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Initial release
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Co-Authored-By: Harrison Green <[email protected]>
Co-Authored-By: Andrew Haberlandt <[email protected]>
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hgarrereyn and ndrewh committed Jul 4, 2023
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21 changes: 21 additions & 0 deletions LICENSE
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MIT License

Copyright (c) 2023 Andrew Haberlandt, Harrison Green, Marijn Heule

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
10 changes: 10 additions & 0 deletions Makefile
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default: all

all: sbva

sbva: sbva.cc
clang++ -I eigen-3.4.0/ -std=c++11 -O3 -o sbva sbva.cc

clean:
rm sbva
101 changes: 101 additions & 0 deletions README.md
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# SBVA (Structured Bounded Variable Addition)

SBVA is a tool for reducing SAT formulas using _structured bounded variable addition_.

## Installation

SBVA requires Eigen as a dependency. To compile, run the following:

```
wget https://gitlab.com/libeigen/eigen/-/archive/3.4.0/eigen-3.4.0.tar.gz
tar xf eigen-3.4.0.tar.gz
make
```

## Usage

### As a preprocessor

```
./sbva [-i input] [-o output] [-p proof] [-t timeout] [-v]
```

Options:
* `-i`: specify input file (default is stdin)
* `-o`: specify output file (default is stdout)
* `-p`: if specified, save a DRAT proof of the transformation to this file
* `-t`: if specified, the BVA algorithm will exit after this many seconds and the semi-reduced formula will be returned
* `-v`: enable verbose logging

Examples:

```sh
# Reduce a formula
./sbva -i problem.cnf -o out.cnf

# Reduce a formula and generate a proof
./sbva -i problem.cnf -o out.cnf -p proof.drat
```

### With a solver

A wrapper script is provided to run SBVA along with a SAT solver and automatically fixup the resulting model (if SAT) or DRAT proof (if UNSAT).

On certain types of problems, SBVA itself can take a long time to run even if the original formula would solve quickly in a SAT solver, so the wrapper script also suports running SBVA with a timeout and falling back to running the original formula.

For sane defaults, use the `sbva_wrapped` script:

```
./sbva_wrapped [solver] [input.cnf] [output.proof]
```

The solver will be invoked like:
```
<solver> <input.cnf> <output.drat> --no-binary
```

(CaDiCaL and Kissat use this format)

The result of the solver will be printed to `stdout`, e.g.

```
s SATISFIABLE
<model>
```

or

```
s UNSATISFIABLE
```

If the problem is unsatisfiable, a DRAT proof will be saved to `[output.proof]`.

Examples:
```sh
# Run SBVA with CaDiCaL
./sbva_wrapped cadical problem.cnf output.proof
```

You can also invoke the `wrapper.py` script directly, e.g.:

```
python3 wrapper.py \
--input problem.bva \
--output proof.out \
--bva ./sbva \
--t1 200 \
--t2 400 \
--solver cadical
```

The options `t1` and `t2` control the inner and outer timeouts (in seconds) respectively. SBVA will attempt to finish gracefully after `t1` seconds, but if it gets stuck in a busy section of the algorithm, an outer timeout will kill it after `t2` seconds.

### Example Formulas

You can find example CNF formulas (on which SBVA is effective) in the `examples/` directory. These are from the [Global Benchmark Database](https://benchmark-database.de/) and the [packing k-coloring problem](https://arxiv.org/abs/2301.09757).


## Authors

SBVA was developed by Andrew Haberlandt and Harrison Green with advice from Marijn Heule.
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