斯蒂芬·庫克
NP完全性理論的創(chuàng)立
The concept of a Turing machine is foundational to our understanding of computation.
圖靈機(jī)的概念是我們理解計(jì)算的基礎(chǔ)。
The future of computing lies in the integration of different fields, such as biology, physics, and mathematics.
計(jì)算的未來在于不同領(lǐng)域的整合，如生物學(xué)、物理學(xué)和數(shù)學(xué)。
The power of abstraction is crucial in computer science, allowing us to focus on the essential aspects of a problem.
抽象的力量在計(jì)算機(jī)科學(xué)中至關(guān)重要，它使我們能夠?qū)Ｗ⒂趩栴}的本質(zhì)方面。
The development of algorithms is both an art and a science.
算法的發(fā)展既是一門藝術(shù)，也是一門科學(xué)。
The theory of computation is deeply connected to the philosophy of mind and the nature of intelligence.
計(jì)算理論與心智哲學(xué)和智能的本質(zhì)有著深刻的聯(lián)系。
The study of computational complexity is not just about solving problems, but also about understanding the limits of what can be computed.
計(jì)算復(fù)雜性的研究不僅僅是關(guān)于解決問題，還在于理解可計(jì)算性的極限。
The concept of NP-completeness has provided a powerful tool for understanding the complexity of problems.
NP完全性的概念為理解問題的復(fù)雜性提供了一個(gè)強(qiáng)大的工具。
A problem is in P if it can be solved quickly by a computer, and in NP if a solution can be verified quickly.
一個(gè)問題如果在計(jì)算機(jī)上可以快速解決，那么它屬于P類問題；如果一個(gè)解可以快速驗(yàn)證，那么它屬于NP類問題。
The essence of computation lies in the transformation of information.
計(jì)算的本質(zhì)在于信息的轉(zhuǎn)換。
The importance of theoretical computer science lies in its ability to provide a foundation for practical applications.
理論計(jì)算機(jī)科學(xué)的重要性在于它能夠?yàn)閷?shí)際應(yīng)用提供基礎(chǔ)。