diff --git a/NEWS b/NEWS
index 1e9291ae2..413587683 100644
--- a/NEWS
+++ b/NEWS
@@ -122,6 +122,12 @@ New in spot 2.5.3.dev  (not yet released)
     to update an external structure that references states of the twa
     that we want to purge.
 
+  - spot::scc_filter() now automatically turns automata marked as
+    inherently-weak into weak automata with state-based acceptance.
+    The acceptance condition is set to Büchi unless the input had
+    co-Büchi or t acceptance.  spot::scc_filter_states() will pass
+    inherently-weak automata to spot::scc_filter().
+
   - spot::cleanup_parity() and spot::cleanup_parity_here() are smarter
     and now remove from the acceptance condition the parity colors
     that are not used in the automaton.
diff --git a/spot/twaalgos/postproc.cc b/spot/twaalgos/postproc.cc
index 4ad5a8b8b..9ed38dbee 100644
--- a/spot/twaalgos/postproc.cc
+++ b/spot/twaalgos/postproc.cc
@@ -38,7 +38,6 @@
 #include <spot/twaalgos/alternation.hh>
 #include <spot/twaalgos/parity.hh>
 #include <spot/twaalgos/cobuchi.hh>
-#include <spot/twaalgos/dot.hh>
 #include <spot/twaalgos/rabin2parity.hh>
 
 namespace spot
@@ -166,10 +165,7 @@ namespace spot
   {
     if (scc_filter_ == 0)
       return a;
-    // If the automaton is weak, using transition-based acceptance
-    // won't help, so let's preserve state-based acceptance.
-    if ((state_based_ || a->prop_inherently_weak().is_true())
-        && a->prop_state_acc().is_true())
+    if (state_based_ && a->prop_state_acc().is_true())
       return scc_filter_states(a, arg);
     else
       return scc_filter(a, arg);
diff --git a/spot/twaalgos/sccfilter.cc b/spot/twaalgos/sccfilter.cc
index 0d3823ce9..1b5d452d6 100644
--- a/spot/twaalgos/sccfilter.cc
+++ b/spot/twaalgos/sccfilter.cc
@@ -124,6 +124,53 @@ namespace spot
       }
     };
 
+    // Transform inherently weak automata into weak Büchi automata.
+    template <bool buchi, class next_filter = id_filter>
+    struct weak_filter: next_filter
+    {
+      acc_cond::mark_t acc_m = {0};
+      acc_cond::mark_t rej_m = {};
+
+      template<typename... Args>
+      weak_filter(scc_info* si, Args&&... args)
+        : next_filter(si, std::forward<Args>(args)...)
+      {
+        if (!buchi)
+          {
+            acc_m = {};
+            if (si->get_aut()->acc().is_co_buchi())
+              rej_m = {0};
+          }
+      }
+
+      filtered_trans trans(unsigned src, unsigned dst,
+                           bdd cond, acc_cond::mark_t acc)
+      {
+
+        bool keep;
+        std::tie(keep, cond, acc) =
+          this->next_filter::trans(src, dst, cond, acc);
+
+        if (keep)
+          {
+            unsigned ss = this->si->scc_of(src);
+            if (this->si->is_accepting_scc(ss))
+              acc = acc_m;
+            else
+              acc = rej_m;
+          }
+        return filtered_trans(keep, cond, acc);
+      }
+
+      void fix_acceptance(const twa_graph_ptr& out)
+      {
+        if (buchi)
+          out->set_buchi();
+        else
+          out->copy_acceptance_of(this->si->get_aut());
+      }
+    };
+
     // Remove acceptance conditions from all edges outside of
     // non-accepting SCCs.  If "RemoveAll" is false, keep those on
     // transitions entering accepting SCCs.  If "PreserveSBA", is set
@@ -160,7 +207,7 @@ namespace spot
             unsigned v = this->si->scc_of(dst);
             // The basic rules are as follows:
             //
-            // - If an edge is between two SCCs, is OK to remove
+            // - If an edge is between two SCCs, it is OK to remove
             //   all acceptance sets, as this edge cannot be part
             //   of any loop.
