Kahn Process Networks and a Reactive Extension

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Abstract

Kahn andMacQueen have introduced a generic class of determinate asynchronous data-flow applications, called Kahn Process Networks (KPNs) with an elegant mathematical model and semantics in terms of Scott-continuous functions on data streams together with an implementation model of independent asynchronous sequential programs communicating through FIFO buffers with blocking read and non-blocking write operations. The two are related by the Kahn Principle which states that a realization according to the implementationmodel behaves as predicted by the mathematical function. Additional steps are required to arrive at an actual implementation of a KPN to take care of scheduling of independent processes on a single processor and to manage communication buffers. Because of the expressiveness of the KPN model, buffer sizes and schedules cannot be determined at design time in general and require dynamic run-time system support. Constraints are discussed that need to be placed on such system support so as to maintain the Kahn Principle. We then discuss a possible extension of the KPN model to include the possibility for sporadic, reactive behavior which is not possible in the standard model. The extended model is called Reactive Process Networks. We introduce its semantics, look at analyzability and at more constrained data-flowmodels combined with reactive behavior.
Original languageEnglish
Title of host publicationHandbook of Signal Processing Systems
EditorsS.S. Bhattacharyya, E.F. Deprettere, R. Leupers, J. Takala
Place of PublicationBerlin
PublisherSpringer
Pages967-1006
Number of pages40
ISBN (Print)978-1-4419-6345-1
DOIs
Publication statusPublished - 2010

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