English

A Second-Order Formulation of Non-Termination

Logic in Computer Science 2014-12-11 v1

Abstract

We consider the termination/non-termination property of a class of loops. Such loops are commonly used abstractions of real program pieces. Second-order logic is a convenient language to express non-termination. Of course, such property is generally undecidable. However, by restricting the language to known decidable cases, we exhibit new classes of loops, the non-termination of which is decidable. We present a bunch of examples.

Keywords

Cite

@article{arxiv.1412.3271,
  title  = {A Second-Order Formulation of Non-Termination},
  author = {Fred Mesnard and Etienne Payet},
  journal= {arXiv preprint arXiv:1412.3271},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T07:26:21.334Z