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What are the properties of context-sensitive language?

What are the properties of context-sensitive language?

Context sensitive languages are closed under union, intersection, complement, concatenation, kleene star, reversal. Every Context sensitive language is recursive. Proof for other closure properties There is a recursive language that is not context-sensitive.

Is English a context-sensitive language?

The question whether English is a context-free language has for some time been regarded as an open one. Since context-free languages are closed under intersection with regular sets, that L ∩ English is not a context-free language proves that English is not a context-free language either.

Why C language is context-sensitive?

C and C++ are context-sensitive languages. There are several reasons: C and C++ lexers require lexical feedback to differentiate between typedef names and identifiers. That is, the context-sensitive lexer needs help from the “context-free” parser to distinguish between an identifier “foo” and a typedef name “foo”.

What is the difference between context-free and context-sensitive language?

Informally, a CFG is a grammar where any nonterminal can be expanded out to any of its productions at any point. A context-sensitive grammar (CSG) is a grammar where each production has the form wAx → wyx, where w and x are strings of terminals and nonterminals and y is also a string of terminals.

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 is context-sensitive grammar with example?

A context-sensitive grammar (CSG) is a formal grammar in which the left-hand sides and right-hand sides of any production rules may be surrounded by a context of terminal and nonterminal symbols.

How do you know if a grammar is context-sensitive?

A formal language can be described by a context-sensitive grammar if and only if it is accepted by some linear bounded automaton (LBA).

What is context free language with example?

In formal language theory, a context-free language (CFL) is a language generated by a context-free grammar (CFG). Context-free languages have many applications in programming languages, in particular, most arithmetic expressions are generated by context-free grammars.

Why is context sensitivity important?

A context-sensitive approach allows ADB to understand and predict how our operations may impact this environment and program in a way that maximize benefits and minimize negative impacts.

What is context sensitive grammar with example?

What are the properties of a context sensitive grammar?

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.

How to define a context sensitive language in CSL?

G = {N, Σ, P, S}, Where Context-sensitive Language: The language that can be defined by context-sensitive grammar is called CSL. Properties of CSL are :

Which is an example of a linear bounded automata?

Linear Bounded Automata Linear Bounded Automata (LBA) is a single tape Turing Machine with two special tape symbols call them left marker < and the right marker >. The transitions should satisfy these conditions: It should not replace the marker symbols by any other symbol.