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Proving Termination by Divergence

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  author = {Domagoj Babi\'c and Alan J. Hu and Zvonimir Rakamari\'c 
    and Byron Cook},
  title = {{Proving Termination by Divergence}},
  booktitle = {SEFM'07: Proceedings of the 5th IEEE International 
    Conference on Software Engineering and Formal Methods},
  publisher = {IEEE Computer Society},
  location = {London, UK},
  month = {September},
  year = {2007},
  pages = {93--102},

Abstract: We describe a simple and efficient algorithm for proving the termination of a class of loops with nonlinear assignments to variables. The method is based on divergence testing for each variable in the cone-of-influence of the loop’s termination condition. The analysis allows us to automatically prove the termination of loops that cannot be handled using previous techniques. The paper closes with experimental results using short examples drawn from industrial code.

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