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Many applications are concurrent and communicate over a network. The non-determinism in the thread and communication schedules makes it desirable to model check such systems. However, a simple state space exploration scheme is not applicable, as backtracking results in repeated communication operations. A cache-based approach solves this problem by hiding redundant communication operations from the environment. In this work, we propose a change from a linear-time to a branching-time cache, allowing us to relax restrictions in previous work regarding communication traces that differ between schedules. We successfully applied the new algorithm to real-life programs where a previous solution is not applicable.