diff --git a/NEWS b/NEWS
index 832dfb571..599fcbe74 100644
--- a/NEWS
+++ b/NEWS
@@ -26,6 +26,10 @@ New in spot 2.5.3.dev  (not yet released)
     tooltip in SVG figures when the mouse is over the acceptance
     condition.
 
+  - print_dot() has a new option "u" to hide "true states" behind
+    "exiting transitions".  This can be used to display alternating
+    automata in a way many people expect.
+
   - cleanup_parity() and 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/bin/common_aoutput.cc b/bin/common_aoutput.cc
index b6b90008e..1a1eafadb 100644
--- a/bin/common_aoutput.cc
+++ b/bin/common_aoutput.cc
@@ -88,7 +88,7 @@ static const argp_option options[] =
     /**************************************************/
     { nullptr, 0, nullptr, 0, "Output format:", 3 },
     { "dot", 'd',
-      "1|a|A|b|B|c|C(COLOR)|e|f(FONT)|h|k|n|N|o|r|R|s|t|v|y|+INT|<INT|#",
+      "1|a|A|b|B|c|C(COLOR)|e|f(FONT)|h|k|n|N|o|r|R|s|t|u|v|y|+INT|<INT|#",
       OPTION_ARG_OPTIONAL,
       "GraphViz's format.  Add letters for "
       "(1) force numbered states, "
@@ -110,6 +110,7 @@ static const argp_option options[] =
       "(R) color acceptance sets by Inf/Fin, "
       "(s) with SCCs, "
       "(t) force transition-based acceptance, "
+      "(u) hide true states, "
       "(v) vertical layout, "
       "(y) split universal edges by color, "
       "(+INT) add INT to all set numbers, "
diff --git a/spot/twaalgos/dot.cc b/spot/twaalgos/dot.cc
index 28b8cd16b..8387ec388 100644
--- a/spot/twaalgos/dot.cc
+++ b/spot/twaalgos/dot.cc
@@ -81,6 +81,7 @@ namespace spot
       std::string* name_ = nullptr; // title for the graph
       std::string* graph_name_ = nullptr; // name for the digraph
       std::map<std::pair<int, int>, int> univ_done;
+      std::vector<bool> true_states_;
 
       acc_cond::mark_t inf_sets_ = {};
       acc_cond::mark_t fin_sets_ = {};
@@ -102,6 +103,7 @@ namespace spot
       bool opt_all_bullets = false;
       bool opt_ordered_edges_ = false;
       bool opt_numbered_edges_ = false;
+      bool opt_hide_true_states_ = false;
       bool opt_orig_show_ = false;
       bool max_states_given_ = false; // related to max_states_
       bool opt_latex_ = false;
@@ -130,6 +132,28 @@ namespace spot
         return max_states_given_;
       }
 
+      void find_true_states()
+      {
+        unsigned n = aut_->num_states();
+        true_states_.resize(n, false);
+        auto& g = aut_->get_graph();
+        auto& acc = aut_->acc();
+        for (unsigned s = 0; s < n; ++s)
+          {
+            auto& ss = g.state_storage(s);
+            if (ss.succ == ss.succ_tail)
+              {
+                auto& es = g.edge_storage(ss.succ);
+                if (es.cond == bddtrue
+
+                    && es.src == es.dst
+                    && acc.accepting(es.acc))
+                  true_states_[s] = true;
+              }
+          }
+      }
+
+
       void
       parse_opts(const char* options)
       {
@@ -267,6 +291,9 @@ namespace spot
             case 's':
               opt_scc_ = true;
               break;
+            case 'u':
+              opt_hide_true_states_ = true;
+              break;
             case 'v':
               opt_vertical_ = true;
               break;
@@ -430,6 +457,13 @@ namespace spot
         return tmp_dst.str();
       }
 
+      template<typename U, typename V>
+      void print_true_state(U to, V from) const
+      {
+        os_ << "  T" << to << 'T' << from << " [label=\"\", style=invis, ";
+        os_ << (opt_vertical_ ? "height=0]\n" : "width=0]\n");
+      }
+
       void
       print_dst(int dst, bool print_edges = false,
                 const char* style = nullptr, int color_num = -1)
@@ -444,7 +478,15 @@ namespace spot
           {
             for (unsigned d: aut_->univ_dests(dst))
               {
-                os_ << "  " << dest << " -> " << d;
+                bool dst_is_hidden_true_state =
+                  opt_hide_true_states_ && true_states_[d];
+                if (dst_is_hidden_true_state)
+                  print_true_state(d, dest);
+                os_ << "  " << dest << " -> ";
+                if (dst_is_hidden_true_state)
+                  os_ << 'T' << d << 'T' << dest;
+                else
+                  os_ << d;
                 if (style && *style)
                   os_ << " [" << style << ']';
                 os_ << '\n';
@@ -679,11 +721,20 @@ namespace spot
       process_link(const twa_graph::edge_storage_t& t, int number,
                    bool print_edges)
       {
+        bool dst_is_hidden_true_state =
+          (t.dst < true_states_.size()) && true_states_[t.dst];
+
         if (print_edges)
           {
-            os_ << "  " << t.src << " -> " << (int)t.dst;
+            if (dst_is_hidden_true_state)
+              print_true_state(t.dst, t.src);
+            os_ << "  " << t.src << " -> ";
+            if (dst_is_hidden_true_state)
+              os_ << 'T' << t.dst << 'T' << t.src;
+            else
+              os_  << (int)t.dst;
             if (aut_->is_univ_dest(t.dst) && highlight_edges_
-                && !opt_shared_univ_dest_)
+                && !opt_shared_univ_dest_ && !dst_is_hidden_true_state)
               {
                 auto idx = aut_->get_graph().index_of_edge(t);
                 auto iter = highlight_edges_->find(idx);
@@ -746,6 +797,8 @@ namespace spot
       void print(const const_twa_graph_ptr& aut)
       {
         aut_ = aut;
+        if (opt_hide_true_states_)
+          find_true_states();
 
         sn_ = aut->get_named_prop<std::vector<std::string>>("state-names");
         // We have no names.  Do we have product sources?
@@ -851,6 +904,8 @@ namespace spot
                   }
                 for (auto s: si->states_of(i))
                   {
+                    if (opt_hide_true_states_ && true_states_[s])
+                      continue;
                     process_state(s);
                     int trans_num = 0;
                     unsigned scc_of_s = si->scc_of(s);
@@ -871,6 +926,8 @@ namespace spot
         unsigned ns = aut_->num_states();
         for (unsigned n = 0; n < ns; ++n)
           {
+            if (opt_hide_true_states_ && true_states_[n])
+              continue;
             if (!si || !si->reachable_state(n))
               process_state(n);
             int trans_num = 0;
diff --git a/tests/python/alternation.ipynb b/tests/python/alternation.ipynb
index 1ffac2739..20d543ba7 100644
--- a/tests/python/alternation.ipynb
+++ b/tests/python/alternation.ipynb
@@ -7,233 +7,69 @@
    "outputs": [],
    "source": [
     "import spot\n",
-    "spot.setup(show_default='.ba')"
+    "from spot.jupyter import display_inline\n",
+    "spot.setup(show_default='.bav')"
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "These test cases for the `remove_alternation()` algorithm."
+    "# Support for alternating automata"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The following automata are what we will use as examples."
