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Graph Neural Networks for Bisimulation

We implement a GNN-based bisimulation computation for large graphs coming from the Hardware Model Checking Competition (HWMCC) and the Reactive Synthesis Competition (SYNTCOMP). All benchmarks considered are in the AIGER format.

Dependencies

The following Python 3 libraries

  • tensorflow-gnn
  • py-aiger
  • distance
  • scikit-learn as well as their respective dependencies

Data Preparation

Feature collection

The list of all latch names from the benchmarks under consideration was generated using src/datainfo.py and stored in data/latch_names.txt.

Statistics regarding the considered benchmarks:

  • min no. of latches = 0
  • mean no. of latches = 510.95
  • max no. of latches = 43950
  • No. of distinct latch names for the whole data set = 144043 This information suggests we cluster the latch names to get a set of feature to use in our learning task.

The script src/clusterLatches.py has been used to obtain 56 clusters of latches stored in data/latch_clusters.txt.

Labelled data collection

TODO

  • Note: the main hindrance from here onward is the need for an adjacency matrix which (i 5C1C f kept entirely in memory) is too large; we can ignore this and start with the smaller benchmarks first
  • Note: since we have DFAs, bisimulation equivalence implies language equivalence!

GNN (architecture) creation

TODO

Training setup

TODO

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TF2 implementations of GNN architectures

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