From f5f5daec9ab661d14fdf547681e0d501aeecfc7e Mon Sep 17 00:00:00 2001
From: Alexandre Duret-Lutz <adl@lrde.epita.fr>
Date: Thu, 28 Jun 2018 23:02:26 +0200
Subject: [PATCH] translate: enable a restricted form of ltl-split for TGBA/BA

Fixes #267

* spot/twaalgos/gfguarantee.cc: Fix a typo when comparing automata
sizes.
* spot/twaalgos/translate.cc, spot/twaalgos/translate.hh: Use
ltl-split even for BA/TGBA, but only of conjunctions with GF(..)
in those cases.
* tests/core/ltl2tgba2.test: Adjust and add the example of #267.
* tests/core/degenid.test, tests/core/parity2.test,
tests/core/stutter-tgba.test, tests/python/automata.ipynb,
tests/python/highlighting.ipynb, tests/python/stutter-inv.ipynb,
bin/spot-x.cc: Adjust.
---
 bin/spot-x.cc                   |    3 +-
 spot/twaalgos/gfguarantee.cc    |    2 +-
 spot/twaalgos/translate.cc      |  163 +++--
 spot/twaalgos/translate.hh      |    1 +
 tests/core/degenid.test         |    8 +-
 tests/core/ltl2tgba2.test       |    6 +-
 tests/core/parity2.test         |  432 +++++--------
 tests/core/stutter-tgba.test    |    4 +-
 tests/python/automata.ipynb     | 1035 +++++++++++++++----------------
 tests/python/highlighting.ipynb | 1030 +++++++++++++++---------------
 tests/python/stutter-inv.ipynb  |  148 ++---
 11 files changed, 1338 insertions(+), 1494 deletions(-)

diff --git a/bin/spot-x.cc b/bin/spot-x.cc
index 6d9a446dc..7225d751c 100644
--- a/bin/spot-x.cc
+++ b/bin/spot-x.cc
@@ -46,8 +46,7 @@ more rules based on automata-based implication checks.  The default value \
 depends on the --low/--medium/--high settings.") },
     { nullptr, 0, nullptr, 0, "Translation options:", 0 },
     { DOC("ltl-split", "Set to 0 to disable the translation of automata \
-as product or sum of subformulas.  This is currently used only when \
-building automata with generic acceptance conditions.") },
+as product or sum of subformulas.") },
     { DOC("comp-susp", "Set to 1 to enable compositional suspension, \
 as described in our SPIN'13 paper (see Bibliography below).  Set to 2, \
 to build only the skeleton TGBA without composing it.  Set to 0 (the \
diff --git a/spot/twaalgos/gfguarantee.cc b/spot/twaalgos/gfguarantee.cc
index 0c37cbf44..9d6ab7d98 100644
--- a/spot/twaalgos/gfguarantee.cc
+++ b/spot/twaalgos/gfguarantee.cc
@@ -418,7 +418,7 @@ namespace spot
         if (!is_terminal_automaton(aut, &si2, true))
           return reduced;
         do_g_f_terminal_inplace(si2, state_based);
-        if (aut->num_states() <= reduced->num_states())
+        if (aut->num_states() < reduced->num_states())
           return aut;
       }
     return reduced;
diff --git a/spot/twaalgos/translate.cc b/spot/twaalgos/translate.cc
index 0e054c912..6899adbf8 100644
--- a/spot/twaalgos/translate.cc
+++ b/spot/twaalgos/translate.cc
@@ -105,7 +105,8 @@ namespace spot
     simpl_owned_ = simpl_ = new tl_simplifier(options, dict);
   }
 
-  twa_graph_ptr translator::run(formula* f)
+
+  twa_graph_ptr translator::run_aux(formula r)
   {
 #define PREF_ (pref_ & (Small | Deterministic))
 
@@ -118,49 +119,6 @@ namespace spot
         set_pref(pref_ | postprocessor::Deterministic);
       }
 
-    // Do we want to relabel Boolean subformulas?
-    // If we have a huge formula such as
-    //  (a1 & a2 & ... & an) U (b1 | b2 | ... | bm)
-    // then it is more efficient to translate
-    //  a U b
-    // and then fix the automaton.  We use relabel_bse() to find
-    // sub-formulas that are Boolean but do not have common terms.
-    //
-    // This rewriting is enabled only if the formula
-    //  1) has some Boolean subformula
-    //  2) has more than relabel_bool_ atomic propositions (the default
-    //     is 4, but this can be changed)
-    //  3) relabel_bse() actually reduces the number of atomic
-    //     propositions.
-    relabeling_map m;
-    formula to_work_on = *f;
-    if (relabel_bool_ > 0)
-      {
-        bool has_boolean_sub = false; // that is not atomic
-        std::set<formula> aps;
-        to_work_on.traverse([&](const formula& f)
-                            {
-                              if (f.is(op::ap))
-                                aps.insert(f);
-                              else if (f.is_boolean())
-                                has_boolean_sub = true;
-                              return false;
-                            });
-        unsigned atomic_props = aps.size();
-        if (has_boolean_sub && (atomic_props >= (unsigned) relabel_bool_))
-          {
-            formula relabeled = relabel_bse(to_work_on, Pnn, &m);
-            if (m.size() < atomic_props)
-              to_work_on = relabeled;
-            else
-              m.clear();
-          }
-      }
-
-    formula r = simpl_->simplify(to_work_on);
-    if (to_work_on == *f)
-      *f = r;
-
     // This helps ltl_to_tgba_fm() to order BDD variables in a more
     // natural way (improving the degeneralization).
     simpl_->clear_as_bdd_cache();
@@ -168,8 +126,7 @@ namespace spot
     twa_graph_ptr aut;
     twa_graph_ptr aut2 = nullptr;
 
-    if (ltl_split_ && (type_ == Generic
-                       || (type_ & Parity)) && !r.is_syntactic_obligation())
+    if (ltl_split_ && !r.is_syntactic_obligation())
       {
         formula r2 = r;
         unsigned leading_x = 0;
@@ -178,11 +135,11 @@ namespace spot
             r2 = r2[0];
             ++leading_x;
           }
-        if (type_ == Generic)
+        if (type_ == Generic || type_ == TGBA)
           {
-            // F(q|u|f) = q|F(u)|F(f)
+            // F(q|u|f) = q|F(u)|F(f)  only for generic acceptance
             // G(q&e&f) = q&G(e)&G(f)
-            bool want_u = r2.is({op::F, op::Or});
+            bool want_u = r2.is({op::F, op::Or}) && (type_ == Generic);
             if (want_u || r2.is({op::G, op::And}))
               {
                 std::vector<formula> susp;
@@ -204,7 +161,12 @@ namespace spot
                 r2 = formula::multop(op2, susp);
               }
           }
-        if (r2.is_syntactic_obligation() || !r2.is(op::And, op::Or))
+        if (r2.is_syntactic_obligation() || !r2.is(op::And, op::Or) ||
+            // For TGBA/BA we only do conjunction.  There is nothing wrong
+            // with disjunction, but it seems to generated larger automata
+            // in many cases and it needs to be further investigated.  Maybe
+            // this could be relaxed in the case of deterministic output.
+            (r2.is(op::Or) && (type_ == TGBA || type_ == BA)))
           goto nosplit;
 
         bool is_and = r2.is(op::And);
@@ -212,16 +174,38 @@ namespace spot
         std::vector<formula> oblg;
         std::vector<formula> susp;
         std::vector<formula> rest;
+        bool want_g = type_ == TGBA || type_ == BA;
         for (formula child: r2)
           {
             if (child.is_syntactic_obligation())
               oblg.push_back(child);
             else if (child.is_eventual() && child.is_universal()
-                     && (type_ == Generic))
+                     && (!want_g || child.is(op::G)))
               susp.push_back(child);
             else
               rest.push_back(child);
           }
+
+        if (!susp.empty())
+          {
+            // The only cases where we accept susp and rest to be both
+            // non-empty is when doing arbitrary acceptance, or when doing
+            // Generic or TGBA.
+            if (!rest.empty() && !(type_ == Generic || type_ == TGBA))
+              {
+                rest.insert(rest.end(), susp.begin(), susp.end());
+                susp.clear();
+              }
+            // For Parity, we want to translate all suspendable
+            // formulas at once.
+            if (rest.empty() && type_ & Parity)
+              susp = { formula::multop(r2.kind(), susp) };
+          }
+        // For TGBA and BA, we only split if there is something to
+        // suspend.
+        if (susp.empty() && (type_ == TGBA || type_ == BA))
+          goto nosplit;
+
         option_map om;
         if (opt_)
           om = *opt_;
@@ -238,34 +222,26 @@ namespace spot
               return run(f);
           };
 