             // - If an edge is in an non-accepting SCC, we can only
@@ -370,6 +417,10 @@ namespace spot
                     scc_info* given_si)
   {
     twa_graph_ptr res;
+    // For weak automata, scc_filter() is already doing the right
+    // thing and preserves state-based acceptance.
+    if (aut->prop_inherently_weak())
+      return scc_filter(aut, remove_all_useless, given_si);
     if (remove_all_useless)
       res = scc_filter_apply<state_filter
                              <acc_filter_mask<true, true>>>(aut, given_si);
@@ -385,9 +436,18 @@ namespace spot
              scc_info* given_si)
   {
     twa_graph_ptr res;
-    // acc_filter_simplify only works for generalized Büchi
-    if (aut->acc().is_generalized_buchi())
+    if (aut->prop_inherently_weak())
       {
+        if (aut->acc().is_t() || aut->acc().is_co_buchi())
+          res =
+            scc_filter_apply<state_filter<weak_filter<false>>>(aut, given_si);
+        else
+          res =
+            scc_filter_apply<state_filter<weak_filter<true>>>(aut, given_si);
+      }
+    else if (aut->acc().is_generalized_buchi())
+      {
+        // acc_filter_simplify only works for generalized Büchi
         if (remove_all_useless)
           res =
             scc_filter_apply<state_filter
@@ -421,6 +481,11 @@ namespace spot
                      false,
                      true,
                    });
+    if (aut->prop_inherently_weak())
+      {
+        res->prop_weak(true);
+        res->prop_state_acc(true);
+      }
     return res;
   }
 
diff --git a/spot/twaalgos/sccfilter.hh b/spot/twaalgos/sccfilter.hh
index 9361d7b06..6c1451912 100644
--- a/spot/twaalgos/sccfilter.hh
+++ b/spot/twaalgos/sccfilter.hh
@@ -1,5 +1,5 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2009, 2010, 2012, 2013, 2014, 2015 Laboratoire de
+// Copyright (C) 2009, 2010, 2012, 2013, 2014, 2015, 2018 Laboratoire de
 // Recherche et Developpement de l'Epita (LRDE).
 //
 // This file is part of Spot, a model checking library.
@@ -50,13 +50,18 @@ namespace spot
   /// degeneralization) will work better if transitions going to an
   /// accepting SCC are accepting.
   ///
+  /// If the input is inherently weak, the output will be a weak
+  /// automaton with state-based acceptance.  The acceptance condition
+  /// is set to Büchi unless the input was co-Büchi or t (in which
+  /// case we keep this acceptance).
+  ///
   /// If \a given_sm is supplied, the function will use its result
   /// without computing a map of its own.
   ///
-  /// \warning Calling scc_filter on a TωA that has the SBA property
-  /// (i.e., transitions leaving accepting states are all marked as
-  /// accepting) may destroy this property.  Use scc_filter_states()
-  /// instead.
+  /// \warning Calling scc_filter on a TωA that is not inherently weak
+  /// and has the SBA property (i.e., transitions leaving accepting
+  /// states are all marked as accepting) may destroy this property.
+  /// Use scc_filter_states() instead.
