This paper provides a brief report of the workshop convened and chaired at LFG09 by the author under the title 'Blurring Component Boundaries: levels of analysis or growth of information?'. The purpose of the workshop was to introduce the LFG community to the system developed by Ruth Kempson and a number of co-workers under the name Dynamic Syntax (DS), and to promote discussion and comparison of the two systems and the thinking that lies behind them. The paper explains the theme of the workshop, summarises some of the points made in the presentations, only one of which is published here in full, and comments briefly on some issues that emerged in the discussion.