Skip to content

Instantly share code, notes, and snippets.

@AHartNtkn
Created March 31, 2023 13:36
Show Gist options
  • Save AHartNtkn/88126da50efd14a1b90a663087d149f5 to your computer and use it in GitHub Desktop.
Save AHartNtkn/88126da50efd14a1b90a663087d149f5 to your computer and use it in GitHub Desktop.
Notebook for Hylomorphism Traces
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 13.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 52367, 1347]
NotebookOptionsPosition[ 48362, 1283]
NotebookOutlinePosition[ 48757, 1299]
CellTagsIndexPosition[ 48714, 1296]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[",
RowBox[{"X_", "\[CircleTimes]", "Y_"}], "]"}], "[", "f_", "]"}], "[",
RowBox[{"{",
RowBox[{"x_", ",", "y_"}], "}"}], "]"}], ":=",
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[", "X", "]"}], "[", "f", "]"}], "[", "x", "]"}], ",",
RowBox[{
RowBox[{
RowBox[{"M", "[", "Y", "]"}], "[", "f", "]"}], "[", "y", "]"}]}],
"}"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[", "f_", "]"}], "[",
RowBox[{"inl", "[", "x_", "]"}], "]"}], ":=",
RowBox[{"inl", "[",
RowBox[{
RowBox[{
RowBox[{"M", "[", "X", "]"}], "[", "f", "]"}], "[", "x", "]"}],
"]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[", "f_", "]"}], "[",
RowBox[{"inr", "[", "y_", "]"}], "]"}], ":=",
RowBox[{"inr", "[",
RowBox[{
RowBox[{
RowBox[{"M", "[", "Y", "]"}], "[", "f", "]"}], "[", "y", "]"}],
"]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[", "$C", "]"}], "[", "_", "]"}], "[", "x_", "]"}], ":=",
"x"}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"M", "[", "$X", "]"}], "[", "f_", "]"}], "[", "x_", "]"}], ":=",
RowBox[{"f", "[", "x", "]"}]}]}], "Input",
CellChangeTimes->{{3.889257527792602*^9, 3.889257527793014*^9}},
CellLabel->"In[1]:=",ExpressionUUID->"50f13cbc-3355-449d-b9d7-213289424d01"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"hylo", "[",
RowBox[{"F_", ",", "a_", ",", "c_"}], "]"}], "[", "x_", "]"}], ":=",
RowBox[{"a", "@",
RowBox[{
RowBox[{
RowBox[{"M", "[", "F", "]"}], "[",
RowBox[{"hylo", "[",
RowBox[{"F", ",", "a", ",", "c"}], "]"}], "]"}], "@",
RowBox[{"c", "@", "x"}]}]}]}]], "Input",
CellChangeTimes->{{3.889257523464143*^9, 3.889257523464533*^9}},
CellLabel->"In[6]:=",ExpressionUUID->"24116713-3540-4c06-8a37-1d2a169da577"],
Cell[BoxData[{
RowBox[{
RowBox[{"listCoalg", "[",
RowBox[{"{", "}"}], "]"}], ":=",
RowBox[{"inl", "[", "tt", "]"}]}], "\n",
RowBox[{
RowBox[{"listCoalg", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs___"}], "}"}], "]"}], ":=",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"{", "xs", "}"}]}], "}"}], "]"}]}]}], "Input",
CellChangeTimes->{{3.889257517289289*^9, 3.8892575172897673`*^9}},
CellLabel->"In[7]:=",ExpressionUUID->"2cc8e3b0-a564-476b-883e-35fbe0cacd50"],
Cell[BoxData[{
RowBox[{
RowBox[{"listAlg", "[",
RowBox[{"inl", "[", "tt", "]"}], "]"}], ":=",
RowBox[{"{", "}"}]}], "\n",
RowBox[{
RowBox[{"listAlg", "[",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs_"}], "}"}], "]"}], "]"}], ":=",
RowBox[{"Prepend", "[",
RowBox[{"xs", ",", "x"}], "]"}]}]}], "Input",
CellChangeTimes->{{3.88925751124749*^9, 3.8892575112478867`*^9}},
CellLabel->"In[9]:=",ExpressionUUID->"ce8c6ad0-379e-4a62-9bdd-54c6ca97ca9a"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",", "listAlg", ",",
"listCoalg"}], "]"}], "[",
RowBox[{"{",
RowBox[{"1", ",", "2", ",", "3"}], "}"}], "]"}]], "Input",
CellChangeTimes->{{3.889257630781039*^9, 3.889257630781473*^9}},
CellLabel->"In[11]:=",ExpressionUUID->"ecb0ca89-3573-4f31-9928-408269c40209"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"1", ",", "2", ",", "3"}], "}"}]], "Output",
CellChangeTimes->{3.889257631406933*^9, 3.889257848100267*^9,
3.889258435941825*^9},
CellLabel->"Out[11]=",ExpressionUUID->"86b64a36-27c1-491c-812f-f2ceaf6f04ac"]
}, Open ]],
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"filterAlg", "[", "p_", "]"}], "[",
RowBox[{"inl", "[", "tt", "]"}], "]"}], ":=",
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"filterAlg", "[", "p_", "]"}], "[",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"x_", ",",
RowBox[{"{",
RowBox[{"l1_", ",", "l2_"}], "}"}]}], "}"}], "]"}], "]"}], ":=",
RowBox[{"If", "[",
RowBox[{
RowBox[{"x", "<", "p"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"Prepend", "[",
RowBox[{"l1", ",", "x"}], "]"}], ",", "l2"}], "}"}], ",",
RowBox[{"{",
RowBox[{"l1", ",",
RowBox[{"Prepend", "[",
RowBox[{"l2", ",", "x"}], "]"}]}], "}"}]}], "]"}]}]}], "Input",
CellChangeTimes->{{3.88925750219902*^9, 3.889257502199428*^9}},
CellLabel->"In[12]:=",ExpressionUUID->"84207c56-cdae-499f-a7ed-e0b6f118cb54"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"filterAlg", "[", "3", "]"}], ",", "listCoalg"}], "]"}], "[",
RowBox[{"{",
RowBox[{"1", ",", "5", ",", "2", ",", "4", ",", "6"}], "}"}],
"]"}]], "Input",
CellLabel->"In[14]:=",ExpressionUUID->"37b7ffda-4dd2-4cbd-96d9-264d698aa239"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"1", ",", "2"}], "}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "4", ",", "6"}], "}"}]}], "}"}]], "Output",
CellChangeTimes->{3.889257663504974*^9, 3.889257849906103*^9,
3.88925843902104*^9},
CellLabel->"Out[14]=",ExpressionUUID->"e6e420e2-79d2-41fa-b199-a1e78a5f5e9f"]
}, Open ]],
Cell[BoxData[{
RowBox[{
RowBox[{"filter", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs_"}], "}"}], "]"}], ":=",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"filterAlg", "[", "x", "]"}], ",", "listCoalg"}], "]"}], "[",
"xs", "]"}]}], "}"}]}], "\n",
RowBox[{"qsCoalg", ":=",
RowBox[{
RowBox[{
RowBox[{"M", "[",
RowBox[{"$C", "\[CirclePlus]", "$X"}], "]"}], "[", "filter", "]"}], "@*",
"listCoalg"}]}]}], "Input",
CellChangeTimes->{{3.889257495791527*^9, 3.889257495791975*^9}},
