An effective decision procedure for linear arithmetic over the integers and reals

@article{Boigelot2005AnED,
  title={An effective decision procedure for linear arithmetic over the integers and reals},
  author={Bernard Boigelot and S{\'e}bastien Jodogne and Pierre Wolper},
  journal={ACM Trans. Comput. Log.},
  year={2005},
  volume={6},
  pages={614-633}
}
This article considers finite-automata-based algorithms for handling linear arithmetic with both real and integer variables. Previous work has shown that this theory can be dealt with by using finite automata on infinite words, but this involves some difficult and delicate to implement algorithms. The contribution of this article is to show, using topological arguments, that only a restricted class of automata on infinite words are necessary for handling real and integer linear arithmetic. This… CONTINUE READING
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