ed04e2b421
* tests/python/ipnbdoctest.py: Adjust sanitize function. * tests/python/ltsmin-pml.ipynb: Adjust expected output.
669 lines
No EOL
39 KiB
Text
669 lines
No EOL
39 KiB
Text
{
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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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": "3.5.1"
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},
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"name": "",
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"signature": "sha256:07d2378b77f0b3c281fb9907deb011c1716ab64dab3726379c60ae42d5f4dd80"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"import spot\n",
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"import spot.ltsmin\n",
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"# The following line causes the notebook to exit with 77 if spins is not \n",
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"# installed, therefore skipping this test in the test suite.\n",
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"spot.ltsmin.require('spins')\n",
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"spot.setup()"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 1
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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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"There are two ways to load a Promela model: from a file or from a cell. \n",
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"\n",
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"Loading from a cell\n",
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"-------------------\n",
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"\n",
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"Using the `%%pml` magic will save the model in a temporary file, call `spins` to compile it, load the resulting shared library, and store the result into an object whose name is passed as an argument to `%%pml`."
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%%pml model\n",
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"active proctype P() {\n",
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"int a = 0;\n",
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"int b = 0;\n",
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"x: if\n",
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" :: d_step {a < 3 && b < 3; a = a + 1; } goto x;\n",
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" :: d_step {a < 3 && b < 3; b = b + 1; } goto x;\n",
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"fi;\n",
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"}"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stderr",
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"text": [
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"SpinS Promela Compiler - version 1.1 (3-Feb-2015)\n",
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"(C) University of Twente, Formal Methods and Tools group\n",
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"\n",
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"Parsing tmpmmk02hmw.pml...\n",
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"Parsing tmpmmk02hmw.pml done (0.0 sec)\n",
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"\n",
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"Optimizing graphs...\n",
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" StateMerging changed 0 states/transitions.\n",
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" RemoveUselessActions changed 2 states/transitions.\n",
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" RemoveUselessGotos changed 2 states/transitions.\n",
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" RenumberAll changed 1 states/transitions.\n",
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"Optimization done (0.0 sec)\n",
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"\n",
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"Generating next-state function ...\n",
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" Instantiating processes\n",
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" Statically binding references\n",
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" Creating transitions\n",
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"Generating next-state function done (0.0 sec)\n",
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"\n",
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"Creating state vector\n",
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"Creating state labels\n",
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"Generating transitions/state dependency matrices (2 / 3 slots) ... \n",
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"\n",
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" [.......... ]\n",
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" [.................... ]\n",
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" [.............................. ]\n",
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" [........................................ ]\n",
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" [..................................................]\n",
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" Found 5 / 15 ( 33.3%) Guard/slot reads \n",
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"\n",
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" [......................... ]\n",
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" [..................................................]\n",
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" Found 6 / 6 (100.0%) Transition/slot tests \n",
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"\n",
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" [........ ]\n",
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" [................ ]\n",
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" [......................... ]\n",
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" [................................. ]\n",
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" [......................................... ]\n",
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" [..................................................]\n",
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" Found 2, 4, 4 / 18 ( 11.1%, 22.2%, 22.2%) Actions/slot r,W,w \n",
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"\n",
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" [......................... ]\n",
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" [..................................................]\n",
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" Found 2, 4, 4 / 6 ( 33.3%, 66.7%, 66.7%) Atomics/slot r,W,w \n",
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"\n",
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" [......................... ]\n",
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" [..................................................]\n",
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" Found 6, 4, 4 / 6 (100.0%, 66.7%, 66.7%) Transition/slot r,W,w \n",
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"Generating transition/state dependency matrices done (0.0 sec)\n",
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"\n",
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"Generating guard dependency matrices (5 guards) ...\n",
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"\n",
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" [.... ]\n",