CellLabel->"In[15]:=",ExpressionUUID->"8eab05b6-14bf-48ad-bbf1-56d271069b99"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"qsCoalg", "[",
RowBox[{"{",
RowBox[{"3", ",", "2", ",", "7", ",", "8", ",", "6", ",", "1"}], "}"}],
"]"}]], "Input",
CellChangeTimes->{{3.889257669315464*^9, 3.889257692173291*^9}},
CellLabel->"In[17]:=",ExpressionUUID->"59e6a7e5-e03c-4823-99c8-795cbaa1533d"],
Cell[BoxData[
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"3", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"2", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"7", ",", "8", ",", "6"}], "}"}]}], "}"}]}], "}"}],
"]"}]], "Output",
CellChangeTimes->{{3.889257684124354*^9, 3.889257692657996*^9},
3.8892578514180927`*^9, 3.889258441630362*^9},
CellLabel->"Out[17]=",ExpressionUUID->"d12c2eff-e08f-48bf-b782-968f6d2c11d7"]
}, Open ]],
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"concatAlg", "[", "n_", "]"}], "[",
RowBox[{"inl", "[", "tt", "]"}], "]"}], ":=", "n"}], "\n",
RowBox[{
RowBox[{
RowBox[{"concatAlg", "[", "n_", "]"}], "[",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs_"}], "}"}], "]"}], "]"}], ":=",
RowBox[{"Prepend", "[",
RowBox[{"xs", ",", "x"}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"concat", "[",
RowBox[{"n_", ",", "m_"}], "]"}], ":=",
RowBox[{
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"concatAlg", "[", "m", "]"}], ",", "listCoalg"}], "]"}], "[",
"n", "]"}]}], "\n"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"qsAlg", "[",
RowBox[{"inl", "[", "tt", "]"}], "]"}], ":=",
RowBox[{"{", "}"}]}], "\n",
RowBox[{
RowBox[{"qsAlg", "[",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"n_", ",",
RowBox[{"{",
RowBox[{"l_", ",", "r_"}], "}"}]}], "}"}], "]"}], "]"}], ":=",
RowBox[{"concat", "[",
RowBox[{"l", ",",
RowBox[{"Prepend", "[",
RowBox[{"r", ",", "n"}], "]"}]}], "]"}]}]}], "Input",
CellChangeTimes->{{3.889257473774398*^9, 3.889257477690515*^9}, {
3.889257709029336*^9, 3.8892577103332663`*^9}},
CellLabel->"In[18]:=",ExpressionUUID->"42bacf81-a553-4004-be13-5f696dbf3c7b"],
Cell[BoxData[
RowBox[{
RowBox[{"qs", "=",
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{"$X", "\[CircleTimes]", "$X"}], ")"}]}], ")"}]}], ",",
"qsAlg", ",", "qsCoalg"}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.889257800057803*^9, 3.889257802825197*^9}},
CellLabel->"In[23]:=",ExpressionUUID->"cb180f76-efad-4546-8171-e493bd06f5a9"],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{"RandomSample", "[",
RowBox[{"Range", "[", "9", "]"}], "]"}], "\[IndentingNewLine]",
RowBox[{"qs", "[", "%", "]"}]}], "Input",
CellChangeTimes->{{3.889257534349066*^9, 3.889257548109737*^9}},
CellLabel->"In[24]:=",ExpressionUUID->"e46c5ea3-d1b4-4e15-a7d4-fe45cf9a6d09"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
"2", ",", "6", ",", "7", ",", "9", ",", "3", ",", "5", ",", "4", ",", "1",
",", "8"}], "}"}]], "Output",
CellChangeTimes->{3.889257548427205*^9, 3.889257857556424*^9,
3.889258443980674*^9},
CellLabel->"Out[24]=",ExpressionUUID->"d444709a-5db7-4815-a73c-4e87d8143640"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
"1", ",", "2", ",", "3", ",", "4", ",", "5", ",", "6", ",", "7", ",", "8",
",", "9"}], "}"}]], "Output",
CellChangeTimes->{3.889257548427205*^9, 3.889257857556424*^9,
3.8892584439811487`*^9},
CellLabel->"Out[25]=",ExpressionUUID->"4025de9f-2886-49ca-a77b-0571d8443c09"]
}, Open ]],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]",
"\[IndentingNewLine]"}]], "Input",
CellChangeTimes->{{3.889257896679247*^9,
3.889257897213624*^9}},ExpressionUUID->"4df5a252-098a-4ee2-b38e-\
12c17eae0e90"],
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{
RowBox[{"split", "[",
RowBox[{"f_", ",", "g_"}], "]"}], "[", "x_", "]"}], ":=",
RowBox[{"{",
RowBox[{
RowBox[{"f", "[", "x", "]"}], ",",
RowBox[{"g", "[", "x", "]"}]}], "}"}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"hyloCTrc", "[",
RowBox[{"F_", ",", "c_"}], "]"}], ":=",
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CircleTimes]", "F"}], ",",
RowBox[{"#", "&"}], ",",
RowBox[{"split", "[",
RowBox[{
RowBox[{"#", "&"}], ",", "c"}], "]"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"hyloATrc", "[",
RowBox[{"F_", ",", "a_", ",", "c_"}], "]"}], ":=",
RowBox[{"hylo", "[",
RowBox[{"F", ",",
RowBox[{"split", "[",
RowBox[{
RowBox[{"a", "@*",
RowBox[{
RowBox[{"M", "[", "F", "]"}], "[", "First", "]"}]}], ",",
RowBox[{"#", "&"}]}], "]"}], ",", "c"}], "]"}]}],
"\[IndentingNewLine]"}], "\n",
RowBox[{
RowBox[{
RowBox[{"collapse", "[",
RowBox[{"X_", "\[CircleTimes]", "Y_"}], "]"}], "[",
RowBox[{"{",
RowBox[{"x_", ",", "y_"}], "}"}], "]"}], ":=",
RowBox[{"Union", "[",
RowBox[{
RowBox[{
RowBox[{"collapse", "[", "X", "]"}], "[", "x", "]"}], ",",
RowBox[{
RowBox[{"collapse", "[", "Y", "]"}], "[", "y", "]"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"collapse", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[",
RowBox[{"inl", "[", "x_", "]"}], "]"}], ":=",
RowBox[{
RowBox[{"collapse", "[", "X", "]"}], "[", "x", "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"collapse", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[",
RowBox[{"inr", "[", "y_", "]"}], "]"}], ":=",
RowBox[{
RowBox[{"collapse", "[", "Y", "]"}], "[", "y", "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"collapse", "[", "$C", "]"}], "[", "x_", "]"}], ":=",
RowBox[{"{", "}"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"collapse", "[", "$X", "]"}], "[", "x_", "]"}], ":=", "x"}],
"\[IndentingNewLine]"}], "\n",
RowBox[{
RowBox[{
RowBox[{"ConstrCoalg", "[", "F_", "]"}], "[",
RowBox[{"{",
RowBox[{"a_", ",", "r_"}], "}"}], "]"}], ":=",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"a", ",",
RowBox[{
RowBox[{