    ]
   },
   {
    "cell_type": "code",
    "execution_count": 2,
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/svg+xml": [
-       "<svg height=\"227pt\" viewBox=\"0.00 0.00 478.08 226.74\" width=\"478pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
-       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 222.7401)\">\n",
-       "<title>VWAA for FGa &amp;&amp; GFb</title>\n",
-       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-222.7401 474.0802,-222.7401 474.0802,4 -4,4\" stroke=\"transparent\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"212.5401\" y=\"-204.5401\">Fin(</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"237.5401\" y=\"-204.5401\">⓿</text>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"253.5401\" y=\"-204.5401\">)</text>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"202.5401\" y=\"-190.5401\">[co-Büchi]</text>\n",
-       "<!-- I -->\n",
-       "<!-- 0 -->\n",
-       "<g class=\"node\" id=\"node2\">\n",
-       "<title>0</title>\n",
-       "<g id=\"a_node2\"><a xlink:title=\"(FG(a) &amp;&amp; GF(b))\">\n",
-       "<ellipse cx=\"56\" cy=\"-73.8701\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-70.1701\">0</text>\n",
-       "</a>\n",
-       "</g>\n",
-       "</g>\n",
-       "<!-- I&#45;&gt;0 -->\n",
-       "<g class=\"edge\" id=\"edge1\">\n",
-       "<title>I-&gt;0</title>\n",
-       "<path d=\"M1.1233,-73.8701C4.178,-73.8701 17.9448,-73.8701 30.9241,-73.8701\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "</g>\n",
-       "<!-- &#45;1 -->\n",
-       "<g class=\"node\" id=\"node3\">\n",
-       "<title>-1</title>\n",
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-       "</g>\n",
-       "<!-- 0&#45;&gt;&#45;1 -->\n",
-       "<g class=\"edge\" id=\"edge2\">\n",
-       "<title>0-&gt;-1</title>\n",
-       "<path d=\"M74.0504,-73.8701C86.3102,-73.8701 102.0051,-73.8701 111.7299,-73.8701\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<!-- 1 -->\n",
-       "<g class=\"node\" id=\"node4\">\n",
-       "<title>1</title>\n",
-       "<g id=\"a_node4\"><a xlink:title=\"GF(b)\">\n",
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-       "</a>\n",
-       "</g>\n",
-       "</g>\n",
-       "<!-- &#45;1&#45;&gt;1 -->\n",
-       "<g class=\"edge\" id=\"edge3\">\n",
-       "<title>-1-&gt;1</title>\n",
-       "<path d=\"M122.4233,-75.0813C128.4042,-79.544 149.7135,-95.444 166.1277,-107.6915\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "</g>\n",
-       "<!-- 3 -->\n",
-       "<g class=\"node\" id=\"node5\">\n",
-       "<title>3</title>\n",
-       "<g id=\"a_node5\"><a xlink:title=\"FG(a)\">\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"181.9701\" y=\"-30.6701\">3</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"178.4701\" y=\"-15.6701\">⓿</text>\n",
-       "</a>\n",
-       "</g>\n",
-       "</g>\n",
-       "<!-- &#45;1&#45;&gt;3 -->\n",
-       "<g class=\"edge\" id=\"edge4\">\n",
-       "<title>-1-&gt;3</title>\n",
-       "<path d=\"M122.4233,-72.7083C127.5148,-69.0643 143.7147,-57.47 158.5466,-46.8549\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<!-- 1&#45;&gt;1 -->\n",
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-       "<title>1-&gt;1</title>\n",
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-       "</g>\n",
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-       "<g class=\"edge\" id=\"edge6\">\n",
-       "<title>1-&gt;-4</title>\n",
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-       "</g>\n",
-       "<!-- 3&#45;&gt;3 -->\n",
-       "<g class=\"edge\" id=\"edge12\">\n",
-       "<title>3-&gt;3</title>\n",
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-       "<g class=\"node\" id=\"node9\">\n",
-       "<title>4</title>\n",
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-       "</g>\n",
-       "</g>\n",
-       "<!-- 3&#45;&gt;4 -->\n",
-       "<g class=\"edge\" id=\"edge11\">\n",
-       "<title>3-&gt;4</title>\n",
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-       "<title>-4-&gt;1</title>\n",
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-       "</g>\n",
-       "<!-- 2 -->\n",
-       "<g class=\"node\" id=\"node7\">\n",
-       "<title>2</title>\n",
-       "<g id=\"a_node7\"><a xlink:title=\"F(b)\">\n",
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-       "</a>\n",
-       "</g>\n",
-       "</g>\n",
-       "<!-- &#45;4&#45;&gt;2 -->\n",
-       "<g class=\"edge\" id=\"edge8\">\n",
-       "<title>-4-&gt;2</title>\n",
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-       "<title>2-&gt;2</title>\n",
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-       "<title>5-&gt;5</title>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"447.5802\" y=\"-162.6701\">1</text>\n",
-       "</g>\n",
-       "<!-- 4&#45;&gt;4 -->\n",
-       "<g class=\"edge\" id=\"edge13\">\n",
-       "<title>4-&gt;4</title>\n",
-       "<path d=\"M273.9609,-43.9074C272.659,-53.728 274.7854,-62.8701 280.3401,-62.8701 284.5061,-62.8701 286.7437,-57.7276 287.0529,-51.0134\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"276.8401\" y=\"-66.6701\">a</text>\n",
-       "</g>\n",
-       "</g>\n",
-       "</svg>"
-      ],
-      "text/plain": [
-       "<IPython.core.display.SVG object>"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "aut = spot.automaton('''\n",
-    "HOA: v1\n",
-    "tool: \"ltl3ba\" \"1.1.3\"\n",
-    "name: \"VWAA for FGa && GFb\"\n",
-    "States: 6\n",
-    "Start: 0\n",
-    "acc-name: co-Buchi\n",
-    "Acceptance: 1 Fin(0)\n",
-    "AP: 2 \"a\" \"b\"\n",
-    "properties: trans-labels explicit-labels state-acc univ-branch very-weak\n",
-    "--BODY--\n",
-    "State: 0 \"(FG(a) && GF(b))\"\n",
-    " [t] 3&1\n",
-    "State: 1 \"GF(b)\"\n",
-    " [(1)] 1\n",
-    " [(!1)] 2&1\n",
-    "State: 2 \"F(b)\" {0}\n",
-    " [(1)] 5\n",
-    " [(!1)] 2\n",
-    "State: 3 \"FG(a)\" {0}\n",
-    " [(0)] 4\n",
-    " [t] 3\n",
-    "State: 4 \"G(a)\"\n",
-    " [(0)] 4\n",
-    "State: 5 \"t\"\n",
-    " [t] 5\n",
-    "--END--\n",
-    "'''); aut.show('.1ab')"
+    "aut1, aut2, aut3, aut4, aut5 = spot.automata('''\n",
+    "HOA: v1 tool: \"ltl3ba\" \"1.1.3\" name: \"VWAA for FGa && GFb\" States: 6\n",
+    "Start: 0 acc-name: co-Buchi Acceptance: 1 Fin(0) AP: 2 \"a\" \"b\" properties:\n",
+    "trans-labels explicit-labels state-acc univ-branch very-weak --BODY--\n",
+    "State: 0 \"(FG(a) && GF(b))\" [t] 3&1 State: 1 \"GF(b)\" [(1)] 1 [(!1)]\n",
+    "2&1 State: 2 \"F(b)\" {0} [(1)] 5 [(!1)] 2 State: 3 \"FG(a)\" {0} [(0)] 4\n",
+    "[t] 3 State: 4 \"G(a)\" [(0)] 4 State: 5 \"t\" [t] 5 --END--\n",
+    "/* Example from ADL's PSL2TGBA talk. */\n",
+    "HOA: v1 States: 3 Start: 0 acc-name: co-Buchi Acceptance: 1 Fin(0) AP:\n",
+    "3 \"a\" \"b\" \"p\" --BODY-- State: 0 \"(a;a*;b)*\" {0} [0] 1 [!0] 2 State: 1\n",
+    "\"a*;b;(a;a*;b)*\" {0} [0&1&2] 0&1 [!1&2] 1 [!0&!1] 2 [!0&1&2] 0 State:\n",
+    "2 [t] 2 --END--\n",
+    "HOA: v1 States: 5 Start: 3 acc-name: co-Buchi Acceptance: 1 Fin(0) AP:\n",
+    "3 \"a\" \"b\" \"p\" --BODY-- State: 0 \"(a;a*;b)*\" {0} [0] 1 [!0] 2 State: 1\n",
+    "\"a*;b;(a;a*;b)*\" {0} [0&1&2] 0&1 [!1&2] 1 [!0&!1] 2 [!0&1&2] 0 State:\n",
+    "2 [t] 2 State: 3 [0] 4&0 State: 4 [t] 3 --END--\n",
+    "HOA: v1 States: 3 Start: 0 acc-name: co-Buchi Acceptance: 1 Fin(0) AP:\n",
+    "3 \"a\" \"b\" \"p\" --BODY-- State: 0 \"(a;a*;b)*\" {0} [0] 1 [!0] 2 State: 1\n",
+    "\"a*;b;(a;a*;b)*\" {0} [0&1&2] 0&1 [!1&2] 1 [!0&!1] 2 [!0&1&2] 0 State:\n",
+    "2 [t] 2 --END--\n",
+    "HOA: v1 tool: \"ltl3dra\" \"0.2.2\" name: \"VWAA for GFa\" States: 3 Start: 0\n",
