Inference of termination conditions for numerical loops in Prolog

@article{Serebrenik2004InferenceOT,
  title={Inference of termination conditions for numerical loops in Prolog},
  author={Alexander Serebrenik and Danny De Schreye},
  journal={Theory and Practice of Logic Programming},
  year={2004},
  volume={4},
  pages={719 - 751}
}
We present a new approach to termination analysis of numerical computations in logic programs. Traditional approaches fail to analyse them due to non well-foundedness of the integers. We present a technique that allows overcoming these difficulties. Our approach is based on transforming a program in a way that allows integrating and extending techniques originally developed for analysis of numerical computations in the framework of query-mapping pairs with the well-known framework of… 
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