2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94425The discrete Painlevé property is precisely defined, and basic discretization rules to preserve it are stated. The discrete Painlevé test is enriched with a new method which perturbs the continuum limit and generates infinitely many no-log conditions. A general, direct method is provided to search for discrete Lax pairs.21 pages, no figure, standard Latex, to appear in Theory of nonlinear special functions : the Painlevé transcendents, eds. L. Vinet and P. Winternitz (Springer, Berlin, 1998). Proceedings of Montreal, 13--17 May 1996Exactly Solvable and Integrable Systemstext