This paper presents an algorithm for incremental chart parsing, outlines how this could be embedded in an interactive parsing system, and discusses w h y this might be useful. Incremental parsing here means that input i8 analysed in a piecemeal fashion, in particular allowing arbitrary changes of previous input without exhaustive reanalysis. Interactive parsing means that the analysis process is prompted immediately at the onset of new input, and possibly that the system then m a y interact with the user in order to resolve problems that occur. .