diff --git a/doc/org/ltlcross.org b/doc/org/ltlcross.org
index b33d706b3..eae60005a 100644
--- a/doc/org/ltlcross.org
+++ b/doc/org/ltlcross.org
@@ -145,10 +145,8 @@ tools:
     --output-format=hoa %L %O~' deterministic Streett output in HOA,
     as supported since version 0.5.2 of =ltl2dstar=.
   - '=ltl2dstar --ltl2nba=spin:path/to/ltl2tgba@-sD %L %D=' (Rabin
-    output in DSTAR format, as supported in older version of
-    =ltl2dstar=.  Note that when reading this format, =ltl2dstar=
-    automatically converts the Rabin automaton into a Büchi automaton
-    for historical reason.)
+    output in DSTAR format, as supported in older versions of
+    =ltl2dstar=.
   - '=ltl2dstar --ltl2nba=spin:path/to/ltl2tgba@-sD %L - | dstar2tgba
     -s >%O=' (external conversion from Rabin to Büchi done by
     =dstar2tgba= for more reduction of the Büchi automaton than what
@@ -420,20 +418,6 @@ All the values that follow will be missing if =exit_status= is not
 equal to "=ok=".  (You may instruct =ltlcross= not to output lines with
 such missing data with the option =--omit-missing=.)
 
-The columns =in_type=, =in_states=, =in_edges=, =in_transitions=,
-=in_acc=, and =in_scc= are only output if one of the translator
-produces Rabin or Streett automata in =ltl2dstar='s format (i.e., if
-=%D= is used to specify one output filename for any translator).  In
-that case these columns give the type (DRA or DSA) of the produced
-automaton, as well as its size (states, edges, transitions, number of
-acceptance pairs, and number of SCCs).  This input automaton is then
-converted by =ltlcross= into a TGBA before being checked the result of
-other translators, and all the following columns are measures of that
-converted automaton.  This conversion to TGBA is historical.  When the
-automata are produced in the HOA format (i.e., not in =ltl2dstar='s
-format) then no conversion occur, and =ltlcross= works directly with
-the given acceptance condition.
-
 =states=, =edges=, =transitions=, =acc= are size measures for the
 automaton that was translated.  =acc= counts the number of acceptance
 sets.  When building (degeneralized) Büchi automata, it will always be
@@ -647,9 +631,9 @@ positive and negative formulas by the ith translator).
     coverage.  Using '=ltl2tgba -lD %f >%O=' will produce
     deterministic automata for all obligation properties and many
     recurrence properties.  Using '=ltl2dstar
-    --ltl2nba=spin:pathto/ltl2tgba@-sD %L %D=' is more expansive, but
-    it will produce a deterministic Büchi automaton whenever one
-    exists.
+    --ltl2nba=spin:pathto/ltl2tgba@-Ds %L %D=' will systematically
+    produce a deterministic Rabin automaton (that =ltlcross= can
+    complement easily).
 