RowBox[{"M", "[", "F", "]"}], "[", "First", "]"}], "[", "r", "]"}]}],
"}"}], ",", "r"}], "}"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"ConstrAlg", "[", "F_", "]"}], "[",
RowBox[{"{",
RowBox[{"a_", ",", "r_"}], "}"}], "]"}], ":=",
RowBox[{"Union", "[",
RowBox[{
RowBox[{"{", "a", "}"}], ",",
RowBox[{
RowBox[{"collapse", "[", "F", "]"}], "[", "r", "]"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"Constraints", "[", "F_", "]"}], ":=",
RowBox[{"hylo", "[",
RowBox[{
RowBox[{"$C", "\[CircleTimes]", "F"}], ",",
RowBox[{"ConstrAlg", "[", "F", "]"}], ",",
RowBox[{"ConstrCoalg", "[", "F", "]"}]}], "]"}]}],
"\[IndentingNewLine]"}], "\n",
RowBox[{
RowBox[{"CConstraints", "[",
RowBox[{"F_", ",", "c_"}], "]"}], ":=",
RowBox[{
RowBox[{"Constraints", "[", "F", "]"}], "@*",
RowBox[{"hyloCTrc", "[",
RowBox[{"F", ",", "c"}], "]"}]}]}], "\n",
RowBox[{
RowBox[{"AConstraints", "[",
RowBox[{"F_", ",", "a_", ",", "c_"}], "]"}], ":=",
RowBox[{
RowBox[{"Constraints", "[", "F", "]"}], "@*",
RowBox[{"hyloATrc", "[",
RowBox[{"F", ",", "a", ",", "c"}], "]"}]}]}]}], "Input",
CellChangeTimes->{{3.889257459973711*^9, 3.8892574618814907`*^9}, {
3.88925799165065*^9, 3.8892579925658293`*^9}},
CellLabel->"In[26]:=",ExpressionUUID->"c19b0b75-a3e9-4129-8573-09959fa31b35"],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{"AConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"filterAlg", "[", "3", "]"}], ",", "listCoalg"}], "]"}], "[",
RowBox[{"{",
RowBox[{"1", ",", "5", ",", "6", ",", "7", ",", "2"}], "}"}],
"]"}], "\[IndentingNewLine]",
RowBox[{"%", "/.", " ",
RowBox[{
RowBox[{"{",
RowBox[{"x_", ",", "y_"}], "}"}], ":>",
RowBox[{"x", "==",
RowBox[{
RowBox[{"filterAlg", "[", "3", "]"}], "[", "y", "]"}]}]}]}]}], "Input",
CellChangeTimes->{{3.889257934067533*^9, 3.889257952136141*^9}, {
3.889258017507715*^9, 3.8892580221637297`*^9}, {3.889258062937442*^9,
3.889258064029726*^9}},
CellLabel->"In[39]:=",ExpressionUUID->"c0da4cf9-c27e-41db-8e36-684eed5a59c0"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
RowBox[{"inl", "[", "tt", "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"2", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{", "7", "}"}]}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"7", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{",
RowBox[{"6", ",", "7"}], "}"}]}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"6", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{", "7", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "6", ",", "7"}], "}"}]}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"5", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{",
RowBox[{"6", ",", "7"}], "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"1", ",", "2"}], "}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "6", ",", "7"}], "}"}]}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"1", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "2", "}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "6", ",", "7"}], "}"}]}], "}"}]}], "}"}],
"]"}]}], "}"}]}], "}"}]], "Output",
CellChangeTimes->{{3.8892579946817913`*^9, 3.889258022497109*^9},
3.8892580643794622`*^9, 3.889258447157439*^9},
CellLabel->"Out[39]=",ExpressionUUID->"693e1144-1747-4f68-914a-2b9af4f37bee"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
"True", ",", "True", ",", "True", ",", "True", ",", "True", ",", "True"}],
"}"}]], "Output",
CellChangeTimes->{{3.8892579946817913`*^9, 3.889258022497109*^9},
3.8892580643794622`*^9, 3.889258447158531*^9},
CellLabel->"Out[40]=",ExpressionUUID->"bbfa307b-11d6-4b8d-b528-100641a5ee35"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{"CConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{"$X", "\[CircleTimes]", "$X"}], ")"}]}], ")"}]}], ",",
"qsCoalg"}], "]"}], "[",
RowBox[{"{",
RowBox[{"3", ",", "4", ",", "2", ",", "9", ",", "1"}], "}"}],
"]"}], "\[IndentingNewLine]",
RowBox[{"%", "/.", " ",
RowBox[{
RowBox[{"{",
RowBox[{"x_", ",", "y_"}], "}"}], ":>",
RowBox[{"y", "==",
RowBox[{"qsCoalg", "[", "x", "]"}]}]}]}]}], "Input",
CellLabel->"In[41]:=",ExpressionUUID->"83412c11-daa9-4dd8-801f-d15a19ebab3e"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"inl", "[", "tt", "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "1", "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"1", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "9", "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"9", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"2", ",", "1"}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"2", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "1", "}"}], ",",
RowBox[{"{", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"4", ",", "9"}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"4", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{", "}"}], ",",
RowBox[{"{", "9", "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"3", ",", "4", ",", "2", ",", "9", ",", "1"}], "}"}], ",",
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"3", ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"2", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"4", ",", "9"}], "}"}]}], "}"}]}], "}"}], "]"}]}], "}"}]}],
"}"}]], "Output",
CellChangeTimes->{3.889258336672966*^9, 3.889258448519286*^9},
CellLabel->"Out[41]=",ExpressionUUID->"3d72b1db-bf56-4b4b-a857-5ec4de7b8250"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
"True", ",", "True", ",", "True", ",", "True", ",", "True", ",", "True"}],
"}"}]], "Output",
CellChangeTimes->{3.889258336672966*^9, 3.889258448520482*^9},
CellLabel->"Out[42]=",ExpressionUUID->"9ab3dbbb-3b2f-4207-8c09-9a3013110972"]
}, Open ]],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]", "\[IndentingNewLine]",
"\[IndentingNewLine]"}]], "Input",