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" [........ ]\n",
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" [............ ]\n",
|
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" [................ ]\n",
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" [.................... ]\n",
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" [......................... ]\n",
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" [............................. ]\n",
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" [................................. ]\n",
|
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" [..................................... ]\n",
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" [......................................... ]\n",
|
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" Found 3 / 12 ( 25.0%) Guard/guard dependencies \n",
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"\n",
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" [..... ]\n",
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" [.......... ]\n",
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" [............... ]\n",
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" [.................... ]\n",
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" [......................... ]\n",
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" [.............................. ]\n",
|
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" [................................... ]\n",
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" [........................................ ]\n",
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" [............................................. ]\n",
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" [..................................................]\n",
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" Found 8 / 10 ( 80.0%) Transition/guard writes \n",
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"\n",
|
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" Found 4 / 4 (100.0%) Transition/transition writes \n",
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"\n",
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" [.... ]\n",
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" [........ ]\n",
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" [............ ]\n",
|
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" [................ ]\n",
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" [.................... ]\n",
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" [......................... ]\n",
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" [............................. ]\n",
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" [................................. ]\n",
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" [..................................... ]\n",
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" [......................................... ]\n",
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" Found 2 / 12 ( 16.7%) !MCE guards \n",
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"\n",
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" [......................... ]\n",
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" Found 1 / 2 ( 50.0%) !MCE transitions \n",
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"\n",
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" [.. ]\n",
|
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" [.... ]\n",
|
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" [...... ]\n",
|
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" [........ ]\n",
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" [.......... ]\n",
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" [............ ]\n",
|
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" [.............. ]\n",
|
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" [................ ]\n",
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" [.................. ]\n",
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" [.................... ]\n",
|
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" [...................... ]\n",
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" [........................ ]\n",
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" [.......................... ]\n",
|
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" [............................ ]\n",
|
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" [.............................. ]\n",
|
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" [................................ ]\n",
|
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" [.................................. ]\n",
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" [.................................... ]\n",
|
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" [...................................... ]\n",
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" [........................................ ]\n",
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" [.......................................... ]\n",
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" [............................................ ]\n",
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" [.............................................. ]\n",
|
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" [................................................ ]\n",
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" [..................................................]\n",
|
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" Found 7 / 25 ( 28.0%) !ICE guards \n",
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"\n",
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" [..... ]\n",
|
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" [.......... ]\n",
|
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" [............... ]\n",
|
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" [.................... ]\n",
|
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" [......................... ]\n",
|
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" [.............................. ]\n",
|
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" [................................... ]\n",
|
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" [........................................ ]\n",
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" [............................................. ]\n",
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" [..................................................]\n",
|
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" Found 10 / 10 (100.0%) !NES guards \n",
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"\n",
|
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" [............ ]\n",
|
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" [......................... ]\n",
|
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" [..................................... ]\n",
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" [..................................................]\n",
|
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" Found 4 / 4 (100.0%) !NES transitions \n",
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"\n",
|
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" [..... ]\n",
|
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" [.......... ]\n",
