AbstractThis volume contains the Proceedings of the Fourth Workshop on Coalgebraic Methods in Computer Science (CMCS 2001). The Workshop was held in Genova, Italy on April 6 and 7, 2001, as a satellite event of ETAPS 2001. The aim of the CMCS workshop series is to bring together researchers with a common interest in theory of coalgebras and its applications. Previous workshops have been organized in Lisbon (1998), Amsterdam (1999) and Berlin (2000). The proceedings appeared as ENTCS Vols. 11,19 and 33.During the last few years it is becoming increasingly clear that a great variety of state-based dynamical systems, like transition systems, automata, process calculi and class-based systems can be captured uniformly as coalgebras. The first th...