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It should be possible to connect to either the player or a server, so a common internal Java interface might have to be developed.
API guide for Taverna Server: https://taverna.incubator.apache.org/documentation/server/3.1/usage
There's an API taverna-server-client library bundled with the Taverna Server release which may be helpful, although it has not been tested on Android.
Prospective GSOC mentor: firstname.lastname@example.org