Searching for Traces of Communication in Szilard Languages of Parallel Communicating Grammar Systems - Complexity Views

The paper brings new insights into the complexity of Szilard languages (SZLs) of Parallel Communicating Grammar Systems (PCGSs). We investigate the structure of Szilard words for several classes of PCGSs with context-free rules. We prove that the classes of SZLs of returning centralized and non-returning non-centralized PCGSs are included in circuit complexity class \({\mathcal N}{\mathcal C}^1\). As a consequence, this result also holds for the class of SZLs of non-returning centralized PCGSs.

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