Systolic trellis automata: Stability, decidability and complexity

Q4 Mathematics
K. Culik II, J. Gruska, A. Salomaa
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引用次数: 36

Abstract

Systolic trellis automata are models of hexagonally connected and triangularly shaped systolic arrays. This paper studies the problems of stability, decidability, and complexity for them. The original definition of systolic trellis automata requires that an input string is fed to a specific row of processors. Here it is shown that given a homogeneous trellis automaton we can construct an equivalent one (stable or superstable) which allows to feed the input string to any sufficiently long row of processors. Moreover, some closure and decidability results for trellis automata are established and the computational complexity of languages accepted by trellis automata is investigated.

收缩网格自动机:稳定性、可决定性和复杂性
收缩网格自动机是六边形连接和三角形收缩阵列的模型。本文研究了它们的稳定性、可判决性和复杂性问题。收缩网格自动机的原始定义要求将输入字符串馈送到特定的处理器行。本文表明,给定一个齐次网格自动机,我们可以构造一个等价的网格自动机(稳定或超稳定),它允许将输入字符串提供给任何足够长的处理器行。在此基础上,建立了格点自动机的闭包性和可判决性结果,并研究了格点自动机所接受的语言的计算复杂度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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