+        // std::cerr << "splitting\n";
         aut = nullptr;
         // All obligations can be converted into a minimal WDBA.
         if (!oblg.empty())
           {
             formula oblg_f = formula::multop(r2.kind(), oblg);
+            //std::cerr << "oblg: " << oblg_f << '\n';
             aut = transrun(oblg_f);
           }
         if (!rest.empty())
           {
             formula rest_f = formula::multop(r2.kind(), rest);
-            // In case type_ is Parity, all suspendable formulas have
-            // been put into rest_f.  But if the entire rest_f is
-            // suspendable, we want to handle it like so.
-            if (rest_f.is_eventual() && rest_f.is_universal())
-              {
-                assert(susp.empty());
-                susp.push_back(rest_f);
-              }
+            //std::cerr << "rest: " << rest_f << '\n';
+            twa_graph_ptr rest_aut = transrun(rest_f);
+            if (aut == nullptr)
+              aut = rest_aut;
+            else if (is_and)
+              aut = product(aut, rest_aut);
             else
-              {
-                twa_graph_ptr rest_aut = transrun(rest_f);
-                if (aut == nullptr)
-                  aut = rest_aut;
-                else if (is_and)
-                  aut = product(aut, rest_aut);
-                else
-                  aut = product_or(aut, rest_aut);
-              }
+              aut = product_or(aut, rest_aut);
           }
         if (!susp.empty())
           {
@@ -273,6 +249,7 @@ namespace spot
             // Each suspendable formula separately
             for (formula f: susp)
               {
+                //std::cerr << "susp: " << f << '\n';
                 twa_graph_ptr one = transrun(f);
                 if (!susp_aut)
                   susp_aut = one;
@@ -370,6 +347,56 @@ namespace spot
           aut = std::move(aut2);
       }
 
+    return aut;
+  }
+
+  twa_graph_ptr translator::run(formula* f)
+  {
+    // Do we want to relabel Boolean subformulas?
+    // If we have a huge formula such as
+    //  (a1 & a2 & ... & an) U (b1 | b2 | ... | bm)
+    // then it is more efficient to translate
+    //  a U b
+    // and then fix the automaton.  We use relabel_bse() to find
+    // sub-formulas that are Boolean but do not have common terms.
+    //
+    // This rewriting is enabled only if the formula
+    //  1) has some Boolean subformula
+    //  2) has more than relabel_bool_ atomic propositions (the default
+    //     is 4, but this can be changed)
+    //  3) relabel_bse() actually reduces the number of atomic
+    //     propositions.
+    relabeling_map m;
+    formula to_work_on = *f;
+    if (relabel_bool_ > 0)
+      {
+        bool has_boolean_sub = false; // that is not atomic
+        std::set<formula> aps;
+        to_work_on.traverse([&](const formula& f)
+                            {
+                              if (f.is(op::ap))
+                                aps.insert(f);
+                              else if (f.is_boolean())
+                                has_boolean_sub = true;
+                              return false;
+                            });
+        unsigned atomic_props = aps.size();
+        if (has_boolean_sub && (atomic_props >= (unsigned) relabel_bool_))
+          {
+            formula relabeled = relabel_bse(to_work_on, Pnn, &m);
+            if (m.size() < atomic_props)
+              to_work_on = relabeled;
+            else
+              m.clear();
+          }
+      }
+
+    formula r = simpl_->simplify(to_work_on);
+    if (to_work_on == *f)
+      *f = r;
+
+    auto aut = run_aux(r);
+
     if (!m.empty())
       relabel_here(aut, &m);
     return aut;
diff --git a/spot/twaalgos/translate.hh b/spot/twaalgos/translate.hh
index 0f0ff18be..7e4aadf9a 100644
--- a/spot/twaalgos/translate.hh
+++ b/spot/twaalgos/translate.hh
@@ -138,6 +138,7 @@ namespace spot
   protected:
     void setup_opt(const option_map* opt);
     void build_simplifier(const bdd_dict_ptr& dict);
+    twa_graph_ptr run_aux(formula f);
 
   private:
     tl_simplifier* simpl_;
diff --git a/tests/core/degenid.test b/tests/core/degenid.test
index 8e69a35c8..b13162685 100755
--- a/tests/core/degenid.test
+++ b/tests/core/degenid.test
@@ -1,7 +1,7 @@
 #!/bin/sh
 # -*- coding: utf-8 -*-
-# Copyright (C) 2011, 2013, 2014, 2015, 2017 Laboratoire de Recherche
-# et Développement de l'Epita (LRDE).
+# Copyright (C) 2011, 2013, 2014, 2015, 2017, 2018 Laboratoire de
+# Recherche et Développement de l'Epita (LRDE).
 #
 # This file is part of Spot, a model checking library.
 #
@@ -239,7 +239,9 @@ properties: trans-labels explicit-labels state-acc deterministic
 properties: stutter-invariant
 --BODY--
 State: 0
-[0] 1
+[0&1&2] 1
+[0&!2] 2
+[0&!1&2] 3
 State: 1 {0}
 [1&2] 1
 [!2] 2
diff --git a/tests/core/ltl2tgba2.test b/tests/core/ltl2tgba2.test
index d2b8e87fe..b48c1b448 100755
--- a/tests/core/ltl2tgba2.test
+++ b/tests/core/ltl2tgba2.test
@@ -362,12 +362,14 @@ EOF
 diff output expected
 
 
-# These four formulas appear in a NEWS entry for Spot 2.6
+# The first four formulas appear in a NEWS entry for Spot 2.6
+# The 5th one is from issue #267.
 cat >formulas <<EOF
 GF((a & XXa) | (!a & XX!a)), 4,8, 4,8, 6,14, 7,14
 GF((a & XXXa) | (!a & XXX!a)), 7,14, 8,16, 8,18, 15,30
-GF(((a & Xb) | XXc) & Xd), 4,60, 4,64, 4,68, 5,80
+GF(((a & Xb) | XXc) & Xd), 4,64, 4,64, 5,80, 5,80
 GF((b | Fa) & (b R Xb)), 2,4, 2,4, 3,6, 3,12
+G(F(a & Xa) & F(a & X!a)), 2,4, 2,4, 4,8, 4,8
 EOF
 
