Abstract
The BSMLlib is a library for Bulk Synchronous Parallel programming with the functional language Objective Caml. It is based on an extension of the λ-calculus by parallel operations on a parallel data structure named parallel vector, which is given by intention. Those operations are flat and allow BSP programming in direct mode but it is impossible to express directly divide-and-conquer algorithms. This paper presents a new construction for the BSMLlib library which can express divide-and-conquer algorithms. It is called parallel superposition because it can be seen as the parallel composition of two BSP threads which can each use all the processors. An associated cost model derived from the BSP cost model is also given.
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