Stan Franklin's IDA model is one such computational implementation of GWT.
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Two major sources for inspiration for the approach described here are the ideas of generative linguist Ray Jackendoff on language faculty and modularity and Global Workspace Theory, as advanced by Bernard Baars.
Dehaene has developed computational models of consciousness, based on Bernard Baars Global Workspace Theory, which suggest that only one piece of information can gain access to a "global neuronal workspace".