 ltl2tgba -Fformulas/1 --stats='%f, %s,%t' |
diff --git a/tests/core/parity2.test b/tests/core/parity2.test
index f9ba01c77..b18236c0f 100755
--- a/tests/core/parity2.test
+++ b/tests/core/parity2.test
@@ -426,7 +426,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Buchi
@@ -435,23 +435,21 @@ properties: trans-labels explicit-labels trans-acc
 --BODY--
 State: 0
 [0] 0
-[t] 2
-[0&1&2] 3
+[!0] 1
+[0&1&2] 2
 State: 1
-[2] 4
-State: 2
+[t] 3
 [1&2] 4
-[t] 5
+State: 2
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {0}
 State: 3
-[2] 1
-[0&!1&2] 3
-[0&1&2] 3 {0}
+[0] 3
+[0&1&2] 4
 State: 4
 [0&!1&2] 4
 [0&1&2] 4 {0}
-State: 5
-[0&1&2] 4
-[0] 5
 --END--
 HOA: v1
 name: "FGa"
@@ -489,7 +487,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Rabin 1
@@ -498,23 +496,21 @@ properties: trans-labels explicit-labels trans-acc
 --BODY--
 State: 0
 [0] 0
-[t] 2
-[0&1&2] 3
+[!0] 1
+[0&1&2] 2
 State: 1
-[2] 4
-State: 2
+[t] 3
 [1&2] 4
-[t] 5
+State: 2
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {1}
 State: 3
-[2] 1
-[0&!1&2] 3
-[0&1&2] 3 {1}
+[0] 3
+[0&1&2] 4
 State: 4
 [0&!1&2] 4
 [0&1&2] 4 {1}
-State: 5
-[0&1&2] 4
-[0] 5
 --END--
 HOA: v1
 name: "FGa"
@@ -552,7 +548,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Buchi
@@ -561,23 +557,21 @@ properties: trans-labels explicit-labels trans-acc
 --BODY--
 State: 0
 [0] 0
-[t] 2
-[0&1&2] 3
+[!0] 1
+[0&1&2] 2
 State: 1
-[2] 4
-State: 2
+[t] 3
 [1&2] 4
-[t] 5
+State: 2
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {0}
 State: 3
-[2] 1
-[0&!1&2] 3
-[0&1&2] 3 {0}
+[0] 3
+[0&1&2] 4
 State: 4
 [0&!1&2] 4
 [0&1&2] 4 {0}
-State: 5
-[0&1&2] 4
-[0] 5
 --END--
 HOA: v1
 name: "FGa"
@@ -615,7 +609,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Streett 1
@@ -624,23 +618,21 @@ properties: trans-labels explicit-labels trans-acc colored
 --BODY--
 State: 0
 [0] 0 {0}
-[t] 2 {0}
-[0&1&2] 3 {0}
+[!0] 1 {0}
+[0&1&2] 2 {0}
 State: 1
-[2] 4 {0}
-State: 2
+[t] 3 {0}
 [1&2] 4 {0}
-[t] 5 {0}
+State: 2
+[!0] 1 {0}
+[0&!1&2] 2 {0}
+[0&1&2] 2 {1}
 State: 3
-[2] 1 {0}
-[0&!1&2] 3 {0}
-[0&1&2] 3 {1}
+[0] 3 {0}
+[0&1&2] 4 {0}
 State: 4
 [0&!1&2] 4 {0}
 [0&1&2] 4 {1}
-State: 5
-[0&1&2] 4 {0}
-[0] 5 {0}
 --END--
 HOA: v1
 name: "FGa"
@@ -678,7 +670,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity min odd 3
@@ -687,23 +679,21 @@ properties: trans-labels explicit-labels trans-acc colored
 --BODY--
 State: 0
 [0] 0 {2}
-[t] 2 {2}
-[0&1&2] 3 {2}
+[!0] 1 {2}
+[0&1&2] 2 {2}
 State: 1
-[2] 4 {2}
-State: 2
+[t] 3 {2}
 [1&2] 4 {2}
-[t] 5 {2}
+State: 2
+[!0] 1 {2}
+[0&!1&2] 2 {2}
+[0&1&2] 2 {1}
 State: 3
-[2] 1 {2}
-[0&!1&2] 3 {2}
-[0&1&2] 3 {1}
+[0] 3 {2}
+[0&1&2] 4 {2}
 State: 4
 [0&!1&2] 4 {2}
 [0&1&2] 4 {1}
-State: 5
-[0&1&2] 4 {2}
-[0] 5 {2}
 --END--
 HOA: v1
 name: "FGa"
@@ -741,7 +731,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 6
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity max even 3
@@ -750,23 +740,21 @@ properties: trans-labels explicit-labels trans-acc colored
 --BODY--
 State: 0
 [0] 0 {1}
-[t] 2 {1}
-[0&1&2] 3 {1}
+[!0] 1 {1}
+[0&1&2] 2 {1}
 State: 1
-[2] 4 {1}
-State: 2
+[t] 3 {1}
 [1&2] 4 {1}
-[t] 5 {1}
+State: 2
+[!0] 1 {1}
+[0&!1&2] 2 {1}
+[0&1&2] 2 {2}
 State: 3
-[2] 1 {1}
-[0&!1&2] 3 {1}
-[0&1&2] 3 {2}
+[0] 3 {1}
+[0&1&2] 4 {1}
 State: 4
 [0&!1&2] 4 {1}
 [0&1&2] 4 {2}
-State: 5
-[0&1&2] 4 {1}
-[0] 5 {1}
 --END--
 EOF
 diff expected2 res2
@@ -1182,7 +1170,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Rabin 1
@@ -1190,46 +1178,24 @@ Acceptance: 2 Fin(0) & Inf(1)
 properties: trans-labels explicit-labels trans-acc deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0
 [!0] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
+[0&1&2] 2
 State: 1
-[!1 | !2] 4
-[1&2] 5
+[!1 | !2] 3
+[1&2] 4
 State: 2
-[!0&!1 | !0&!2] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
-[!0&1&2] 6
+[0&!2] 0 {0}
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {1}
 State: 3
-[!0&!2] 1
-[0&!2] 2 {0}
-[!0&!1&2] 7
-[!0&1&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {1}
+[0&!1 | 0&!2] 3
+[0&1&2] 4
 State: 4
-[0&!1 | 0&!2] 4
-[0&1&2] 5
-State: 5
-[0&!2] 4 {0}
-[0&!1&2] 5
-[0&1&2] 5 {1}
-State: 6
-[!0&!1 | !2] 4
-[0&2 | 1&2] 5
-State: 7
-[!2] 4
-[2] 5
-State: 8
-[!2] 4
-[2] 5
-State: 9
-[!0&!2] 1
-[0&!2] 2 {0}
-[!0&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {1}
+[0&!2] 3 {0}
+[0&!1&2] 4
+[0&1&2] 4 {1}
 --END--
 HOA: v1
 name: "FGa"
@@ -1268,7 +1234,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: Rabin 1
@@ -1276,46 +1242,24 @@ Acceptance: 2 Fin(0) & Inf(1)
 properties: trans-labels explicit-labels trans-acc deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0
 [!0] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
+[0&1&2] 2
 State: 1
-[!1 | !2] 4
-[1&2] 5
+[!1 | !2] 3
+[1&2] 4
 State: 2
-[!0&!1 | !0&!2] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
-[!0&1&2] 6
+[0&!2] 0 {0}
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {1}
 State: 3
-[!0&!2] 1
-[0&!2] 2 {0}
-[!0&!1&2] 7
-[!0&1&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {1}