+    "acc-name: co-Buchi Acceptance: 1 Fin(0) AP: 1 \"a\" properties: trans-labels\n",
+    "explicit-labels state-acc univ-branch very-weak --BODY-- State: 0 \"GF(a)\"\n",
+    "[t] 1&0 State: 1 \"F(a)\" {0} [(0)] 2 [t] 1 State: 2 \"t\" [t] 2 --END--\n",
+    "''')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Various display options"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Here is the default output, using the `bav` options as set by default in the first cell. "
    ]
   },
   {
@@ -243,184 +79,643 @@
    "outputs": [
     {
      "data": {
-      "image/svg+xml": [
-       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
+      "text/html": [
+       "<div style='vertical-align:text-top;display:inline-block;'><?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",
+       "<!-- Title: VWAA for FGa &amp;&amp; GFb Pages: 1 -->\n",
+       "<svg width=\"147pt\" height=\"360pt\"\n",
+       " viewBox=\"0.00 0.00 147.15 360.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g id=\"graph0\" class=\"graph\" transform=\"scale(.6817 .6817) rotate(0) translate(4 524.0802)\">\n",
+       "<title>VWAA for FGa &amp;&amp; GFb</title>\n",
+       "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-524.0802 211.8525,-524.0802 211.8525,4 -4,4\"/>\n",
+       "<text text-anchor=\"start\" x=\"81.4262\" y=\"-505.8802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">Fin(</text>\n",
+       "<text text-anchor=\"start\" x=\"106.4262\" y=\"-505.8802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
+       "<text text-anchor=\"start\" x=\"122.4262\" y=\"-505.8802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)</text>\n",
+       "<text text-anchor=\"start\" x=\"71.4262\" y=\"-491.8802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[co&#45;Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g id=\"node2\" class=\"node\">\n",
+       "<title>0</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"88.4971\" cy=\"-428.0802\" rx=\"77.1866\" ry=\"18\"/>\n",
+       "<text text-anchor=\"start\" x=\"36.9971\" y=\"-424.3802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">(FG(a) &amp;&amp; GF(b))</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=\"M88.4971,-482.9569C88.4971,-479.9023 88.4971,-466.1354 88.4971,-453.1561\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g id=\"node3\" class=\"node\">\n",
+       "<title>&#45;1</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"88.4971\" cy=\"-357.2802\" rx=\"1.8\" ry=\"1.8\"/>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g id=\"edge2\" class=\"edge\">\n",
+       "<title>0&#45;&gt;&#45;1</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M88.4971,-409.8475C88.4971,-396.0195 88.4971,-377.5804 88.4971,-366.6177\"/>\n",
+       "<polygon fill=\"none\" stroke=\"#000000\" points=\"90.9472,-366.4329 88.4971,-359.4329 86.0472,-366.433 90.9472,-366.4329\"/>\n",
+       "<text text-anchor=\"start\" x=\"88.4971\" y=\"-380.8802\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g id=\"node4\" class=\"node\">\n",
+       "<title>1</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"32.4971\" cy=\"-291.6102\" rx=\"32.4942\" ry=\"18\"/>\n",
+       "<text text-anchor=\"start\" x=\"15.4971\" y=\"-287.9102\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">GF(b)</text>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g id=\"edge3\" class=\"edge\">\n",
+       "<title>&#45;1&#45;&gt;1</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M87.1128,-355.6569C82.1926,-349.8871 65.1076,-329.8518 51.3409,-313.7079\"/>\n",
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+       "</g>\n",
+       "<!-- 3 -->\n",
+       "<g id=\"node5\" class=\"node\">\n",
+       "<title>3</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"145.4971\" cy=\"-291.6102\" rx=\"35.2113\" ry=\"26.7407\"/>\n",
+       "<text text-anchor=\"start\" x=\"128.4971\" y=\"-295.4102\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">FG(a)</text>\n",
+       "<text text-anchor=\"start\" x=\"137.4971\" y=\"-280.4102\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;3 -->\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
+       "<title>&#45;1&#45;&gt;3</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M89.9061,-355.6569C94.334,-350.5555 108.4411,-334.3027 121.3351,-319.4474\"/>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
+       "<title>1&#45;&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4 -->\n",
+       "<g id=\"node6\" class=\"node\">\n",
+       "<title>&#45;4</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"32.4971\" cy=\"-195.7401\" rx=\"1.8\" ry=\"1.8\"/>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;4 -->\n",
+       "<g id=\"edge6\" class=\"edge\">\n",
+       "<title>1&#45;&gt;&#45;4</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M24.9618,-273.8704C20.828,-261.9953 17.0032,-245.9889 19.4971,-231.7401 21.2098,-221.9546 25.3556,-211.3209 28.5087,-204.1669\"/>\n",
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+       "<text text-anchor=\"start\" x=\"19.4971\" y=\"-235.5401\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!b</text>\n",
+       "</g>\n",
+       "<!-- 3&#45;&gt;3 -->\n",
+       "<g id=\"edge12\" class=\"edge\">\n",
+       "<title>3&#45;&gt;3</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M179.3636,-299.8582C190.2356,-299.7736 198.8525,-297.0242 198.8525,-291.6102 198.8525,-287.465 193.8014,-284.8819 186.5544,-283.8608\"/>\n",
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+       "</g>\n",
+       "<!-- 4 -->\n",
+       "<g id=\"node9\" class=\"node\">\n",
+       "<title>4</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"145.4971\" cy=\"-195.7401\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"start\" x=\"132.9971\" y=\"-192.0401\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">G(a)</text>\n",
+       "</g>\n",
+       "<!-- 3&#45;&gt;4 -->\n",
+       "<g id=\"edge11\" class=\"edge\">\n",
+       "<title>3&#45;&gt;4</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;1 -->\n",
+       "<g id=\"edge7\" class=\"edge\">\n",
+       "<title>&#45;4&#45;&gt;1</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M32.4971,-197.9456C32.4971,-206.9744 32.4971,-241.7972 32.4971,-266.3333\"/>\n",
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+       "<!-- 2 -->\n",
+       "<g id=\"node7\" class=\"node\">\n",
+       "<title>2</title>\n",
+       "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"32.4971\" cy=\"-113.8701\" rx=\"28.0702\" ry=\"26.7407\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;2 -->\n",
+       "<g id=\"edge8\" class=\"edge\">\n",
+       "<title>&#45;4&#45;&gt;2</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M32.4971,-193.7163C32.4971,-187.3254 32.4971,-166.8954 32.4971,-148.3022\"/>\n",
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+       "</g>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g id=\"edge10\" class=\"edge\">\n",
+       "<title>2&#45;&gt;2</title>\n",
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+       "</svg>\n",
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       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fefe020aa20> >"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 3,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "aut2 = spot.remove_alternation(aut, True); aut2"
+    "display_inline(aut1, aut2, aut3, aut4, aut5)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "If the state labels take too much space, you can reduce the size of the automaton by forcing states to be numbered with option `1`.  The original label is still displayed as a tooltip when the mouse is over the state."