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" [............... ]\n",
|
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" [.................... ]\n",
|
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" [......................... ]\n",
|
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" [.............................. ]\n",
|
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" [................................... ]\n",
|
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" [........................................ ]\n",
|
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" [............................................. ]\n",
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" [..................................................]\n",
|
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" Found 8 / 10 ( 80.0%) !NDS guards \n",
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"\n",
|
|
" [..... ]\n",
|
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" [.......... ]\n",
|
|
" [............... ]\n",
|
|
" [.................... ]\n",
|
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" [......................... ]\n",
|
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" [.............................. ]\n",
|
|
" [................................... ]\n",
|
|
" [........................................ ]\n",
|
|
" [............................................. ]\n",
|
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" [..................................................]\n",
|
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" Found 0 / 10 ( 0.0%) MDS guards \n",
|
|
"\n",
|
|
" [..... ]\n",
|
|
" [.......... ]\n",
|
|
" [............... ]\n",
|
|
" [.................... ]\n",
|
|
" [......................... ]\n",
|
|
" [.............................. ]\n",
|
|
" [................................... ]\n",
|
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" [........................................ ]\n",
|
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" [............................................. ]\n",
|
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" [..................................................]\n",
|
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" Found 4 / 10 ( 40.0%) MES guards \n",
|
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"\n",
|
|
" [............ ]\n",
|
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" [......................... ]\n",
|
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" [..................................... ]\n",
|
|
" [..................................................]\n",
|
|
" Found 0 / 4 ( 0.0%) !NDS transitions \n",
|
|
"\n",
|
|
" [......................... ]\n",
|
|
" Found 0 / 2 ( 0.0%) !DNA transitions \n",
|
|
"\n",
|
|
" [......................... ]\n",
|
|
" [..................................................]\n",
|
|
" [..................................................]\n",
|
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" Found 2 / 2 (100.0%) Commuting actions \n",
|
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"Generating guard dependency matrices done (0.0 sec)\n",
|
|
"\n",
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"Written C code to /home/adl/git/spot/tests/python/tmpmmk02hmw.pml.spins.c\n",
|
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"Compiled C code to PINS library tmpmmk02hmw.pml.spins\n",
|
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"\n"
|
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]
|
|
}
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|
],
|
|
"prompt_number": 2
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
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"Yes, the `spins` compiler is quite verbose. Printing the resulting `model` object will show information about the variables in that model. "
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
|
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"model"
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],
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"language": "python",
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"metadata": {},
|
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"outputs": [
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{
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"metadata": {},
|
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"output_type": "pyout",
|
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"prompt_number": 3,
|
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"text": [
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"ltsmin model with the following variables:\n",
|
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" P_0._pc: pc\n",
|
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" P_0.a: int\n",
|
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" P_0.b: int"
|
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]
|
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}
|
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],
|
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"prompt_number": 3
|
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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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"To instantiate a Kripke structure, one should provide a list of atomic proposition to observe."
|
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]
|
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},
|
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{
|
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"cell_type": "code",
|
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"collapsed": false,
|
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"input": [
|
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"k = model.kripke(['P_0.a < 2', 'P_0.b > 1']); k"
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],
|
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"language": "python",
|
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"metadata": {},
|
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"outputs": [
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{
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"metadata": {},
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"output_type": "pyout",
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"prompt_number": 4,
|
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"svg": [
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"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
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"<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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"<g id=\"graph0\" class=\"graph\" transform=\"scale(0.340094 0.340094) rotate(0) translate(4 309.74)\">\n",
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"<text text-anchor=\"middle\" x=\"197.513\" y=\"-141.67\" font-family=\"Lato\" font-size=\"14.00\">"P_0.a < 2" & !"P_0.b > 1" & !dead</text>\n",
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"</g>\n",
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"<!-- I->0 -->\n",
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"<g id=\"edge1\" class=\"edge\"><title>I->0</title>\n",
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"<text text-anchor=\"middle\" x=\"554.54\" y=\"-177.67\" font-family=\"Lato\" font-size=\"14.00\">"P_0.a < 2" & !"P_0.b > 1" & !dead</text>\n",
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"</g>\n",
