2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67408Let M be a polynomially bounded, o-minimal structure with archimedean prime model, for example if M is a real closed field. Let C be a convex and unbounded subset of M. We determine the first order theory of the structure M expanded by the set C. We do this also over any given set of parameters from M, which yields a description of all subsets of M^n, definable in the expanded structure.16 pages. The paper is a sequel to http://www-nw.uni-regensburg.de/~.trm22116.mathematik.uni-regensburg.de/paper s/cutsa.psLogic03C (primary)text