diff --git a/src/bin/man/spot-x.x b/src/bin/man/spot-x.x
index e459f2d1b..2b9453aa1 100644
--- a/src/bin/man/spot-x.x
+++ b/src/bin/man/spot-x.x
@@ -6,6 +6,23 @@ spot-x \- Common fine-tuning options.
 .B \-x STRING
 [DESCRIPTION]
 .\" Add any additional description here
+[BIBLIOGRAPHY]
+.TP
+1.
+Christian Dax, Jochen Eisinger, Felix Klaedtke: Mechanizing the
+Powerset Construction for Restricted Classes of
+ω-Automata. Proceedings of ATVA'07.  LNCS 4762.
+
+Describes the WDBA-minimization algorithm implemented in Spot.
+.TP
+2.
+Tomáš Babiak, Thomas Badie, Alexandre Duret-Lutz, Mojmír Křetínský,
+Jan Strejček: Compositional Approach to Suspension and Other
+Improvements to LTL Translation.  Proceedings of SPIN'13.  LNCS XXXX.
+
+Describes the compositional suspension, the simulation-based
+reductions, and the SCC-based simplifications.
+
 [SEE ALSO]
 .BR ltl2tgba (1)
 .BR ltl2tgta (1)
diff --git a/src/bin/spot-x.cc b/src/bin/spot-x.cc
index c667b1075..a412ac69e 100644
--- a/src/bin/spot-x.cc
+++ b/src/bin/spot-x.cc
@@ -37,6 +37,24 @@ value) is a shorthand for KEY=1, while !KEY is a shorthand for KEY=0.";
 
 static const argp_option options[] =
   {
+    { 0, 0, 0, 0, "Translation options:", 0 },
+    { 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 \
+default) to disable.") },
+    { DOC("early-susp", "When set to 1, start compositional suspension on \
+the transitions that enter accepting SCCs, and not only on the transitions \
+inside accepting SCCs.  This option defaults to 0, and is only used when \
+comp-susp=1.") },
+    { DOC("skel-simul", "Default to 1.  Set to 0 to disable simulation \
+on the skeleton automaton during compositional suspension. Only used when \
+comp-susp=1.") },
+    { DOC("skel-wdba", "Set to 0 to disable WDBA \
+minimization on the skeleton automaton during compositional suspension. \
+Set to 1 always WDBA-minimize the skeleton .  Set to 2 to keep the WDBA \
+only if it is smaller than the original skeleton.  This option is only \
+used when comp-susp=1 and default to 1 or 2 depending on whether --small \
+or --deterministic is specified.") },
     { 0, 0, 0, 0, "Postprocessing options:", 0 },
     { DOC("scc-filter", "Set to 1 (the default) to enable \
 SCC-pruning and acceptance simplification at the beginning of \
diff --git a/src/tgbaalgos/translate.cc b/src/tgbaalgos/translate.cc
index eb6b9ba0f..c36ee5a75 100644
--- a/src/tgbaalgos/translate.cc
+++ b/src/tgbaalgos/translate.cc
@@ -19,10 +19,28 @@
 
 #include "translate.hh"
 #include "ltl2tgba_fm.hh"
+#include "compsusp.hh"
+#include "misc/optionmap.hh"
 
 namespace spot
 {
 
+  void translator::setup_opt(const option_map* opt)
+  {
+    comp_susp_ = early_susp_ = skel_wdba_ = skel_simul_ = 0;
+
+    if (!opt)
+      return;
+
+    comp_susp_ = opt->get("comp-susp", 0);
+    if (comp_susp_ == 1)
+      {
+	early_susp_ = opt->get("early-susp", 0);
+	skel_wdba_ = opt->get("skel-wdba", -1);
+	skel_simul_ = opt->get("skel-simul", 1);
+      }
+  }
+
   void translator::build_simplifier(bdd_dict* dict)
   {
     ltl::ltl_simplifier_options options(false, false, false);
@@ -53,8 +71,22 @@ namespace spot
     // natural way (improving the degeneralization).
     simpl_->clear_as_bdd_cache();
 