+[0&!1 | 0&!2] 3
+[0&1&2] 4
 State: 4
-[0&!1 | 0&!2] 4
-[0&1&2] 5
-State: 5
-[0&!2] 4 {0}
-[0&!1&2] 5
-[0&1&2] 5 {1}
-State: 6
-[!0&!1 | !2] 4
-[0&2 | 1&2] 5
-State: 7
-[!2] 4
-[2] 5
-State: 8
-[!2] 4
-[2] 5
-State: 9
-[!0&!2] 1
-[0&!2] 2 {0}
-[!0&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {1}
+[0&!2] 3 {0}
+[0&!1&2] 4
+[0&1&2] 4 {1}
 --END--
 HOA: v1
 name: "FGa"
@@ -1354,7 +1298,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity max even 2
@@ -1362,46 +1306,24 @@ Acceptance: 2 Fin(1) & Inf(0)
 properties: trans-labels explicit-labels trans-acc deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0
 [!0] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
+[0&1&2] 2
 State: 1
-[!1 | !2] 4
-[1&2] 5
+[!1 | !2] 3
+[1&2] 4
 State: 2
-[!0&!1 | !0&!2] 1
-[0&!1 | 0&!2] 2
-[0&1&2] 3
-[!0&1&2] 6
+[0&!2] 0 {1}
+[!0] 1
+[0&!1&2] 2
+[0&1&2] 2 {0}
 State: 3
-[!0&!2] 1
-[0&!2] 2 {1}
-[!0&!1&2] 7
-[!0&1&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {0}
+[0&!1 | 0&!2] 3
+[0&1&2] 4
 State: 4
-[0&!1 | 0&!2] 4
-[0&1&2] 5
-State: 5
-[0&!2] 4 {1}
-[0&!1&2] 5
-[0&1&2] 5 {0}
-State: 6
-[!0&!1 | !2] 4
-[0&2 | 1&2] 5
-State: 7
-[!2] 4
-[2] 5
-State: 8
-[!2] 4
-[2] 5
-State: 9
-[!0&!2] 1
-[0&!2] 2 {1}
-[!0&2] 8
-[0&!1&2] 9
-[0&1&2] 9 {0}
+[0&!2] 3 {1}
+[0&!1&2] 4
+[0&1&2] 4 {0}
 --END--
 HOA: v1
 name: "FGa"
@@ -1440,7 +1362,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity min odd 3
@@ -1449,46 +1371,24 @@ properties: trans-labels explicit-labels trans-acc colored
 properties: deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0 {2}
 [!0] 1 {2}
-[0&!1 | 0&!2] 2 {2}
-[0&1&2] 3 {2}
+[0&1&2] 2 {2}
 State: 1
-[!1 | !2] 4 {2}
-[1&2] 5 {2}
+[!1 | !2] 3 {2}
+[1&2] 4 {2}
 State: 2
-[!0&!1 | !0&!2] 1 {2}
-[0&!1 | 0&!2] 2 {2}
-[0&1&2] 3 {2}
-[!0&1&2] 6 {2}
+[0&!2] 0 {0}
+[!0] 1 {2}
+[0&!1&2] 2 {2}
+[0&1&2] 2 {1}
 State: 3
-[!0&!2] 1 {2}
-[0&!2] 2 {0}
-[!0&!1&2] 7 {2}
-[!0&1&2] 8 {2}
-[0&!1&2] 9 {2}
-[0&1&2] 9 {1}
+[0&!1 | 0&!2] 3 {2}
+[0&1&2] 4 {2}
 State: 4
-[0&!1 | 0&!2] 4 {2}
-[0&1&2] 5 {2}
-State: 5
-[0&!2] 4 {0}
-[0&!1&2] 5 {2}
-[0&1&2] 5 {1}
-State: 6
-[!0&!1 | !2] 4 {2}
-[0&2 | 1&2] 5 {2}
-State: 7
-[!2] 4 {2}
-[2] 5 {2}
-State: 8
-[!2] 4 {2}
-[2] 5 {2}
-State: 9
-[!0&!2] 1 {2}
-[0&!2] 2 {0}
-[!0&2] 8 {2}
-[0&!1&2] 9 {2}
-[0&1&2] 9 {1}
+[0&!2] 3 {0}
+[0&!1&2] 4 {2}
+[0&1&2] 4 {1}
 --END--
 HOA: v1
 name: "FGa"
@@ -1527,7 +1427,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity min odd 3
@@ -1536,46 +1436,24 @@ properties: trans-labels explicit-labels trans-acc colored
 properties: deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0 {2}
 [!0] 1 {2}
-[0&!1 | 0&!2] 2 {2}
-[0&1&2] 3 {2}
+[0&1&2] 2 {2}
 State: 1
-[!1 | !2] 4 {2}
-[1&2] 5 {2}
+[!1 | !2] 3 {2}
+[1&2] 4 {2}
 State: 2
-[!0&!1 | !0&!2] 1 {2}
-[0&!1 | 0&!2] 2 {2}
-[0&1&2] 3 {2}
-[!0&1&2] 6 {2}
+[0&!2] 0 {0}
+[!0] 1 {2}
+[0&!1&2] 2 {2}
+[0&1&2] 2 {1}
 State: 3
-[!0&!2] 1 {2}
-[0&!2] 2 {0}
-[!0&!1&2] 7 {2}
-[!0&1&2] 8 {2}
-[0&!1&2] 9 {2}
-[0&1&2] 9 {1}
+[0&!1 | 0&!2] 3 {2}
+[0&1&2] 4 {2}
 State: 4
-[0&!1 | 0&!2] 4 {2}
-[0&1&2] 5 {2}
-State: 5
-[0&!2] 4 {0}
-[0&!1&2] 5 {2}
-[0&1&2] 5 {1}
-State: 6
-[!0&!1 | !2] 4 {2}
-[0&2 | 1&2] 5 {2}
-State: 7
-[!2] 4 {2}
-[2] 5 {2}
-State: 8
-[!2] 4 {2}
-[2] 5 {2}
-State: 9
-[!0&!2] 1 {2}
-[0&!2] 2 {0}
-[!0&2] 8 {2}
-[0&!1&2] 9 {2}
-[0&1&2] 9 {1}
+[0&!2] 3 {0}
+[0&!1&2] 4 {2}
+[0&1&2] 4 {1}
 --END--
 HOA: v1
 name: "FGa"
@@ -1614,7 +1492,7 @@ State: 1
 --END--
 HOA: v1
 name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
-States: 10
+States: 5
 Start: 0
 AP: 3 "p0" "p1" "p2"
 acc-name: parity max even 4
@@ -1623,46 +1501,24 @@ properties: trans-labels explicit-labels trans-acc colored
 properties: deterministic
 --BODY--
 State: 0
+[0&!1 | 0&!2] 0 {1}
 [!0] 1 {1}
-[0&!1 | 0&!2] 2 {1}
-[0&1&2] 3 {1}
+[0&1&2] 2 {1}
 State: 1
-[!1 | !2] 4 {1}
-[1&2] 5 {1}
+[!1 | !2] 3 {1}
+[1&2] 4 {1}
 State: 2
-[!0&!1 | !0&!2] 1 {1}
-[0&!1 | 0&!2] 2 {1}
-[0&1&2] 3 {1}
-[!0&1&2] 6 {1}
+[0&!2] 0 {3}
+[!0] 1 {1}
+[0&!1&2] 2 {1}
+[0&1&2] 2 {2}
 State: 3
-[!0&!2] 1 {1}
-[0&!2] 2 {3}
-[!0&!1&2] 7 {1}
-[!0&1&2] 8 {1}
-[0&!1&2] 9 {1}
-[0&1&2] 9 {2}
+[0&!1 | 0&!2] 3 {1}
+[0&1&2] 4 {1}
 State: 4
-[0&!1 | 0&!2] 4 {1}
-[0&1&2] 5 {1}
-State: 5
-[0&!2] 4 {3}
-[0&!1&2] 5 {1}
-[0&1&2] 5 {2}
-State: 6
-[!0&!1 | !2] 4 {1}
-[0&2 | 1&2] 5 {1}
-State: 7
-[!2] 4 {1}
-[2] 5 {1}
-State: 8
-[!2] 4 {1}
-[2] 5 {1}
-State: 9
-[!0&!2] 1 {1}
-[0&!2] 2 {3}
-[!0&2] 8 {1}
-[0&!1&2] 9 {1}
-[0&1&2] 9 {2}
+[0&!2] 3 {3}
+[0&!1&2] 4 {1}
+[0&1&2] 4 {2}
 --END--
 EOF
 diff expected4 res4
diff --git a/tests/core/stutter-tgba.test b/tests/core/stutter-tgba.test
index 05a81e51a..2d81b7778 100755
--- a/tests/core/stutter-tgba.test
+++ b/tests/core/stutter-tgba.test
@@ -26,13 +26,13 @@ ltl2tgba '!FG(a | Xa | G!a)' -H | autfilt -H --destut > pos.hoa
 ltl2tgba 'FG(a | Xa | G!a)' -H | autfilt -H --destut > neg.hoa
 autfilt pos.hoa --product neg.hoa -H > prod.hoa
 autfilt --is-empty prod.hoa -q && exit 1
-autfilt --states=7 prod.hoa -q
+autfilt --states=5 prod.hoa -q
 
