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A QBF instance generator written in Python for the so-called Chen Formulas of Type 1 and 2.

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ChenGenerator

A QBF instance generator written in Python for the so-called Chen Formulas of Type 1 and 2.

Description

This repository contains Python code for a generator of QBF instances of the two classes of formulas defined by Hubie Chen in his 2016 article Proof Complexity Modulo de Polynomial Hierarchy (available in the /articles folder).

Contents

The content of each folder is:

  • /articles: some of the articles used for the documentation of the project. It contains Chen's original paper.
  • /documentation: contains a PDF document with the report of the project, descussing the formulas, how they were built and experimental results regarding their performance on available QBF solvers.
  • /generators: Python scripts for running the generators. Next section explains how to run them.
  • /src: internal code and tools used for the development of the generators.

How to run the generators

The generators are two Python scripts: generate_T1.py and generate_T2.py. These can be found in the /generators folder.

To run the Type 1 generator, one must run the generate_T1.py script. The command is the following:

python3 generate_T1.py n [filename]

The first argument is the value of n. The second argument is the name of a file. If not given, it will print the generated formula on the standard output, though it will not print formulas with more than 100 variables or clauses.

To run the Type 2 generator, one must run the generate_T2.py script. The command is one of the following:

python3 generate_T2.py n -QCIR [filename]
python3 generate_T2.py n -QDIMACS [filename]

The first argument is the value of n. The second argument is either -QCIR or -QDIMACS, and it specifies the format in which the formula has to be written. The third argument is the name of a file. If not given, it will print the generated formula on the standard output, though it will not print formulas with more than 100 variables or clauses.

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A QBF instance generator written in Python for the so-called Chen Formulas of Type 1 and 2.

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