   - Cross-comparison checks: for some state-space $S$,
     all $P_i\otimes S$ are either all empty, or all non-empty.
diff --git a/src/bin/dstar2tgba.cc b/src/bin/dstar2tgba.cc
index b36aadef5..a3e6361d5 100644
--- a/src/bin/dstar2tgba.cc
+++ b/src/bin/dstar2tgba.cc
@@ -266,7 +266,7 @@ namespace
     /// The \a f argument is not needed if the Formula does not need
     /// to be output.
     std::ostream&
-    print(const spot::const_dstar_aut_ptr& daut,
+    print(const spot::const_parsed_aut_ptr& daut,
 	  const spot::const_twa_graph_ptr& aut,
 	  const char* filename, double run_time)
     {
@@ -347,9 +347,9 @@ namespace
     int
     process_file(const char* filename)
     {
-      spot::dstar_parse_error_list pel;
+      spot::parse_aut_error_list pel;
       auto daut = spot::dstar_parse(filename, pel, spot::make_bdd_dict());
-      if (spot::format_dstar_parse_errors(std::cerr, filename, pel))
+      if (spot::format_parse_aut_errors(std::cerr, filename, pel))
 	return 2;
       if (!daut)
 	error(2, 0, "failed to read automaton from %s", filename);
diff --git a/src/bin/ltlcross.cc b/src/bin/ltlcross.cc
index 46e8bedbf..99b99a1aa 100644
--- a/src/bin/ltlcross.cc
+++ b/src/bin/ltlcross.cc
@@ -199,7 +199,6 @@ static int seed = 0;
 static unsigned products = 1;
 static bool products_avg = true;
 static bool opt_omit = false;
-static bool has_sr = false; // Has Streett or Rabin automata to process.
 static const char* bogus_output_filename = 0;
 static output_file* bogus_output = 0;
 static output_file* grind_output = 0;
@@ -240,16 +239,9 @@ struct statistics
 {
   statistics()
     : ok(false),
-      has_in(false),
       status_str(0),
       status_code(0),
       time(0),
-      in_type(0),
-      in_states(0),
-      in_edges(0),
-      in_transitions(0),
-      in_acc(0),
-      in_scc(0),
       states(0),
       edges(0),
       transitions(0),
@@ -270,17 +262,9 @@ struct statistics
   // If OK is false, only the status_str, status_code, and time fields
   // should be valid.
   bool ok;
-  // has in_* data to display.
-  bool has_in;
   const char* status_str;
   int status_code;
   double time;
-  const char* in_type;
-  unsigned in_states;
-  unsigned in_edges;
-  unsigned in_transitions;
-  unsigned in_acc;
-  unsigned in_scc;
   unsigned states;
   unsigned edges;
   unsigned transitions;
@@ -303,15 +287,12 @@ struct statistics
   std::string hoa_str;
 
   static void
-  fields(std::ostream& os, bool show_exit, bool show_sr)
+  fields(std::ostream& os, bool show_exit)
   {
     if (show_exit)
       os << "\"exit_status\",\"exit_code\",";
-    os << "\"time\",";
-    if (show_sr)
-      os << ("\"in_type\",\"in_states\",\"in_edges\",\"in_transitions\","
-	     "\"in_acc\",\"in_scc\",");
-    os << ("\"states\","
+    os << ("\"time\","
+	   "\"states\","
 	   "\"edges\","
 	   "\"transitions\","
 	   "\"acc\","
@@ -335,7 +316,7 @@ struct statistics
   }
 
   void
-  to_csv(std::ostream& os, bool show_exit, bool show_sr, const char* na = "",
+  to_csv(std::ostream& os, bool show_exit, const char* na = "",
 	 bool csv_escape = true)
   {
     if (show_exit)
@@ -343,16 +324,6 @@ struct statistics
     os << time << ',';
     if (ok)
       {
-	if (has_in)
-	  os << '"' << in_type << "\","
-	     << in_states << ','
-	     << in_edges << ','
-	     << in_transitions << ','
-	     << in_acc << ','
-	     << in_scc << ',';
-	else if (show_sr)
-	  os << na << ',' << na << ',' << na << ','
-	     << na << ',' << na << ',' << na << ',';
 	os << states << ','
 	   << edges << ','
 	   << transitions << ','
@@ -396,7 +367,7 @@ struct statistics
       {
 	size_t m = products_avg ? 1U : products;
 	m *= 3;
-	m += 15 + show_sr * 6;
+	m += 15;
 	os << na;
 	for (size_t i = 0; i < m; ++i)
 	  os << ',' << na;
@@ -509,7 +480,6 @@ namespace
     xtranslator_runner(spot::bdd_dict_ptr dict)
       : translator_runner(dict)
     {
-      has_sr = has('D');
     }
 