 ltl2tgba '!FG(a | Xa | G!a)' -H | autfilt -H --instut > pos.hoa
 ltl2tgba 'FG(a | Xa | G!a)' -H | autfilt -H --instut > neg.hoa
 autfilt pos.hoa --product neg.hoa -H > prod.hoa
 autfilt --is-empty prod.hoa -q && exit 1
-autfilt --states=9 prod.hoa -q
+autfilt --states=6 prod.hoa -q
 
 
 # Check for issue #7.
diff --git a/tests/python/automata.ipynb b/tests/python/automata.ipynb
index b91991215..3128236d4 100644
--- a/tests/python/automata.ipynb
+++ b/tests/python/automata.ipynb
@@ -33,138 +33,152 @@
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        "</g>\n",
        "<!-- I&#45;&gt;0 -->\n",
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        "<!-- 0&#45;&gt;0 -->\n",
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-       "<text text-anchor=\"start\" x=\"37.5\" y=\"-102.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a &amp; !b</text>\n",
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        "<title>1</title>\n",
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@@ -601,7 +643,7 @@
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       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc0e9db0> >"
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       ],
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-       "<g class=\"edge\" id=\"edge4\">\n",
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@@ -1743,7 +1785,7 @@
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@@ -2240,7 +2282,7 @@
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@@ -2426,7 +2468,7 @@
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@@ -2502,7 +2544,7 @@
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@@ -2574,7 +2616,7 @@
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"190.5\" y=\"-221.8\">)</text>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"103.5\" y=\"-207.8\">[gen. Büchi 2]</text>\n",
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        "<title>0</title>\n",
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        "<title>I-&gt;0</title>\n",
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+       "</g>\n",
+       "<!-- 0&#45;&gt;0 -->\n",
+       "<g class=\"edge\" id=\"edge2\">\n",
+       "<title>0-&gt;0</title>\n",
+       "<path d=\"M49.6208,-35.0373C48.3189,-44.8579 50.4453,-54 56,-54 60.166,-54 62.4036,-48.8576 62.7128,-42.1433\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"37.5\" y=\"-72.8\">a &amp; !b</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"48\" y=\"-57.8\">⓿</text>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"275\" y=\"-118.7783\">1</text>\n",
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        "<!-- 0&#45;&gt;1 -->\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"147\" y=\"-133.2783\">!a &amp; b</text>\n",
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-       "<title>3</title>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"203.5\" y=\"-8.2783\">a &amp; b</text>\n",
+       "<title>0-&gt;2</title>\n",
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+       "<title>1-&gt;2</title>\n",
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+       "<title>2-&gt;1</title>\n",
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-       "<title>2-&gt;2</title>\n",
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-       "<title>2-&gt;3</title>\n",
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-       "<polygon fill=\"#000000\" points=\"375.0175,-73.5652 367.7898,-70.9798 372.496,-71.1378 369.9744,-68.7105 369.9744,-68.7105 369.9744,-68.7105 372.496,-71.1378 372.1591,-66.4411 375.0175,-73.5652 375.0175,-73.5652\" stroke=\"#000000\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"258\" y=\"-56.2783\">a &amp; b</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"267\" y=\"-41.2783\">⓿</text>\n",
+       "<title>2-&gt;2</title>\n",
+       "<path d=\"M270.0012,-105.4099C269.0681,-115.0879 270.7344,-124 275,-124 278.1326,-124 279.8633,-119.1936 280.1921,-112.8073\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"279.9988,-105.4099 283.3307,-112.3252 280.0903,-108.9087 280.1818,-112.4075 280.1818,-112.4075 280.1818,-112.4075 280.0903,-108.9087 277.0329,-112.4899 279.9988,-105.4099 279.9988,-105.4099\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"255\" y=\"-142.8\">!a &amp; !c</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"267\" y=\"-127.8\">⓿</text>\n",
        "</g>\n",
-       "<!-- 3&#45;&gt;1 -->\n",
+       "<!-- 2&#45;&gt;2 -->\n",
        "<g class=\"edge\" id=\"edge12\">\n",
-       "<title>3-&gt;1</title>\n",
-       "<path d=\"M369.6229,-92.9087C350.7682,-98.8008 320.5243,-108.252 299.3164,-114.8795\" fill=\"none\" stroke=\"#000000\"/>\n",
-       "<polygon fill=\"#000000\" points=\"292.5,-117.0096 298.2418,-111.915 295.8407,-115.9656 299.1814,-114.9216 299.1814,-114.9216 299.1814,-114.9216 295.8407,-115.9656 300.121,-117.9282 292.5,-117.0096 292.5,-117.0096\" stroke=\"#000000\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-114.2783\">!a &amp; !c</text>\n",
-       "</g>\n",
-       "<!-- 3&#45;&gt;1 -->\n",
-       "<g class=\"edge\" id=\"edge13\">\n",
-       "<title>3-&gt;1</title>\n",
-       "<path d=\"M372.8693,-75.8011C366.5789,-71.3346 358.8309,-66.7663 351,-64.4783 333.9357,-59.4925 326.5358,-55.8361 311,-64.4783 297.9795,-71.7213 289.0654,-85.8382 283.3646,-98.3307\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"313\" y=\"-83.2783\">!a &amp; c</text>\n",
-       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"323\" y=\"-68.2783\">❶</text>\n",
-       "</g>\n",
-       "<!-- 3&#45;&gt;3 -->\n",
-       "<g class=\"edge\" id=\"edge14\">\n",
-       "<title>3-&gt;3</title>\n",
-       "<path d=\"M382.0012,-104.8882C381.0681,-114.5662 382.7344,-123.4783 387,-123.4783 390.1326,-123.4783 391.8633,-118.6719 392.1921,-112.2856\" fill=\"none\" stroke=\"#000000\"/>\n",
-       "<polygon fill=\"#000000\" points=\"391.9988,-104.8882 395.3307,-111.8035 392.0903,-108.387 392.1818,-111.8858 392.1818,-111.8858 392.1818,-111.8858 392.0903,-108.387 389.0329,-111.9682 391.9988,-104.8882 391.9988,-104.8882\" stroke=\"#000000\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"369\" y=\"-142.2783\">a &amp; !c</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"379\" y=\"-127.2783\">⓿</text>\n",
-       "</g>\n",
-       "<!-- 3&#45;&gt;3 -->\n",
-       "<g class=\"edge\" id=\"edge15\">\n",
-       "<title>3-&gt;3</title>\n",
-       "<path d=\"M379.4634,-104.0742C373.769,-125.3416 376.2813,-153.4783 387,-153.4783 396.5883,-153.4783 399.6098,-130.9637 396.0645,-110.9915\" fill=\"none\" stroke=\"#000000\"/>\n",
-       "<polygon fill=\"#000000\" points=\"394.5366,-104.0742 399.1223,-110.23 395.2915,-107.4918 396.0464,-110.9094 396.0464,-110.9094 396.0464,-110.9094 395.2915,-107.4918 392.9706,-111.5889 394.5366,-104.0742 394.5366,-104.0742\" stroke=\"#000000\"/>\n",
-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-171.2783\">a &amp; c</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"371\" y=\"-157.2783\">⓿</text>\n",
-       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"387\" y=\"-157.2783\">❶</text>\n",
+       "<title>2-&gt;2</title>\n",
+       "<path d=\"M267.4634,-104.5959C261.769,-125.8633 264.2813,-154 275,-154 284.5883,-154 287.6098,-131.4854 284.0645,-111.5132\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"282.5366,-104.5959 287.1223,-110.7517 283.2915,-108.0135 284.0464,-111.4311 284.0464,-111.4311 284.0464,-111.4311 283.2915,-108.0135 280.9706,-112.1106 282.5366,-104.5959 282.5366,-104.5959\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"257\" y=\"-171.8\">!a &amp; c</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"259\" y=\"-157.8\">⓿</text>\n",
+       "<text fill=\"#ff4da0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"275\" y=\"-157.8\">❶</text>\n",
        "</g>\n",
        "</g>\n",
        "</svg></div>"
@@ -3079,7 +3062,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096c00> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05ed9c0> >"
       ]
      },
      "metadata": {},
@@ -3179,7 +3162,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096390> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05ed9f0> >"
       ]
      },
      "execution_count": 24,
@@ -3252,7 +3235,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc0e9ba0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05eda20> >"
       ]
      },
      "execution_count": 25,
@@ -3416,7 +3399,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096f00> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05edb40> >"
       ]