    ]
   },
   {
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+       "<!-- &#45;4&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>-4-&gt;1</title>\n",
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+       "<!-- 2 -->\n",
+       "<g class=\"node\" id=\"node7\">\n",
+       "<title>2</title>\n",
+       "<g id=\"a_node7\"><a xlink:title=\"F(b)\">\n",
+       "<ellipse cx=\"26.8701\" cy=\"-113.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>-4-&gt;2</title>\n",
+       "<path d=\"M26.8701,-193.7163C26.8701,-187.3254 26.8701,-166.8954 26.8701,-148.3022\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>2-&gt;2</title>\n",
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+       "</g>\n",
+       "<!-- 5 -->\n",
+       "<g class=\"node\" id=\"node8\">\n",
+       "<title>5</title>\n",
+       "<g id=\"a_node8\"><a xlink:title=\"t\">\n",
+       "<ellipse cx=\"26.8701\" cy=\"-18\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 2&#45;&gt;5 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>2-&gt;5</title>\n",
+       "<path d=\"M26.8701,-86.9098C26.8701,-73.2648 26.8701,-56.7955 26.8701,-43.3794\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"26.8701,-36.2775 30.0202,-43.2775 26.8701,-39.7775 26.8702,-43.2775 26.8702,-43.2775 26.8702,-43.2775 26.8701,-39.7775 23.7202,-43.2776 26.8701,-36.2775 26.8701,-36.2775\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 5&#45;&gt;5 -->\n",
+       "<g class=\"edge\" id=\"edge14\">\n",
+       "<title>5-&gt;5</title>\n",
+       "<path d=\"M43.5341,-25.3828C53.4951,-27.0234 62.8701,-24.5625 62.8701,-18 62.8701,-13.0781 57.5966,-10.4634 50.7576,-10.1558\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<g class=\"edge\" id=\"edge13\">\n",
+       "<title>4-&gt;4</title>\n",
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-       "</svg>\n"
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"327pt\" viewBox=\"0.00 0.00 193.79 327.48\" width=\"194pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 323.4802)\">\n",
+       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-323.4802 189.7888,-323.4802 189.7888,4 -4,4\" stroke=\"transparent\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"70.3944\" y=\"-305.2802\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"95.3944\" y=\"-305.2802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"111.3944\" y=\"-305.2802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"60.3944\" y=\"-291.2802\">[co-Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"(a;a*;b)*\">\n",
+       "<ellipse cx=\"86\" cy=\"-218.6102\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"81.5\" y=\"-222.4102\">0</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"78\" y=\"-207.4102\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
+       "<path d=\"M86,-282.2573C86,-279.1051 86,-266.1173 86,-252.6885\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"86,-245.6757 89.1501,-252.6756 86,-249.1757 86.0001,-252.6757 86.0001,-252.6757 86.0001,-252.6757 86,-249.1757 82.8501,-252.6757 86,-245.6757 86,-245.6757\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
+       "<ellipse cx=\"86\" cy=\"-113.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"81.5\" y=\"-117.6701\">1</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"78\" y=\"-102.6701\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
+       "<path d=\"M77.1095,-193.098C74.411,-182.5207 72.5083,-170.0914 74,-158.7401 74.5122,-154.8426 75.2645,-150.8023 76.1468,-146.815\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"74\" y=\"-162.5401\">a</text>\n",
+       "</g>\n",
+       "<!-- 2 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>2</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"18\" y=\"-14.3\">2</text>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;2</title>\n",
+       "<path d=\"M70.1054,-196.826C59.8191,-181.7592 46.9152,-160.8734 39,-140.7401 27.0818,-110.4247 29.2415,-101.1495 24,-69 22.6242,-60.5612 21.4371,-51.2874 20.4905,-42.9887\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"19.7218,-35.9924 23.6175,-42.6064 20.1041,-39.4714 20.4864,-42.9505 20.4864,-42.9505 20.4864,-42.9505 20.1041,-39.4714 17.3552,-43.2946 19.7218,-35.9924 19.7218,-35.9924\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"39\" y=\"-110.1701\">!a</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>1-&gt;0</title>\n",
+       "<path d=\"M86,-140.7518C86,-154.0554 86,-170.261 86,-184.4358\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"86,-191.637 82.8501,-184.6369 86,-188.137 86.0001,-184.637 86.0001,-184.637 86.0001,-184.637 86,-188.137 89.1501,-184.637 86,-191.637 86,-191.637\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"86\" y=\"-162.5401\">!a &amp; b &amp; p</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M111.37,-123.5344C121.9238,-124.2009 130.8701,-120.9794 130.8701,-113.8701 130.8701,-108.4269 125.6259,-105.2629 118.4312,-104.3778\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"130.8701\" y=\"-110.1701\">!b &amp; p</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;2</title>\n",
+       "<path d=\"M63.7074,-98.5189C53.74,-90.6832 42.5599,-80.4015 35,-69 29.7908,-61.1437 26.0458,-51.5481 23.4206,-42.8085\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"35\" y=\"-57.8\">!a &amp; !b</text>\n",
+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>-1</title>\n",
+       "<ellipse cx=\"173\" cy=\"-18\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
+       "<path d=\"M86.7675,-86.9417C88.2935,-75.7727 91.7063,-63.2839 99,-54 115.6814,-32.7669 148.066,-23.2637 163.8748,-19.7437\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"none\" points=\"164.3646,-22.1444 170.7471,-18.3673 163.4022,-17.3398 164.3646,-22.1444\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>2-&gt;2</title>\n",
+       "<path d=\"M34.6641,-25.3828C44.625,-27.0234 54,-24.5625 54,-18 54,-13.0781 48.7266,-10.4634 41.8876,-10.1558\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"34.6641,-10.6172 41.449,-7.0273 38.1569,-10.394 41.6498,-10.1709 41.6498,-10.1709 41.6498,-10.1709 38.1569,-10.394 41.8507,-13.3145 34.6641,-10.6172 34.6641,-10.6172\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"58.5\" y=\"-14.3\">1</text>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
+       "<path d=\"M173.564,-19.7969C177.0283,-31.1379 194.7654,-93.822 179,-140.7401 169.1903,-169.9339 140.2364,-191.1861 117.2137,-204.0425\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 149.55 360.00\" width=\"150pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(.7717 .7717) rotate(0) translate(4 462.4802)\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"70.3944\" y=\"-444.2802\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"95.3944\" y=\"-444.2802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"111.3944\" y=\"-444.2802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"60.3944\" y=\"-430.2802\">[co-Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 3 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>3</title>\n",
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+       "</g>\n",
+       "<!-- I&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;3</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4 -->\n",
+       "<g class=\"node\" id=\"node7\">\n",
+       "<title>-4</title>\n",
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+       "</g>\n",
+       "<!-- 3&#45;&gt;&#45;4 -->\n",
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+       "</g>\n",
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+       "<title>0</title>\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
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+       "<title>0-&gt;1</title>\n",
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+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>2</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"18\" y=\"-14.3\">2</text>\n",
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+       "<!-- 0&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;2</title>\n",
+       "<path d=\"M70.1054,-196.826C59.8191,-181.7592 46.9152,-160.8734 39,-140.7401 27.0818,-110.4247 29.2415,-101.1495 24,-69 22.6242,-60.5612 21.4371,-51.2874 20.4905,-42.9887\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- 1&#45;&gt;0 -->\n",
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+       "<title>1-&gt;0</title>\n",
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+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M111.37,-123.5344C121.9238,-124.2009 130.8701,-120.9794 130.8701,-113.8701 130.8701,-108.4269 125.6259,-105.2629 118.4312,-104.3778\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- 1&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;2</title>\n",
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+       "</g>\n",
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+       "<g class=\"node\" id=\"node6\">\n",
+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
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+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>2-&gt;2</title>\n",
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+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge12\">\n",
+       "<title>-4-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- 4 -->\n",
