diff --git a/tests/python/synthesis.ipynb b/tests/python/synthesis.ipynb
index be001a9b3..e290f02b5 100644
--- a/tests/python/synthesis.ipynb
+++ b/tests/python/synthesis.ipynb
@@ -3,7 +3,6 @@
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@@ -14,13 +13,12 @@
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    "source": [
     "This notebook presents functions that can be used to solve the Reactive Synthesis problem using games.\n",
-    "If you are not familiar with how Spot represent games, please read the `games` notebook first.\n",
+    "If you are not familiar with how Spot represents games, please read the `games` notebook first.\n",
     "\n",
-    "In Reactive Synthesis, the goal is to build an electronic circuit that reacts to some input signals by producing some output signals, under some LTL constraints that tie both input and output.  Of course the input signals are not controlable, so only job is to decide what output signal to produce.\n",
+    "In Reactive Synthesis, the goal is to build an electronic circuit that reacts to some input signals by producing some output signals, under some LTL constraints that tie both input and output.  Of course the input signals are not controllable, so only job is to decide what output signal to produce.\n",
     "\n",
     "# Reactive synthesis in four steps\n",
     "\n",
@@ -33,13 +31,12 @@
     "\n",
     "Each of these steps is parametrized by a structure called `synthesis_info`.  This structure stores some additional data needed to pass fine-tuning options or to store statistics.\n",
     "\n",
-    "The `ltl_to_game` function takes the LTL specification, and the list of controlable atomic propositions (or output signals).  It returns a two-player game, where player 0 plays the input variables (and wants to invalidate the acceptance condition), and player 1 plays the output variables (and wants to satisfy the output condition).  The conversion from LTL to parity automata can use one of many algorithms, and can be specified in the `synthesis_info` structure (this works like the `--algo=` option of `ltlsynt`)."
+    "The `ltl_to_game` function takes the LTL specification, and the list of controllable atomic propositions (or output signals).  It returns a two-player game, where player 0 plays the input variables (and wants to invalidate the acceptance condition), and player 1 plays the output variables (and wants to satisfy the output condition).  The conversion from LTL to parity automata can use one of many algorithms, and can be specified in the `synthesis_info` structure (this works like the `--algo=` option of `ltlsynt`)."
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-   "id": "fb49e681",
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     "Solving the game, is done with `solve_game()` as with any game.  There is also a version that takes a `synthesis_info` as second argument in case the time it takes has to be recorded.  Here passing `si` or not makes no difference."
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-    "Once a strategy has been found, it can be extracted as an automaton and simplified using 6 different levels (the default is 2).  The output should be interpreted as a mealy automaton, where transition have the form `(ins)&(outs)` where `ins` and `outs` are Boolean formulas representing possible possibles inputs and outputs (they could be more than just conjunctions of atomic proposition).  Mealy machines with this type of labels are called \"separated\" in Spot."
+    "Once a strategy has been found, it can be extracted as an automaton and simplified using 6 different levels (the default is 2).  The output should be interpreted as a Mealy automaton, where transition have the form `(ins)&(outs)` where `ins` and `outs` are Boolean formulas representing possible inputs and outputs (they could be more than just conjunctions of atomic proposition).  Mealy machines with this type of labels are called \"separated\" in Spot."
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   {
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-   "id": "cdf8f5f1",
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-      "simplification lvl  2 : bisimulation-based reduction with output output assignement\n"
+      "simplification lvl  2 : bisimulation-based reduction with output assignement\n"
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     "# We have different levels of simplification:\n",
     "# 0 : No simplification\n",
     "# 1 : bisimulation-based reduction\n",
-    "# 2 : bisimulation-based reduction with output output assignement\n",
+    "# 2 : bisimulation-based reduction with output assignement\n",
     "# 3 : SAT-based exact minimization\n",
     "# 4 : First 1 then 3 (exact)\n",
     "# 5 : First 2 then 3 (not exact)\n",
     "\n",
     "descr = [\"0 : No simplification\", \n",
     "         \"1 : bisimulation-based reduction\", \n",
-    "         \"2 : bisimulation-based reduction with output output assignement\",\n",
+    "         \"2 : bisimulation-based reduction with output assignement\",\n",
     "         \"3 : SAT-based exact minimization\",\n",
     "         \"4 : First 1 then 3 (exact)\",\n",
     "         \"5 : First 2 then 3 (not exact)\"]\n",
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   },
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    "metadata": {},
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     "If needed, a separated Mealy machine can be turned into game shape using `split_sepearated_mealy()`, which is more efficient than `split_2step()`."
