We present a new system for recognizing on-line cursive handwriting. The system, which is called the Kritzel System, has four features. First, the system characterizes handwriting as a sequence of feature vectors. Second, the system adapts to a particular writing style itself through a learning process. Third, the reasoning of the system is formulated in propositional logic with likelihoods. Fourth, the system can be readily linked with other English processing systems for lexical and contextual checking.