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Published in:
2015 | OriginalPaper | Chapter
Foundations of Differential Dataflow
Authors : Martín Abadi, Frank McSherry, Gordon D. Plotkin
Published in: Foundations of Software Science and Computation Structures
Publisher: Springer Berlin Heidelberg
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Differential dataflow is a recent approach to incremental computation that relies on a partially ordered set of differences. In the present paper, we aim to develop its foundations. We define a small programming language whose types are abelian groups equipped with linear inverses, and provide both a standard and a differential denotational semantics. The two semantics coincide in that the differential semantics is the differential of the standard one. Möbius inversion, a well-known idea from combinatorics, permits a systematic treatment of various operators and constructs.