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Implementing the Recursive Definition of Abelian Group-Based Fields  (Make Corrections)  
Jean-Louis Giavitto, Olivier Michel



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Abstract: We present a high-level programming abstraction which extends the concept of collection and array. The new construct is based on an algebra of index sets, called a shape, and a functional extension of the array type, the field type. Shape constructions are based on group theory and we introduce the neighborhood compliant recursive definition of fields. Then we show how to implement the computation of recursive abelian fields. Keywords: functional lazy array, abelian groups, recursive... (Update)

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BibTeX entry:   (Update)

@misc{ giavitto-implementing,
  author = "Jean-Louis Giavitto and Olivier Michel",
  title = "Implementing the Recursive Definition of Abelian Group-Based Fields",
  url = "citeseer.ist.psu.edu/170302.html" }
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