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"<g id=\"edge2\" class=\"edge\"><title>0->1</title>\n",
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"</g>\n",
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"<g id=\"edge3\" class=\"edge\"><title>0->2</title>\n",
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"</g>\n",
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"<!-- 3 -->\n",
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"<g id=\"node5\" class=\"node\"><title>3</title>\n",
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"<text text-anchor=\"middle\" x=\"914.395\" y=\"-213.67\" font-family=\"Lato\" font-size=\"14.00\">!"P_0.a < 2" & !"P_0.b > 1" & !dead</text>\n",
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"</g>\n",
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"<!-- 1->3 -->\n",
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"<g id=\"edge4\" class=\"edge\"><title>1->3</title>\n",
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"</g>\n",
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"<!-- 4 -->\n",
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"<g id=\"node6\" class=\"node\"><title>4</title>\n",
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"<text text-anchor=\"middle\" x=\"914.395\" y=\"-156.67\" font-family=\"Lato\" font-size=\"14.00\">P_0._pc=0, P_0.a=1, P_0.b=1</text>\n",
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"<text text-anchor=\"middle\" x=\"914.395\" y=\"-141.67\" font-family=\"Lato\" font-size=\"14.00\">"P_0.a < 2" & !"P_0.b > 1" & !dead</text>\n",
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"</g>\n",
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"<!-- 1->4 -->\n",
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"<g id=\"edge5\" class=\"edge\"><title>1->4</title>\n",
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"</g>\n",
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"<!-- 2->4 -->\n",
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"<g id=\"edge6\" class=\"edge\"><title>2->4</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M692.617,-130.66C717.763,-133.19 744.078,-135.837 769.419,-138.386\"/>\n",
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"</g>\n",
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"<!-- 5 -->\n",
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"</g>\n",
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"</g>\n",
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"<!-- 3->7 -->\n",
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"<g id=\"edge9\" class=\"edge\"><title>3->7</title>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"<g id=\"edge14\" class=\"edge\"><title>6->6</title>\n",
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"</g>\n",
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"<!-- 7->10 -->\n",
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"<g id=\"edge15\" class=\"edge\"><title>7->10</title>\n",
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"</g>\n",
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"</g>\n",
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"<!-- 7->11 -->\n",
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"<g id=\"edge16\" class=\"edge\"><title>7->11</title>\n",
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"</g>\n",
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"<!-- 8->11 -->\n",
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"<g id=\"edge17\" class=\"edge\"><title>8->11</title>\n",
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"</g>\n",
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"<!-- 12 -->\n",
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"<g id=\"node14\" class=\"node\"><title>12</title>\n",
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"</g>\n",
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"<!-- 8->12 -->\n",
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"<g id=\"edge18\" class=\"edge\"><title>8->12</title>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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],
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"text": [
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"<spot.impl.kripke; proxy of <Swig Object of type 'std::shared_ptr< spot::kripke > *' at 0x7fe0808e0240> >"
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]
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}
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],
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"prompt_number": 4
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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": [
|
|
"And then from this Kripke structure you can do some model checking using the same functions as illustrated in `ltsmin-dve.ipynb`.\n",
|
|
"\n",
|
|
"Loading from a `*.pml` file\n",
|
|
"---------------------------\n",
|
|
"\n",
|
|
"Another option is to use `ltsmin.load()` to load a Promela file directly. In order for this test-case to be self-contained, we are going to write the Promela file first, but in practice you probably already have your model."
|
|
]
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|
},
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|
{
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|
"cell_type": "code",
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|
"collapsed": false,
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|
"input": [
|
|
"!rm -rf test1.pml"
|
|
],
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|
"language": "python",
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|
"metadata": {},
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|
"outputs": [],
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|
"prompt_number": 5
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|
},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
|
|
"%%file test1.pml\n",
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|
"active proctype P() {\n",
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|
"int a = 0;\n",
|
|
"int b = 0;\n",
|
|
"x: if\n",
|
|
" :: d_step {a < 3 && b < 3; a = a + 1; } goto x;\n",
|
|
" :: d_step {a < 3 && b < 3; b = b + 1; } goto x;\n",
|
|
"fi;\n",
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|
"}"
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|
],
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|
"language": "python",
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"metadata": {},
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"outputs": [
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|
{
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|
"output_type": "stream",
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|
"stream": "stdout",
|
|
"text": [
|
|
"Writing test1.pml\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 6
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now load it:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"model2 = spot.ltsmin.load('test1.pml')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 7
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"model2"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 8,
|
|
"text": [
|
|
"ltsmin model with the following variables:\n",
|
|
" P_0._pc: pc\n",
|
|
" P_0.a: int\n",
|
|
" P_0.b: int"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 8
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"!rm -f test1.pml test1.pml.spins.c test1.pml.spins"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 9
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |