the noncomputability of certain functions was proven by alan turing.
Alan Turing 证明了某些函数的不可计算性。
noncomputability of the halting problem is a fundamental theorem in computer science.
停机问题的不可计算性是计算机科学中的一个基本定理。
studying the limits of computation involves understanding the concept of noncomputability.
研究计算的极限需要理解不可计算性的概念。
even quantum computers cannot overcome the inherent noncomputability of specific problems.
即使是量子计算机也无法克服某些问题内在的不可计算性。
gödel's incompleteness theorems are closely related to noncomputability in logic.
哥德尔的不完备定理与逻辑中的不可计算性密切相关。
the concept of noncomputability arises when exploring the boundaries of algorithms.
在探索算法边界时，不可计算性的概念就会出现。
researchers debated the noncomputability of true randomness in number generation.
研究人员就数字生成中真正随机性的不可计算性进行了辩论。
demonstrating noncomputability often requires complex mathematical proofs.
证明不可计算性通常需要复杂的数学证明。
understanding noncomputability is essential for theoretical computer science.
理解不可计算性对于理论计算机科学至关重要。
physicists question the role of noncomputability in chaotic systems.
物理学家质疑不可计算性在混沌系统中的作用。
noncomputability implies that no algorithm can solve the problem for all cases.
不可计算性意味着没有任何算法能够解决所有情况下的问题。
penrose argued that human consciousness relies on noncomputability.
Penrose 认为人类意识依赖于不可计算性。
the noncomputability of certain functions was proven by alan turing.
Alan Turing 证明了某些函数的不可计算性。
noncomputability of the halting problem is a fundamental theorem in computer science.
停机问题的不可计算性是计算机科学中的一个基本定理。
studying the limits of computation involves understanding the concept of noncomputability.
研究计算的极限需要理解不可计算性的概念。
even quantum computers cannot overcome the inherent noncomputability of specific problems.
即使是量子计算机也无法克服某些问题内在的不可计算性。
gödel's incompleteness theorems are closely related to noncomputability in logic.
哥德尔的不完备定理与逻辑中的不可计算性密切相关。
the concept of noncomputability arises when exploring the boundaries of algorithms.
在探索算法边界时，不可计算性的概念就会出现。
researchers debated the noncomputability of true randomness in number generation.
研究人员就数字生成中真正随机性的不可计算性进行了辩论。
demonstrating noncomputability often requires complex mathematical proofs.
证明不可计算性通常需要复杂的数学证明。
understanding noncomputability is essential for theoretical computer science.
理解不可计算性对于理论计算机科学至关重要。
physicists question the role of noncomputability in chaotic systems.
物理学家质疑不可计算性在混沌系统中的作用。
noncomputability implies that no algorithm can solve the problem for all cases.
不可计算性意味着没有任何算法能够解决所有情况下的问题。
penrose argued that human consciousness relies on noncomputability.
Penrose 认为人类意识依赖于不可计算性。
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