   SPOT_API twa_graph_ptr
   scc_filter(const const_twa_graph_ptr& aut, bool remove_all_useless = false,
              scc_info* given_si = nullptr);
diff --git a/tests/core/dca2.test b/tests/core/dca2.test
index ce0093c72..eef1d8168 100755
--- a/tests/core/dca2.test
+++ b/tests/core/dca2.test
@@ -67,7 +67,11 @@ while read l_f; do
         autfilt -q --acceptance-is=Streett-like and.hoa
         # Streett | Streett
         autfilt r.hoa --name="($l_f)|!($r_f)" --product-or=l.hoa -S > or.hoa
-        autfilt -q -v --acceptance-is=Streett-like or.hoa
+        if ! grep -q ' weak' l.hoa; then
+            if ! grep -q ' weak' r.hoa; then
+                autfilt -q -v --acceptance-is=Streett-like or.hoa || exit 1
+            fi
+        fi
 
         autcross --language-preserved --verbose -F or.hoa -F and.hoa \
                  'autfilt %H --stats=%M | ltl2tgba >%O' \
diff --git a/tests/core/parity2.test b/tests/core/parity2.test
index 09b7d3189..40daa2cbc 100755
--- a/tests/core/parity2.test
+++ b/tests/core/parity2.test
@@ -236,7 +236,7 @@ AP: 1 "a"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
 properties: trans-labels explicit-labels state-acc stutter-invariant
-properties: inherently-weak
+properties: weak
 --BODY--
 State: 0
 [t] 0
@@ -270,7 +270,7 @@ AP: 1 "a"
 acc-name: Rabin 1
 Acceptance: 2 Fin(0) & Inf(1)
 properties: trans-labels explicit-labels state-acc stutter-invariant
-properties: inherently-weak
+properties: weak
 --BODY--
 State: 0
 [t] 0
@@ -304,7 +304,7 @@ AP: 1 "a"
 acc-name: Buchi
 Acceptance: 1 Inf(0)
 properties: trans-labels explicit-labels state-acc stutter-invariant
-properties: inherently-weak
+properties: weak
 --BODY--
 State: 0
 [t] 0
@@ -338,7 +338,7 @@ AP: 1 "a"
 acc-name: Streett 1
 Acceptance: 2 Fin(0) | Inf(1)
 properties: trans-labels explicit-labels state-acc colored
-properties: stutter-invariant inherently-weak
+properties: stutter-invariant weak
 --BODY--
 State: 0 {0}
 [t] 0
@@ -372,7 +372,7 @@ AP: 1 "a"
 acc-name: parity min odd 3
 Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
 properties: trans-labels explicit-labels state-acc colored
-properties: stutter-invariant inherently-weak
+properties: stutter-invariant weak
 --BODY--
 State: 0 {2}
 [t] 0
@@ -406,7 +406,7 @@ AP: 1 "a"
 acc-name: parity max even 3
 Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
 properties: trans-labels explicit-labels state-acc colored
-properties: stutter-invariant inherently-weak
+properties: stutter-invariant weak
 --BODY--
 State: 0 {1}
 [t] 0
diff --git a/tests/core/prodor.test b/tests/core/prodor.test
index c91a48d8d..73bcf6a91 100755
--- a/tests/core/prodor.test
+++ b/tests/core/prodor.test
@@ -57,23 +57,24 @@ HOA: v1
 States: 3
 Start: 0
 AP: 2 "a" "b"
-Acceptance: 2 Inf(0) | Inf(1)
+acc-name: Buchi
+Acceptance: 1 Inf(0)
 properties: trans-labels explicit-labels trans-acc complete
 properties: stutter-invariant
 --BODY--
 State: 0
 [!0] 0
-[0] 0 {1}
+[0] 0 {0}
 [!0&1] 1
-[0&1] 1 {1}
+[0&1] 1 {0}
 State: 1
 [!0&1] 1 {0}
-[0&1] 1 {0 1}
+[0&1] 1 {0}
 [!0&!1] 2 {0}
-[0&!1] 2 {0 1}
+[0&!1] 2 {0}
 State: 2
 [!0] 2
-[0] 2 {1}
+[0] 2 {0}
 --END--
 EOF
 diff por.hoa exp
@@ -88,18 +89,18 @@ HOA: v1
 States: 2
 Start: 0
 AP: 2 "a" "b"
-acc-name: generalized-Buchi 2
-Acceptance: 2 Inf(0)&Inf(1)
+acc-name: Buchi
+Acceptance: 1 Inf(0)
