Are natural languages 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).

Can turing machine accept all languages?

The turing machine accepts all the language even though they are recursively enumerable. Recursive means repeating the same set of rules for any number of times and enumerable means a list of elements.

What type of language is accepted by turing machine?

Recursive Enumerable Languages
Turing Machine was invented by Alan Turing in 1936 and it is used to accept Recursive Enumerable Languages (generated by Type-0 Grammar). A turing machine consists of a tape of infinite length on which read and writes operation can be performed.

Can a language be Turing-complete without recursion?

The features used to achieve Turing completeness can be quite different; Fortran systems would use loop constructs or possibly even goto statements to achieve repetition; Haskell and Prolog, lacking looping almost entirely, would use recursion. Even pure functional languages are Turing-complete.

Is English Turing recognizable?

Intuitively it makes sense that English is Turing complete, since you can talk someone through building a Turing machine.

Is natural language Decidable?

Natural language is, in principle, a Turing-decidable language. Therefore, from an operational or practical point of view, natural language is Turing-decidable.

Which languages are not accepted by Turing machine?

2. The Universal Language L. We have seen one language, the diagonalization language, that is not accepted by any Turing machine. This proves the diagonalization language is not recursively enumerable.

Is it true that the language accepted by a non deterministic Turing machine is different from recursively enumerable language?

A TM accepts a language if it enters into a final state for any input string w. A language is recursively enumerable (generated by Type-0 grammar) if it is accepted by a Turing machine. Such TM accepts the language, but it does not decide it.

Can Turing machine be viewed as language acceptor?

Turing Machine as an Acceptor The Turing machine can be considered as an accepting device accepting sets of strings. Later we shall see that Turing machines accept the family of languages generated by type 0 grammars. The set accepted by a Turing machine is called a recursively enumerable set.

Is machine learning Turing-complete?

By the strict definition, no computer system nowadays is Turing complete because none of them will be able to simulate the infinite tape.