L04.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grammatiche e derivazioni\n",
    "\n",
    "## Tipo 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from liblet import Grammar, iter2table, Derivation, ProductionGraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig 2.3, pag. 14\n",
    "\n",
    "type0 = \"\"\"\n",
    "Sentence -> Name | List End\n",
    "List -> Name | Name , List\n",
    "Name -> tom | dick | harry\n",
    ", Name End -> and Name\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Grammar(N={End, List, Name, Sentence}, T={,, and, dick, harry, tom}, P=(Sentence -> Name, Sentence -> List End, List -> Name, List -> Name , List, Name -> tom, Name -> dick, Name -> harry, , Name End -> and Name), S=Sentence)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G_type0 = Grammar.from_string(type0, False)\n",
    "G_type0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>0<td style=\"text-align:left\"><pre>Sentence -> Name</pre>\n",
       "<tr><th>1<td style=\"text-align:left\"><pre>Sentence -> List End</pre>\n",
       "<tr><th>2<td style=\"text-align:left\"><pre>List -> Name</pre>\n",
       "<tr><th>3<td style=\"text-align:left\"><pre>List -> Name , List</pre>\n",
       "<tr><th>4<td style=\"text-align:left\"><pre>Name -> tom</pre>\n",
       "<tr><th>5<td style=\"text-align:left\"><pre>Name -> dick</pre>\n",
       "<tr><th>6<td style=\"text-align:left\"><pre>Name -> harry</pre>\n",
       "<tr><th>7<td style=\"text-align:left\"><pre>, Name End -> and Name</pre></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iter2table(G_type0.P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Sentence -> List End -> Name , List End -> Name , Name , List End -> Name , Name , Name End -> Name , Name and Name -> tom , Name and Name -> tom , dick and Name -> tom , dick and harry"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = Derivation(G_type0).step(1, 0).step(3, 0).step(3, 2).step(2, 4).step(7, 3).step(4, 0).step(5, 2).step(6, 4)\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       "<text text-anchor=\"middle\" x=\"291.7588\" y=\"-6.8\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">harry</text>\n",
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       "<path fill=\"none\" stroke=\"#000000\" stroke-width=\".5\" d=\"M262.7928,-160.4519C266.4028,-156.7814 274.1698,-148.884 280.753,-142.1904\"/>\n",
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       "<!-- 1055116047931949336 -->\n",
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       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "ProductionGraph(Sentence -> List End -> Name , List End -> Name , Name , List End -> Name , Name , Name End -> Name , Name and Name -> tom , Name and Name -> tom , dick and Name -> tom , dick and harry)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ProductionGraph(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tipo 1\n",
    "\n",
    "### Monotone"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# pag 20\n",
    "\n",
    "monotonic = \"\"\"\n",
    "Sentence -> Name | List\n",
    "List -> EndName | Name , List\n",
    "Name -> tom | dick | harry\n",
    ", EndName -> and Name\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Context-sentitive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# pag 20\n",
    "\n",
    "context_sensitive = \"\"\"\n",
    "Sentence -> Name | List\n",
    "List -> EndName | Name Comma List\n",
    "Name -> tom | dick | harry\n",
    "Comma EndName -> and EndName\n",
    "and EndName -> and Name\n",
    "Comma -> ,\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Grammar(N={Comma, EndName, List, Name, Sentence}, T={,, and, dick, harry, tom}, P=(Sentence -> Name, Sentence -> List, List -> EndName, List -> Name Comma List, Name -> tom, Name -> dick, Name -> harry, Comma EndName -> and EndName, and EndName -> and Name, Comma -> ,), S=Sentence)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G_cs = Grammar.from_string(context_sensitive, False)\n",
    "G_cs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>0<td style=\"text-align:left\"><pre>Sentence -> Name</pre>\n",
       "<tr><th>1<td style=\"text-align:left\"><pre>Sentence -> List</pre>\n",
       "<tr><th>2<td style=\"text-align:left\"><pre>List -> EndName</pre>\n",
       "<tr><th>3<td style=\"text-align:left\"><pre>List -> Name Comma List</pre>\n",
       "<tr><th>4<td style=\"text-align:left\"><pre>Name -> tom</pre>\n",
       "<tr><th>5<td style=\"text-align:left\"><pre>Name -> dick</pre>\n",
       "<tr><th>6<td style=\"text-align:left\"><pre>Name -> harry</pre>\n",
       "<tr><th>7<td style=\"text-align:left\"><pre>Comma EndName -> and EndName</pre>\n",
       "<tr><th>8<td style=\"text-align:left\"><pre>and EndName -> and Name</pre>\n",
       "<tr><th>9<td style=\"text-align:left\"><pre>Comma -> ,</pre></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iter2table(G_cs.P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sentence -> List -> Name Comma List -> Name Comma Name Comma List -> Name Comma Name Comma EndName -> Name Comma Name and EndName -> Name Comma Name and Name -> tom Comma Name and Name -> tom Comma dick and Name -> tom Comma dick and harry -> tom , dick and harry\n"
     ]
    },
    {
     "data": {
      "image/png": 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       "<!-- &#45;2070413558012883906 -->\n",
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       "<!-- &#45;8875552944915134616 -->\n",
       "<!-- &#45;2070413558012883906&#45;&gt;&#45;8875552944915134616 -->\n",
       "<!-- &#45;3459391570001442096 -->\n",
       "<!-- &#45;8875552944915134616&#45;&gt;&#45;3459391570001442096 -->\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "ProductionGraph(Sentence -> List -> Name Comma List -> Name Comma Name Comma List -> Name Comma Name Comma EndName -> Name Comma Name and EndName -> Name Comma Name and Name -> tom Comma Name and Name -> tom Comma dick and Name -> tom Comma dick and harry -> tom , dick and harry)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = Derivation(G_cs).step(1, 0).step(3, 0).step(3, 2).step(2, 4).step(7, 3).step(8, 3).step(4, 0).step(5, 2).step(6, 4).step(9, 1)\n",
    "print(d)\n",
    "ProductionGraph(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intermezzo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fig. 2.7, pag. 22\n",
    "\n",
    "anbncn = \"\"\"\n",
    "S -> a b c\n",
    "S -> a S Q\n",
    "b Q c -> b b c c\n",
    "c Q -> Q c\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>0<td style=\"text-align:left\"><pre>S -> a b c</pre>\n",
       "<tr><th>1<td style=\"text-align:left\"><pre>S -> a S Q</pre>\n",
       "<tr><th>2<td style=\"text-align:left\"><pre>b Q c -> b b c c</pre>\n",
       "<tr><th>3<td style=\"text-align:left\"><pre>c Q -> Q c</pre></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G_anbncn = Grammar.from_string(anbncn, False)\n",
    "iter2table(G_anbncn.P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S -> a S Q -> a a S Q Q -> a a a b c Q Q -> a a a b Q c Q -> a a a b b c c Q -> a a a b b c Q c -> a a a b b Q c c -> a a a b b b c c c\n"
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      "text/plain": [
       "ProductionGraph(S -> a S Q -> a a S Q Q -> a a a b c Q Q -> a a a b Q c Q -> a a a b b c c Q -> a a a b b c Q c -> a a a b b Q c c -> a a a b b b c c c)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = d = Derivation(G_anbncn).step(1, 0).step(1, 1).step(0, 2).step(3, 4).step(2, 3).step(3, 6).step(3, 5).step(2, 4)\n",
    "print(d)\n",
    "ProductionGraph(d)"
   ]
  }
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