We exhibit a pseudogroup of smooth local transformations of the real line, which is compactly generated, but not realizable as the holonomy pseudogroup of a foliation of codimension 1 on a compact manifold. The proof relies on a description of all foliations with the same dynamic as the Reeb component.
Gaël MEIGNIEZ. "A compactly generated pseudogroup which is not realizable." J. Math. Soc. Japan 62 (4) 1205 - 1218, October, 2010. https://doi.org/10.2969/jmsj/06241205