 properties: trans-labels explicit-labels trans-acc stutter-invariant
 --BODY--
 State: 0
 [!0] 0
-[0] 0 {1}
+[0] 0
 [!0&1] 1
-[0&1] 1 {1}
+[0&1] 1
 State: 1
-[!0&1] 1 {0}
-[0&1] 1 {0 1}
+[!0&1] 1
+[0&1] 1 {0}
 --END--
 EOF
 diff pand.hoa exp
diff --git a/tests/core/randomize.test b/tests/core/randomize.test
index 216a4b05f..de3059486 100755
--- a/tests/core/randomize.test
+++ b/tests/core/randomize.test
@@ -1,6 +1,6 @@
 #!/bin/sh
 # -*- coding: utf-8 -*-
-# Copyright (C) 2014, 2015, 2017 Laboratoire de Recherche et
+# Copyright (C) 2014, 2015, 2017, 2018 Laboratoire de Recherche et
 # Développement de l'Epita (LRDE).
 #
 # This file is part of Spot, a model checking library.
@@ -33,7 +33,7 @@ AP: 4 "a" "b" "c" "d"
 acc-name: all
 Acceptance: 0 t
 properties: trans-labels explicit-labels state-acc stutter-invariant
-properties: inherently-weak
+properties: weak
 --BODY--
 State: 0
 [0] 1
diff --git a/tests/python/automata.ipynb b/tests/python/automata.ipynb
index 327b764f0..b91991215 100644
--- a/tests/python/automata.ipynb
+++ b/tests/python/automata.ipynb
@@ -164,7 +164,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec60d690> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc23af60> >"
       ]
      },
      "execution_count": 2,
@@ -601,7 +601,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec57bc90> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc0e9db0> >"
       ]
      },
      "execution_count": 6,
@@ -677,7 +677,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec58a9f0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc0fabd0> >"
       ]
      },
      "execution_count": 7,
@@ -760,7 +760,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec58ab10> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc1ce060> >"
       ]
      },
      "execution_count": 8,
@@ -1279,7 +1279,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59c840> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc10a930> >"
       ]
      },
      "execution_count": 12,
@@ -1393,7 +1393,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59ca20> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc10aab0> >"
       ]
      },
      "execution_count": 13,
@@ -1524,7 +1524,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cab0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc10ab40> >"
       ]
      },
      "execution_count": 14,
@@ -1533,7 +1533,8 @@
     }
    ],
    "source": [
-    "spot.translate('GFa -> GFb', 'sbacc')"
+    "a = spot.translate('GFa -> GFb', 'sbacc')\n",
+    "a"
    ]
   },
   {
@@ -1547,656 +1548,6 @@
    "cell_type": "code",
    "execution_count": 15,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/svg+xml": [
-       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
-       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
-       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
-       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
-       " -->\n",
-       "<!-- Pages: 1 -->\n",
-       "<svg width=\"325pt\" height=\"128pt\"\n",
-       " viewBox=\"0.00 0.00 325.00 128.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
-       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 124)\">\n",
-       "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-124 321,-124 321,4 -4,4\"/>\n",
-       "<text text-anchor=\"start\" x=\"137.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">Inf(</text>\n",
-       "<text text-anchor=\"start\" x=\"159.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
-       "<text text-anchor=\"start\" x=\"175.5\" y=\"-105.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)</text>\n",
-       "<text text-anchor=\"start\" x=\"135.5\" y=\"-91.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[Büchi]</text>\n",
-       "<!-- I -->\n",
-       "<!-- 0 -->\n",
-       "<g id=\"node2\" class=\"node\">\n",
-       "<title>0</title>\n",
-       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"56\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"56\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">0</text>\n",
-       "</g>\n",
-       "<!-- I&#45;&gt;0 -->\n",
-       "<g id=\"edge1\" class=\"edge\">\n",
-       "<title>I&#45;&gt;0</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M1.1233,-18C4.178,-18 17.9448,-18 30.9241,-18\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"37.9807,-18 30.9808,-21.1501 34.4807,-18 30.9807,-18.0001 30.9807,-18.0001 30.9807,-18.0001 34.4807,-18 30.9807,-14.8501 37.9807,-18 37.9807,-18\"/>\n",
-       "</g>\n",
-       "<!-- 0&#45;&gt;0 -->\n",
-       "<g id=\"edge2\" class=\"edge\">\n",
-       "<title>0&#45;&gt;0</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M49.6208,-35.0373C48.3189,-44.8579 50.4453,-54 56,-54 60.166,-54 62.4036,-48.8576 62.7128,-42.1433\"/>\n",
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-       "<text text-anchor=\"start\" x=\"51.5\" y=\"-57.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
-       "</g>\n",
-       "<!-- 1 -->\n",
-       "<g id=\"node3\" class=\"node\">\n",
-       "<title>1</title>\n",
