Turingvollständiges

Turingvollständiges is a German term that translates to "Turing-complete" in English. It describes a system, such as a programming language, a computational model, or a set of rules, that has the same computational power as a universal Turing machine. This means that any problem that can be solved by an algorithm can be solved by a Turing-complete system.

In essence, a Turing-complete system can simulate any other Turing machine, and therefore, it can perform any computation that is theoretically possible. This is a fundamental concept in computer science and theoretical computing. Examples of Turing-complete systems include most modern programming languages like Python, Java, and C++, as well as cellular automata like Conway's Game of Life, and even some surprisingly simple systems like Minecraft's redstone circuits under certain conditions.

The concept of Turing completeness is important because it defines the limits of what is computationally possible. If a system is not Turing-complete, there are certain problems that it cannot solve, no matter how complex it may seem. Conversely, if a system is Turing-complete, it possesses the maximum possible computational power. The term was coined by Alan Turing, a pioneering mathematician and computer scientist, in his work on computability theory.