What makes a programming language Turing-complete?
A programming language is Turing complete if you can implement any possible algorithm with it. Think for example of pure HTML. However, most programming languages out there are Turing complete and if you were to create your own programming language you would probably make it Turing complete by accident.
What is considered as Turing-complete?
In computability theory, a system of data-manipulation rules (such as a computer’s instruction set, a programming language, or a cellular automaton) is said to be Turing-complete or computationally universal if it can be used to simulate any Turing machine. Virtually all programming languages today are Turing-complete.
How do you prove a language is Turing-complete?
Typically, one proves a given language is Turing-complete by providing a recipe for translating any given Turing machine program into an equivalent program in the language in question. Alternately, one can provide a translation scheme from another language, one that has already been proven to be Turing-complete.
How is Minesweeper Turing-complete?
The proof was by making suitable minesweeper configurations simulate digital computers, with logic gates such as and and not gates. This is reminiscent of John Conway’s game of life [2] which was proved to be Turing complete by similar means [1].
Why is ethereum Turing-complete?
Ethereum, on the other hand, is built as a Turing Complete blockchain. This is important because it needs to understand the agreements which make up smart contracts. By being Turing Complete, Ethereum has the capability to understand and implement any future agreement, even those that have not been thought of yet.
Is natural language Turing-complete?
No, natural languages aren’t Turing complete in the same way onions are not. Quoting Wikipedia: A computational system that can compute every Turing-computable function is called Turing-complete (or Turing-powerful).
How do you make something Turing complete?
In general, for an imperative language to be Turing-complete, it needs:
- A form of conditional repetition or conditional jump (e.g., while , if + goto )
- A way to read and write some form of storage (e.g., variables, tape)
What is meant by Turing test?
The Turing Test is a deceptively simple method of determining whether a machine can demonstrate human intelligence: If a machine can engage in a conversation with a human without being detected as a machine, it has demonstrated human intelligence.
What are flags in Minesweeper?
When you uncover a square, it will display a number that describes how many mines are in the surrounding eight squares. You can place a flag on a square to signify that it has a mine under it. You do not need to place flags to win, but they sure are helpful!
What does it take to make a language Turing complete?
In general, for an imperative language to be Turing-complete, it needs: A form of conditional repetition or conditional jump (e.g., while, if+goto) A way to read and write some form of storage (e.g., variables, tape) For a lambda-calculus–based functional language to be TC, it needs:
What is Turing completeness in Computer Science?
Turing completeness is a concept from theoretical computer science. It tells you how powerful a programming language is. Not in terms of performance or maintainability or how rich its ecosystem is. A programming language is Turing complete if you can implement any possible algorithm with it.
What are some examples of things that are Turing complete?
In fact a lot of stuff that’s not even a programming language later on turned out to be Turing complete. For example Minecrafts redstone blocks, Conways game of life, the animation feature in PowerPoint and more. Yes, that means you can entirely implement Googles search algorithm with PowerPoint animations.
Is I/O required for Turing-completeness?
Strictly speaking, I/O is not required for Turing-completeness; TC only asserts that a language can computethe function you want, not that it can showyou the result. In practice, every useful language has a way of interacting with the world somehow. Share Improve this answer