English

Non-Termination Sets of Simple Linear Loops

Logic in Computer Science 2015-03-20 v1

Abstract

A simple linear loop is a simple while loop with linear assignments and linear loop guards. If a simple linear loop has only two program variables, we give a complete algorithm for computing the set of all the inputs on which the loop does not terminate. For the case of more program variables, we show that the non-termination set cannot be described by Tarski formulae in general

Cite

@article{arxiv.1206.0232,
  title  = {Non-Termination Sets of Simple Linear Loops},
  author = {Liyun Dai and Bican Xia},
  journal= {arXiv preprint arXiv:1206.0232},
  year   = {2015}
}

Comments

15 pages, 3 figures

R2 v1 2026-06-21T21:13:07.933Z