CellChangeTimes->{{3.889258353115934*^9,
3.889258353682769*^9}},ExpressionUUID->"dc2c987e-da65-4d7e-9438-\
5c2142734df4"],
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"filterCheck", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs_"}], "}"}], "]"}], ":=",
RowBox[{
RowBox[{
RowBox[{"filterAlgCheck", "[",
RowBox[{"x", ",", "#2", ",", "#1"}], "]"}], "&"}], "@@@",
RowBox[{
RowBox[{"AConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"filterAlg", "[", "x", "]"}], ",", "listCoalg"}], "]"}], "[",
"xs", "]"}]}]}], "\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"qsCoalgCheck", "[",
RowBox[{
RowBox[{"{", "}"}], ",", "r_"}], "]"}], ":=",
RowBox[{"{",
RowBox[{"qsCoalgEqCheck", "[",
RowBox[{
RowBox[{"inl", "[", "tt", "]"}], ",", "r"}], "]"}], "}"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"qsCoalgCheck", "[",
RowBox[{
RowBox[{"{",
RowBox[{"a_", ",", "as___"}], "}"}], ",", "r_"}], "]"}], ":=",
RowBox[{"Union", "[",
RowBox[{
RowBox[{"{",
RowBox[{"qsCoalgEqCheck", "[",
RowBox[{
RowBox[{"inr", "[",
RowBox[{"filter", "[",
RowBox[{"{",
RowBox[{"a", ",",
RowBox[{"{", "as", "}"}]}], "}"}], "]"}], "]"}], ",", "r"}],
"]"}], "}"}], ",",
RowBox[{"filterCheck", "[",
RowBox[{"{",
RowBox[{"a", ",",
RowBox[{"{", "as", "}"}]}], "}"}], "]"}]}], "]"}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"concatCheck", "[",
RowBox[{"n_", ",", "m_"}], "]"}], ":=",
RowBox[{
RowBox[{
RowBox[{"concatAlgCheck", "[",
RowBox[{"m", ",", "#2", ",", "#1"}], "]"}], "&"}], "@@@",
RowBox[{
RowBox[{"AConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]", "$X"}], ")"}]}], ",",
RowBox[{"concatAlg", "[", "m", "]"}], ",", "listCoalg"}], "]"}], "[",
"n", "]"}]}]}], "\[IndentingNewLine]"}], "\n",
RowBox[{
RowBox[{"qsAlgCheck", "[",
RowBox[{
RowBox[{"inl", "[", "tt", "]"}], ",", "s_"}], "]"}], ":=",
RowBox[{"{",
RowBox[{"qsAlgEqCheck", "[",
RowBox[{
RowBox[{"inl", "[", "tt", "]"}], ",", "s"}], "]"}], "}"}]}], "\n",
RowBox[{
RowBox[{"qsAlgCheck", "[",
RowBox[{
RowBox[{"inr", "[",
RowBox[{"{",
RowBox[{"n_", ",",
RowBox[{"{",
RowBox[{"l_", ",", "r_"}], "}"}]}], "}"}], "]"}], ",", "s_"}], "]"}],
":=",
RowBox[{"Union", "[",
RowBox[{
RowBox[{"{",
RowBox[{"qsAlgEqCheck", "[",
RowBox[{
RowBox[{"concat", "[",
RowBox[{"l", ",",
RowBox[{"Prepend", "[",
RowBox[{"r", ",", "n"}], "]"}]}], "]"}], ",", "s"}], "]"}], "}"}],
",",
RowBox[{"concatCheck", "[",
RowBox[{"l", ",",
RowBox[{"Prepend", "[",
RowBox[{"r", ",", "n"}], "]"}]}], "]"}]}], "]"}]}]}], "Input",
CellChangeTimes->{{3.889257439868539*^9, 3.889257439868957*^9}, {
3.889258346498747*^9, 3.889258347163885*^9}},
CellLabel->"In[43]:=",ExpressionUUID->"b5d27807-25e0-423a-8417-2fea0be86823"],
Cell[BoxData[{
RowBox[{
RowBox[{"filterAlgCheck", "[",
RowBox[{"p_", ",", "a_", ",", "b_"}], "]"}], ":=",
RowBox[{"eq", "[",
RowBox[{
RowBox[{"ap", "[",
RowBox[{"\"\<filterAlgCheck\>\"", ",",
RowBox[{"{",
RowBox[{"p", ",",
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"$1", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{
RowBox[{"$L", "[", "$C", "]"}], "\[CircleTimes]",
RowBox[{"$L", "[", "$C", "]"}]}], ")"}]}], ")"}]}], "]"}], "[",
"a", "]"}], ",",
RowBox[{
RowBox[{"funConv", "[",
RowBox[{
RowBox[{"$L", "[", "$C", "]"}], "\[CircleTimes]",
RowBox[{"$L", "[", "$C", "]"}]}], "]"}], "[", "b", "]"}]}],
"}"}]}], "]"}], ",", "1"}], "]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"concatAlgCheck", "[",
RowBox[{"p_", ",", "a_", ",", "b_"}], "]"}], ":=",
RowBox[{"eq", "[",
RowBox[{
RowBox[{"ap", "[",
RowBox[{"\"\<concatAlgCheck\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"listConv", "[", "p", "]"}], ",",
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"$1", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"$L", "[", "$C", "]"}]}], ")"}]}], "]"}], "[", "a",
"]"}], ",",
RowBox[{"listConv", "[", "b", "]"}]}], "}"}]}], "]"}], ",", "1"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"qsAlgEqCheck", "[",
RowBox[{"x_", ",", "y_"}], "]"}], ":=",
RowBox[{"eq", "[",
RowBox[{
RowBox[{"ap", "[",
RowBox[{"\"\<listEq\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"listConv", "[", "x", "]"}], ",",
RowBox[{"listConv", "[", "y", "]"}]}], "}"}]}], "]"}], ",", "1"}],
"]"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"qsCoalgEqCheck", "[",
RowBox[{"x_", ",", "y_"}], "]"}], ":=",
RowBox[{"eq", "[",
RowBox[{
RowBox[{"ap", "[",
RowBox[{
RowBox[{"eqTrm", "[",
RowBox[{"$1", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$N", "\[CircleTimes]",
RowBox[{"(",
RowBox[{"$L", "\[CircleTimes]", "$L"}], ")"}]}], ")"}]}], "]"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"$1", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{
RowBox[{"$L", "[", "$C", "]"}], "\[CircleTimes]",
RowBox[{"$L", "[", "$C", "]"}]}], ")"}]}], ")"}]}], "]"}],
"[", "x", "]"}], ",",
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"$1", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{
RowBox[{"$L", "[", "$C", "]"}], "\[CircleTimes]",
RowBox[{"$L", "[", "$C", "]"}]}], ")"}]}], ")"}]}], "]"}],
"[", "y", "]"}]}], "}"}]}], "]"}], ",", "1"}], "]"}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"qsCheck", "[", "x_", "]"}], ":=", "\[IndentingNewLine]",
RowBox[{"Flatten", "[",
RowBox[{
RowBox[{"Union", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"qsAlgCheck", "[",
RowBox[{"#2", ",", "#1"}], "]"}], "&"}], "@@@",
RowBox[{
RowBox[{"AConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{"$X", "\[CircleTimes]", "$X"}], ")"}]}], ")"}]}], ",",
"qsAlg", ",", "qsCoalg"}], "]"}], "[", "x", "]"}]}], ",",
"\[IndentingNewLine]",
RowBox[{"qsCoalgCheck", "@@@",
RowBox[{
RowBox[{"CConstraints", "[",
RowBox[{
RowBox[{"$C", "\[CirclePlus]",
RowBox[{"(",
RowBox[{"$C", "\[CircleTimes]",
RowBox[{"(",
