An on-line parser processes each word as soon as it is typed by the us
er, without waiting for the end of the sentence. Thus, in an interacti
ve system, a sentence will be parsed almost immediately after the last
word has been presented. The complexity of an on-line parser is deter
mined by the resources needed for the analysis of a single word, as it
is assumed that previous words have been processed already. Sequentia
l parsing algorithms like CYK or Earley need O(n2) time for the nth wo
rd. A parallel implementation in 0(n) time on 0(n) processors is strai
ghtforward. In this paper a novel parallel on-line parser is presented
that needs 0(1) time on 0(n2) processors.