      },
      "execution_count": 27,
@@ -3499,7 +3482,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096c00> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05ed9c0> >"
       ]
      },
      "metadata": {},
@@ -3564,7 +3547,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096c00> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05ed9c0> >"
       ]
      },
      "metadata": {},
@@ -3651,7 +3634,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7fa7cc096c00> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7effe05ed9c0> >"
       ]
      },
      "execution_count": 29,
@@ -3684,7 +3667,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.5+"
+   "version": "3.6.6"
   }
  },
  "nbformat": 4,
diff --git a/tests/python/highlighting.ipynb b/tests/python/highlighting.ipynb
index c1f693507..1bccb69c5 100644
--- a/tests/python/highlighting.ipynb
+++ b/tests/python/highlighting.ipynb
@@ -240,7 +240,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a240ef0f0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b72ef90> >"
       ]
      },
      "execution_count": 4,
@@ -352,7 +352,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f6a1d7ce8a0> >"
+       "<spot.twa; proxy of <Swig Object of type 'std::shared_ptr< spot::twa > *' at 0x7f7d6b654870> >"
       ]
      },
      "execution_count": 5,
@@ -462,7 +462,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a240ef0f0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b72ef90> >"
       ]
      },
      "execution_count": 6,
@@ -576,117 +576,117 @@
        "<text text-anchor=\"start\" x=\"206\" y=\"-253.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)</text>\n",
        "<text text-anchor=\"start\" x=\"166\" y=\"-239.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[Büchi]</text>\n",
        "<!-- I -->\n",
-       "<!-- 0 -->\n",
+       "<!-- 4 -->\n",
        "<g id=\"node2\" class=\"node\">\n",
-       "<title>0</title>\n",
+       "<title>4</title>\n",
        "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"56\" cy=\"-105\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"56\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">0</text>\n",
+       "<text text-anchor=\"middle\" x=\"56\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">4</text>\n",
        "</g>\n",
-       "<!-- I&#45;&gt;0 -->\n",
+       "<!-- I&#45;&gt;4 -->\n",
        "<g id=\"edge1\" class=\"edge\">\n",
-       "<title>I&#45;&gt;0</title>\n",
+       "<title>I&#45;&gt;4</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M1.1233,-105C4.178,-105 17.9448,-105 30.9241,-105\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"37.9807,-105 30.9808,-108.1501 34.4807,-105 30.9807,-105.0001 30.9807,-105.0001 30.9807,-105.0001 34.4807,-105 30.9807,-101.8501 37.9807,-105 37.9807,-105\"/>\n",
        "</g>\n",
-       "<!-- 1 -->\n",
+       "<!-- 0 -->\n",
        "<g id=\"node3\" class=\"node\">\n",
-       "<title>1</title>\n",
+       "<title>0</title>\n",
        "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"137\" cy=\"-105\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"137\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
+       "<text text-anchor=\"middle\" x=\"137\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">0</text>\n",
        "</g>\n",
-       "<!-- 0&#45;&gt;1 -->\n",
-       "<g id=\"edge2\" class=\"edge\">\n",
-       "<title>0&#45;&gt;1</title>\n",
+       "<!-- 4&#45;&gt;0 -->\n",
+       "<g id=\"edge12\" class=\"edge\">\n",
+       "<title>4&#45;&gt;0</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M74.3802,-105C85.4352,-105 99.6622,-105 111.7609,-105\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"118.9716,-105 111.9716,-108.1501 115.4716,-105 111.9716,-105.0001 111.9716,-105.0001 111.9716,-105.0001 115.4716,-105 111.9716,-101.8501 118.9716,-105 118.9716,-105\"/>\n",
        "<text text-anchor=\"middle\" x=\"96.5\" y=\"-108.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
        "</g>\n",
-       "<!-- 1&#45;&gt;1 -->\n",
-       "<g id=\"edge3\" class=\"edge\">\n",
-       "<title>1&#45;&gt;1</title>\n",
+       "<!-- 0&#45;&gt;0 -->\n",
+       "<g id=\"edge2\" class=\"edge\">\n",
+       "<title>0&#45;&gt;0</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M129.9688,-121.6641C128.4063,-131.625 130.75,-141 137,-141 141.6875,-141 144.1777,-135.7266 144.4707,-128.8876\"/>\n",
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        "<text text-anchor=\"start\" x=\"123.5\" y=\"-144.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a | b</text>\n",
        "</g>\n",
-       "<!-- 2 -->\n",
+       "<!-- 1 -->\n",
        "<g id=\"node4\" class=\"node\">\n",
-       "<title>2</title>\n",
+       "<title>1</title>\n",
        "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"360\" cy=\"-129\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"360\" y=\"-125.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">2</text>\n",
+       "<text text-anchor=\"middle\" x=\"360\" y=\"-125.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
        "</g>\n",
-       "<!-- 1&#45;&gt;2 -->\n",
-       "<g id=\"edge4\" class=\"edge\">\n",
-       "<title>1&#45;&gt;2</title>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g id=\"edge3\" class=\"edge\">\n",
+       "<title>0&#45;&gt;1</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M144.8384,-121.309C157.9792,-146.5059 187.0932,-193.9758 228,-213 273.4887,-234.1551 322.045,-181.0667 345.5673,-149.848\"/>\n",
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        "<text text-anchor=\"start\" x=\"228\" y=\"-220.8\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a &amp; !b</text>\n",
        "</g>\n",
-       "<!-- 3 -->\n",
+       "<!-- 2 -->\n",
        "<g id=\"node5\" class=\"node\">\n",
-       "<title>3</title>\n",
+       "<title>2</title>\n",
        "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"248.5\" cy=\"-105\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"248.5\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">3</text>\n",
+       "<text text-anchor=\"middle\" x=\"248.5\" y=\"-101.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">2</text>\n",
        "</g>\n",
-       "<!-- 1&#45;&gt;3 -->\n",
-       "<g id=\"edge5\" class=\"edge\">\n",
-       "<title>1&#45;&gt;3</title>\n",
+       "<!-- 0&#45;&gt;2 -->\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
+       "<title>0&#45;&gt;2</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M155.412,-105C173.9217,-105 202.5942,-105 223.2267,-105\"/>\n",
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        "</g>\n",
-       "<!-- 4 -->\n",
+       "<!-- 3 -->\n",
        "<g id=\"node6\" class=\"node\">\n",
-       "<title>4</title>\n",
+       "<title>3</title>\n",
        "<ellipse fill=\"#ffffaa\" stroke=\"#000000\" cx=\"248.5\" cy=\"-18\" rx=\"18\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"248.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">4</text>\n",
+       "<text text-anchor=\"middle\" x=\"248.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">3</text>\n",
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-       "<!-- 1&#45;&gt;4 -->\n",
-       "<g id=\"edge6\" class=\"edge\">\n",
-       "<title>1&#45;&gt;4</title>\n",
+       "<!-- 0&#45;&gt;3 -->\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
+       "<title>0&#45;&gt;3</title>\n",
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-       "<!-- 2&#45;&gt;2 -->\n",
-       "<g id=\"edge7\" class=\"edge\">\n",
-       "<title>2&#45;&gt;2</title>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g id=\"edge6\" class=\"edge\">\n",
+       "<title>1&#45;&gt;1</title>\n",
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-       "<!-- 2&#45;&gt;2 -->\n",
-       "<g id=\"edge8\" class=\"edge\">\n",
-       "<title>2&#45;&gt;2</title>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
+       "<g id=\"edge7\" class=\"edge\">\n",
+       "<title>1&#45;&gt;1</title>\n",
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-       "<g id=\"edge9\" class=\"edge\">\n",
-       "<title>3&#45;&gt;3</title>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
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-       "<!-- 3&#45;&gt;3 -->\n",
-       "<g id=\"edge10\" class=\"edge\">\n",
-       "<title>3&#45;&gt;3</title>\n",
+       "<!-- 2&#45;&gt;2 -->\n",
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-       "<!-- 4&#45;&gt;2 -->\n",
-       "<g id=\"edge11\" class=\"edge\">\n",
-       "<title>4&#45;&gt;2</title>\n",
+       "<!-- 3&#45;&gt;1 -->\n",