RowBox[{"$X", "\[CircleTimes]", "$X"}], ")"}]}], ")"}]}], ",",
"qsCoalg"}], "]"}], "[", "x", "]"}]}]}], "\[IndentingNewLine]",
"]"}], ",", "1"}], "]"}]}], "\[IndentingNewLine]"}], "Input",
CellChangeTimes->{{3.889258251717911*^9, 3.889258262526223*^9},
3.8892583598430643`*^9},
CellLabel->"In[49]:=",ExpressionUUID->"16afc65a-0182-4851-a7f1-0e84755c2a4d"],
Cell[BoxData[""], "Input",
CellChangeTimes->{{3.889257431764042*^9, 3.889257431764434*^9},
3.889258250189631*^9},ExpressionUUID->"461cd31d-22ad-4a86-b29f-\
5ab045a1d4e7"],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]", "\[IndentingNewLine]"}]], "Input",
CellChangeTimes->{{3.8892581810918303`*^9,
3.8892581814189377`*^9}},ExpressionUUID->"a2c65c05-b0c3-48df-8345-\
826b9c0ad1fc"],
Cell[BoxData[{
RowBox[{
RowBox[{"ap", "[",
RowBox[{
RowBox[{"ap", "[",
RowBox[{"trm_", ",",
RowBox[{"{", "args1__", "}"}]}], "]"}], ",",
RowBox[{"{", "args2__", "}"}]}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"trm", ",",
RowBox[{"{",
RowBox[{"args1", ",", "args2"}], "}"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{"termStr", "[", "x_Integer", "]"}], ":=",
RowBox[{"ToString", "@", "x"}]}], "\n",
RowBox[{
RowBox[{"termStr", "[", "x_String", "]"}], ":=", "x"}], "\n",
RowBox[{
RowBox[{"termStr", "[",
RowBox[{"ap", "[",
RowBox[{"trm_", ",",
RowBox[{"{", "args__", "}"}]}], "]"}], "]"}], ":=",
RowBox[{"\"\<(\>\"", "<>",
RowBox[{"StringRiffle", "[",
RowBox[{
RowBox[{"termStr", "/@",
RowBox[{"{",
RowBox[{"trm", ",", "args"}], "}"}]}], ",", "\"\< \>\""}], "]"}],
"<>", "\"\<)\>\""}]}], "\n",
RowBox[{
RowBox[{"tup", "[",
RowBox[{"x___", ",",
RowBox[{"tup", "[", "z__", "]"}]}], "]"}], ":=",
RowBox[{"tup", "[",
RowBox[{"x", ",", "z"}], "]"}]}], "\n",
RowBox[{
RowBox[{"termStr", "[",
RowBox[{"tup", "[", "x__", "]"}], "]"}], ":=",
RowBox[{"\"\<(\>\"", "<>",
RowBox[{"StringRiffle", "[",
RowBox[{
RowBox[{"termStr", "/@",
RowBox[{"{", "x", "}"}]}], ",", "\"\<, \>\""}], "]"}], "<>",
"\"\<)\>\""}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"termStr", "[",
RowBox[{"eq", "[",
RowBox[{"x_", ",", "y_"}], "]"}], "]"}], ":=",
RowBox[{
RowBox[{"termStr", "[", "x", "]"}], "<>", "\"\< = \>\"", "<>",
RowBox[{"termStr", "[", "y", "]"}], "<>", "\"\<;\>\""}]}],
"\[IndentingNewLine]"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"eqTrm", "[",
RowBox[{"X_", "\[CircleTimes]", "Y_"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<prodEq\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"eqTrm", "[", "X", "]"}], ",",
RowBox[{"eqTrm", "[", "Y", "]"}]}], "}"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{"eqTrm", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<sumEq\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"eqTrm", "[", "X", "]"}], ",",
RowBox[{"eqTrm", "[", "Y", "]"}]}], "}"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{"eqTrm", "[", "$1", "]"}], ":=", "\"\<unitEq\>\""}], "\n",
RowBox[{
RowBox[{"eqTrm", "[", "$0", "]"}], ":=", "\"\<emptyEq\>\""}], "\n",
RowBox[{
RowBox[{"eqTrm", "[", "$N", "]"}], ":=",
"\"\<intEq\>\""}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"eqTrm", "[", "$L", "]"}], ":=", "\"\<listEq\>\""}]}], "Input",
CellChangeTimes->{{3.889257419435378*^9, 3.88925741943576*^9}, {
3.889258203012187*^9, 3.889258219493967*^9}},
CellLabel->"In[54]:=",ExpressionUUID->"dfadea89-3b09-4bc3-b6a6-45a2596060bd"],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"funConv", "[", "$1", "]"}], "[", "x_", "]"}], ":=", "0"}], "\n",
RowBox[{
RowBox[{
RowBox[{"funConv", "[", "$C", "]"}], "[", "x_", "]"}], ":=", "x"}], "\n",
RowBox[{
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[",
RowBox[{"inl", "[", "x_", "]"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<inl\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"funConv", "[", "X", "]"}], "[", "x", "]"}], "}"}]}], "]"}]}],
"\n",
RowBox[{
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"X_", "\[CirclePlus]", "Y_"}], "]"}], "[",
RowBox[{"inr", "[", "y_", "]"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<inl\>\"", ",",
RowBox[{"{",
RowBox[{
RowBox[{"funConv", "[", "Y", "]"}], "[", "y", "]"}], "}"}]}], "]"}]}],
"\n",
RowBox[{
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"X_", "\[CircleTimes]", "Y_"}], "]"}], "[",
RowBox[{"{",
RowBox[{"x_", ",", "y_"}], "}"}], "]"}], ":=",
RowBox[{"tup", "[",
RowBox[{
RowBox[{
RowBox[{"funConv", "[", "X", "]"}], "[", "x", "]"}], ",",
RowBox[{
RowBox[{"funConv", "[", "Y", "]"}], "[", "y", "]"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{"listConv", "[",
RowBox[{"{", "}"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<inl\>\"", ",",
RowBox[{"{", "0", "}"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{"listConv", "[",
RowBox[{"{",
RowBox[{"x_", ",", "xs___"}], "}"}], "]"}], ":=",
RowBox[{"ap", "[",
RowBox[{"\"\<inr\>\"", ",",
RowBox[{"{",
RowBox[{"tup", "[",
RowBox[{"x", ",",
RowBox[{"listConv", "[",
RowBox[{"{", "xs", "}"}], "]"}]}], "]"}], "}"}]}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{"funConv", "[",
RowBox[{"$L", "[", "X_", "]"}], "]"}], "[", "l_", "]"}], ":=",
RowBox[{"listConv", "[",
RowBox[{
RowBox[{"funConv", "[", "X", "]"}], "/@", "l"}], "]"}]}],
"\[IndentingNewLine]", "\n"}]}]], "Input",
CellChangeTimes->{{3.88925740661909*^9, 3.8892574066194696`*^9}, {
3.889258218157164*^9, 3.889258227444976*^9}},
CellLabel->"In[67]:=",ExpressionUUID->"22639eda-ab12-490a-948f-73efaa706062"],
Cell[BoxData[""], "Input",
CellChangeTimes->{{3.88925739262636*^9, 3.8892573926267853`*^9}, {
3.889258228893162*^9,
3.889258243653344*^9}},ExpressionUUID->"e9aa0173-1871-4497-87c2-\
731cb345f401"],
Cell[BoxData[
RowBox[{"\n", "\n"}]], "Input",
CellChangeTimes->{{3.889257367978035*^9, 3.8892573679785633`*^9},
3.889258202035614*^9, {3.8892582326932898`*^9,
