twa: introduce exclusive_word() and exclusive_run()
* spot/twa/twa.cc, spot/twa/twa.hh: Add these methods. * NEWS, tests/python/contains.ipynb: Document them.
This commit is contained in:
Alexandre Duret-Lutz
parent
3c12015181
commit
4e8b35d7ca
4 changed files with 298 additions and 3 deletions
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@ -7,6 +7,7 @@
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"outputs": [],
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"source": [
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"import spot\n",
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"from spot.jupyter import display_inline\n",
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"spot.setup(show_default='.a')"
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]
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},
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@ -302,6 +303,215 @@
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"source": [
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"lcc.are_equivalent(f, g)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Help for distinguishing languages\n",
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"\n",
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"Assume you have computed two automata, that `are_equivalent(a1, a2)` returns `False`, and you want to know why. (This often occur when debugging some algorithm that produce an automaton that is not equivalent to which it should.) The automaton class has a method called `a1.exclusive_run(a2)` that can help with this task: it returns a run that recognizes a word is is accepted by one of the two automata but not by both. The method `a1.exclusive_run(a2)` will return just a word.\n",
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"\n",
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"For instance let's find a word that is exclusive between `aut_f` and `aut_g`. (The adjective *exlusive* is a reference to the *exclusive or* operator: the word belongs to L(aut_f) \"xor\" it belongs to L(aut_g).)"
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]
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"cell_type": "code",
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"execution_count": 16,
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"outputs": [
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{
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"data": {
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"text/plain": [
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"cycle{a; !a}"
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]
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},
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"execution_count": 16,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"aut_f.exclusive_word(aut_g)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"We can even write a small function that highlights one difference between two automata. Note that the `run` returned will belong to either `left` or `right`, so calling the `highlight()` method will colorize one of those two automata."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 34,
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"metadata": {},
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"outputs": [],
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"source": [
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"def show_one_difference(left, right):\n",
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" run = left.exclusive_run(right)\n",
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" if not run:\n",
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" print(\"The two automata are equivalent.\")\n",
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" else:\n",
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" print(\"The following word is only accepted by one automaton:\", spot.make_twa_word(run))\n",
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" run.highlight(5)\n",
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" display_inline(left, right)"
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]
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"The following word is only accepted by one automaton: cycle{!a; a; !a}\n"
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]
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},
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"source": [
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"show_one_difference(aut_f, aut_g)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 36,
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"metadata": {},
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"outputs": [
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{
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"ename": "NameError",
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"evalue": "name 'run' is not defined",
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"output_type": "error",
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"traceback": [
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"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m<ipython-input-36-d7d1b4bd9ffe>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mrun\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_aut\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
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"\u001b[0;31mNameError\u001b[0m: name 'run' is not defined"
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]
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}
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],
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"source": [
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"run.get_aut()"
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]
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},
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{
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"source": []
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}
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],
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"metadata": {
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@ -320,7 +530,7 @@
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.6.5"
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"version": "3.6.6"
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}
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},
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"nbformat": 4,
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