Towards a behavioural theory for random parallel computing

Authors Klaus-Dieter Schewe
Flavio Ferrarotti
Loredana Tec
Qing Wang
Editors C. Beierle
G. Brewka
M. Thimm
Title Towards a behavioural theory for random parallel computing
Booktitle Computational Models of Rationality. Essays Dedicated to Gabriele Kern-Isberner on the occasion of her 60th birthday
Type in book
Publisher College Publications
ISBN 978-1848901988
Month January
Year 2016
Pages 365-376
SCCH ID# 1619
Abstract

A behavioural theory comprises a set of postulates that characterise a particular class of algorithms, an abstract machine model that provably satisfies the postulates, and a proof that all algorithms stipulated by the postulates are captured by the abstract machine model. This article is dedicated to the development of a behavioural theory for random, parallel algorithms. For this first a theory for nondeterministic, parallel algorithms is developed, which captures the case of uniform distribution for the random choices made by the algorithms. This is followed by a discussion how the uniformity could be replaced by arbitrary distributions.