-       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"135\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"start\" x=\"130.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
-       "</g>\n",
-       "<!-- 0&#45;&gt;1 -->\n",
-       "<g id=\"edge3\" class=\"edge\">\n",
-       "<title>0&#45;&gt;1</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M74.3228,-18C84.7921,-18 98.0794,-18 109.5495,-18\"/>\n",
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-       "<text text-anchor=\"start\" x=\"92\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
-       "</g>\n",
-       "<!-- 2 -->\n",
-       "<g id=\"node4\" class=\"node\">\n",
-       "<title>2</title>\n",
-       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"218\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"218\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">2</text>\n",
-       "</g>\n",
-       "<!-- 1&#45;&gt;2 -->\n",
-       "<g id=\"edge4\" class=\"edge\">\n",
-       "<title>1&#45;&gt;2</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M153.0098,-18C164.5679,-18 179.7507,-18 192.5345,-18\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"199.7388,-18 192.7388,-21.1501 196.2388,-18 192.7388,-18.0001 192.7388,-18.0001 192.7388,-18.0001 196.2388,-18 192.7387,-14.8501 199.7388,-18 199.7388,-18\"/>\n",
-       "<text text-anchor=\"start\" x=\"171\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a</text>\n",
-       "</g>\n",
-       "<!-- 3 -->\n",
-       "<g id=\"node5\" class=\"node\">\n",
-       "<title>3</title>\n",
-       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"299\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"299\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">3</text>\n",
-       "</g>\n",
-       "<!-- 2&#45;&gt;3 -->\n",
-       "<g id=\"edge5\" class=\"edge\">\n",
-       "<title>2&#45;&gt;3</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M236.3802,-18C247.4352,-18 261.6622,-18 273.7609,-18\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"280.9716,-18 273.9716,-21.1501 277.4716,-18 273.9716,-18.0001 273.9716,-18.0001 273.9716,-18.0001 277.4716,-18 273.9716,-14.8501 280.9716,-18 280.9716,-18\"/>\n",
-       "<text text-anchor=\"start\" x=\"254\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">b</text>\n",
-       "</g>\n",
-       "<!-- 3&#45;&gt;3 -->\n",
-       "<g id=\"edge6\" class=\"edge\">\n",
-       "<title>3&#45;&gt;3</title>\n",
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@@ -2915,7 +2266,7 @@
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@@ -3089,7 +2440,7 @@
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@@ -3165,7 +2516,7 @@
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@@ -3174,7 +2525,7 @@
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@@ -3185,7 +2536,7 @@
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@@ -3666,7 +3017,7 @@
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@@ -3755,7 +3103,7 @@
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@@ -3852,7 +3200,7 @@
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@@ -3993,7 +3341,7 @@
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@@ -4011,7 +3359,7 @@
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@@ -4089,7 +3437,7 @@
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@@ -4247,7 +3589,7 @@
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-   "execution_count": 31,
+   "execution_count": 29,
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-     "execution_count": 31,
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@@ -4345,7 +3684,7 @@
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diff --git a/tests/python/highlighting.ipynb b/tests/python/highlighting.ipynb
index 370aab3c6..4454142f0 100644
--- a/tests/python/highlighting.ipynb
+++ b/tests/python/highlighting.ipynb
@@ -240,7 +240,7 @@
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@@ -352,7 +352,7 @@
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@@ -462,7 +462,7 @@
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@@ -695,7 +695,7 @@
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@@ -892,7 +892,7 @@
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@@ -977,7 +977,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d8a0> >"
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@@ -1032,7 +1032,7 @@
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@@ -1126,7 +1126,7 @@
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@@ -1257,7 +1257,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d090> >"
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@@ -1322,7 +1322,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d8a0> >"
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@@ -1377,7 +1377,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6d780> >"
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@@ -1609,7 +1609,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f0128e6db40> >"
+       "<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7fec96f52b40> >"
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@@ -1648,14 +1645,15 @@
