->is_deterministic());
+      if (p.stutter_inv)
+	prop_stutter_invariant(other->is_stutter_invariant());
     }
 
     void prop_keep(prop_set p)
diff --git a/src/tgbaalgos/are_isomorphic.cc b/src/tgbaalgos/are_isomorphic.cc
index 97b2d823b..5deafe8c0 100644
--- a/src/tgbaalgos/are_isomorphic.cc
+++ b/src/tgbaalgos/are_isomorphic.cc
@@ -112,7 +112,7 @@ namespace spot
 {
   isomorphism_checker::isomorphism_checker(const const_tgba_digraph_ptr ref)
   {
-    ref_ = make_tgba_digraph(ref, {true, true, true, true});
+    ref_ = make_tgba_digraph(ref, tgba::prop_set::all());
     ref_deterministic_ = ref_->is_deterministic();
     if (!ref_deterministic_)
       {
@@ -144,7 +144,7 @@ namespace spot
           }
       }
 
-    auto tmp = make_tgba_digraph(aut, {true, true, true, true});
+    auto tmp = make_tgba_digraph(aut, tgba::prop_set::all());
     spot::canonicalize(tmp);
     return *tmp == *ref_;
   }
diff --git a/src/tgbaalgos/complete.cc b/src/tgbaalgos/complete.cc
index 0d36c7d2e..e8d302e29 100644
--- a/src/tgbaalgos/complete.cc
+++ b/src/tgbaalgos/complete.cc
@@ -1,6 +1,6 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2013, 2014 Laboratoire de Recherche et Développement
-// de l'Epita.
+// Copyright (C) 2013, 2014, 2015 Laboratoire de Recherche et
+// Développement de l'Epita.
 //
 // This file is part of Spot, a model checking library.
 //
@@ -105,11 +105,12 @@ namespace spot
   tgba_digraph_ptr tgba_complete(const const_tgba_ptr& aut)
   {
     auto res = make_tgba_digraph(aut, {
-	                           true, // state based
-				   true, // single acc
-				   true, // inherently_weak
-				   true, // deterministic
-				 });
+					true, // state based
+					true, // single acc
+					true, // inherently_weak
+					true, // deterministic
+					true, // stutter inv.
+				      });
     tgba_complete_here(res);
     return res;
   }
diff --git a/src/tgbaalgos/degen.cc b/src/tgbaalgos/degen.cc
index 881343d4f..e52013c85 100644
--- a/src/tgbaalgos/degen.cc
+++ b/src/tgbaalgos/degen.cc
@@ -204,8 +204,8 @@ namespace spot
       res->set_single_acceptance_set();
       if (want_sba)
 	res->prop_state_based_acc();
-      // Preserve determinism and weakness
-      res->prop_copy(a, { false, false, true, true });
+      // Preserve determinism, weakness, and stutter-invariance
+      res->prop_copy(a, { false, false, true, true, true });
 
       // Create an order of acceptance conditions.  Each entry in this
       // vector correspond to an acceptance set.  Each index can
diff --git a/src/tgbaalgos/dtgbacomp.cc b/src/tgbaalgos/dtgbacomp.cc
index c732dbe8c..b90caecc0 100644
--- a/src/tgbaalgos/dtgbacomp.cc
+++ b/src/tgbaalgos/dtgbacomp.cc
@@ -32,6 +32,7 @@ namespace spot
 				   false, // single acc
 				   false, // inherently_weak
 				   false, // deterministic
+				   true,  // stutter inv.
 				  });
     // Copy the old acceptance condition before we replace it.
     acc_cond oldacc = aut->acc(); // Copy it!
@@ -120,6 +121,7 @@ namespace spot
 				   true, // single acc
 				   true, // inherently weak
 				   true, // determinisitic
+				   true,  // stutter inv.
 				 });
     scc_info si(res);
 
diff --git a/src/tgbaalgos/hoa.cc b/src/tgbaalgos/hoa.cc
index 8adbbebb2..f9148e108 100644
--- a/src/tgbaalgos/hoa.cc
+++ b/src/tgbaalgos/hoa.cc
@@ -22,6 +22,7 @@
 