+       "<g id=\"edge10\" class=\"edge\">\n",
+       "<title>3&#45;&gt;1</title>\n",
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-       "<!-- 4&#45;&gt;4 -->\n",
-       "<g id=\"edge12\" class=\"edge\">\n",
-       "<title>4&#45;&gt;4</title>\n",
+       "<!-- 3&#45;&gt;3 -->\n",
+       "<g id=\"edge11\" class=\"edge\">\n",
+       "<title>3&#45;&gt;3</title>\n",
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@@ -695,7 +695,7 @@
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       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce8d0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b6542a0> >"
       ]
      },
      "execution_count": 8,
@@ -716,12 +716,12 @@
      "data": {
       "text/plain": [
        "Prefix:\n",
-       "  0\n",
+       "  4\n",
        "  |  1\n",
-       "  1\n",
+       "  0\n",
        "  |  !a & !b\n",
        "Cycle:\n",
-       "  2\n",
+       "  1\n",
        "  |  !b\t{0}"
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@@ -773,117 +773,117 @@
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-       "<!-- 0 -->\n",
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-       "<title>0</title>\n",
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-       "<!-- I&#45;&gt;0 -->\n",
+       "<!-- I&#45;&gt;4 -->\n",
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-       "<title>I&#45;&gt;0</title>\n",
+       "<title>I&#45;&gt;4</title>\n",
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-       "<!-- 1 -->\n",
+       "<!-- 0 -->\n",
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-       "<title>0&#45;&gt;1</title>\n",
+       "<!-- 4&#45;&gt;0 -->\n",
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+       "<title>4&#45;&gt;0</title>\n",
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-       "<!-- 1&#45;&gt;1 -->\n",
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-       "<title>1&#45;&gt;1</title>\n",
+       "<!-- 0&#45;&gt;0 -->\n",
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-       "<!-- 2 -->\n",
+       "<!-- 1 -->\n",
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-       "<title>2</title>\n",
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-       "<!-- 1&#45;&gt;2 -->\n",
-       "<g id=\"edge4\" class=\"edge\">\n",
-       "<title>1&#45;&gt;2</title>\n",
+       "<!-- 0&#45;&gt;1 -->\n",
+       "<g id=\"edge3\" class=\"edge\">\n",
+       "<title>0&#45;&gt;1</title>\n",
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-       "<!-- 3 -->\n",
+       "<!-- 2 -->\n",
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-       "<title>3</title>\n",
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-       "<!-- 1&#45;&gt;3 -->\n",
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-       "<title>1&#45;&gt;3</title>\n",
+       "<!-- 0&#45;&gt;2 -->\n",
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-       "<!-- 4 -->\n",
+       "<!-- 3 -->\n",
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-       "<title>4</title>\n",
+       "<title>3</title>\n",
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-       "<text text-anchor=\"middle\" x=\"248.5\" y=\"-14.3\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">4</text>\n",
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-       "<!-- 1&#45;&gt;4 -->\n",
-       "<g id=\"edge6\" class=\"edge\">\n",
-       "<title>1&#45;&gt;4</title>\n",
+       "<!-- 0&#45;&gt;3 -->\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
+       "<title>0&#45;&gt;3</title>\n",
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-       "<!-- 2&#45;&gt;2 -->\n",
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-       "<title>2&#45;&gt;2</title>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
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+       "<title>1&#45;&gt;1</title>\n",
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-       "<title>2&#45;&gt;2</title>\n",
+       "<!-- 1&#45;&gt;1 -->\n",
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-       "<title>3&#45;&gt;3</title>\n",
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+       "<!-- 2&#45;&gt;2 -->\n",
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+       "<title>2&#45;&gt;2</title>\n",
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-       "<title>4&#45;&gt;2</title>\n",
+       "<!-- 3&#45;&gt;1 -->\n",
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+       "<title>3&#45;&gt;1</title>\n",
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-       "<title>4&#45;&gt;4</title>\n",
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@@ -892,7 +892,7 @@
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       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce8d0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b6542a0> >"
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      "execution_count": 11,
@@ -977,7 +977,7 @@
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       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce060> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654ab0> >"
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@@ -1032,7 +1032,7 @@
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       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a240e6f60> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654960> >"
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@@ -1126,7 +1126,7 @@
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce9f0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654990> >"
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@@ -1257,7 +1257,7 @@
        "</svg>\n"
       ],
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce9f0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654990> >"
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@@ -1322,7 +1322,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ce060> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654ab0> >"
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@@ -1377,7 +1377,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a240e6f60> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654960> >"
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@@ -1609,7 +1609,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f6a1d7bdae0> >"
+       "<spot.impl.twa_product; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_product > *' at 0x7f7d6b654930> >"
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@@ -1694,7 +1694,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7bd4b0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654ba0> >"
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@@ -1791,7 +1791,7 @@
        "</svg>\n"
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-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6a1d7ceb40> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f7d6b654a80> >"
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@@ -1959,7 +1959,7 @@
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      "execution_count": 18,
@@ -1999,135 +1999,135 @@
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@@ -2436,7 +2431,7 @@
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@@ -2448,7 +2443,7 @@
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"137\" y=\"-14.3\">1</text>\n",
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@@ -2509,24 +2504,24 @@
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"431.5\" y=\"-445.8\">[Büchi]</text>\n",
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        "<g class=\"cluster\" id=\"clust2\">\n",
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-       "<polygon fill=\"none\" points=\"168.5,-294 168.5,-394 220.5,-394 220.5,-294 168.5,-294\" stroke=\"#00ff00\"/>\n",
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        "<title>cluster_3</title>\n",
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        "<g class=\"node\" id=\"node3\">\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"344\" y=\"-367.3\">1</text>\n",
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        "<title>0-&gt;1</title>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"176\" y=\"-407.8\">a &amp; !b</text>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"194.5\" y=\"-316.3\">2</text>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"194.5\" y=\"-138.3\">4</text>\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=\"395\" y=\"-109.8\">!a &amp; !b</text>\n",
        "</g>\n",
        "<!-- 4&#45;&gt;4 -->\n",
        "<g class=\"edge\" id=\"edge13\">\n",
        "<title>4-&gt;4</title>\n",