+       "<g class=\"node\" id=\"node8\">\n",
+       "<title>4</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;4 -->\n",
+       "<g class=\"edge\" id=\"edge13\">\n",
+       "<title>-4-&gt;4</title>\n",
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+       "</g>\n",
+       "<!-- 4&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge14\">\n",
+       "<title>4-&gt;3</title>\n",
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+       "</g>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"111.3944\" y=\"-305.2802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"60.3944\" y=\"-291.2802\">[co-Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
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+       "<title>2</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"18\" y=\"-14.3\">2</text>\n",
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+       "<!-- 0&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;2</title>\n",
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+       "<!-- 1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<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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+       "<title>1-&gt;2</title>\n",
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+       "<title>2-&gt;2</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
+       "<path d=\"M173.564,-19.7969C177.0283,-31.1379 194.7654,-93.822 179,-140.7401 169.1903,-169.9339 140.2364,-191.1861 117.2137,-204.0425\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"350pt\" viewBox=\"0.00 0.00 89.00 350.34\" width=\"89pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 346.3401)\">\n",
+       "<title>VWAA for GFa</title>\n",
+       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-346.3401 85,-346.3401 85,4 -4,4\" stroke=\"transparent\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"18\" y=\"-328.1401\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"43\" y=\"-328.1401\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"59\" y=\"-328.1401\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"8\" y=\"-314.1401\">[co-Büchi]</text>\n",
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+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"GF(a)\">\n",
+       "<ellipse cx=\"27\" cy=\"-250.3401\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"27\" y=\"-246.6401\">0</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
+       "<path d=\"M27,-305.2168C27,-302.1622 27,-288.3953 27,-275.416\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"27,-268.3594 30.1501,-275.3593 27,-271.8594 27.0001,-275.3594 27.0001,-275.3594 27.0001,-275.3594 27,-271.8594 23.8501,-275.3594 27,-268.3594 27,-268.3594\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>-1</title>\n",
+       "<ellipse cx=\"27\" cy=\"-179.5401\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;-1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>-1-&gt;0</title>\n",
+       "<path d=\"M27,-181.6928C27,-188.162 27,-208.0132 27,-224.7147\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"27,-232.1074 23.8501,-225.1073 27,-228.6074 27.0001,-225.1074 27.0001,-225.1074 27.0001,-225.1074 27,-228.6074 30.1501,-225.1074 27,-232.1074 27,-232.1074\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"F(a)\">\n",
+       "<ellipse cx=\"27\" cy=\"-113.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"22.5\" y=\"-117.6701\">1</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"19\" y=\"-102.6701\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>-1-&gt;1</title>\n",
+       "<path d=\"M27,-177.6456C27,-173.0748 27,-160.8923 27,-148.3841\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M52.8213,-122.0697C63.1776,-122.533 71.8701,-119.7997 71.8701,-113.8701 71.8701,-109.4228 66.9805,-106.7735 60.1667,-105.9223\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 2 -->\n",
+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>2</title>\n",
+       "<g id=\"a_node5\"><a xlink:title=\"t\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"27\" y=\"-14.3\">2</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>1-&gt;2</title>\n",
+       "<path d=\"M27,-86.9098C27,-73.2648 27,-56.7955 27,-43.3794\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"27,-36.2775 30.1501,-43.2775 27,-39.7775 27.0001,-43.2775 27.0001,-43.2775 27.0001,-43.2775 27,-39.7775 23.8501,-43.2776 27,-36.2775 27,-36.2775\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"27\" y=\"-57.8\">a</text>\n",
+       "</g>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>2-&gt;2</title>\n",
+       "<path d=\"M43.6641,-25.3828C53.625,-27.0234 63,-24.5625 63,-18 63,-13.0781 57.7266,-10.4634 50.8876,-10.1558\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"63\" y=\"-14.3\">1</text>\n",
+       "</g>\n",
+       "</g>\n",
+       "</svg></div>"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fefe02e5f60> >"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 4,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "spot.scc_filter(aut2, True)"
+    "display_inline(aut1.show('.bav1'), aut2.show('.bav1'), aut3.show('.bav1'), aut4.show('.bav1'), aut5.show('.bav1'))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "When working with alternating automata, it is quite common to hide \"true states\", and display \"exiting transitions instead\".  You can do that with option `u`."
    ]
   },
   {
@@ -599,147 +1376,585 @@
    "outputs": [
     {
      "data": {
-      "image/svg+xml": [
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"156.2401\" y=\"-144.0143\">[co-Büchi]</text>\n",
+      "text/html": [
+       "<div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 130.50 360.00\" width=\"130pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(.7301 .7301) rotate(0) translate(4 489.0802)\">\n",
+       "<title>VWAA for FGa &amp;&amp; GFb</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"62.8701\" y=\"-470.8802\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"87.8701\" y=\"-470.8802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"103.8701\" y=\"-470.8802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"52.8701\" y=\"-456.8802\">[co-Büchi]</text>\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;-1</title>\n",
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+       "</g>\n",
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+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"GF(b)\">\n",
+       "<ellipse cx=\"26.8701\" cy=\"-256.6102\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>-1-&gt;1</title>\n",
+       "<path d=\"M69.7824,-320.6569C65.857,-314.7982 52.0767,-294.2312 41.1779,-277.9647\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 3 -->\n",
+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>3</title>\n",
+       "<g id=\"a_node5\"><a xlink:title=\"FG(a)\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>-1-&gt;3</title>\n",
+       "<path d=\"M72.0071,-320.6569C75.5736,-315.5654 86.9211,-299.3656 97.3105,-284.5336\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>1-&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4 -->\n",
+       "<g class=\"node\" id=\"node6\">\n",
+       "<title>-4</title>\n",
+       "<ellipse cx=\"26.8701\" cy=\"-160.7401\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;4 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>1-&gt;-4</title>\n",
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+       "</g>\n",
+       "<!-- 3&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge12\">\n",
+       "<title>3-&gt;3</title>\n",
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+       "</g>\n",
+       "<!-- 4 -->\n",
+       "<g class=\"node\" id=\"node9\">\n",
+       "<title>4</title>\n",
+       "<g id=\"a_node9\"><a xlink:title=\"G(a)\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 3&#45;&gt;4 -->\n",
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+       "<title>3-&gt;4</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>-4-&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- 2 -->\n",
+       "<g class=\"node\" id=\"node7\">\n",
+       "<title>2</title>\n",
+       "<g id=\"a_node7\"><a xlink:title=\"F(b)\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>-4-&gt;2</title>\n",
+       "<path d=\"M26.8701,-158.7163C26.8701,-152.3254 26.8701,-131.8954 26.8701,-113.3022\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>2-&gt;2</title>\n",
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+       "</g>\n",
+       "<!-- T5T2 -->\n",
+       "<!-- 2&#45;&gt;T5T2 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>2-&gt;T5T2</title>\n",
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+       "</g>\n",
+       "<!-- 4&#45;&gt;4 -->\n",
+       "<g class=\"edge\" id=\"edge13\">\n",
+       "<title>4-&gt;4</title>\n",
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+       "</g>\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"84.526\" y=\"-272.8802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"100.526\" y=\"-272.8802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"49.526\" y=\"-258.8802\">[co-Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
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+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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-       "<!-- 0&#45;&gt;2 -->\n",