 #include <ostream>
 #include <sstream>
+#include <cstring>
 #include <map>
 #include "tgba/tgba.hh"
 #include "tgba/tgbagraph.hh"
@@ -296,19 +297,41 @@ namespace spot
     os << aut->acc().get_acceptance();
     os << nl;
     os << "properties:";
+
+    // Make sure the property line is not too large,
+    // otherwise our test cases do not fit in 80 columns...
+    unsigned prop_len = 60;
+    auto prop = [&](const char* str)
+      {
+	if (newline)
+	  {
+	    auto l = strlen(str);
+	    if (prop_len < l)
+	      {
+		prop_len = 60;
+		os << "\nproperties:";
+	      }
+	    prop_len -= l;
+	  }
+	os << str;
+      };
     implicit_labels = md.use_implicit_labels;
     if (implicit_labels)
-      os << " implicit-labels";
+      prop(" implicit-labels");
     else
-      os << " trans-labels explicit-labels";
+      prop(" trans-labels explicit-labels");
     if (acceptance == Hoa_Acceptance_States)
-      os << " state-acc";
+      prop(" state-acc");
     else if (acceptance == Hoa_Acceptance_Transitions)
-      os << " trans-acc";
+      prop(" trans-acc");
     if (md.is_complete)
-      os << " complete";
+      prop(" complete");
     if (md.is_deterministic)
-      os << " deterministic";
+      prop(" deterministic");
+    if (aut->is_stutter_invariant())
+      prop(" stutter-invariant");
+    if (aut->is_inherently_weak())
+      prop(" inherently-weak");
     os << nl;
 
     // If we want to output implicit labels, we have to
diff --git a/src/tgbaalgos/ltl2tgba_fm.cc b/src/tgbaalgos/ltl2tgba_fm.cc
index cd0bebef3..de52301bb 100644
--- a/src/tgbaalgos/ltl2tgba_fm.cc
+++ b/src/tgbaalgos/ltl2tgba_fm.cc
@@ -2514,6 +2514,9 @@ namespace spot
 
     acc.set_generalized_buchi();
 
+    a->prop_inherently_weak(f->is_syntactic_persistence());
+    a->prop_stutter_invariant(f->is_syntactic_stutter_invariant());
+
     if (!simplifier)
       // This should not be deleted before we have registered all propositions.
       delete s;
diff --git a/src/tgbaalgos/mask.cc b/src/tgbaalgos/mask.cc
index 387ca59c4..5f2634788 100644
--- a/src/tgbaalgos/mask.cc
+++ b/src/tgbaalgos/mask.cc
@@ -26,7 +26,7 @@ namespace spot
   {
     auto res = make_tgba_digraph(in->get_dict());
     res->copy_ap_of(in);
-    res->prop_copy(in, { true, false, true, true });
+    res->prop_copy(in, { true, false, true, true, false });
     unsigned na = in->acc().num_sets();
     unsigned tr = to_remove.count();
     assert(tr <= na);
@@ -54,7 +54,7 @@ namespace spot
 
     auto res = make_tgba_digraph(in->get_dict());
     res->copy_ap_of(in);
-    res->prop_copy(in, { true, true, true, true });
+    res->prop_copy(in, { true, true, true, true, false });
     res->copy_acceptance_conditions_of(in);
     transform_copy(in, res, [&](unsigned src,
                                 bdd& cond,
diff --git a/src/tgbaalgos/minimize.cc b/src/tgbaalgos/minimize.cc
index d9d61a52e..07d32c334 100644
--- a/src/tgbaalgos/minimize.cc
+++ b/src/tgbaalgos/minimize.cc
@@ -485,6 +485,7 @@ namespace spot
     // final is empty: there is no acceptance condition
     build_state_set(det_a, non_final);
     auto res = minimize_dfa(det_a, final, non_final);
+    res->prop_copy(a, { false, false, false, false, true });
     res->prop_deterministic();
     res->prop_inherently_weak();
     res->prop_state_based_acc();
@@ -588,6 +589,7 @@ namespace spot
     }
 
     auto res = minimize_dfa(det_a, final, non_final);
+    res->prop_copy(a, { false, false, false, false, true });
     res->prop_deterministic();
     res->prop_inherently_weak();
     return res;
diff --git a/src/tgbaalgos/remfin.cc b/src/tgbaalgos/remfin.cc
index e5aed4883..4a9c3742a 100644
--- a/src/tgbaalgos/remfin.cc
+++ b/src/tgbaalgos/remfin.cc
@@ -262,6 +262,7 @@ namespace spot
     unsigned nst = aut->num_states();
     auto res = make_tgba_digraph(aut->get_dict());
     res->copy_ap_of(aut);
+    res->prop_copy(aut, { false, false, false, false, true });
     res->new_states(nst);
     res->set_acceptance(aut->acc().num_sets() + extra_sets, new_code);
     res->set_init_state(aut->get_init_state_number());
diff --git a/src/tgbaalgos/sccfilter.cc b/src/tgbaalgos/sccfilter.cc
index 8f50f63c7..f2026cef2 100644
--- a/src/tgbaalgos/sccfilter.cc
+++ b/src/tgbaalgos/sccfilter.cc
@@ -317,7 +317,7 @@ namespace spot
   scc_filter_states(const const_tgba_digraph_ptr& aut, scc_info* given_si)
   {
     auto res = scc_filter_apply<state_filter<>>(aut, given_si);
-    res->prop_copy(aut, { true, true, true, true });
+    res->prop_copy(aut, { true, true, true, true, true });
     return res;
   }
 