-       "<path d=\"M183.5873,-156.4167C179.7765,-167.166 183.4141,-178 194.5,-178 203.1609,-178 207.2757,-171.3875 206.8443,-163.3688\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"161.5\" y=\"-181.8\">!a &amp; b &amp; !c</text>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"159.5\" y=\"-189.8\">!a &amp; b &amp; c</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"182.5\" y=\"-174.8\">⓿</text>\n",
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        "<title>4-&gt;5</title>\n",
-       "<path d=\"M212.7076,-141.4751C260.7301,-140.0907 390.9341,-136.337 446.4098,-134.7377\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"313\" y=\"-141.8\">!a &amp; b &amp; c</text>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-159.8\">!a &amp; b &amp; !c</text>\n",
+       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"336\" y=\"-144.8\">⓿</text>\n",
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        "<title>5-&gt;6</title>\n",
-       "<path d=\"M486.6714,-144.6952C493.0532,-149.1042 500.7232,-154.0858 508,-158 537.4417,-173.8366 626.6308,-209.7338 669.4995,-226.7372\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"567\" y=\"-205.8\">a &amp; !c</text>\n",
+       "<path d=\"M488.6673,-153.8359C527.0087,-169.5612 621.5487,-208.3356 665.6477,-226.4223\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"672.2759,-229.1408 664.6041,-229.3989 669.0377,-227.8127 665.7994,-226.4845 665.7994,-226.4845 665.7994,-226.4845 669.0377,-227.8127 666.9948,-223.5701 672.2759,-229.1408 672.2759,-229.1408\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"569\" y=\"-206.8\">a &amp; c</text>\n",
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        "<!-- 5&#45;&gt;7 -->\n",
        "<g class=\"edge\" id=\"edge21\">\n",
        "<title>5-&gt;7</title>\n",
-       "<path d=\"M490.099,-135.7515C554.8067,-142.0136 774.8091,-163.3041 849.7547,-170.5569\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"677\" y=\"-160.8\">a &amp; c</text>\n",
+       "<path d=\"M490.099,-148.7515C554.8067,-155.0136 774.8091,-176.3041 849.7547,-183.5569\" fill=\"none\" stroke=\"#000000\"/>\n",
+       "<polygon fill=\"#000000\" points=\"856.9509,-184.2533 849.68,-186.7143 853.4672,-183.9161 849.9834,-183.579 849.9834,-183.579 849.9834,-183.579 853.4672,-183.9161 850.2869,-180.4436 856.9509,-184.2533 856.9509,-184.2533\" stroke=\"#000000\"/>\n",
+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"671\" y=\"-172.8\">a &amp; !c</text>\n",
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        "<!-- 5&#45;&gt;3 -->\n",
        "<g class=\"edge\" id=\"edge17\">\n",
        "<title>5-&gt;3</title>\n",
-       "<path d=\"M487.7728,-124.7133C493.9403,-121.3401 501.1635,-117.6984 508,-115 524.9465,-108.311 544.7975,-102.9534 560.099,-99.3241\" fill=\"none\" stroke=\"#000000\"/>\n",
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        "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"508\" y=\"-118.8\">!a &amp; !b</text>\n",
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        "<title>5-&gt;4</title>\n",
-       "<path d=\"M454.6985,-139.2604C435.8147,-144.7055 404.5849,-152.8477 377,-156 320.7026,-162.4335 254.2876,-153.112 219.1642,-146.8623\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311\" y=\"-176.8\">!a &amp; b &amp; !c</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"336\" y=\"-161.8\">⓿</text>\n",
+       "<path d=\"M454.7373,-152.737C435.8867,-158.6757 404.6852,-167.557 377,-171 347.8909,-174.6201 340.0248,-175.243 311,-171 276.3928,-165.9409 237.9146,-153.1176 213.96,-144.2276\" fill=\"none\" stroke=\"#000000\"/>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"313\" y=\"-176.8\">!a &amp; b &amp; c</text>\n",
        "</g>\n",
        "<!-- 5&#45;&gt;5 -->\n",
        "<g class=\"edge\" id=\"edge19\">\n",
        "<title>5-&gt;5</title>\n",
-       "<path d=\"M462.4254,-149.5414C459.7303,-159.9087 462.9219,-170 472,-170 478.9504,-170 482.4503,-164.0847 482.4995,-156.6591\" fill=\"none\" stroke=\"#000000\"/>\n",
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-       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"441\" y=\"-188.8\">!a &amp; b &amp; c</text>\n",
-       "<text fill=\"#1f78b4\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"464\" y=\"-173.8\">⓿</text>\n",
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+       "<text fill=\"#000000\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"439\" y=\"-186.8\">!a &amp; b &amp; !c</text>\n",
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        "</svg>"
@@ -2816,13 +2811,6 @@
     "spot.highlight_languages(aut)\n",
     "aut.show('.bas')"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
@@ -2841,7 +2829,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.5+"
+   "version": "3.6.6"
   }
  },
  "nbformat": 4,
diff --git a/tests/python/stutter-inv.ipynb b/tests/python/stutter-inv.ipynb
index 9d4c8b999..5c9e12e84 100644
--- a/tests/python/stutter-inv.ipynb
+++ b/tests/python/stutter-inv.ipynb
@@ -302,7 +302,7 @@
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       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a00c1660> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f68605f5630> >"
       ]
      },
      "metadata": {},
@@ -595,7 +595,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a00c1b40> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f68605f5ae0> >"
       ]
      },
      "metadata": {},
@@ -804,7 +804,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a00c1b40> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f68605f5ae0> >"
       ]
      },
      "metadata": {},
@@ -890,18 +890,18 @@
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-       "<svg width=\"170pt\" height=\"178pt\"\n",
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-       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 173.5945)\">\n",
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+       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 140.5945)\">\n",
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-       "<text text-anchor=\"start\" x=\"37\" y=\"-127.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[gen. Büchi 2]</text>\n",
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+       "<text text-anchor=\"start\" x=\"72\" y=\"-108.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)&amp;Inf(</text>\n",
+       "<text text-anchor=\"start\" x=\"108\" y=\"-108.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
+       "<text text-anchor=\"start\" x=\"124\" y=\"-108.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">)</text>\n",
+       "<text text-anchor=\"start\" x=\"37\" y=\"-94.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">[gen. Büchi 2]</text>\n",
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-       "<title>0&#45;&gt;0</title>\n",
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-       "<text text-anchor=\"start\" x=\"52.5\" y=\"-90.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
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@@ -937,33 +930,33 @@
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+       "<g id=\"edge3\" class=\"edge\">\n",
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+       "<text text-anchor=\"start\" x=\"94.5\" y=\"-39.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#000000\">!a</text>\n",
+       "<text text-anchor=\"start\" x=\"92\" y=\"-24.3945\" font-family=\"Lato\" font-size=\"14.00\" fill=\"#ff4da0\">❶</text>\n",
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-       "<g id=\"edge5\" class=\"edge\">\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
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       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a01140c0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f686063ef30> >"
       ]
      },
      "metadata": {},
@@ -1538,7 +1524,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a00c1ae0> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6860602930> >"
       ]
      },
      "metadata": {},
@@ -1798,7 +1784,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a005d870> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6860591c30> >"
       ]
      },
      "metadata": {},
@@ -2112,7 +2098,7 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f31a005d870> >"
+       "<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f6860591c30> >"
       ]
      },
      "metadata": {},
@@ -2353,7 +2339,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.6.5+"
+   "version": "3.6.6"
   }
  },
  "nbformat": 4,