+       "<!-- T2T0 -->\n",
+       "<!-- 0&#45;&gt;T2T0 -->\n",
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+       "<title>0-&gt;T2T0</title>\n",
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-       "</svg>"
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 160.14 360.00\" width=\"160pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"95.0489\" y=\"-411.8802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"111.0489\" y=\"-411.8802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"60.0489\" y=\"-397.8802\">[co-Büchi]</text>\n",
+       "<!-- I -->\n",
+       "<!-- 3 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>3</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"148.0978\" y=\"-330.3802\">3</text>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;3</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4 -->\n",
+       "<g class=\"node\" id=\"node8\">\n",
+       "<title>-4</title>\n",
+       "<ellipse cx=\"129.0978\" cy=\"-257.5802\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 3&#45;&gt;&#45;4 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>3-&gt;-4</title>\n",
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+       "</g>\n",
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+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"99.5978\" y=\"-190.0102\">0</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"96.0978\" y=\"-175.0102\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
+       "<ellipse cx=\"46.0978\" cy=\"-81.4701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"38.0978\" y=\"-70.2701\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
+       "<path d=\"M78.5833,-177.23C62.6836,-170.152 43.5164,-158.565 34.0978,-141.3401 29.3095,-132.5832 29.6662,-122.1697 32.0312,-112.5025\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"34.0978\" y=\"-130.1401\">a</text>\n",
+       "</g>\n",
+       "<!-- T2T0 -->\n",
+       "<!-- 0&#45;&gt;T2T0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;T2T0</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"133.0978\" y=\"-130.1401\">!a</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>1-&gt;0</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"58.0978\" y=\"-130.1401\">!a &amp; b &amp; p</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>1-&gt;1</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"90.9678\" y=\"-77.7701\">!b &amp; p</text>\n",
+       "</g>\n",
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+       "<g class=\"node\" id=\"node6\">\n",
+       "<title>-1</title>\n",
+       "<ellipse cx=\"91.0978\" cy=\"-1.8\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
+       "<path d=\"M59.3559,-57.9973C68.5351,-41.7459 80.1983,-21.0969 86.5204,-9.9041\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- T2T1 -->\n",
+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge11\">\n",
+       "<title>-4-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- 4 -->\n",
+       "<g class=\"node\" id=\"node9\">\n",
+       "<title>4</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"167.0978\" y=\"-182.5102\">4</text>\n",
+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;4 -->\n",
+       "<g class=\"edge\" id=\"edge12\">\n",
+       "<title>-4-&gt;4</title>\n",
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+       "</g>\n",
+       "<!-- 4&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge13\">\n",
+       "<title>4-&gt;3</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"295pt\" viewBox=\"0.00 0.00 172.05 295.08\" width=\"172pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"84.526\" y=\"-272.8802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"100.526\" y=\"-272.8802\">)</text>\n",
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+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
+       "<ellipse cx=\"46.0978\" cy=\"-81.4701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
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+       "<!-- 0&#45;&gt;T2T0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;T2T0</title>\n",
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+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>1-&gt;0</title>\n",
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+       "<title>1-&gt;1</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"90.9678\" y=\"-77.7701\">!b &amp; p</text>\n",
+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
+       "<path d=\"M59.3559,-57.9973C68.5351,-41.7459 80.1983,-21.0969 86.5204,-9.9041\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- T2T1 -->\n",
+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;T2T1</title>\n",
+       "<path d=\"M24.5641,-65.0166C16.264,-57.372 7.6804,-47.548 3.0978,-36.6 -.5823,-27.8083 -.1082,-16.6437 .7987,-9.3652\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"315pt\" viewBox=\"0.00 0.00 89.00 315.34\" width=\"89pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 311.3401)\">\n",
+       "<title>VWAA for GFa</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"59\" y=\"-293.1401\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"8\" y=\"-279.1401\">[co-Büchi]</text>\n",
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+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
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+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;-1</title>\n",
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+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"F(a)\">\n",
+       "<ellipse cx=\"27\" cy=\"-78.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"19\" y=\"-67.6701\">⓿</text>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>1-&gt;1</title>\n",
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+       "<!-- T2T1 -->\n",
+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"27\" y=\"-22.8\">a</text>\n",
+       "</g>\n",
+       "</g>\n",
+       "</svg></div>"
       ],
       "text/plain": [
-       "<IPython.core.display.SVG object>"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 5,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "# Example from ADL's PSL2TGBA talk.\n",
-    "aut = spot.automaton('''\n",
-    "HOA: v1\n",
-    "States: 3\n",
-    "Start: 0\n",
-    "acc-name: co-Buchi\n",
-    "Acceptance: 1 Fin(0)\n",
-    "AP: 3 \"a\" \"b\" \"p\"\n",
-    "--BODY--\n",
-    "State: 0 \"(a;a*;b)*\" {0}\n",
-    " [0] 1\n",
-    " [!0] 2\n",
-    "State: 1 \"a*;b;(a;a*;b)*\" {0}\n",
-    " [0&1&2] 0&1\n",
-    " [!1&2] 1\n",
-    " [!0&!1] 2\n",
-    " [!0&1&2] 0\n",
-    "State: 2\n",
-    " [t] 2\n",
-    "--END--\n",
-    "'''); aut.show('.1ab')"
+    "display_inline(aut1.show('.bav1u'), aut2.show('.bav1u'), aut3.show('.bav1u'), aut4.show('.bav1u'), aut5.show('.bav1u'))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Let's make sure that option `u` and `s` (to display SCCs) work well together:"
    ]
   },
   {
@@ -749,147 +1964,641 @@
    "outputs": [
     {
      "data": {
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-       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
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-       "<text text-anchor=\"start\" x=\"294.9469\" y=\"-172.6684\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)</text>\n",
-       "<text text-anchor=\"start\" x=\"254.9469\" y=\"-158.6684\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[Büchi]</text>\n",
+      "text/html": [
+       "<div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 143.68 360.00\" width=\"144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(.6746 .6746) rotate(0) translate(4 529.6802)\">\n",
+       "<title>VWAA for FGa &amp;&amp; GFb</title>\n",
+       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-529.6802 209,-529.6802 209,4 -4,4\" stroke=\"transparent\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"80\" y=\"-511.4802\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"105\" y=\"-511.4802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"121\" y=\"-511.4802\">)</text>\n",
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+       "<title>cluster_1</title>\n",
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+       "</g>\n",
+       "<g class=\"cluster\" id=\"clust3\">\n",
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        "<!-- I&#45;&gt;0 -->\n",
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+       "</a>\n",
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+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"49\" y=\"-138.2701\">⓿</text>\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
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+       "</g>\n",
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+       "<!-- 0&#45;&gt;T2T0 -->\n",
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+       "<title>0-&gt;T2T0</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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+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
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+       "</g>\n",
+       "<!-- T2T1 -->\n",
+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 164.42 360.00\" width=\"164pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"154.5\" y=\"-590.8802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"103.5\" y=\"-576.8802\">[co-Büchi]</text>\n",
