The problem is
decidable, which means there is an algorithm that can determine whether any given input is a valid solution.
这个问题是可判定的,这意味着存在一个算法可以确定任何给定输入是否为有效解。
In computer science, many problems are
decidable, but some are un
decidable, meaning there is no algorithm that can solve them.
在计算机科学中,许多问题都是可判定的,但有些问题是不可判定的,意味着不存在能解决它们的算法。
The halting problem is one of the most famous un
decidable problems in computer science.
停机问题是计算机科学中最著名的不可判定问题之一。
Decidability is an important concept in logic and theoretical computer science.
可判定性是逻辑和理论计算机科学中的一个重要概念。
The decidability of a problem depends on the computational model used to solve it.
一个问题的可判定性取决于用于求解它的计算模型。
Many problems in algebra and number theory are
decidable, such as the solvability of polynomial equations.
代数和数论中的许多问题都是可判定的,例如多项式方程的可解性。
The decidability of a problem can be proved by providing an algorithm that solves it.
通过提供解决该问题的算法来证明问题的可判定性。
Some
decidable problems have efficient algorithms, while others may require exponential time to solve.
一些可判定问题有高效的算法,而其他问题可能需要指数时间来解决。
In artificial intelligence, the decidability of certain tasks, such as planning and reasoning, is still an open research question.
在人工智能中,某些任务(如规划和推理)的可判定性仍然是一个开放的研究问题。
The decidability of a problem can sometimes be determined by reducing it to another problem whose decidability is already known.
有时可以通过将问题归约到另一个已知可判定性的问题上来确定问题的可判定性。
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