Yuxin Deng (ECNU) On Equivalence Checking of Nondeterministic Finite Automata Language equivalence for nondeterministic finite automata is important in many application domains such as compiler construction and model checking. Algorithms for checking language equivalence have been proposed in the literature, but a comprehensive comparison is missing. In this paper we provide a comparative study of some typical algorithms and various combinations of optimisation techniques. We find that their practical efficiencies depend very much on the automata under consideration. We analyse the reasons behind, which should be very useful in choosing appropriate algorithms in practical applications. The analysis is conducted by using our tool EBEC that is an initial step towards building a common platform for comparing state-of-the-art algorithms for checking behavioural equivalences. (Ongoing joint work with Chen Fu and Lijun Zhang)