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+       "<title>cluster_1</title>\n",
+       "<polygon fill=\"none\" points=\"81,-8 81,-362.0802 242,-362.0802 242,-8 81,-8\" stroke=\"#ff0000\"/>\n",
+       "</g>\n",
+       "<g class=\"cluster\" id=\"clust3\">\n",
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+       "</g>\n",
+       "<!-- I -->\n",
+       "<!-- 3 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>3</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"41\" y=\"-509.3802\">3</text>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;3</title>\n",
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+       "</g>\n",
+       "<!-- &#45;4 -->\n",
+       "<g class=\"node\" id=\"node6\">\n",
+       "<title>-4</title>\n",
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+       "</g>\n",
+       "<!-- 3&#45;&gt;&#45;4 -->\n",
+       "<g class=\"edge\" id=\"edge10\">\n",
+       "<title>3-&gt;-4</title>\n",
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+       "</g>\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node4\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
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+       "<!-- 0&#45;&gt;T2T0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;T2T0</title>\n",
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+       "<!-- 1&#45;&gt;0 -->\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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+       "<g class=\"node\" id=\"node5\">\n",
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+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
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+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "<title>-1-&gt;1</title>\n",
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+       "<!-- &#45;4&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge11\">\n",
+       "<title>-4-&gt;0</title>\n",
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+       "<title>-4-&gt;4</title>\n",
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+       "<title>4-&gt;3</title>\n",
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+       "<polygon fill=\"#000000\" points=\"41,-495.0275 37.8501,-488.0275 41,-491.5275 41.0001,-488.0275 41.0001,-488.0275 41.0001,-488.0275 41,-491.5275 44.1501,-488.0276 41,-495.0275 41,-495.0275\" stroke=\"#000000\"/>\n",
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+       "</svg></div><div style='vertical-align:text-top;display:inline-block;'><svg height=\"360pt\" viewBox=\"0.00 0.00 179.53 360.00\" width=\"180pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"77\" y=\"-392.8802\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"102\" y=\"-392.8802\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"118\" y=\"-392.8802\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"67\" y=\"-378.8802\">[co-Büchi]</text>\n",
+       "<g class=\"cluster\" id=\"clust2\">\n",
+       "<title>cluster_1</title>\n",
+       "<polygon fill=\"none\" points=\"8,-8 8,-341.0802 169,-341.0802 169,-8 8,-8\" stroke=\"#ff0000\"/>\n",
+       "</g>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"(a;a*;b)*\">\n",
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+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"98\" y=\"-295.0102\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
+       "<path d=\"M106,-369.8573C106,-366.7051 106,-353.7173 106,-340.2885\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"106,-333.2757 109.1501,-340.2756 106,-336.7757 106.0001,-340.2757 106.0001,-340.2757 106.0001,-340.2757 106,-336.7757 102.8501,-340.2757 106,-333.2757 106,-333.2757\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"a*;b;(a;a*;b)*\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"52.5\" y=\"-153.2701\">1</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"49\" y=\"-138.2701\">⓿</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;1</title>\n",
+       "<path d=\"M86.4316,-287.4874C72.6785,-272.8753 55.4545,-251.2641 48,-228.3401 43.2021,-213.5856 44.3645,-196.5554 47.1729,-182.1044\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"48\" y=\"-217.1401\">a</text>\n",
+       "</g>\n",
+       "<!-- T2T0 -->\n",
+       "<!-- 0&#45;&gt;T2T0 -->\n",
+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>0-&gt;T2T0</title>\n",
+       "<path d=\"M128.5017,-291.3846C139.5056,-283.3843 152.4097,-272.8084 162,-261.3401 170.6524,-250.9933 177.4487,-236.7133 181.0819,-228.1655\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"171\" y=\"-250.1401\">!a</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
+       "<title>1-&gt;0</title>\n",
+       "<path d=\"M65.0219,-175.1304C73.4257,-202.0124 86.6511,-244.3172 95.7932,-273.5609\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"81\" y=\"-217.1401\">!a &amp; b &amp; p</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M82.8213,-157.6697C93.1776,-158.133 101.8701,-155.3997 101.8701,-149.4701 101.8701,-145.0228 96.9805,-142.3735 90.1667,-141.5223\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"101.8701\" y=\"-145.7701\">!b &amp; p</text>\n",
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+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 1&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>1-&gt;-1</title>\n",
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+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"158\" y=\"-93.4\">!a &amp; !b</text>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
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+       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 349.3401)\">\n",
+       "<title>VWAA for GFa</title>\n",
+       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-349.3401 117,-349.3401 117,4 -4,4\" stroke=\"transparent\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"34\" y=\"-331.1401\">Fin(</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"59\" y=\"-331.1401\">⓿</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"75\" y=\"-331.1401\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"24\" y=\"-317.1401\">[co-Büchi]</text>\n",
+       "<g class=\"cluster\" id=\"clust2\">\n",
+       "<title>cluster_1</title>\n",
+       "<polygon fill=\"none\" points=\"8,-44 8,-113.7401 105,-113.7401 105,-44 8,-44\" stroke=\"#ff0000\"/>\n",
+       "</g>\n",
+       "<g class=\"cluster\" id=\"clust3\">\n",
+       "<title>cluster_2</title>\n",
+       "<polygon fill=\"none\" points=\"13,-134.7401 13,-279.3401 76,-279.3401 76,-134.7401 13,-134.7401\" stroke=\"#00ff00\"/>\n",
+       "</g>\n",
+       "<!-- I -->\n",
+       "<!-- 0 -->\n",
+       "<g class=\"node\" id=\"node2\">\n",
+       "<title>0</title>\n",
+       "<g id=\"a_node2\"><a xlink:title=\"GF(a)\">\n",
+       "<ellipse cx=\"45\" cy=\"-253.3401\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"45\" y=\"-249.6401\">0</text>\n",
+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node4\">\n",
+       "<title>-1</title>\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;-1</title>\n",
+       "<path d=\"M44.6607,-234.8837C44.228,-211.3414 43.4964,-171.543 43.1682,-153.6882\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>1</title>\n",
+       "<g id=\"a_node3\"><a xlink:title=\"F(a)\">\n",
+       "<ellipse cx=\"43\" cy=\"-78.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"38.5\" y=\"-82.6701\">1</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"35\" y=\"-67.6701\">⓿</text>\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>1-&gt;1</title>\n",
+       "<path d=\"M68.8213,-87.0697C79.1776,-87.533 87.8701,-84.7997 87.8701,-78.8701 87.8701,-74.4228 82.9805,-71.7735 76.1667,-70.9223\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- T2T1 -->\n",
+       "<!-- 1&#45;&gt;T2T1 -->\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
+       "<title>1-&gt;T2T1</title>\n",
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+       "<g class=\"edge\" id=\"edge3\">\n",
+       "<title>-1-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>-1-&gt;1</title>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg></div>"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fefe020ab40> >"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 6,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "spot.remove_alternation(aut, True)"
+    "display_inline(aut1.show('.bav1us'), aut2.show('.bav1us'), aut3.show('.bav1us'), \n",
+    "               aut4.show('.bav1us'), aut5.show('.bav1us'))"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Alternation removal"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "The `remove_alternation()` function works on any alternating automaton that is weak (not necessarily very weak), i.e., in each SCC all transition should belong to the same accepting sets.\n",
+    "\n",
+    "The second argument of `remove_alternation()`, set to `True` below, simply asks for states to be labeled to help debugging.  As the function builds Transition-based Generalized Büchi acceptance, it can be worthwhile to apply `scc_filter()` in an attempt to reduce the number of acceptance sets.\n",
+    "\n",
+    "The next cell shows this two-step process on our first example automaton."