3.889258236420972*^9}},ExpressionUUID->"af0d328b-56a4-4fcf-a686-\
d51ec260a3a8"],
Cell[BoxData[
RowBox[{"\[IndentingNewLine]", "\[IndentingNewLine]"}]], "Input",
CellChangeTimes->{{3.889258088807831*^9,
3.889258089110301*^9}},ExpressionUUID->"a11c4b37-8e37-409a-9dca-\
d7239a11a5f4"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"StringRiffle", "[",
RowBox[{
RowBox[{"termStr", "/@",
RowBox[{"qsCheck", "[",
RowBox[{"{",
RowBox[{
"9", ",", "4", ",", "0", ",", "5", ",", "3", ",", "2", ",", "7", ",",
"8", ",", "6", ",", "1"}], "}"}], "]"}]}], ",", "\"\<\\n\>\""}],
"]"}]], "Input",
CellChangeTimes->{{3.889257377497094*^9, 3.889257377497533*^9}},
CellLabel->"In[75]:=",ExpressionUUID->"77e7e6a0-66a7-4427-aff8-b7ef0e36fab7"],
Cell[BoxData["\<\"(listEq termStr[listConv[inl[tt]]] (inl 0)) = 1;\\n(sumEq \
unitEq (prodEq intEq (prodEq listEq listEq)) (inl 0) (inl 0)) = \
1;\\n(concatAlgCheck (inr (0, (inr (1, (inr (2, (inr (3, (inl 0))))))))) (inl \
0) (inr (0, (inr (1, (inr (2, (inr (3, (inl 0)))))))))) = 1;\\n(listEq (inr \
(0, (inr (1, (inr (2, (inr (3, (inl 0))))))))) (inr (0, (inr (1, (inr (2, \
(inr (3, (inl 0)))))))))) = 1;\\n(concatAlgCheck (inr (1, (inl 0))) (inl 0) \
(inr (1, (inl 0)))) = 1;\\n(listEq (inr (1, (inl 0))) (inr (1, (inl 0)))) = \
1;\\n(concatAlgCheck (inr (5, (inr (6, (inr (7, (inr (8, (inl 0))))))))) (inl \
0) (inr (5, (inr (6, (inr (7, (inr (8, (inl 0)))))))))) = 1;\\n(listEq (inr \
(5, (inr (6, (inr (7, (inr (8, (inl 0))))))))) (inr (5, (inr (6, (inr (7, \
(inr (8, (inl 0)))))))))) = 1;\\n(concatAlgCheck (inr (6, (inl 0))) (inl 0) \
(inr (6, (inl 0)))) = 1;\\n(listEq (inr (6, (inl 0))) (inr (6, (inl 0)))) = \
1;\\n(concatAlgCheck (inr (8, (inl 0))) (inl 0) (inr (8, (inl 0)))) = \
1;\\n(listEq (inr (8, (inl 0))) (inr (8, (inl 0)))) = 1;\\n(filterAlgCheck 1 \
(inl 0) ((inl 0), (inl 0))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq \
listEq)) (inl (1, (inl 0), (inl 0))) (inl (1, (inl 0), (inl 0)))) = \
1;\\n(filterAlgCheck 6 (inl 0) ((inl 0), (inl 0))) = 1;\\n(sumEq unitEq \
(prodEq intEq (prodEq listEq listEq)) (inl (6, (inl 0), (inl 0))) (inl (6, \
(inl 0), (inl 0)))) = 1;\\n(filterAlgCheck 8 (inl 0) ((inl 0), (inl 0))) = 1;\
\\n(sumEq unitEq (prodEq intEq (prodEq listEq listEq)) (inl (8, (inl 0), (inl \
0))) (inl (8, (inl 0), (inl 0)))) = 1;\\n(concatAlgCheck (inr (2, (inl 0))) \
(inl 0) (inr (2, (inl 0)))) = 1;\\n(concatAlgCheck (inr (2, (inl 0))) (inl \
(1, (inr (2, (inl 0))))) (inr (1, (inr (2, (inl 0)))))) = 1;\\n(listEq (inr \
(1, (inr (2, (inl 0))))) (inr (1, (inr (2, (inl 0)))))) = \
1;\\n(concatAlgCheck (inr (7, (inr (8, (inl 0))))) (inl 0) (inr (7, (inr (8, \
(inl 0)))))) = 1;\\n(concatAlgCheck (inr (7, (inr (8, (inl 0))))) (inl (6, \
(inr (7, (inr (8, (inl 0))))))) (inr (6, (inr (7, (inr (8, (inl 0)))))))) = \
1;\\n(listEq (inr (6, (inr (7, (inr (8, (inl 0))))))) (inr (6, (inr (7, (inr \
(8, (inl 0)))))))) = 1;\\n(filterAlgCheck 2 (inl 0) ((inl 0), (inl 0))) = \
1;\\n(filterAlgCheck 2 (inl (1, (inl 0), (inl 0))) ((inr (1, (inl 0))), (inl \
0))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq listEq)) (inl (2, (inr \
(1, (inl 0))), (inl 0))) (inl (2, (inr (1, (inl 0))), (inl 0)))) = \
1;\\n(concatAlgCheck (inr (3, (inl 0))) (inl 0) (inr (3, (inl 0)))) = \
1;\\n(concatAlgCheck (inr (3, (inl 0))) (inl (1, (inr (2, (inr (3, (inl \
0))))))) (inr (1, (inr (2, (inr (3, (inl 0)))))))) = 1;\\n(concatAlgCheck \
(inr (3, (inl 0))) (inl (2, (inr (3, (inl 0))))) (inr (2, (inr (3, (inl \
0)))))) = 1;\\n(listEq (inr (1, (inr (2, (inr (3, (inl 0))))))) (inr (1, (inr \
(2, (inr (3, (inl 0)))))))) = 1;\\n(filterAlgCheck 3 (inl 0) ((inl 0), (inl \
0))) = 1;\\n(filterAlgCheck 3 (inl (1, (inl 0), (inl 0))) ((inr (1, (inl \
0))), (inl 0))) = 1;\\n(filterAlgCheck 3 (inl (2, (inr (1, (inl 0))), (inl \
0))) ((inr (2, (inr (1, (inl 0))))), (inl 0))) = 1;\\n(sumEq unitEq (prodEq \
intEq (prodEq listEq listEq)) (inl (3, (inr (2, (inr (1, (inl 0))))), (inl \
0))) (inl (3, (inr (2, (inr (1, (inl 0))))), (inl 0)))) = \
1;\\n(filterAlgCheck 7 (inl 0) ((inl 0), (inl 0))) = 1;\\n(filterAlgCheck 7 \
(inl (6, (inl 0), (inl 0))) ((inr (6, (inl 0))), (inl 0))) = \
1;\\n(filterAlgCheck 7 (inl (8, (inr (6, (inl 0))), (inl 0))) ((inr (6, (inl \
0))), (inr (8, (inl 0))))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq \
listEq)) (inl (7, (inr (6, (inl 0))), (inr (8, (inl 0))))) (inl (7, (inr (6, \
(inl 0))), (inr (8, (inl 0)))))) = 1;\\n(filterAlgCheck 0 (inl 0) ((inl 0), \
(inl 0))) = 1;\\n(filterAlgCheck 0 (inl (1, (inl 0), (inl 0))) ((inl 0), (inr \
(1, (inl 0))))) = 1;\\n(filterAlgCheck 0 (inl (2, (inl 0), (inr (1, (inl \
0))))) ((inl 0), (inr (2, (inr (1, (inl 0))))))) = 1;\\n(filterAlgCheck 0 \
(inl (3, (inl 0), (inr (2, (inr (1, (inl 0))))))) ((inl 0), (inr (3, (inr (2, \
(inr (1, (inl 0))))))))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq \
listEq)) (inl (0, (inl 0), (inr (3, (inr (2, (inr (1, (inl 0))))))))) (inl \
(0, (inl 0), (inr (3, (inr (2, (inr (1, (inl 0)))))))))) = \
1;\\n(filterAlgCheck 5 (inl 0) ((inl 0), (inl 0))) = 1;\\n(filterAlgCheck 5 \
(inl (6, (inl 0), (inl 0))) ((inl 0), (inr (6, (inl 0))))) = \
1;\\n(filterAlgCheck 5 (inl (7, (inl 0), (inr (8, (inr (6, (inl 0))))))) \
((inl 0), (inr (7, (inr (8, (inr (6, (inl 0))))))))) = 1;\\n(filterAlgCheck 5 \
(inl (8, (inl 0), (inr (6, (inl 0))))) ((inl 0), (inr (8, (inr (6, (inl \
0))))))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq listEq)) (inl (5, \
(inl 0), (inr (7, (inr (8, (inr (6, (inl 0))))))))) (inl (5, (inl 0), (inr \
(7, (inr (8, (inr (6, (inl 0)))))))))) = 1;\\n(concatAlgCheck (inr (4, (inr \
(5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))) (inl 0) (inr (4, (inr (5, \