@@ -340,6 +340,7 @@ namespace spot
 		     true,
 		     true,
 		     true,
+		     true,
 		   });
     return res;
   }
@@ -372,6 +373,7 @@ namespace spot
 		     true,
 		     true,
 		     false,	// determinism may not be preserved
+		     false,  	// stutter inv. of suspvars probably altered
 		   });
     return res;
   }
diff --git a/src/tgbaalgos/simulation.cc b/src/tgbaalgos/simulation.cc
index bd2196103..e6dad7a47 100644
--- a/src/tgbaalgos/simulation.cc
+++ b/src/tgbaalgos/simulation.cc
@@ -635,6 +635,7 @@ namespace spot
 			 false, // single acc set by set_generalized_buchi
 		         true,  // weakness preserved,
 			 false, // determinism checked and set below
+			 true, // stutter inv.
 		       });
         if (nb_minato == nb_satoneset && !Cosimulation)
 	  res->prop_deterministic();
diff --git a/src/tgbaalgos/stutter.cc b/src/tgbaalgos/stutter.cc
index 6d9be18b4..125ef1736 100644
--- a/src/tgbaalgos/stutter.cc
+++ b/src/tgbaalgos/stutter.cc
@@ -432,6 +432,7 @@ namespace spot
 	            true,	// single_acc
 	            false,	// inherently_weak
 	            false,	// deterministic
+	            false,      // stutter inv.
 	           });
     a->merge_transitions();
     return a;
@@ -452,6 +453,7 @@ namespace spot
 	          true,		// single_acc
 	          false,	// inherently_weak
 	          false,	// deterministic
+	          false,        // stutter inv.
 	         });
 
     unsigned n = a->num_states();
@@ -516,7 +518,7 @@ namespace spot
   tgba_digraph_ptr
   closure(const const_tgba_digraph_ptr& a)
   {
-    return closure(make_tgba_digraph(a, {true, true, true, true}));
+    return closure(make_tgba_digraph(a, {true, true, true, true, false}));
   }
 
   // The stutter check algorithm to use can be overridden via an
diff --git a/src/tgbatest/hoaparse.test b/src/tgbatest/hoaparse.test
index d0bd723c3..2988b169d 100755
--- a/src/tgbatest/hoaparse.test
+++ b/src/tgbatest/hoaparse.test
@@ -267,7 +267,8 @@ Start: 0
 AP: 2 "a" "b"
 acc-name: generalized-Buchi 2
 Acceptance: 2 Inf(0)&Inf(1)
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0 "foo" {0}
 [!0&!1] 2
@@ -483,7 +484,8 @@ Start: 0
 AP: 3 "a" "b" "c"
 acc-name: generalized-Buchi 2
 Acceptance: 2 Inf(0)&Inf(1)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [!0&!1 | !0&!2] 0
@@ -566,7 +568,8 @@ Start: 0
 AP: 1 "a"
 acc-name: generalized-Buchi 3
 Acceptance: 3 Inf(0)&Inf(1)&Inf(2)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [0] 1 {0 1}
@@ -778,7 +781,8 @@ Start: 0
 AP: 2 "a" "b"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0 {0}
 [1] 1
@@ -878,7 +882,8 @@ Start: 0
 AP: 0
 acc-name: Buchi
 Acceptance: 1 Inf(0)
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0 {0}
 [t] 1
@@ -1033,7 +1038,8 @@ run 2 ../ltl2tgba -XH foob 2>output.err
 grep 'foob:1.1: Cannot open file foob' output.err
 
 # Make sure we can read multiple automata from stdin
-../../bin/ltl2tgba 'a U b' 'GFa' --hoa | grep -v '^name:' > input
+../../bin/ltl2tgba 'a U b' 'GFa' --hoa | grep -v '^name:' |
+    sed 's/ stutter-invariant//;s/ inherently-weak//;/properties:$/d' > input
 ../../bin/autfilt --hoa < input | ../../bin/autfilt --hoa > output
 diff input output
 