    ]
   },
   {
@@ -899,193 +2608,494 @@
    "outputs": [
     {
      "data": {
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+      "text/html": [
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-       "</g>\n",
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-       "<g class=\"node\" id=\"node3\">\n",
+       "<g class=\"node\" id=\"node2\">\n",
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        "</g>\n",
+       "<!-- I&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge1\">\n",
+       "<title>I-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- &#45;1 -->\n",
+       "<g class=\"node\" id=\"node3\">\n",
+       "<title>-1</title>\n",
+       "<ellipse cx=\"70.8701\" cy=\"-322.2802\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
+       "</g>\n",
+       "<!-- 0&#45;&gt;&#45;1 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;-1</title>\n",
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-       "<!-- 0&#45;&gt;2 -->\n",
+       "<!-- &#45;1&#45;&gt;1 -->\n",
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+       "<title>-1-&gt;1</title>\n",
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+       "<g class=\"node\" id=\"node5\">\n",
+       "<title>3</title>\n",
+       "<g id=\"a_node5\"><a xlink:title=\"FG(a)\">\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;1&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge4\">\n",
+       "<title>-1-&gt;3</title>\n",
+       "<path d=\"M72.0071,-320.6569C75.5736,-315.5654 86.9211,-299.3656 97.3105,-284.5336\" fill=\"none\" stroke=\"#000000\"/>\n",
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        "<!-- 1&#45;&gt;1 -->\n",
-       "<g class=\"edge\" id=\"edge7\">\n",
+       "<g class=\"edge\" id=\"edge5\">\n",
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-       "<!-- &#45;1 -->\n",
+       "<!-- &#45;4 -->\n",
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+       "<title>-4</title>\n",
+       "<ellipse cx=\"26.8701\" cy=\"-160.7401\" fill=\"#ffffaa\" rx=\"1.8\" ry=\"1.8\" stroke=\"#000000\"/>\n",
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+       "<!-- 1&#45;&gt;&#45;4 -->\n",
+       "<g class=\"edge\" id=\"edge6\">\n",
+       "<title>1-&gt;-4</title>\n",
+       "<path d=\"M19.7001,-239.9073C15.4314,-227.9384 11.3028,-211.408 13.8701,-196.7401 15.5828,-186.9546 19.7286,-176.3209 22.8816,-169.1669\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- 3&#45;&gt;3 -->\n",
+       "<g class=\"edge\" id=\"edge12\">\n",
+       "<title>3-&gt;3</title>\n",
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+       "</g>\n",
+       "<!-- 4 -->\n",
+       "<g class=\"node\" id=\"node9\">\n",
+       "<title>4</title>\n",
+       "<g id=\"a_node9\"><a xlink:title=\"G(a)\">\n",
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+       "</a>\n",
+       "</g>\n",
+       "</g>\n",
+       "<!-- 3&#45;&gt;4 -->\n",
+       "<g class=\"edge\" id=\"edge11\">\n",
+       "<title>3-&gt;4</title>\n",
+       "<path d=\"M116.8701,-229.6499C116.8701,-216.005 116.8701,-199.5356 116.8701,-186.1195\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;1 -->\n",
+       "<g class=\"edge\" id=\"edge7\">\n",
+       "<title>-4-&gt;1</title>\n",
+       "<path d=\"M26.8701,-162.9456C26.8701,-171.9744 26.8701,-206.7972 26.8701,-231.3333\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "<!-- 2 -->\n",
+       "<g class=\"node\" id=\"node7\">\n",
+       "<title>2</title>\n",
+       "<g id=\"a_node7\"><a xlink:title=\"F(b)\">\n",
+       "<ellipse cx=\"26.8701\" cy=\"-78.8701\" fill=\"#ffffaa\" rx=\"26.7407\" ry=\"26.7407\" stroke=\"#000000\"/>\n",
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+       "</g>\n",
+       "</g>\n",
+       "<!-- &#45;4&#45;&gt;2 -->\n",
+       "<g class=\"edge\" id=\"edge8\">\n",
+       "<title>-4-&gt;2</title>\n",
+       "<path d=\"M26.8701,-158.7163C26.8701,-152.3254 26.8701,-131.8954 26.8701,-113.3022\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<!-- T5T2 -->\n",
+       "<!-- 2&#45;&gt;T5T2 -->\n",
+       "<g class=\"edge\" id=\"edge9\">\n",
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       "text/plain": [
-       "<IPython.core.display.SVG object>"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 7,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "aut = spot.automaton('''\n",
-    "HOA: v1\n",
-    "States: 5\n",
-    "Start: 3\n",
-    "acc-name: co-Buchi\n",
-    "Acceptance: 1 Fin(0)\n",
-    "AP: 3 \"a\" \"b\" \"p\"\n",
-    "--BODY--\n",
-    "State: 0 \"(a;a*;b)*\" {0}\n",
-    " [0] 1\n",
-    " [!0] 2\n",
-    "State: 1 \"a*;b;(a;a*;b)*\" {0}\n",
-    " [0&1&2] 0&1\n",
-    " [!1&2] 1\n",
-    " [!0&!1] 2\n",
-    " [!0&1&2] 0\n",
-    "State: 2\n",
-    " [t] 2\n",
-    "State: 3\n",
-    " [0] 4&0\n",
-    "State: 4\n",
-    " [t] 3\n",
-    "--END--\n",
-    "'''); aut.show('.1ab')"
+    "nba1t = spot.remove_alternation(aut1, True)\n",
+    "nba1 = spot.scc_filter(nba1t, True)\n",
+    "display_inline(aut1.show('.bav1u'), nba1t, nba1)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Let's apply this process to the other 4 automata (which are not very-weak, unlike `aut1`).  The states marked with `~` are part of a break-point construction."
    ]
   },
   {
@@ -1095,923 +3105,508 @@
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-       "<IPython.core.display.SVG object>"
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-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# Example from ADL's PSL2TGBA talk.\n",
-    "aut = spot.automaton('''\n",
-    "HOA: v1\n",
-    "States: 6\n",
-    "Start: 0&3\n",
-    "Acceptance: 1 Fin(0)\n",
-    "AP: 3 \"a\" \"b\" \"p\"\n",
-    "--BODY--\n",
-    "State: 0 \"(a;a*;b)*\" {0}\n",
-    " [0] 1\n",
-    " [!0] 2\n",
-    "State: 1 \"a*;b;(a;a*;b)*\" {0}\n",
-    " [0&1&2] 0&1\n",
-    " [!1&2] 1\n",
-    " [!0&!1] 2\n",
-    " [!0&1&2] 0\n",
-    "State: 2\n",
-    " [t] 2\n",
-    "State: 3\n",
-    " [0] 3\n",
-    " [!0] 3&4\n",
-    "State: 4 {0}\n",
-    " [!0] 4\n",
-    " [0] 5\n",
-    "State: 5\n",
-    " [t] 5\n",
-    "--END--\n",
-    "'''); aut.show('.1ab')"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-      "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fefe022d630> >"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
-   "source": [
-    "a = spot.automaton('''\n",
-    "HOA: v1\n",
-    "tool: \"ltl3dra\" \"0.2.2\"\n",
-    "name: \"VWAA for GFa\"\n",
-    "States: 3\n",
-    "Start: 0\n",
-    "acc-name: co-Buchi\n",
-    "Acceptance: 1 Fin(0)\n",
-    "AP: 1 \"a\"\n",
-    "properties: trans-labels explicit-labels state-acc univ-branch very-weak\n",
-    "--BODY--\n",
-    "State: 0 \"GF(a)\"\n",
-    " [t] 1&0\n",
-    "State: 1 \"F(a)\" {0}\n",
-    " [(0)] 2\n",
-    " [t] 1\n",
-    "State: 2 \"t\"\n",
-    " [t] 2\n",
-    "--END--\n",
-    "'''); a"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 12,
-   "metadata": {},
-   "outputs": [
-    {
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        "<!-- 1&#45;&gt;1 -->\n",
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        "<title>1&#45;&gt;1</title>\n",
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        "<!-- 1&#45;&gt;1 -->\n",
        "<g id=\"edge4\" class=\"edge\">\n",
        "<title>1&#45;&gt;1</title>\n",
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-       "<text text-anchor=\"start\" x=\"167.5\" y=\"-90.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
-       "<text text-anchor=\"start\" x=\"163\" y=\"-75.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
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+       "<text text-anchor=\"start\" x=\"94.5\" y=\"-21.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
+       "<text text-anchor=\"start\" x=\"90\" y=\"-6.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#1f78b4\">⓿</text>\n",
        "</g>\n",
        "</g>\n",
-       "</svg>\n"
+       "</svg>\n",
+       "</div>"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fefe0279fc0> >"
+       "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 12,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
     }
    ],
    "source": [
-    "spot.remove_alternation(a, True)"
+    "nba2, nba3, nba4, nba5 = [spot.scc_filter(spot.remove_alternation(a, True), True) for a in (aut2, aut3, aut4, aut5)]\n",
+    "display_inline(nba2, nba3, nba4, nba5)"
    ]
   }
  ],