Distributed Synthesis with Incomparable Information
Résumé
Given (1) an architecture defined by processes and communication channels between them or with the environment, and (2) a specification on the messages transmitted over the channels, distributed synthesis aims at deciding existence of local programs, one for each process, that together meet the specification, whatever the environment does. Recent work shows that this problem can be solved when a linear preorder sorts the agents w.r.t. the information received from the environment. In this paper we show a new decidability result in the case where this preorder is broken by the addition of noisy agents embedded in a pipeline architecture. This case cannot be captured by the classical framework. Besides, this architecture makes it possible to model particular security threats, known as covert channels, where two users (the sender and the receiver) manage to communicate via a noisy protocol, and despite incomparable views over the environment.