Formalising Bitonic Sort using Dependt Types

Formal Engineering of the Bitonic Sort using PVS

In this paper, we present a proof that the bitonic sort is sound using PVS, a powerful specification and verification environment. First, we briefly introduce this well-known parallel sort. It is based on bitonic lists whose relevant properties can be proven with PVS. To achieve our goal of constructing the proof from scratch, we start by studying some examples of this sort. Then we try to prov...

Formalising Bitoni Sort using Dependent Types

Comparison of parallel sorting algorithms

In our study we implemented and compared seven sequential and parallel sorting algorithms: bitonic sort, multistep bitonic sort, adaptive bitonic sort, merge sort, quicksort, radix sort and sample sort. Sequential algorithms were implemented on a central processing unit using C++, whereas parallel algorithms were implemented on a graphics processing unit using CUDA platform. We chose these algo...

The implementation and optimization of Bitonic sort algorithm based on CUDA

This paper describes in detail the bitonic sort algorithm,and implements the bitonic sort algorithm based on cuda architecture.At the same time,we conduct two effective optimization of implementation details according to the characteristics of the GPU,which greatly improve the efficiency. Finally,we survey the optimized Bitonic sort algorithm on the GPU with the speedup of quick sort algorithm ...

Optimizing Parallel Bitonic Sort

Sorting is an important component of many applications, and parallel sorting algorithms have been studied extensively in the last three decades. One of the earliest parallel sorting algorithms is Bitonic Sort, which is represented by a sorting network consisting of multiple butterfly stages. This paper studies bitonic sort on modern parallel machines which are relatively coarse grained and cons...