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DL2: Training and Querying Neural Networks with Logic

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DL2 is a framework that allows training neural networks with logical constraints over numerical values in the network (e.g. inputs, outputs, weights) and to query networks for inputs fulfilling a logical formula. An example query is shown below. For more details read training/README.md and querying/README.md.

This implementation of DL2 can be used as a library compatible with PyTorch and can be used to reproduce the results of the DL2 research paper.

Example query

FIND i[100]
WHERE i[:] in [-1, 1],
      class(NN1(GEN(i)), 1),
      class(NN2(GEN(i)), 2),
RETURN GEN(i)

This example query, spans 3 networks: a generator GEN and two classifiers NN1 and NN2. It looks for a noise input (a 100-dimensional vector where all values are between -1 and 1) to the generator such, that it creates an input that gets classifies to class 1 by NN1 and class 2 by NN2. Finally the generated input is returned.

Structure

.
├── README.md              - this  file
├── dl2lib                 - DL2 Library
├── training               - the experiments for training networks
│   ├── README.md          - more details on training networks with DL2
│   ├── semisupservised
│   │   ├── main.py        - script to run the semi-supervised experiments
│   │   └── run.sh         - replicates the experiments from the paper
│   ├── supervised
│   │   ├── main.py        - script to run the supervised experiments
│   │   ├── results.py     - creates the tables and plots for the paper
│   │   └── run.sh         - replicates the experiments from the paper
│   └── unsupervised
│       ├── setup.sh       - installs prerequisite libraries
│       ├── run.sh         - replicates the experiments from the paper
│       └── train_DL2.py   - script to run the unsupervised experiments
├── querying               - the experiments for querying networks
│   ├── README.md          - more details on querying networks with DL2
│   ├── run.py             - runs the querying experiments from the paper
│   ├── run_additional.py  - runs the additional querying experiments from the appendix
│   └── train_models.sh    - downloads and trains the models required for the queries
└── requirements.txt       - pip requirements

Some files omitted.

Installation

DL2 was developed and tested with with python 3.6, but should also work with newer versions. All requirements can be installed via pip install -r requirements.txt. Afterwards the folder dl2lib can be imported as a python library (for details see examples).

Reproducing Results and Examples

For examples see the files intraining and querying, which implement the experiments from the paper. Each folder contains it's own README.md with further instructions on how to use the library and on how to reproduce the results.

Paper

website pdf

@inproceedings{fischer2019dl2, title={DL2: Training and Querying Neural Networks with Logic}, author={Marc Fischer, Mislav Balunovic, Dana Drachsler-Cohen, Timon Gehr, Ce Zhang, Martin Vechev}, booktitle={International Conference on Machine Learning}, year={2019}}

If you are using the library please also use the above citation to reference this work.

Contributors