理解
The concept of reducibility is central to understanding the relationships between different computational problems.
The theory of computation is not just about solving problems, but also about understanding the limits of what can be computed.
The concept of NP-completeness has provided a powerful tool for understanding the complexity of computational problems.
The challenge of computer science is not just to build faster machines, but to understand the very fabric of computational possibility.
The beauty of computational theory lies in its ability to abstract the complexities of the world into manageable and understandable models.
The essence of computation is not just in the manipulation of symbols, but in the profound understanding of what those manipulations represent.
To understand recursion, one must first understand recursion.
The future of computing lies in understanding and harnessing the power of algorithms.
The real challenge in computer science is not to write programs, but to understand the nature of computation.
"In computational learning theory, the challenge is not just to learn, but to understand how learning is possible."
"Understanding the limits of computation is as important as pushing its boundaries."
"Theoretical computer science is not just about solving problems; it's about understanding the nature of computation itself."
The development of quantum computing will require a deep understanding of both physics and computer science.
In the context of computational learning, the concept of 'probably approximately correct' (PAC) learning provides a framework for understanding the efficiency and feasibility of learning algorithms.
Learning is not just about finding patterns, but about understanding the underlying mechanisms that generate those patterns.
In computational learning theory, we seek to understand the fundamental principles that govern learning from data.
"Verification is not just about finding bugs; it's about understanding why the system works the way it does."
To understand computation is to understand the language of the universe, for it is through computation that we model and predict the natural world.
In the world of computation, complexity is not an enemy, but a challenge to be understood and mastered.
Understanding the limits of computation is essential for advancing the field of computer science.