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spot/tests/python/automata.ipynb
Alexandre Duret-Lutz a738801edf product: optimize product with weak automata 
Fixes #350.

* spot/twaalgos/product.cc: Implement this change.
* NEWS, spot/twaalgos/product.hh: Mention it.
* spot/twa/acc.cc, spot/twa/acc.hh (acc_cond::sat_mark): New method.
* tests/python/_product_weak.ipynb: New file.
* tests/Makefile.am: Add it.
* tests/python/automata.ipynb, tests/python/highlighting.ipynb,
tests/python/product.ipynb, tests/core/prodor.test: Adjust test cases.
2018-05-23 22:07:50 +02:00

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{
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"source": [
"from IPython.display import display\n",
"import spot\n",
"from spot.jupyter import display_inline\n",
"spot.setup()"
]
},
{
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"To build an automaton, simply call `translate()` with a formula, and a list of options to characterize the automaton you want (those options have the same name as the long options name of the `ltl2tgba` tool, and they can be abbreviated)."
]
},
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"a.show(\"v\")"
]
},
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"source": [
"If you want to add some style options to the existing one, pass a dot to the `show()` function in addition to your own style options:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
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]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
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]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
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{
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{
"cell_type": "code",
"execution_count": 6,
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"f.translate('ba', 'small').show('.v')"
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{
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"source": [
"Here is how to build an unambiguous automaton:"
]
},
{
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},
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"%%file example1.aut\n",
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"--END--"
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"text/plain": [
"<spot.impl.twa_graph; proxy of <Swig Object of type 'std::shared_ptr< spot::twa_graph > *' at 0x7f16ec59cc90> >"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = spot.automaton('example1.aut')\n",
"display(a)\n",
"display(spot.remove_fin(a))\n",
"display(a.postprocess('TGBA', 'complete'))\n",
"display(a.postprocess('BA'))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"!rm example1.aut"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
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"source": [
"# Using +1 in the display options is a convient way to shift the \n",
"# set numbers in the output, as an aid in reading the product.\n",
"a1 = spot.translate('GF(a <-> Xa)')\n",
"print(a1.prop_weak())\n",
"a2 = spot.translate('a U b & GFc')\n",
"display_inline(a1.show('.t'), a2.show('.t+1'))\n",
"# the product should display pairs of states, unless asked not to (using '1').\n",
"p = spot.product(a1, a2)\n",
"display_inline(p.show('.t'), p.show('.t1'), per_row=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Explicit determinization after translation:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
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"source": [
"a = spot.translate('FGa')\n",
"display(a)\n",
"display(a.is_deterministic())"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
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]
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}
],
"source": [
"spot.translate('FGa', 'parity max odd', 'colored')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding an atomic proposition to all edges"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
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}
],
"source": [
"import buddy\n",
"display(a)\n",
"b = buddy.bdd_ithvar(a.register_ap('b'))\n",
"for e in a.edges():\n",
" e.cond &= b\n",
"display(a)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Adding an atomic proposition to the edge between 0 and 1:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
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},
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}
],
"source": [
"c = buddy.bdd_ithvar(a.register_ap('c'))\n",
"for e in a.out(0):\n",
" if e.dst == 1:\n",
" e.cond &= c\n",
"a"
]
}
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