有效的区间值计算

B. Nagy
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引用次数: 6

摘要

本文提出了一种基于区间[0,1]计算的计算系统。间隔值由点和原子间隔组成。布尔运算符以一种自然的方式扩展到这些值。将传统计算的字节改为间隔值,就得到了间隔值计算设备。我们还研究了Rshift和Lshift算子。通过模拟,间隔值计算设备可以计算经典计算设备使用字节中的位所能计算的一切。此外,从理论上讲,由于无限并行的可能性,这种设备比传统计算机更有效。提出了一种用区间值法求解线性时间Q-SAT问题的方法。我们的设备使用通常的间隔概念,以一种非常有效的方式进行计算。还给出了区间值的列表表示。基于这些表,理论上可以用数学方法和传统计算方法模拟区间计算。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Effective computing by interval-values
In this paper we present a computing system which based on computations on intervals over [0,1]. The interval-values are built up from points and atomic intervals. The Boolean operators are extended to these values in a natural way. Changing the bytes of the traditional computing to interval-values one gets the interval-valued computing device. We investigate the operators Rshift and Lshift as well. By a simulation the interval-valued computing device can compute everything that the classical computing devices can compute using bits in a byte. Moreover, theoretically, this device is more effective than the traditional computers, because of the possibility of infinite parallelism. A method is presented to solve the Q-SAT problem in linear time using the interval-valued approach. Our device uses the usual concept of intervals to make the computations in a very effective way. The list-representation of the interval-values is also presented. Based on these lists, theoretically, one can simulate the interval-computation both in mathematical and traditional computational way.
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