     spot::twa_graph_ptr
@@ -580,7 +550,7 @@ namespace
 	    {
 	    case printable_result_filename::Dstar:
 	      {
-		spot::dstar_parse_error_list pel;
+		spot::parse_aut_error_list pel;
 		std::string filename = output.val()->name();
 		auto aut = spot::dstar_parse(filename, pel, dict);
 		if (!pel.empty())
@@ -591,43 +561,13 @@ namespace
 		    std::ostream& err = global_error();
 		    err << "error: failed to parse the produced DSTAR"
 		      " output.\n";
-		    spot::format_dstar_parse_errors(err, filename, pel);
+		    spot::format_parse_aut_errors(err, filename, pel);
 		    end_error();
 		    res = nullptr;
 		  }
 		else
 		  {
-		    const char* type = 0;
-		    switch (aut->type)
-		      {
-		      case spot::Rabin:
-			type = "DRA";
-			break;
-		      case spot::Streett:
-			type = "DSA";
-			break;
-		      }
-		    assert(type);
-
-		    // Gather statistics about the input automaton
-		    if (want_stats)
-		      {
-			statistics* st = &(*fstats)[translator_num];
-			st->has_in = true;
-			st->in_type = type;
-			spot::tgba_sub_statistics s =
-			  sub_stats_reachable(aut->aut);
-			st->in_states= s.states;
-			st->in_edges = s.transitions;
-			st->in_transitions = s.sub_transitions;
-			st->in_acc = aut->aut->num_sets() / 2;
-
-			st->in_scc = spot::scc_info(aut->aut).scc_count();
-		      }
-		    // convert it into TGBA for further processing
-		    if (verbose)
-		      std::cerr << "info: converting " << type << " to TGBA\n";
-		    res = remove_fin(aut->aut);
+		    res = aut->aut;
 		  }
 		break;
 	      }
@@ -1407,7 +1347,7 @@ print_stats_csv(const char* filename)
       // Do not output the header line if we append to a file.
       // (Even if that file was empty initially.)
       out << "\"formula\",\"tool\",";
-      statistics::fields(out, !opt_omit, has_sr);
+      statistics::fields(out, !opt_omit);
       out << '\n';
     }
   for (unsigned r = 0; r < rounds; ++r)
@@ -1419,7 +1359,7 @@ print_stats_csv(const char* filename)
 	  out << "\",\"";
 	  spot::escape_rfc4180(out, translators[t].name);
 	  out << "\",";
-	  vstats[r][t].to_csv(out, !opt_omit, has_sr);
+	  vstats[r][t].to_csv(out, !opt_omit);
 	  out << '\n';
 	}
 }
@@ -1452,7 +1392,7 @@ print_stats_json(const char* filename)
       spot::escape_str(out, formulas[r]);
     }
   out << ("\"\n  ],\n  \"fields\":  [\n  \"formula\",\"tool\",");
-  statistics::fields(out, !opt_omit, has_sr);
+  statistics::fields(out, !opt_omit);
   out << "\n  ],\n  \"inputs\":  [ 0, 1 ],";
   out << "\n  \"results\": [";
   bool notfirst = false;
@@ -1464,7 +1404,7 @@ print_stats_json(const char* filename)
 	    out << ',';
 	  notfirst = true;
 	  out << "\n    [ " << r << ',' << t << ',';
-	  vstats[r][t].to_csv(out, !opt_omit, has_sr, "null", false);
+	  vstats[r][t].to_csv(out, !opt_omit, "null", false);
 	  out << " ]";
 	}
   out << "\n  ]\n}\n";
diff --git a/src/bin/ltldo.cc b/src/bin/ltldo.cc
index 7bb0b3e7b..d5d99ca85 100644
--- a/src/bin/ltldo.cc
+++ b/src/bin/ltldo.cc
@@ -173,7 +173,7 @@ namespace
 	    {
 	    case printable_result_filename::Dstar:
 	      {
-		spot::dstar_parse_error_list pel;
+		spot::parse_aut_error_list pel;
 		std::string filename = output.val()->name();
 		auto aut = spot::dstar_parse(filename, pel, dict);
 		if (!pel.empty())
@@ -181,7 +181,7 @@ namespace
 		    problem = true;
 		    std::cerr << "error: failed to parse the output of \""
 			      << cmd << "\" as a DSTAR automaton.\n";
-		    spot::format_dstar_parse_errors(std::cerr, filename, pel);
+		    spot::format_parse_aut_errors(std::cerr, filename, pel);
 		    res = nullptr;
 		  }
 		else
diff --git a/src/bin/man/ltlcross.x b/src/bin/man/ltlcross.x
index d2352b70e..750533373 100644
--- a/src/bin/man/ltlcross.x
+++ b/src/bin/man/ltlcross.x
@@ -50,38 +50,31 @@ distinguish and understand these three formats.
 .PP
 Rabin or Streett automata output by
 .B ltl2dstar
-can be read from a
+in its historical format can be read from a
 file specified with \f(CW%D\fR instead of \f(CW%O\fR.  For instance:
 .PP
 .in +4n
 .nf
 .ft C
 % ltlcross \-F input.ltl \e
-  'ltl2dstar \-\-ltl2nba=spin:ltl2tgba@\-s %L %D' \e
-  'ltl2dstar \-\-automata=streett \-\-ltl2nba=spin:ltl2tgba@\-s %L %D' \e
+  'ltl2dstar \-\-ltl2nba=spin:ltl2tgba@\-Ds %L %D' \e
+  'ltl2dstar \-\-automata=streett \-\-ltl2nba=spin:ltl2tgba@\-Ds %L %D' \e
 .fi
 .PP
-However, for historical reasons these Rabin and
-Streett automata are immediately converted to TGBA before further
-processing by
-.BR ltlcross .
-This is still interesting to search for bugs
-in translators to Rabin or Streett automata, but the statistics might
-not be very relevant.  If statistics matters to you and you do not want
-this conversion to occur, use the HOA format to interface with ltl2dstar:
+However, we now recommand to use the HOA output of
+.BR ltl2dstar ,
+as supported since version 0.5.2:
 .PP
 .in +4n
 .nf
 .ft C
 % ltlcross \-F input.ltl \e
-  'ltl2dstar \-\-output\-format=hoa \-\-ltl2nba=spin:ltl2tgba@\-s %L %O' \e
-  'ltl2dstar \-\-output\-format=hoa \-\-automata=streett \-\-ltl2nba=spin:ltl2tgba@\-s %L %O' \e
+  'ltl2dstar \-\-output\-format=hoa \-\-ltl2nba=spin:ltl2tgba@\-Ds %L %O' \e
+  'ltl2dstar \-\-output\-format=hoa \-\-automata=streett \-\-ltl2nba=spin:ltl2tgba@\-Ds %L %O' \e
 .fi
 .PP
-If you use ltlcross in an automated testsuite just to check for
-potential problems, avoid the \fB\-\-csv\fR and \fB\-\-json\fR
-options: ltlcross is faster when it does not have to compute these
-statistics.
+In more recent versions of ltl2dstar, \fB\-\-output\-format=hoa\fR can
+be abbreviated \fB-H\fR.
 
 [ENVIRONMENT VARIABLES]
 .TP
@@ -151,16 +144,6 @@ This is reported for all executions, even failling ones.
 Unless the \fB\-\-omit\-missing\fR option is used, data for all the
 following columns might be missing.
 .TP
-\fBin_type\fR, \fBin_states\fR, \fBin_edges\fR, \fBin_transitions\fR,
-\fBin_acc\fR , \fBin_scc\fR These columns are only output if
-\f(CW%D\fR appears in any command specification, i.e., if any of the
-tools output some Streett or Rabin automata.  In this case
-\fBin_type\fR contains a string that is either \f(CWDRA\fR
-(Deterministic Rabin Automaton) or \f(CWDSA\fR (Deterministic Streett
-Automaton).  The other columns respectively give the number of states,
-edges, transitions, acceptance pairs, and strongly connected
-components in that automaton.
-.TP
 \fBstates\fR, \fBedges\fR, \fBtransitions\fR, \fBacc\fR
 The number of states, edges, transitions, and acceptance sets in the
 translated automaton.  Column \fBedges\fR counts the number of edges
diff --git a/src/dstarparse/Makefile.am b/src/dstarparse/Makefile.am
index 264553cb8..cf2ab30aa 100644
--- a/src/dstarparse/Makefile.am
+++ b/src/dstarparse/Makefile.am
@@ -51,7 +51,6 @@ $(FROM_DSTARPARSE_YY_OTHERS): $(DSTARPARSE_YY)
 EXTRA_DIST = $(DSTARPARSE_YY)
 
 libdstarparse_la_SOURCES = \
-  fmterror.cc \
   $(FROM_DSTARPARSE_YY) \
   dstarscan.ll \
   parsedecl.hh
diff --git a/src/dstarparse/dstarparse.yy b/src/dstarparse/dstarparse.yy
index 67f7bdc0c..d2e7de0ee 100644
--- a/src/dstarparse/dstarparse.yy
+++ b/src/dstarparse/dstarparse.yy
@@ -24,7 +24,7 @@
 %name-prefix "dstaryy"
 %debug
 %error-verbose
-%lex-param { spot::dstar_parse_error_list& error_list }
+%lex-param { spot::parse_aut_error_list& error_list }
 %define api.location.type "spot::location"
 
 %code requires
@@ -38,9 +38,12 @@
   {
     typedef std::map<int, bdd> map_t;
 
+    enum dstar_type { Rabin, Streett };
+
     struct result_
     {
-      spot::dstar_aut_ptr d;
+      spot::parsed_aut_ptr d;
+      dstar_type type;
       spot::ltl::environment* env;
       std::vector<bdd> guards;
       std::vector<bdd>::const_iterator cur_guard;
@@ -70,7 +73,7 @@
   }
 }
 
-%parse-param {spot::dstar_parse_error_list& error_list}
+%parse-param {spot::parse_aut_error_list& error_list}
 %parse-param {result_& result}
 %union
 {
@@ -118,19 +121,20 @@
 
 %%
 dstar: header ENDOFHEADER eols states
+       { result.d->loc = @$; }
 
 eols : EOL | eols EOL
 opt_eols: | opt_eols EOL
 
 auttype: DRA
        {
-         result.d->type = spot::Rabin;
+         result.type = Rabin;
          result.plus = 1;
          result.minus = 0;
        }
        | DSA
        {
-	 result.d->type = spot::Streett;
+	 result.type = Streett;
          result.plus = 0;
          result.minus = 1;
        }
@@ -185,7 +189,7 @@ sizes:
     result.accpair_count = $4;
     result.accpair_count_seen = true;
     result.d->aut->set_acceptance(2 * $4,
-				  result.d->type == spot::Rabin ?
+				  result.type == Rabin ?
 				  spot::acc_cond::acc_code::rabin($4) :
 				  spot::acc_cond::acc_code::streett($4));
   }
@@ -332,9 +336,9 @@ dstaryy::parser::error(const location_type& location,
 
 namespace spot
 {
-  dstar_aut_ptr
+  parsed_aut_ptr
   dstar_parse(const std::string& name,
-	      dstar_parse_error_list& error_list,
+	      parse_aut_error_list& error_list,
 	      const bdd_dict_ptr& dict,
 	      ltl::environment& env,
 	      bool debug)
@@ -343,10 +347,10 @@ namespace spot
       {
 	error_list.emplace_back(spot::location(),
 				std::string("Cannot open file ") + name);
-	return 0;
+	return nullptr;
       }
     result_ r;
-    r.d = std::make_shared<spot::dstar_aut>();
+    r.d = std::make_shared<spot::parsed_aut>();
     r.d->aut = make_twa_graph(dict);
     r.d->aut->prop_deterministic(true);
     r.d->aut->prop_state_based_acc(true);
@@ -355,9 +359,6 @@ namespace spot
     parser.set_debug_level(debug);
     parser.parse();
     dstaryyclose();
-
-    if (!r.d->aut)
-      return nullptr;
     return r.d;
   }
 }
diff --git a/src/dstarparse/dstarscan.ll b/src/dstarparse/dstarscan.ll
index 3d5229f80..d4a4a3063 100644
--- a/src/dstarparse/dstarscan.ll
+++ b/src/dstarparse/dstarscan.ll
@@ -72,7 +72,7 @@ eol2     (\n\r)+|(\r\n)+
 			  if (errno || yylval->num != n)
 			    {
                               error_list.push_back(
-			        spot::dstar_parse_error(*yylloc,
+			        spot::parse_aut_error(*yylloc,
 				  "value too large"));
 			      yylval->num = 0;
                             }
@@ -88,7 +88,7 @@ eol2     (\n\r)+|(\r\n)+
   "*"+"/"		BEGIN(INITIAL);
   <<EOF>>		{
                            error_list.push_back(
-			     spot::dstar_parse_error(*yylloc,
+			     spot::parse_aut_error(*yylloc,
 			       "unclosed comment"));
 			   return 0;
                         }
@@ -105,7 +105,7 @@ eol2     (\n\r)+|(\r\n)+
   [^\\\"]+		s.append(yytext, yyleng);
   <<EOF>>		{
                            error_list.push_back(
-			     spot::dstar_parse_error(*yylloc,
+			     spot::parse_aut_error(*yylloc,
 			       "unclosed string"));
 			   return 0;
                         }
diff --git a/src/dstarparse/fmterror.cc b/src/dstarparse/fmterror.cc
deleted file mode 100644
index e4fe828d0..000000000
--- a/src/dstarparse/fmterror.cc
+++ /dev/null
@@ -1,42 +0,0 @@
-// -*- coding: utf-8 -*-
-// Copyright (C) 2013, 2014 Laboratoire de Recherche et Développement
-// de l'Epita (LRDE).
-//
-// This file is part of Spot, a model checking library.
-//
-// Spot is free software; you can redistribute it and/or modify it
-// under the terms of the GNU General Public License as published by
-// the Free Software Foundation; either version 3 of the License, or
-// (at your option) any later version.
-//
-// Spot is distributed in the hope that it will be useful, but WITHOUT
-// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
-// or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
-// License for more details.
-//
-// You should have received a copy of the GNU General Public License
-// along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-#include <ostream>
-#include "public.hh"
-
-namespace spot
-{
-  bool
-  format_dstar_parse_errors(std::ostream& os,
-			    const std::string& filename,
-			    dstar_parse_error_list& error_list)
-  {
-    bool printed = false;
-    spot::dstar_parse_error_list::iterator it;
-    for (it = error_list.begin(); it != error_list.end(); ++it)
-      {
-	if (filename != "-")
-	  os << filename << ':';
-	os << it->first << ": ";
-	os << it->second << std::endl;
-	printed = true;
-      }
-    return printed;
-  }
-}
diff --git a/src/dstarparse/parsedecl.hh b/src/dstarparse/parsedecl.hh
index 4fba459dd..3d4e04d6f 100644
--- a/src/dstarparse/parsedecl.hh
+++ b/src/dstarparse/parsedecl.hh
@@ -1,5 +1,5 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2013 Laboratoire de Recherche et Développement
+// Copyright (C) 2013, 2015 Laboratoire de Recherche et Développement
 // de l'EPITA.
 //
 // This file is part of Spot, a model checking library.
@@ -22,11 +22,12 @@
 #include <string>
 #include "dstarparse.hh"
 #include "misc/location.hh"
+#include "parseaut/public.hh"
 
