{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "febc5f8f", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from pylab import *\n", "import pydot" ] }, { "cell_type": "markdown", "id": "d2bbf484", "metadata": {}, "source": [ "# An FST Data Structure" ] }, { "cell_type": "markdown", "id": "d1d9cb7f", "metadata": {}, "source": [ "There is a close correspondence between regular languages, regular expressions, and finite state machines.\n", "\n", "A finite state machine is a directed graph.\n", "\n", "Alternatively, it is a collection of states (nodes) and transitions (edges), where each\n", "edge consists of a start state, an end state, and a label.\n", "\n", "Finally, we can also view an FST as a sparse matrix, where the columns represent\n", "the old state, the rows represent the new state, and the entries may represent labels\n", "or costs.\n", "\n", "Wildcard handling (\".\") can work differently; here we use a choice that is different\n", "from normal regular expressions: \".\" only matches if nothing else matches." ] }, { "cell_type": "code", "execution_count": 103, "id": "71a16fa0", "metadata": { "collapsed": false }, "outputs": [], "source": [ "class Graph:\n", " def __init__(self):\n", " self.states = []\n", " self.acceptors = set()\n", " def state(self):\n", " self.states.append([])\n", " return len(self.states)-1\n", " def accept(self,i):\n", " self.acceptors.add(i)\n", " def accepted(self,i):\n", " return i in self.acceptors\n", " def add(self,i,j,c):\n", " self.states[i].append((c,j))\n", " def expand(self,i,q):\n", " result = []\n", " for c,j in self.states[i]:\n", " if c==q: result.append(j)\n", " if result==[]:\n", " for c,j in self.states[i]:\n", " if c==\".\": result.append(j)\n", " return result\n", " " ] }, { "cell_type": "markdown", "id": "6ae70bf2", "metadata": {}, "source": [ "Here is a useful little function for plotting these graphs." ] }, { "cell_type": "code", "execution_count": 104, "id": "e35e4478", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def show(g,rankdir=\"LR\"):\n", " graph = pydot.Dot(rankdir=rankdir)\n", " for i,s in enumerate(g.states):\n", " if g.accepted(i): \n", " graph.add_node(pydot.Node(str(i),color=\"red\",penwidth=\"3\"))\n", " for c,j in s:\n", " graph.add_edge(pydot.Edge(str(i),str(j),label=str(c)))\n", " graph.write_png(\"/tmp/_test.png\")\n", " gca().set_xticks([]); gca().set_yticks([])\n", " imshow(imread(\"/tmp/_test.png\"))" ] }, { "cell_type": "markdown", "id": "4e180b35", "metadata": {}, "source": [ "# Translating a RE to an FST" ] }, { "cell_type": "markdown", "id": "3f6a502a", "metadata": {}, "source": [ "Let's start with a very simple graph.\n", "\n", "This graph corresponds to the regular expression `^ab*c$`.\n", "\n", "Note the accept state (in red). The start state is always 0 in our graphs." ] }, { "cell_type": "code", "execution_count": 105, "id": "006130ed", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6kSikVguv9AGZE8Gcnp7mq6++Yvfu3SiKwo4dO9i4cSNRUVFz8fCPNTqdjtTU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\nP/Iv//Iv2Gw2fvzjHxN4e6q05I60trb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01xNBenMj7ine34uAfem+58/a2hJbuZomQnB3\nV2z77u2JValEA0h7eyJIf/MOyJsKzOc8Pj7CcRxMp1NMJhM4jgPHceB53pMrcSmVSiGdTiORSEBV\nVaiqilwuh1wuB13XkclkNupYC22W5XKJ+XyO8Xgc1up0OsVsNkMQBFgsFk/qNZlMhjWbTqehaRo0\nTXtSt9xapdjkoFC7LZ6i02qJEP3+Xdx3fHiI7knK+5KeJwZ7giBa6xmRSETr3bvoPmc6Lb4riugS\ndV10jaUScHgoBnnqdRGcf0AN/y8Ck4iIfoHRSHSf3a44/nF/L7Z1ZQe6WIglA1RSlCggczlx1KNY\nFC+6fv9eHFmpVH7pEZDXwMAkIqJ4Hh+jznK5FN3lchmt5wZ45ICQnHCVAzryiUIyTF95aOdnMTCJ\niIhieCn7OCpHREQUw4uPHuEQARERkfBsYHI7loiIKMItWSIiohgYmERERDEwMImIiGJgYBIREcXA\nwCQiIoqBgUlERBTDX0QebxlZ3QlLAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = Graph()\n", "for i in range(3): g.state()\n", "g.add(0,1,\"a\")\n", "g.add(1,1,\"b\")\n", "g.add(1,2,\"c\")\n", "g.accept(2)\n", "figsize(8,8)\n", "show(g)" ] }, { "cell_type": "markdown", "id": "57c132e8", "metadata": {}, "source": [ "Here is a simple matching algorithm.