diff --git a/ChangeLog b/ChangeLog
index 7a709f625..55fda08ff 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,9 @@
+2008-08-07  Alexandre Duret-Lutz  <adl@lrde.epita.fr>
+
+	* iface/gspn/ltlgspn.cc: New option: -e54.
+	* iface/gspn/ssp.hh, iface/gspn/ssp.cc: Add the
+	reversed_double_inclusion boolean for this.
+
 2008-06-12  Damien Lefortier  <dam@lrde.epita.fr>
 
 	Add ELTL visitors in eltlvisit/ and start the ELTL translation (LACIM).
diff --git a/iface/gspn/ltlgspn.cc b/iface/gspn/ltlgspn.cc
index 646bfcf62..f8ff4cd1c 100644
--- a/iface/gspn/ltlgspn.cc
+++ b/iface/gspn/ltlgspn.cc
@@ -73,7 +73,9 @@ syntax(char* prog)
 	    << "  -e4 use semi-d. incl. Couvreur's emptiness-check's "
 	    << "shy variant"
 	    << std::endl
-	    << "  -e45 mix of -e4 and -e5 " << std::endl
+	    << "  -e45 mix of -e4 and -e5 (semi.d. incl. before d.incl.)"
+	    << std::endl
+	    << "  -e54 mix of -e5 and -e4 (the other way around)" << std::endl
 	    << "  -e5 use d. incl. Couvreur's emptiness-check's shy variant"
 	    << std::endl
 	    << "  -e6 like -e5, but without inclusion checks in the "
@@ -116,6 +118,7 @@ main(int argc, char **argv)
       bool stack_inclusion = true;
       bool pushfront = false;
       bool double_inclusion = false;
+      bool reversed_double_inclusion = false;
       bool no_decomp = false;
 #endif
       std::string dead = "true";
@@ -172,6 +175,12 @@ main(int argc, char **argv)
 	      check = Couvreur5;
 	      double_inclusion = true;
 	    }
+	  else if (!strcmp(argv[formula_index], "-e54"))
+	    {
+	      check = Couvreur5;
+	      double_inclusion = true;
+	      reversed_double_inclusion = true;
+	    }
 	  else if (!strcmp(argv[formula_index], "-e5"))
 	    {
 	      check = Couvreur5;
@@ -295,6 +304,7 @@ main(int argc, char **argv)
 	      case Couvreur5:
 		ec = spot::couvreur99_check_ssp_shy(prod, stack_inclusion,
 						    double_inclusion,
+						    reversed_double_inclusion,
 						    no_decomp);
 		break;
 #endif
diff --git a/iface/gspn/ssp.cc b/iface/gspn/ssp.cc
index 850c9b941..bed28110d 100644
--- a/iface/gspn/ssp.cc
+++ b/iface/gspn/ssp.cc
@@ -994,7 +994,9 @@ namespace spot
   {
   public:
     couvreur99_check_shy_ssp(const tgba* a, bool stack_inclusion,
-			     bool double_inclusion, bool no_decomp)
+			     bool double_inclusion,
+			     bool reversed_double_inclusion,
+			     bool no_decomp)
       : couvreur99_check_shy(a,
 			     option_map(),
 			     numbered_state_heap_ssp_factory_semi::instance()),
@@ -1002,6 +1004,7 @@ namespace spot
 	inclusion_count_stack(0),
 	stack_inclusion(stack_inclusion),
 	double_inclusion(double_inclusion),
+	reversed_double_inclusion(reversed_double_inclusion),
 	no_decomp(no_decomp)
     {
       onepass_ = true;
@@ -1022,6 +1025,7 @@ namespace spot
     unsigned inclusion_count_stack;
     bool stack_inclusion;
     bool double_inclusion;
+    bool reversed_double_inclusion;
     bool no_decomp;
 
   protected:
@@ -1110,6 +1114,7 @@ namespace spot
 			{
 			  if (stack_inclusion
 			      && double_inclusion
+			      && !reversed_double_inclusion
 			      && spot_inclusion(new_state->left(),
 						old_state->left()))
 			    break;
@@ -1181,6 +1186,12 @@ namespace spot
 
 			      break;
 			    }
+			  if (stack_inclusion
+			      && double_inclusion
+			      && reversed_double_inclusion
+			      && spot_inclusion(new_state->left(),
+						old_state->left()))
+			    break;
 			}
 		    }
 		}
@@ -1296,11 +1307,15 @@ namespace spot
 
   couvreur99_check*
   couvreur99_check_ssp_shy(const tgba* ssp_automata, bool stack_inclusion,
-			   bool double_inclusion, bool no_decomp)
+			   bool double_inclusion,
+			   bool reversed_double_inclusion,
+			   bool no_decomp)
   {
     assert(dynamic_cast<const tgba_gspn_ssp*>(ssp_automata));
     return new couvreur99_check_shy_ssp(ssp_automata, stack_inclusion,
-					double_inclusion, no_decomp);
+					double_inclusion,
+					reversed_double_inclusion,
+					no_decomp);
   }
 
 #if 0
diff --git a/iface/gspn/ssp.hh b/iface/gspn/ssp.hh
index cbc06ede4..c0e5a5914 100644
--- a/iface/gspn/ssp.hh
+++ b/iface/gspn/ssp.hh
@@ -1,4 +1,4 @@
-// Copyright (C) 2003, 2004, 2006, 2007 Laboratoire d'Informatique de
+// Copyright (C) 2003, 2004, 2006, 2007, 2008 Laboratoire d'Informatique de
 // Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
 // Université Pierre et Marie Curie.
 //
@@ -58,6 +58,8 @@ namespace spot
   couvreur99_check* couvreur99_check_ssp_shy(const tgba* ssp_automata,
 					     bool stack_inclusion = true,
 					     bool double_inclusion = false,
+					     bool reversed_double_inclusion
+					     = false,
 					     bool no_decomp = false);
 
   /// @}