(inr (6, (inr (7, (inr (8, (inl 0)))))))))))) = 1;\\n(concatAlgCheck (inr (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))) (inl (0, (inr (1, (inr \
(2, (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0))))))))))))))))))) (inr (0, (inr (1, (inr (2, (inr (3, (inr (4, (inr (5, \
(inr (6, (inr (7, (inr (8, (inl 0)))))))))))))))))))) = 1;\\n(concatAlgCheck \
(inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))) (inl (1, (inr \
(2, (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0))))))))))))))))) (inr (1, (inr (2, (inr (3, (inr (4, (inr (5, (inr (6, (inr \
(7, (inr (8, (inl 0)))))))))))))))))) = 1;\\n(concatAlgCheck (inr (4, (inr \
(5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))) (inl (2, (inr (3, (inr (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))))))) (inr (2, (inr (3, \
(inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl 0)))))))))))))))) = \
1;\\n(concatAlgCheck (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0))))))))))) (inl (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0))))))))))))) (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0)))))))))))))) = 1;\\n(listEq (inr (0, (inr (1, (inr (2, (inr (3, (inr (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inl 0))))))))))))))))))) (inr (0, (inr \
(1, (inr (2, (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inl \
0)))))))))))))))))))) = 1;\\n(filterAlgCheck 4 (inl 0) ((inl 0), (inl 0))) = \
1;\\n(filterAlgCheck 4 (inl (0, (inr (3, (inr (2, (inr (1, (inl 0))))))), \
(inr (5, (inr (7, (inr (8, (inr (6, (inl 0))))))))))) ((inr (0, (inr (3, (inr \
(2, (inr (1, (inl 0))))))))), (inr (5, (inr (7, (inr (8, (inr (6, (inl \
0))))))))))) = 1;\\n(filterAlgCheck 4 (inl (1, (inl 0), (inl 0))) ((inr (1, \
(inl 0))), (inl 0))) = 1;\\n(filterAlgCheck 4 (inl (2, (inr (1, (inl 0))), \
(inr (7, (inr (8, (inr (6, (inl 0))))))))) ((inr (2, (inr (1, (inl 0))))), \
(inr (7, (inr (8, (inr (6, (inl 0))))))))) = 1;\\n(filterAlgCheck 4 (inl (3, \
(inr (2, (inr (1, (inl 0))))), (inr (7, (inr (8, (inr (6, (inl 0))))))))) \
((inr (3, (inr (2, (inr (1, (inl 0))))))), (inr (7, (inr (8, (inr (6, (inl \
0))))))))) = 1;\\n(filterAlgCheck 4 (inl (5, (inr (3, (inr (2, (inr (1, (inl \
0))))))), (inr (7, (inr (8, (inr (6, (inl 0))))))))) ((inr (3, (inr (2, (inr \
(1, (inl 0))))))), (inr (5, (inr (7, (inr (8, (inr (6, (inl 0))))))))))) = 1;\
\\n(filterAlgCheck 4 (inl (6, (inr (1, (inl 0))), (inl 0))) ((inr (1, (inl \
0))), (inr (6, (inl 0))))) = 1;\\n(filterAlgCheck 4 (inl (7, (inr (1, (inl \
0))), (inr (8, (inr (6, (inl 0))))))) ((inr (1, (inl 0))), (inr (7, (inr (8, \
(inr (6, (inl 0))))))))) = 1;\\n(filterAlgCheck 4 (inl (8, (inr (1, (inl \
0))), (inr (6, (inl 0))))) ((inr (1, (inl 0))), (inr (8, (inr (6, (inl \
0))))))) = 1;\\n(sumEq unitEq (prodEq intEq (prodEq listEq listEq)) (inl (4, \
(inr (0, (inr (3, (inr (2, (inr (1, (inl 0))))))))), (inr (5, (inr (7, (inr \
(8, (inr (6, (inl 0))))))))))) (inl (4, (inr (0, (inr (3, (inr (2, (inr (1, \
(inl 0))))))))), (inr (5, (inr (7, (inr (8, (inr (6, (inl 0)))))))))))) = \
1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl 0) (inr (9, (inl 0)))) = \
1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (0, (inr (1, (inr (2, (inr (3, \
(inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0))))))))))))))))))))) (inr (0, (inr (1, (inr (2, (inr (3, (inr (4, (inr (5, \
(inr (6, (inr (7, (inr (8, (inr (9, (inl 0)))))))))))))))))))))) = \
1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (1, (inr (2, (inr (3, (inr (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl 0))))))))))))))))))) (inr \
(1, (inr (2, (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, \
(inl 0)))))))))))))))))))) = 1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (2, \
(inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0))))))))))))))))) (inr (2, (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr \
(8, (inr (9, (inl 0)))))))))))))))))) = 1;\\n(concatAlgCheck (inr (9, (inl \
0))) (inl (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0))))))))))))))) (inr (3, (inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr \
(9, (inl 0)))))))))))))))) = 1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl 0))))))))))))) (inr (4, \
(inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl 0)))))))))))))) = \
1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (5, (inr (6, (inr (7, (inr (8, \
(inr (9, (inl 0))))))))))) (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0)))))))))))) = 1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (6, (inr (7, \
(inr (8, (inr (9, (inl 0))))))))) (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0)))))))))) = 1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (7, (inr (8, (inr \
(9, (inl 0))))))) (inr (7, (inr (8, (inr (9, (inl 0)))))))) = \
1;\\n(concatAlgCheck (inr (9, (inl 0))) (inl (8, (inr (9, (inl 0))))) (inr \
(8, (inr (9, (inl 0)))))) = 1;\\n(listEq (inr (0, (inr (1, (inr (2, (inr (3, \
(inr (4, (inr (5, (inr (6, (inr (7, (inr (8, (inr (9, (inl \
0))))))))))))))))))))) (inr (0, (inr (1, (inr (2, (inr (3, (inr (4, (inr (5, \
(inr (6, (inr (7, (inr (8, (inr (9, (inl 0)))))))))))))))))))))) = \
1;\\n(filterAlgCheck 9 (inl 0) ((inl 0), (inl 0))) = 1;\\n(filterAlgCheck 9 \
(inl (0, (inr (5, (inr (3, (inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl \
0))))))))))))))), (inl 0))) ((inr (0, (inr (5, (inr (3, (inr (2, (inr (7, \
(inr (8, (inr (6, (inr (1, (inl 0))))))))))))))))), (inl 0))) = \
1;\\n(filterAlgCheck 9 (inl (1, (inl 0), (inl 0))) ((inr (1, (inl 0))), (inl \
0))) = 1;\\n(filterAlgCheck 9 (inl (2, (inr (7, (inr (8, (inr (6, (inr (1, \
(inl 0))))))))), (inl 0))) ((inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl \
0))))))))))), (inl 0))) = 1;\\n(filterAlgCheck 9 (inl (3, (inr (2, (inr (7, \
