Due to the significant progress in automated verification, there are often several techniques for a particular verification problem. In many circumstances different techniques are complementary -- each technique works well for different type of input instances. Unfortunately, it is not clear how to choose an appropriate technique for a specific instance of a problem. In this work we argue that this problem, selection of a technique and tuning its parameter values, should be considered as a standalone problem (a verification meta-search). We propose several classifications of models of asynchronous system and discuss applications of these classifications in the context of explicit finite state model checking.