-    bool exprop = level_ == spot::postprocessor::High;
-    const tgba* aut = ltl_to_tgba_fm(r, simpl_->get_dict(), exprop);
+    const tgba* aut;
+    if (comp_susp_ > 0)
+      {
+	int skel_wdba = skel_wdba_;
+	if (skel_wdba < 0)
+	  skel_wdba = (pref_ == spot::postprocessor::Deterministic) ? 1 : 2;
+
+	aut = compsusp(r, simpl_->get_dict(), skel_wdba == 0,
+		       skel_simul_ == 0, early_susp_ != 0,
+		       comp_susp_ == 2, skel_wdba == 2, false);
+      }
+    else
+      {
+	bool exprop = level_ == spot::postprocessor::High;
+	aut = ltl_to_tgba_fm(r, simpl_->get_dict(), exprop);
+      }
     aut = this->postprocessor::run(aut, r);
     return aut;
   }
diff --git a/src/tgbaalgos/translate.hh b/src/tgbaalgos/translate.hh
index c9abdf9ff..b06fc96ec 100644
--- a/src/tgbaalgos/translate.hh
+++ b/src/tgbaalgos/translate.hh
@@ -52,18 +52,21 @@ namespace spot
       : postprocessor(opt), simpl_(simpl), simpl_owned_(0)
     {
       assert(simpl);
+      setup_opt(opt);
     }
 
     translator(bdd_dict* dict, const option_map* opt = 0)
       : postprocessor(opt)
     {
       build_simplifier(dict);
+      setup_opt(opt);
     }
 
     translator(const option_map* opt = 0)
       : postprocessor(opt)
     {
       build_simplifier(0);
+      setup_opt(opt);
     }
 
     ~translator()
@@ -72,8 +75,6 @@ namespace spot
       delete simpl_owned_;
     }
 
-    void build_simplifier(bdd_dict* dict);
-
     typedef postprocessor::output_type output_type;
 
     void
@@ -111,10 +112,17 @@ namespace spot
     /// the caller.
     const tgba* run(const ltl::formula** f);
 
+  protected:
+    void setup_opt(const option_map* opt);
+    void build_simplifier(bdd_dict* dict);
 
   private:
     ltl::ltl_simplifier* simpl_;
     ltl::ltl_simplifier* simpl_owned_;
+    int comp_susp_;
+    int early_susp_;
+    int skel_wdba_;
+    int skel_simul_;
   };
   /// @}
 }
diff --git a/src/tgbatest/ltlcross2.test b/src/tgbatest/ltlcross2.test
index 60b64b593..36c014179 100755
--- a/src/tgbatest/ltlcross2.test
+++ b/src/tgbatest/ltlcross2.test
@@ -24,13 +24,17 @@ ltl2tgba=../../bin/ltl2tgba
 
 ../../bin/randltl -P -n 100 p1 p2 p3 p4 p5 p6 --tree-size 5..15 |
 ../../bin/ltlcross \
-  "$ltl2tgba --lbtt --any --low %f > %T" \
-  "$ltl2tgba --lbtt --any --medium %f > %T" \
-  "$ltl2tgba --lbtt --any --high %f > %T" \
-  "$ltl2tgba --lbtt --deterministic --low %f > %T" \
-  "$ltl2tgba --lbtt --deterministic --medium %f > %T" \
-  "$ltl2tgba --lbtt --deterministic --high %f > %T" \
-  "$ltl2tgba --lbtt --small --low %f > %T" \
-  "$ltl2tgba --lbtt --small --medium %f > %T" \
-  "$ltl2tgba --lbtt --small --high %f > %T" \
-  --json=output.json --csv=output.csv
+"$ltl2tgba --lbtt --any --low %f > %T" \
+"$ltl2tgba --lbtt --any --medium %f > %T" \
+"$ltl2tgba --lbtt --any --high %f > %T" \
+"$ltl2tgba --lbtt --deterministic --low %f > %T" \
+"$ltl2tgba --lbtt --deterministic --medium %f > %T" \
+"$ltl2tgba --lbtt --deterministic --high %f > %T" \
+"$ltl2tgba --lbtt --small --low %f > %T" \
+"$ltl2tgba --lbtt --small --medium %f > %T" \
+"$ltl2tgba --lbtt --small --high %f > %T" \
+"$ltl2tgba --lbtt -x comp-susp --small %f >%T" \
+"$ltl2tgba --lbtt -x comp-susp,!skel-wdba --lbtt --small %f >%T" \
+"$ltl2tgba --lbtt -x comp-susp,early-susp --lbtt --small %f >%T" \
+"$ltl2tgba --lbtt -x comp-susp,!skel-wdba,!skel-simul --lbtt --small %f >%T" \
+--json=output.json --csv=output.csv