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@@ -1674,17 +1672,16 @@
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@@ -1697,7 +1694,7 @@
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@@ -1794,7 +1791,7 @@
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@@ -1962,7 +1959,7 @@
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      "execution_count": 18,
@@ -2130,7 +2127,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6dc30> >"
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      "execution_count": 19,
@@ -2293,7 +2290,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f0128e6dc30> >"
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      "metadata": {},
@@ -2757,13 +2754,6 @@
     "spot.highlight_languages(aut)\n",
     "aut.show('.bas')"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
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@@ -2782,7 +2772,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.5"
+   "version": "3.6.5+"
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diff --git a/tests/python/product.ipynb b/tests/python/product.ipynb
index afe02367e..de0db966a 100644
--- a/tests/python/product.ipynb
+++ b/tests/python/product.ipynb
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@@ -420,7 +393,7 @@
     }
    ],
    "source": [
-    "a1 = spot.translate('FGa')\n",
+    "a1 = spot.translate('FGa & GFb')\n",
     "a2 = spot.translate('G(Fc U b)')\n",
     "prod = spot.product(a1, a2)\n",
     "display_inline(a1, a2, prod)"
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"237\" y=\"-397.8\">a &amp; !b &amp; c</text>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"219\" y=\"-27.8871\">a &amp; b</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"220\" y=\"-13.8871\">❶</text>\n",
+       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"236\" y=\"-13.8871\">❷</text>\n",
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-       "<!-- 0&#45;&gt;2 -->\n",
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-       "<title>0-&gt;2</title>\n",
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-       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"268\" y=\"-269.8\">❷</text>\n",
+       "<title>1-&gt;0</title>\n",
+       "<path d=\"M151.0948,-104.9673C132.0352,-100.5819 101.7512,-93.6139 80.491,-88.7222\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"73.6563,-87.1496 81.1844,-85.6495 77.0671,-87.9344 80.478,-88.7193 80.478,-88.7193 80.478,-88.7193 77.0671,-87.9344 79.7716,-91.789 73.6563,-87.1496 73.6563,-87.1496\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"94\" y=\"-118.8871\">!b &amp; c</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"104.5\" y=\"-103.8871\">❶</text>\n",
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+       "<!-- 1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>1-&gt;0</title>\n",
+       "<path d=\"M161.9837,-92.2918C156.1165,-80.6383 146.5186,-66.0118 133,-59.0871 116.7817,-50.7795 109.4403,-53.8066 92,-59.0871 86.3385,-60.8012 80.7535,-63.7319 75.7337,-66.9684\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"95.5\" y=\"-76.8871\">b &amp; c</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"96.5\" y=\"-62.8871\">❶</text>\n",
+       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"112.5\" y=\"-62.8871\">❷</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M164.0012,-126.497C163.0681,-136.175 164.7344,-145.0871 169,-145.0871 172.1326,-145.0871 173.8633,-140.2807 174.1921,-133.8943\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"173.9988,-126.497 177.3307,-133.4122 174.0903,-129.9958 174.1818,-133.4946 174.1818,-133.4946 174.1818,-133.4946 174.0903,-129.9958 171.0329,-133.5769 173.9988,-126.497 173.9988,-126.497\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"148.5\" y=\"-148.8871\">!b &amp; !c</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M161.0436,-125.3954C155.9026,-143.0475 158.5547,-163.0871 169,-163.0871 178.058,-163.0871 181.2555,-148.017 178.5924,-132.5024\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"150.5\" y=\"-181.8871\">b &amp; !c</text>\n",
+       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"161\" y=\"-166.8871\">❷</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>1-&gt;2</title>\n",
+       "<path d=\"M181.2425,-122.7647C200.7658,-143.422 241.2381,-181.6952 285,-196.0871 346.7465,-216.3935 376.0833,-201.4909 427,-161.0871 436.4852,-153.5603 444.6212,-142.9132 450.7464,-133.3771\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"285\" y=\"-222.8871\">a &amp; b &amp; c</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"298\" y=\"-208.8871\">❶</text>\n",
+       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"314\" y=\"-208.8871\">❷</text>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"350\" y=\"-14.3\">3</text>\n",
+       "<ellipse cx=\"314\" cy=\"-90.0871\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"314\" y=\"-86.3871\">3</text>\n",
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-       "<!-- 0&#45;&gt;3 -->\n",