(inr (8, (inr (6, (inr (1, (inl 0))))))))))), (inl 0))) ((inr (3, (inr (2, \
(inr (7, (inr (8, (inr (6, (inr (1, (inl 0))))))))))))), (inl 0))) = \
1;\\n(filterAlgCheck 9 (inl (4, (inr (0, (inr (5, (inr (3, (inr (2, (inr (7, \
(inr (8, (inr (6, (inr (1, (inl 0))))))))))))))))), (inl 0))) ((inr (4, (inr \
(0, (inr (5, (inr (3, (inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl \
0))))))))))))))))))), (inl 0))) = 1;\\n(filterAlgCheck 9 (inl (5, (inr (3, \
(inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl 0))))))))))))), (inl 0))) \
((inr (5, (inr (3, (inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl \
0))))))))))))))), (inl 0))) = 1;\\n(filterAlgCheck 9 (inl (6, (inr (1, (inl \
0))), (inl 0))) ((inr (6, (inr (1, (inl 0))))), (inl 0))) = \
1;\\n(filterAlgCheck 9 (inl (7, (inr (8, (inr (6, (inr (1, (inl 0))))))), \
(inl 0))) ((inr (7, (inr (8, (inr (6, (inr (1, (inl 0))))))))), (inl 0))) = \
1;\\n(filterAlgCheck 9 (inl (8, (inr (6, (inr (1, (inl 0))))), (inl 0))) \
((inr (8, (inr (6, (inr (1, (inl 0))))))), (inl 0))) = 1;\\n(sumEq unitEq \
(prodEq intEq (prodEq listEq listEq)) (inl (9, (inr (4, (inr (0, (inr (5, \
(inr (3, (inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl \
0))))))))))))))))))), (inl 0))) (inl (9, (inr (4, (inr (0, (inr (5, (inr (3, \
(inr (2, (inr (7, (inr (8, (inr (6, (inr (1, (inl 0))))))))))))))))))), (inl \
0)))) = 1;\"\>"], "Output",
CellChangeTimes->{{3.88925738510716*^9, 3.889257423762768*^9},
3.889257877273889*^9, 3.88925808607612*^9, 3.889258463345562*^9},
CellLabel->"Out[75]=",ExpressionUUID->"4c6a73a9-b7b7-4dde-9e17-23f8b37f1ef2"]
}, Open ]]
},
WindowSize->{1384.5, 762.},
WindowMargins->{{0, Automatic}, {0, Automatic}},
FrontEndVersion->"13.0 for Linux x86 (64-bit) (February 4, 2022)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"eb777eab-a818-4d72-826f-e1b69567b79e"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 1527, 50, 113, "Input",ExpressionUUID->"50f13cbc-3355-449d-b9d7-213289424d01"],
Cell[2088, 72, 497, 13, 29, "Input",ExpressionUUID->"24116713-3540-4c06-8a37-1d2a169da577"],
Cell[2588, 87, 514, 14, 51, "Input",ExpressionUUID->"2cc8e3b0-a564-476b-883e-35fbe0cacd50"],
Cell[3105, 103, 493, 13, 51, "Input",ExpressionUUID->"ce8c6ad0-379e-4a62-9bdd-54c6ca97ca9a"],
Cell[CellGroupData[{
Cell[3623, 120, 446, 11, 29, "Input",ExpressionUUID->"ecb0ca89-3573-4f31-9928-408269c40209"],
Cell[4072, 133, 251, 5, 33, "Output",ExpressionUUID->"86b64a36-27c1-491c-812f-f2ceaf6f04ac"]
}, Open ]],
Cell[4338, 141, 949, 29, 51, "Input",ExpressionUUID->"84207c56-cdae-499f-a7ed-e0b6f118cb54"],
Cell[CellGroupData[{
Cell[5312, 174, 430, 11, 29, "Input",ExpressionUUID->"37b7ffda-4dd2-4cbd-96d9-264d698aa239"],
Cell[5745, 187, 348, 9, 33, "Output",ExpressionUUID->"e6e420e2-79d2-41fa-b199-a1e78a5f5e9f"]
}, Open ]],
Cell[6108, 199, 781, 22, 51, "Input",ExpressionUUID->"8eab05b6-14bf-48ad-bbf1-56d271069b99"],
Cell[CellGroupData[{
Cell[6914, 225, 295, 6, 29, "Input",ExpressionUUID->"59e6a7e5-e03c-4823-99c8-795cbaa1533d"],
Cell[7212, 233, 473, 13, 33, "Output",ExpressionUUID->"d12c2eff-e08f-48bf-b782-968f6d2c11d7"]
}, Open ]],
Cell[7700, 249, 1425, 42, 133, "Input",ExpressionUUID->"42bacf81-a553-4004-be13-5f696dbf3c7b"],
Cell[9128, 293, 478, 12, 29, "Input",ExpressionUUID->"cb180f76-efad-4546-8171-e493bd06f5a9"],
Cell[CellGroupData[{
Cell[9631, 309, 300, 5, 51, "Input",ExpressionUUID->"e46c5ea3-d1b4-4e15-a7d4-fe45cf9a6d09"],
Cell[9934, 316, 318, 7, 33, "Output",ExpressionUUID->"d444709a-5db7-4815-a73c-4e87d8143640"],
Cell[10255, 325, 320, 7, 33, "Output",ExpressionUUID->"4025de9f-2886-49ca-a77b-0571d8443c09"]
}, Open ]],
Cell[10590, 335, 255, 5, 113, "Input",ExpressionUUID->"4df5a252-098a-4ee2-b38e-12c17eae0e90"],
Cell[10848, 342, 3743, 117, 360, "Input",ExpressionUUID->"c19b0b75-a3e9-4129-8573-09959fa31b35"],
Cell[CellGroupData[{
Cell[14616, 463, 831, 21, 51, "Input",ExpressionUUID->"c0da4cf9-c27e-41db-8e36-684eed5a59c0"],
Cell[15450, 486, 2528, 85, 55, "Output",ExpressionUUID->"693e1144-1747-4f68-914a-2b9af4f37bee"],
Cell[17981, 573, 334, 7, 33, "Output",ExpressionUUID->"bbfa307b-11d6-4b8d-b528-100641a5ee35"]
}, Open ]],
Cell[CellGroupData[{
Cell[18352, 585, 658, 19, 51, "Input",ExpressionUUID->"83412c11-daa9-4dd8-801f-d15a19ebab3e"],
Cell[19013, 606, 1928, 64, 55, "Output",ExpressionUUID->"3d72b1db-bf56-4b4b-a857-5ec4de7b8250"],
Cell[20944, 672, 280, 6, 33, "Output",ExpressionUUID->"9ab3dbbb-3b2f-4207-8c09-9a3013110972"]
}, Open ]],
Cell[21239, 681, 232, 5, 92, "Input",ExpressionUUID->"dc2c987e-da65-4d7e-9438-5c2142734df4"],
Cell[21474, 688, 3186, 97, 195, "Input",ExpressionUUID->"b5d27807-25e0-423a-8417-2fea0be86823"],
Cell[24663, 787, 4641, 128, 236, "Input",ExpressionUUID->"16afc65a-0182-4851-a7f1-0e84755c2a4d"],
Cell[29307, 917, 175, 3, 29, "Input",ExpressionUUID->"461cd31d-22ad-4a86-b29f-5ab045a1d4e7"],
Cell[29485, 922, 210, 4, 71, "Input",ExpressionUUID->"a2c65c05-b0c3-48df-8345-826b9c0ad1fc"],
Cell[29698, 928, 2811, 82, 298, "Input",ExpressionUUID->"dfadea89-3b09-4bc3-b6a6-45a2596060bd"],
Cell[32512, 1012, 2391, 70, 236, "Input",ExpressionUUID->"22639eda-ab12-490a-948f-73efaa706062"],
Cell[34906, 1084, 202, 4, 29, "Input",ExpressionUUID->"e9aa0173-1871-4497-87c2-731cb345f401"],
Cell[35111, 1090, 249, 5, 71, "Input",ExpressionUUID->"af0d328b-56a4-4fcf-a686-d51ec260a3a8"],
Cell[35363, 1097, 206, 4, 71, "Input",ExpressionUUID->"a11c4b37-8e37-409a-9dca-d7239a11a5f4"],
Cell[CellGroupData[{
Cell[35594, 1105, 461, 11, 29, "Input",ExpressionUUID->"77e7e6a0-66a7-4427-aff8-b7ef0e36fab7"],
Cell[36058, 1118, 12288, 162, 2344, "Output",ExpressionUUID->"4c6a73a9-b7b7-4dde-9e17-23f8b37f1ef2"]
}, Open ]]
}
]
*)
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment