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词汇 Church thesis
分类 英语词汇 英语翻译词典
释义

Church thesis

中文百科

邱奇-图灵论题 Church–Turing thesis

(重定向自Church thesis)

邱奇-图灵论题(又称邱奇-图灵猜想邱奇论题邱奇猜想图灵论题)是一个关于可计算性理论的假设。该假设论述了关于函数特性的,可有效计算的函数值(用更现代的表述来说--在算法上可计算的)。简单来说,邱奇-图灵论题认为“任何在算法上可计算的问题同样可由图灵机计算”。

20世纪上半叶,对可计算性进行公式化表示的尝试有:

这三个理论在直觉上似乎是等价的--它们都定义了同一类函数。因此,计算机科学家和数学家们相信,可计算性的精确定义已经出现。邱奇-图灵论题的非正式表述说:如果某个算法是可行的,那这个算法同样可以被图灵机,以及另外两个理论所实现。

英语百科

Church–Turing thesis 邱奇-图灵论题

(重定向自Church thesis)

In computability theory, the Church–Turing thesis (also known as the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a hypothesis about the nature of computable functions. It states that a function on the natural numbers is computable by a human being ignoring resource limitations if and only if it is computable by a Turing machine. The thesis is named after American mathematician Alonzo Church and the British mathematician Alan Turing.

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