I argue for a distinction among accomplishments between what I call weak accomplishments and strong accomplishments. This distinction is based on an empirical argument from Hungarian that two traditional tests for accomplishments do not diagnose one and the same class of linguistic expressions. I propose that the essential difference between weak and strong accomplishments is that the latter are presuppositional in a way that the former are not and capture this difference by means of a notion of finishing that figures in the analysis of strong accomplishments but not in that of weak accomplishments. In Hungarian, weak accomplishments form a subclass of the class of definiteness effect verbs (excluding achievements) discussed in chapter 4.
I have another (loosely related) paper, "Definiteness effect verbs", in the same volume.
In Event structure and the left periphery: Studies on Hungarian, Katalin É. Kiss (ed.), pp. 91–106. Springer, 2006.
Paper, scan (grayscale, 300 dpi)
http://pinon.sdf-eu.org/covers/wsa.html