@@ -1366,7 +1372,8 @@ States: 2
 Start: 0
 AP: 1 "a"
 Acceptance: 1 t
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0 "F(a)"
 [0] 1 {0}
@@ -1379,7 +1386,8 @@ States: 1
 Start: 0
 AP: 3 "a" "b" "c"
 Acceptance: 6 Inf(0)&Inf(2)&Inf(4)&Inf(5)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [0&1&2] 0 {0 2 4}
@@ -1412,7 +1420,8 @@ Start: 0
 AP: 1 "a"
 acc-name: all
 Acceptance: 0 t
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0 "F(a)"
 [0] 1
@@ -1426,7 +1435,8 @@ Start: 0
 AP: 3 "a" "b" "c"
 acc-name: generalized-Buchi 4
 Acceptance: 4 Inf(0)&Inf(1)&Inf(2)&Inf(3)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [0&1&2] 0 {0 1 2}
@@ -1444,7 +1454,8 @@ EOF
 # Implicit labels
 
 ../../bin/ltl2tgba -H 'GFa & GFb & (c U d)' > out.hoa
-../../bin/ltl2tgba -C -Hi 'GFa & GFb & (c U d)'  > out-i.hoa
+../../bin/ltl2tgba -C -Hi 'GFa & GFb & (c U d)' |
+    sed 's/ stutter-invariant//;/properties:$/d' > out-i.hoa
 ../../bin/autfilt -C -Hi out.hoa --name=%M > out-i2.hoa
 diff out-i.hoa out-i2.hoa
 
diff --git a/src/tgbatest/ltldo.test b/src/tgbatest/ltldo.test
index f6f7df7fe..b8fadba2d 100755
--- a/src/tgbatest/ltldo.test
+++ b/src/tgbatest/ltldo.test
@@ -75,7 +75,8 @@ Start: 0
 AP: 1 "_foo_"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [0] 0 {0}
@@ -95,7 +96,8 @@ Start: 0
 AP: 1 "_foo_"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
-properties: trans-labels explicit-labels trans-acc complete deterministic
+properties: trans-labels explicit-labels trans-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [0] 0 {0}
diff --git a/src/tgbatest/monitor.test b/src/tgbatest/monitor.test
index b9afbdd95..3e75aef31 100755
--- a/src/tgbatest/monitor.test
+++ b/src/tgbatest/monitor.test
@@ -52,6 +52,7 @@ AP: 1 "a"
 acc-name: all
 Acceptance: 0 t
 properties: trans-labels explicit-labels state-acc deterministic
+properties: stutter-invariant inherently-weak
 --BODY--
 State: 0
 [t] 0
@@ -68,7 +69,8 @@ Start: 0
 AP: 0
 acc-name: all
 Acceptance: 0 t
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic stutter-invariant
 --BODY--
 State: 0
 [t] 0
diff --git a/src/tgbatest/randomize.test b/src/tgbatest/randomize.test
index 84aa716fd..6cfbc7eab 100755
--- a/src/tgbatest/randomize.test
+++ b/src/tgbatest/randomize.test
@@ -35,7 +35,8 @@ Start: 0
 AP: 4 "a" "b" "c" "d"
 acc-name: all
 Acceptance: 0 t
-properties: trans-labels explicit-labels state-acc
+properties: trans-labels explicit-labels state-acc stutter-invariant
+properties: inherently-weak
 --BODY--
 State: 0
 [0] 1
diff --git a/src/tgbatest/remfin.test b/src/tgbatest/remfin.test
index 283779b5e..12aa8bb38 100755
--- a/src/tgbatest/remfin.test
+++ b/src/tgbatest/remfin.test
@@ -258,7 +258,8 @@ Start: 0
 AP: 0
 acc-name: all
 Acceptance: 0 t
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [t] 0
@@ -269,7 +270,8 @@ Start: 0
 AP: 1 "p0"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0
 [!0] 0
diff --git a/src/tgbatest/sbacc.test b/src/tgbatest/sbacc.test
index 3674af1de..e2eee7d11 100755
--- a/src/tgbatest/sbacc.test
+++ b/src/tgbatest/sbacc.test
@@ -34,7 +34,8 @@ Start: 0
 AP: 2 "a" "b"
 acc-name: generalized-Buchi 2
 Acceptance: 2 Inf(0)&Inf(1)
-properties: trans-labels explicit-labels state-acc complete deterministic
+properties: trans-labels explicit-labels state-acc complete
+properties: deterministic
 --BODY--
 State: 0 {0 1}
 [0&1] 0