Signal Transition Graphs (STG'S) [1] are Petrinets [2], which were introduced to represent a behavior of asynchronous circuits. To derive logic functions from an STG, the reachability graph should be constructed. In the verification of STG's some method based on Occurrence nets (OCN) and its prefix, called unfollding, has been proposed [3], [4]. OCN's can represent both causality and concurrency between two nodes by net stryctyre. In this paper, we propose an efficient algorithm to derive a logic function by generating sub-state space of a given STG using the structural properties of OCN. The proposed algorithm can be seem as a parallel algorithm for deriving a logic function.