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Transmathematical basis of infinitely scalable pipeline machines

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Anderson, J. (2015) Transmathematical basis of infinitely scalable pipeline machines. In: ICCS 2015 Computational Science at the Gates of Nature, pp. 1828-1837.

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Abstract/Summary

We describe infinitely scalable pipeline machines with perfect parallelism, in the sense that every instruction of an inline program is executed, on successive data, on every clock tick. Programs with shared data effectively execute in less than a clock tick. We show that pipeline machines are faster than single or multi-core, von Neumann machines for sufficiently many program runs of a sufficiently time consuming program. Our pipeline machines exploit the totality of transreal arithmetic and the known waiting time of statically compiled programs to deliver the interesting property that they need no hardware or software exception handling.

Item Type:Conference or Workshop Item (Paper)
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
ID Code:43186
Uncontrolled Keywords:transreal arihtmetic, von Neumann Machine, pipeline

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