Is context-sensitive language recursive?

Is context-sensitive language recursive?

Context sensitive languages are closed under union, intersection, complement, concatenation, kleene star, reversal. Every Context sensitive language is recursive.

What languages are recursive?

A recursive language is a formal language for which there exists a Turing machine that, when presented with any finite input string, halts and accepts if the string is in the language, and halts and rejects otherwise.

How do you know if a language is recursive?

A language is recursive if there exists a Turing machine that accepts every string of the language and rejects every string (over the same alphabet) that is not in the language. Note that, if a language L is recursive, then its complement -L must also be recursive.

Which mathematical model is for context-sensitive language?

Equivalence to linear bounded automaton (Myhill introduced the concept of deterministic LBA in 1960. Peter S. Landweber published in 1963 that the language accepted by a deterministic LBA is context sensitive. Kuroda introduced the notion of non-deterministic LBA and the equivalence between LBA and CSGs in 1964.)

Is complement of CSL is CSL?

Context-sensitive Language: The language that can be defined by context-sensitive grammar is called CSL. Properties of CSL are : Union, intersection and concatenation of two context-sensitive languages is context-sensitive. Complement of a context-sensitive language is context-sensitive.

Is every CFL is CSL?

Every CFL is CSL , every CSL is recursive, and every recursive language is recursive enumerable language. So, complement of a CFL may not be CFL but that will be CSL sure, means, recursive as well as recursive enumerable language.

Are all decidable languages recursive?

All decidable languages are recursive languages and vice-versa.

What do you mean by context-sensitive language?

In formal language theory, a context-sensitive language is a language that can be defined by a context-sensitive grammar (and equivalently by a noncontracting grammar). Context-sensitive is one of the four types of grammars in the Chomsky hierarchy.

What do you mean by context sensitive language?

Is every regular language recursive?

A language is recursive if it is the set of strings accepted by some TM that halts on every input. For example, any regular language is recursive. Fact.

Which machine recognize context-sensitive languages?

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