\n", "This algorithm requires that the FSA be deterministic,\n", "i.e., that for a given input sequence, there is only a single\n", "expanded state." ] }, { "cell_type": "code", "execution_count": 124, "id": "1d3ba294", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def match(g,s):\n", " state = 0\n", " for c in s:\n", " states = g.expand(state,c)\n", " #print state,states,c\n", " if states==[]: return False\n", " if len(states)>1: raise Exception(\"non-deterministic\")\n", " state = states[0]\n", " return g.accepted(state)" ] }, { "cell_type": "code", "execution_count": 125, "id": "d767743b", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "True\n", "True\n" ] } ], "source": [ "print match(g,\"abc\")\n", "print match(g,\"ac\")\n", "print match(g,\"abbbbc\")" ] }, { "cell_type": "code", "execution_count": 126, "id": "ef654a5b", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "False\n" ] } ], "source": [ "print match(g,\"aabc\")\n", "print match(g,\"abbbccc\")" ] }, { "cell_type": "markdown", "id": "876b5c30", "metadata": {}, "source": [ "# Wildcards" ] }, { "cell_type": "code", "execution_count": 127, "id": "f59010cb", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bt/LKK6+Qlpb2tX7+JQ+YDoeDgwcP8oc//IGKigpMJhM//OEP2bRpEwaD4ZE5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\nQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = Graph()\n", "for i in range(4): g.state()\n", "g.add(0,1,\"a\")\n", "g.add(1,2,\".\")\n", "g.add(2,1,\".\")\n", "g.add(1,3,\"c\")\n", "g.accept(3)\n", "figsize(8,8)\n", "show(g)" ] }, { "cell_type": "code", "execution_count": 130, "id": "c11e744c", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "False\n", "True\n", "False\n" ] } ], "source": [ "print match(g,\"ac\")\n", "print match(g,\"abc\")\n", "print match(g,\"abbc\")\n", "print match(g,\"abbbc\")" ] }, { "cell_type": "markdown", "id": "13ef8cbe", "metadata": {}, "source": [ "# Building an FST as a Trie" ] }, { "cell_type": "code", "execution_count": 85, "id": "22b825d8", "metadata": { "collapsed": false }, "outputs": [], "source": [ "words = sorted(\"\"\"\n", " time person year way day thing\n", " man world life hand part child\n", " eye woman place work week\n", " case point government company\n", " number group problem fact\n", "\"\"\".split())" ] }, { "cell_type": "code", "execution_count": 86, "id": "6398a45e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "def build_trie(g,state,words,repeat=0):\n", " #print state,words\n", " if \"\" in words: \n", " g.accept(state)\n", " if repeat is not None:\n", " g.add(state,repeat,\" \")\n", " words = [w for w in words if w!=\"\"]\n", " if words==[]: return\n", " letters = sorted(list(set([w[0] for w in words])))\n", " for l in letters:\n", " substate = g.state()\n", " g.add(state,substate,l)\n", " subwords = [w[1:] for w in words if w[0]==l]\n", " build_trie(g,substate,subwords,repeat=repeat)\n", " " ] }, { "cell_type": "code", "execution_count": 87, "id": "d17e7134", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Gn376aYf3bn+ZRB8AUlJSEB4ejtWrV3e4jXv37uHDDz/EsWPHusXIYF5eHjZu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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = Graph()\n", "start = g.state()\n", "g.accept(start)\n", "build_trie(g,start,words,repeat=None)\n", "figsize(18,12)\n", "show(g,rankdir=\"TB\")" ] }, { "cell_type": "code", "execution_count": 89, "id": "f4793d95", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "False\n" ] } ], "source": [ "print match(g,\"hand\")\n", "print match(g,\"foot\")" ] }, { "cell_type": "code", "execution_count": 90, "id": "ae414fef", "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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w8PCAs7MzSktL0djYiKamJjQ3N0MgEMDd3R0BAQHo168f+vXrh6CgIPj5+d02IUWj0bCQ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\ncabzh9cjAgoW5MxSu3Zt1K9fn7cqAEwYqPPnheVl4ebNm7LK5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NCjRw+EhYXBWc3fG//R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\nBwAAgC4i6AMAAEAX+Q3Vqeg5sYL5UgAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = Graph()\n", "start = g.state()\n", "g.accept(start)\n", "build_trie(g,start,words,repeat=start)\n", "figsize(18,12)\n", "show(g,rankdir=\"TB\")" ] }, { "cell_type": "code", "execution_count": 94, "id": "8d48237c", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "False\n" ] } ], "source": [ "print match(g,\"hand time person year\")\n", "print match(g,\"hand time foot year\")" ] }, { "cell_type": "markdown", "id": "a52e82aa", "metadata": {}, "source": [ "Question: \n", "\n", "- what are equivalent regular expressions?\n", "- how would you translate `^.*\\L.*$`?" ] }, { "cell_type": "code", "execution_count": null, "id": "752e53d0", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }