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Algorithms related to omega regular languages.

Project description

[![Build Status][build_img]][travis] [![Coverage Status][coverage]][coveralls]

About

A package of symbolic algorithms for omega-regular languages. It contains:

  • Synthesis algorithms for: - generalized Streett(1) games (known as GR(1)) - generalized Rabin(1) games (known as counter-strategies, not to be confused with [arXiv:1003.1684](http://arxiv.org/abs/1003.1684v2#)) - detection of trivial realizability in GR(1) games.

  • Parser of [linear temporal logic](http://dx.doi.org/10.1109/SFCS.1977.32) (LTL).

  • Translation from past to future LTL, using [temporal testers](http://doi.org/10.1007/978-3-540-69850-0_11).

  • Bitblaster of first-order temporal logic (integers -> bits).

  • Symbolic automata that include: - methods that compile to, and maintain, the underlying binary decision diagrams (BDDs) - functions for generatining primed variables, and BDD orderings.

  • Semi-symbolic automata (and “transition systems”).

  • Flattening of semi-symbolic transition systems to LTL.

  • Enumeration / plotting of BDDs representing sets and (transition) relations.

Documentation

In the [Markdown](https://en.wikipedia.org/wiki/Markdown) file [doc/doc.md](https://github.com/johnyf/omega/blob/master/doc/doc.md).

Installation

Either with:

` pip install omega `

or

` python setup.py install `

The package and its dependencies are pure Python.

For solving demanding games, install the [Cython](https://en.wikipedia.org/wiki/Cython) module dd.cudd, which links to [CUDD](http://vlsi.colorado.edu/~fabio/CUDD). Instructions are available [at dd](https://github.com/johnyf/dd#cython-bindings).

License

[BSD-3](http://opensource.org/licenses/BSD-3-Clause), see LICENSE file.

[build_img]: https://travis-ci.org/johnyf/omega.svg?branch=master [travis]: https://travis-ci.org/johnyf/omega [coverage]: https://coveralls.io/repos/johnyf/omega/badge.svg?branch=master [coveralls]: https://coveralls.io/r/johnyf/omega?branch=master

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