Asynchronous P Systems for a Compare-and-Exchange Operation and Sorting

Asynchronous P Systems for a Compare-and-Exchange Operation and Sorting
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用于比较和交换操作和排序的异步 P 系统

DOI:
10.1109/candar.2015.21
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发表时间:
2015
期刊:
2015 Third International Symposium on Computing and Networking (CANDAR)
影响因子:
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通讯作者:
A. Fujiwara
A. Fujiwara
中科院分区:
--
文献类型:
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作者:
Yutaka Nishida;A. Fujiwara

文献摘要

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在本文中,我们考虑异步P系统,这是一种基于细胞活动的计算模型,并提出了两个执行比较交换操作和排序的P系统。我们首先提出了一个异步P系统,用于两个m位二进制数的比较和交换操作。P系统通过使用O(m)种对象、固定数量的膜和尺寸为O(m)的演化规则,以O(m)个步骤工作。接下来,我们利用上述异步P系统作为子系统,提出了一个对m位的n个二进制数进行排序的异步P系统。P系统通过使用O(mn)类型的物体、固定数量的膜和尺寸为O(mn)的演化规则,以O(mn2)步骤工作。
In the present paper, we consider asynchronous P systems, which is a computational model based on cell activity, and propose two P systems that execute a compare-and-exchange operation and sorting. We first propose an asynchronous P system for the compare-and-exchange operation of two binary numbers of m bits. The P system works in O(m) steps by using O(m) types of objects, a constant number of membranes and evolution rules of size O(m). We next propose an asynchronous P system for sorting of n binary numbers of m bits by using the above asynchronous P system as a sub-system. The P system works in O(mn2) steps by using O(mn) types of objects, a constant number of membranes, and evolution rules of size O(mn).