The Turing Computational Model

J. Hartmanis, S. Cook, W. Kahan, R. Stearns, A. Yao
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Abstract

The panel presentations will discuss the beauty and simplicity of the Turing machine formulation of the previously elusive concept of computability and the intuitively satisfying explanation of the power and limitations of computability. They will also review how the Turing machine model provided simple proofs of deep results in logic, including Gödel’s incompleteness theorem. The panel will also examine specifi c results in computer science infl uenced by the Turing machine model as well as how it shaped the development of computational complexity theory. Quantum computing will be discussed and its relationship to the classic Turing machine model. The panel will also discuss what Alan Turing might say about the Inevitable Fallibility of Software.
图灵计算模型
小组报告将讨论图灵机公式的美丽和简单性,以及以前难以捉摸的可计算性概念,以及对可计算性的能力和局限性的直观满意的解释。他们还将回顾图灵机模型如何为逻辑中的深层结果提供简单的证明,包括Gödel的不完备定理。该小组还将研究受图灵机模型影响的计算机科学的具体结果,以及它如何影响计算复杂性理论的发展。将讨论量子计算及其与经典图灵机模型的关系。小组还将讨论艾伦·图灵对软件不可避免的易出错性的看法。
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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