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During the last two decades, the decentralized execution of businessprocesses has been one of the main research topics in Business ProcessManagement. Several models (languages) for processes' specification in order tofacilitate their distributed execution, have been proposed. LSAWfP is among themost recent in this area: it helps to specify administrative processes withgrammatical models indicating, in addition to their fundamental elements, thepermissions (reading, writing and execution) of each actor in relation to eachof their tasks. In this paper, we present a model for a completelydecentralized and artifact-centric execution of administrative processesspecified using LSAWfP. The presented model puts particular emphasis on actors'views: it then allows the confidential execution of certain tasks by ensuringthat, each actor potentially has only a partial perception of the processes'global execution states. The model thus solves a very important problem inbusiness process execution, which is often sidelined in existing approaches. Toaccomplish this, the model rely on three projection algorithms allowing topartially replicate the processes' global execution states at a given moment,to consistently update the obtained partial states and to deduce new coherentglobal states. The proposal of these three algorithms, the proof of underlyingmathematical tools' stability and a proposal of their implementation, are thispaper's main contributions.

A Projection-Stable Grammatical Model for the Distributed Execution of Administrative Processes with Emphasis on Actors' Views