sympy-logic.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sympy import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "A, B, C, D, S = symbols(\"A B C D S\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "And(Or(A, B, C, Not(S)), Or(A, B, Not(C), S), Or(A, C, Not(B), S), Or(A, Not(B), Not(C), Not(S)), Or(B, C, Not(A), S), Or(B, Not(A), Not(C), Not(S)), Or(C, Not(A), Not(B), Not(S)), Or(Not(A), Not(B), Not(C), S))"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "to_cnf(Equivalent(Xor(A, B, C), S), simplify=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "And(Or(A, B, Not(D)), Or(A, C, Not(D)), Or(B, C, Not(D)), Or(D, Not(A), Not(B)), Or(D, Not(A), Not(C)), Or(D, Not(B), Not(C)))"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "to_cnf(Equivalent(Or(And(A, B), And(B, C), And(A, C)), D), simplify=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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