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   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "cc977286",
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    "outputs": [
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@@ -2643,12 +2634,11 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa6fe484",
    "metadata": {},
    "source": [
-    "# Converting the separated mealy machine to AIGER\n",
+    "# Converting the separated mealy machine to AIG\n",
     "\n",
-    "A separated mealy machine can be converted to a circuit in the [AIGER format](http://fmv.jku.at/aiger/FORMAT.aiger) using `mealy_machine_to_aig()`.  This takes a second argument specifying what type of encoding to use (exactly like `ltlsynt`'s `--aiger=...` option).  \n",
+    "A separated Mealy machine can be converted to a circuit in the [AIGER format](http://fmv.jku.at/aiger/FORMAT.aiger) using `mealy_machine_to_aig()`.  This takes a second argument specifying what type of encoding to use (exactly like `ltlsynt`'s `--aiger=...` option).  \n",
     "\n",
     "In this case, the circuit is quite simple: `o0` should be the negation of previous value of `i1`.  This is done by storing the value of `i1` in a latch.  And the value if `i0` can be ignored."
    ]
@@ -2656,7 +2646,6 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "78261ec4",
    "metadata": {},
    "outputs": [
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        "</svg>\n"
       ],
       "text/plain": [
-       "<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7ff27d4e7300> >"
+       "<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7f44ac264a80> >"
       ]
      },
      "metadata": {},
@@ -2732,7 +2721,6 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f95dc6b7",
    "metadata": {},
    "source": [
     "While we are at it, let us mention that you can render those circuits horizontally as follows:"
@@ -2741,7 +2729,6 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "14410565",
    "metadata": {},
    "outputs": [
     {
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-       "<text text-anchor=\"middle\" x=\"146.49\" y=\"-19.3\" font-family=\"Times,serif\" font-size=\"14.00\">L0_out</text>\n",
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@@ -2817,16 +2804,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ccbc2e2",
    "metadata": {},
    "source": [
-    "To encode the circuit in the aig format (ASCII version) use:"
+    "To encode the circuit in the AIGER format (ASCII version) use:"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "06e485d0",
    "metadata": {},
    "outputs": [
     {
@@ -2850,7 +2835,6 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f006648",
    "metadata": {},
    "source": [
     "# Adding more inputs and outputs by force"
@@ -2858,7 +2842,6 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9905208f",
    "metadata": {},
    "source": [
     "It can happen that propositions declared as output are ommited in the aig circuit (either because they are not part of the specification, or because they do not appear in the winning strategy).  In that case those \n",
@@ -2870,7 +2853,6 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "560a7e46",
    "metadata": {},
    "outputs": [
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@@ -2879,167 +2861,167 @@
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-    "# Combining mealy machines\n",
+    "# Combining Mealy machines\n",
     "\n",
-    "It can happen that the complet specification of the controller can be separated into sub-specifications with DISJOINT output propositions, see Finkbeiner et al. Specification Decomposition for Reactive Synthesis.\n",
-    "This results in multiple mealy machines which have to be converted into one single aiger circuit.\n",
+    "It can happen that the complete specification of the controller can be separated into sub-specifications with DISJOINT output propositions, see Finkbeiner et al. Specification Decomposition for Reactive Synthesis.\n",
+    "This results in multiple Mealy machines which have to be converted into one single AIG circuit.\n",
     "\n",
-    "This can be done using the function `mealy_machines_to_aig()`, which takes a vector of separated mealy machines as argument.\n",
-    "In order for this to work, all mealy machines need to share the same `bdd_dict`. This can be ensured by passing a common options strucuture."
+    "This can be done using the function `mealy_machines_to_aig()`, which takes a vector of separated Mealy machines as argument.\n",
+    "In order for this to work, all Mealy machines need to share the same `bdd_dict`. This can be ensured by passing a common options strucuture."
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       "text/plain": [
-       "<spot.aig; proxy of <Swig Object of type 'spot::aig_ptr *' at 0x7ff29402fa80> >"
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@@ -3780,7 +3758,6 @@
   },
   {
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    "source": [
     "# Reading an AIGER-file\n",
@@ -3795,7 +3772,6 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "3bc0b1f2",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -3816,7 +3792,6 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "1455e6ab",
    "metadata": {},
    "outputs": [
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@@ -3941,7 +3916,6 @@
   {
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@@ -3970,7 +3944,6 @@
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@@ -3987,16 +3960,14 @@
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-    "An aiger circuit can be transformed into a monitor/mealy machine.  This can be used for instance to check that it does not intersect the negation of the specification."
+    "An AIG circuit can be transformed into a monitor/Mealy machine.  This can be used for instance to check that it does not intersect the negation of the specification."
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    "outputs": [
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-    "Note that the generation of aiger circuits from mealy machines is flexible and accepts separated mealy machines\n",
-    "as well as split mealy machines."
+    "Note that the generation of aiger circuits from Mealy machines is flexible and accepts separated Mealy machines\n",
+    "as well as split Mealy machines."
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    "cell_type": "code",
    "execution_count": 17,
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   {
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