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-       "<title>0-&gt;3</title>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"151\" y=\"-75.8\">a &amp; !b &amp; !c</text>\n",
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-       "<!-- 1&#45;&gt;0 -->\n",
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-       "<title>1-&gt;0</title>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"94\" y=\"-198.8\">!b &amp; c</text>\n",
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-       "<title>1-&gt;0</title>\n",
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-       "<!-- 1&#45;&gt;1 -->\n",
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-       "<title>1-&gt;1</title>\n",
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-       "<!-- 1&#45;&gt;1 -->\n",
+       "<!-- 1&#45;&gt;3 -->\n",
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-       "<title>1-&gt;1</title>\n",
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+       "<title>1-&gt;3</title>\n",
+       "<path d=\"M187.0712,-106.7191C212.6862,-103.3627 259.663,-97.2071 288.7229,-93.3992\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"205\" y=\"-121.8871\">a &amp; b &amp; !c</text>\n",
+       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"228\" y=\"-106.8871\">❷</text>\n",
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-       "<!-- 1&#45;&gt;2 -->\n",
+       "<!-- 2&#45;&gt;2 -->\n",
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-       "<title>1-&gt;2</title>\n",
-       "<path d=\"M200.7923,-167.9597C210.6397,-171.8629 223.3897,-176.6129 235,-180 297.7638,-198.3104 315.9837,-204.8879 381,-198 418.9684,-193.9776 428.4243,-190.9542 465,-180 469.1154,-178.7675 473.4255,-177.2751 477.5751,-175.7301\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"319\" y=\"-218.8\">a &amp; !b &amp; c</text>\n",
-       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"342\" y=\"-203.8\">❶</text>\n",
+       "<title>2-&gt;2</title>\n",
+       "<path d=\"M456.9752,-128.1244C455.7456,-137.945 457.7539,-147.0871 463,-147.0871 466.9346,-147.0871 469.0479,-141.9446 469.3399,-135.2304\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"432\" y=\"-165.8871\">a &amp; !b &amp; c</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"455\" y=\"-150.8871\">❶</text>\n",
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-       "<!-- 1&#45;&gt;2 -->\n",
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-       "<title>1-&gt;2</title>\n",
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-       "<!-- 1&#45;&gt;3 -->\n",
+       "<!-- 2&#45;&gt;2 -->\n",
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-       "<title>1-&gt;3</title>\n",
-       "<path d=\"M200.4219,-153.296C232.1597,-138.3857 298.9958,-106.8751 301,-105 319.8277,-87.385 333.318,-60.8712 341.3175,-41.745\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"235\" y=\"-138.8\">a &amp; !b &amp; !c</text>\n",
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-       "<!-- 1&#45;&gt;3 -->\n",
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-       "<title>1-&gt;3</title>\n",
-       "<path d=\"M189.9265,-144.0001C197.5893,-124.1867 212.6594,-91.545 235,-71 249.0067,-58.1191 296.661,-38.4218 326.0487,-27.018\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"237\" y=\"-89.8\">a &amp; b &amp; !c</text>\n",
-       "<text fill=\"#ff7f00\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"260\" y=\"-74.8\">❷</text>\n",
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-       "<!-- 2&#45;&gt;2 -->\n",
-       "<g class=\"edge\" id=\"edge16\">\n",
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@@ -2589,7 +2426,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "264 µs ± 2.11 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
+      "219 µs ± 5.11 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
      ]
     }
    ],
@@ -2606,7 +2443,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "4.9 µs ± 45.2 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n"
+      "5.23 µs ± 532 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n"
      ]
     }
    ],
@@ -2656,7 +2493,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.5"
+   "version": "3.6.5+"
   }
  },
  "nbformat": 4,
diff --git a/tests/python/remfin.py b/tests/python/remfin.py
index 02a55dda9..5acf3b173 100644
--- a/tests/python/remfin.py
+++ b/tests/python/remfin.py
@@ -27,10 +27,9 @@ Start: 0
 AP: 1 "a"
 acc-name: co-Buchi
 Acceptance: 1 Fin(0)
-properties: trans-labels explicit-labels state-acc deterministic
-properties: inherently-weak
+properties: trans-labels explicit-labels state-acc deterministic weak
 --BODY--
-State: 0
+State: 0 {0}
 [0] 1
 State: 1
 [t] 1
diff --git a/tests/python/stutter-inv.ipynb b/tests/python/stutter-inv.ipynb
index 3010ce323..9d4c8b999 100644
--- a/tests/python/stutter-inv.ipynb
+++ b/tests/python/stutter-inv.ipynb
@@ -302,7 +302,7 @@
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       "text/plain": [
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+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a00c1660> >"
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