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Directed bigraphs are a meta-model which generalises Milner's bigraphs bytaking into account the request flow between controls and names. A key problemabout these bigraphs is that of bigraph embedding, i.e., finding the embeddingsof a bigraph inside a larger one.We present an algorithm for computingembeddings of directed bigraphs, via a reduction to a constraint satisfactionproblem. We prove soundness and completeness of this algorithm, and provide animplementation in jLibBig, a general Java library for manipulating bigraphicalreactive systems, together with some experimental results.

A CSP implementation of the directed bigraph embedding problem