 # define YY_DECL \
   int dstaryylex(dstaryy::parser::semantic_type *yylval, \
 		 spot::location *yylloc, \
-		 spot::dstar_parse_error_list& error_list)
+		 spot::parse_aut_error_list& error_list)
 YY_DECL;
 
 namespace spot
diff --git a/src/dstarparse/public.hh b/src/dstarparse/public.hh
index 5949d132a..03f93a498 100644
--- a/src/dstarparse/public.hh
+++ b/src/dstarparse/public.hh
@@ -22,6 +22,7 @@
 #include "twa/twagraph.hh"
 #include "misc/location.hh"
 #include "ltlenv/defaultenv.hh"
+#include "parseaut/public.hh"
 #include <string>
 #include <list>
 #include <utility>
@@ -32,28 +33,7 @@ namespace spot
   /// \addtogroup twa_io
   /// @{
 
-  /// \brief A parse diagnostic with its location.
-  typedef std::pair<spot::location, std::string> dstar_parse_error;
-  /// \brief A list of parser diagnostics, as filled by parse.
-  typedef std::list<dstar_parse_error> dstar_parse_error_list;
-
-  enum dstar_type { Rabin, Streett };
-
-  /// \brief Temporary encoding of an omega automaton produced by
-  /// ltl2dstar.
-  struct SPOT_API dstar_aut
-  {
-    // Transition structure of the automaton.
-    // This is encoded as a TGBA without acceptance condition.
-    twa_graph_ptr aut;
-    /// Type of the acceptance.
-    dstar_type type;
-  };
-
-  typedef std::shared_ptr<dstar_aut> dstar_aut_ptr;
-  typedef std::shared_ptr<const dstar_aut> const_dstar_aut_ptr;
-
-  /// \brief Build a spot::twa_graph from ltl2dstar's output.
+  /// \brief Build a spot::twa_graph_ptr from ltl2dstar's output.
   /// \param filename The name of the file to parse.
   /// \param error_list A list that will be filled with
   ///        parse errors that occured during parsing.
@@ -70,22 +50,12 @@ namespace spot
   /// was parsed succesfully, check \a error_list for emptiness.
   ///
   /// \warning This function is not reentrant.
-  SPOT_API dstar_aut_ptr
+  SPOT_API parsed_aut_ptr
   dstar_parse(const std::string& filename,
-	      dstar_parse_error_list& error_list,
+	      parse_aut_error_list& error_list,
 	      const bdd_dict_ptr& dict,
 	      ltl::environment& env = ltl::default_environment::instance(),
 	      bool debug = false);
 
