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Many limits derived in terms of physical constants and abstract models of computation in computer science are loose. [12] Very few known limits directly obstruct leading-edge technologies, but many engineering obstacles currently cannot be explained by closed-form limits.
Huang's law – Computer science observation; Koomey's law – Trend indicating the number of computations per unit energy dissipated doubles every 1.57 years; Limits of computation – Overview of the limits of computation; List of eponymous laws – Adages and sayings named after a person; List of laws § Technology
The history of computer science began long before the modern discipline of computer science, ... taking into account limitations on computing ability.
In computer architecture, Amdahl's law (or Amdahl's argument [1]) is a formula that shows how much faster a task can be completed when you add more resources to the system. The law can be stated as: "the overall performance improvement gained by optimizing a single part of a system is limited by the fraction of time that the improved part is ...
The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e., all programs that can be written in some given programming language that is general enough to be equivalent to a Turing machine. The problem is to determine, given a program and an input to the program, whether ...
Closely related fields in theoretical computer science are analysis of algorithms and computability theory. A key distinction between analysis of algorithms and computational complexity theory is that the former is devoted to analyzing the amount of resources needed by a particular algorithm to solve a problem, whereas the latter asks a more ...
Theoretical computer science is a subfield of ... in 1931 Kurt Gödel proved with his incompleteness theorem that there are fundamental limitations on what ...
The tape is allowed to grow to arbitrary size. The Turing machine is capable of performing complex calculations which can have arbitrary duration. This model is perhaps the most important model of computation in computer science, as it simulates computation in the absence of predefined resource limits. Multitape Turing machine