Using a level oriented model for verification of asynchronous circuits helps users to easily construct formal models with high readability or to naturally model data-path circuits. On the other hand, in order to use such a model for larger circuit, some technique to avoid the state explosion problem is essential. This paper first defines a level oriented formal model based on time Petri nets, and then proposes a partial order reduction algorithm that prunes unnecessary state generation while guaranteeing the correctness of the verification.

This paper develops a modular synthesis algorithm for timed circuits that is dramatically accelerated by partial order reduction. This algorithm synthesizes each module in a hierarchical design individually. It utilizes partial order reduction to reduce the state space explored for the other modules by considering a single interleaving of concurrently enabled transitions. This approach better manages the state explosion problem resulting in a more than 2 order of magnitude reduction in synthesis time. The improved synthesis time enables the synthesis of a larger class of timed circuits than was previously possible.