-  /// \brief Format diagnostics produced by spot::dstar_parse.
-  /// \param os Where diagnostics should be output.
-  /// \param filename The filename that should appear in the diagnostics.
-  /// \param error_list The error list filled by spot::ltl::parse while
-  ///        parsing \a ltl_string.
-  /// \return \c true iff any diagnostic was output.
-  SPOT_API bool
-  format_dstar_parse_errors(std::ostream& os,
-			    const std::string& filename,
-			    dstar_parse_error_list& error_list);
   /// @}
 }
diff --git a/src/tests/ikwiad.cc b/src/tests/ikwiad.cc
index 9d94fc996..199576abf 100644
--- a/src/tests/ikwiad.cc
+++ b/src/tests/ikwiad.cc
@@ -598,7 +598,7 @@ checked_main(int argc, char** argv)
 	{
 	  tm.start("reading -P's argument");
 
-	  spot::dstar_parse_error_list pel;
+	  spot::parse_aut_error_list pel;
 	  auto daut = spot::parse_aut(argv[formula_index] + 2, pel,
 				      dict, env, debug_opt);
 	  if (spot::format_parse_aut_errors(std::cerr,
@@ -961,11 +961,11 @@ checked_main(int argc, char** argv)
 	    {
 	    case ReadDstar:
 	      {
-		spot::dstar_parse_error_list pel;
+		spot::parse_aut_error_list pel;
 		tm.start("parsing dstar");
 		auto daut = spot::dstar_parse(input, pel, dict, env, debug_opt);
 		tm.stop("parsing dstar");
-		if (spot::format_dstar_parse_errors(std::cerr, input, pel))
+		if (spot::format_parse_aut_errors(std::cerr, input, pel))
 		  return 2;
 		tm.start("dstar2tgba");
 		if (nra2nba)
@@ -984,7 +984,7 @@ checked_main(int argc, char** argv)
 	      break;
 	    case ReadHoa:
 	      {
-		spot::dstar_parse_error_list pel;
+		spot::parse_aut_error_list pel;
 		tm.start("parsing hoa");
 		auto daut = spot::parse_aut(input, pel, dict, env, debug_opt);
 		tm.stop("parsing hoa");
diff --git a/src/tests/ltl2dstar.test b/src/tests/ltl2dstar.test
index 9f570529a..08e8cd93d 100755
--- a/src/tests/ltl2dstar.test
+++ b/src/tests/ltl2dstar.test
@@ -57,12 +57,6 @@ $ltlcross -F - -f 'GFa & GFb & GFc' -f '(GFa -> GFb) & (GFc -> GFd)' \
 "ltl2dstar $STR --ltl2nba=spin:$ltl2tgba@-s %L - | $dstar2tgba --low -s >%N" \
 --csv=out.csv
 
-grep '"in_type"' out.csv
-grep '"DSA"' out.csv
-grep '"DRA"' out.csv
-grep ',,,,' out.csv
-
-
 # A bug in ltlcross <=1.2.5 caused it to not use the complement of the
 # negative automaton.  So running ltlcross with GFa would check one
 # complement (the positive one), but running with FGa would ignore
diff --git a/src/tests/ltlcross3.test b/src/tests/ltlcross3.test
index 6438e3b9a..05040fa52 100755
--- a/src/tests/ltlcross3.test
+++ b/src/tests/ltlcross3.test
@@ -138,7 +138,7 @@ echo "$first" > bug.txt
 run 1 ../../bin/ltlcross "$ltl2tgba -s %f >%N" 'false %f >%D' \
       -f 'X  a' --csv=out.csv --save-bogus='>>bug.txt' 2>stderr
 q=`sed 's/[^,]//g;q' out.csv | wc -c`
-test $q -eq `expr $p + 5`
+test $q -eq `expr $p - 1`
 grep '"exit_status"' out.csv
 grep '"exit_code"' out.csv
 test `grep 'error:.*returned exit code 1' stderr | wc -l` -eq 2