What is context-sensitive grammar in compiler design?

What is context-sensitive grammar in compiler design?

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 grammar is context-free if left-hand sides of all productions contain exactly one non-terminal symbol. By definition, if one exists, then the language is context-free. An equivalent construct would be a pushdown automaton. It’s the same as DFA, but with a stack available.

What is the difference between CFL and CSL?

CSL – Context Sensitive Language generated by Context Sensitive Grammar and accepted by a Linear bounded automata. CFL – Context Free Language generated by Context Free Language and accepted by a Push Down Automata.

What is CSL in TOC?

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 CSL closed under complement?

Context sensitive languages are closed under union, intersection, complement, concatenation, kleene star, reversal.

Which model is accepted context-sensitive grammar?

Chomsky Classification of Grammars

Grammar Type Grammar Accepted Automaton
Type 0 Unrestricted grammar Turing Machine
Type 1 Context-sensitive grammar Linear-bounded automaton
Type 2 Context-free grammar Pushdown automaton
Type 3 Regular grammar Finite state automaton

Which automata is associated with context-sensitive language?

L can be shown to be a context-sensitive language by constructing a linear bounded automaton which accepts L. The language can easily be shown to be neither regular nor context free by applying the respective pumping lemmas for each of the language classes to L.

Is the corresponding automata for context-sensitive language?

An example of a context-sensitive language accepted by a linear-bounded automaton is the copy language xcx. The family of recursively enumerable languages includes the context-sensitive languages, which in turn includes the context-free, which finally includes the regular, or finite-state, languages.

Is every CFL is CSL?

CFL is a strict subset of CSL. CSL is closed under complement. So, CFL complement is CSL.

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

In context sensitive grammar, there is either left context or right context (αAβ i.e. α is left context and β is right) with variables. But in context free grammar (CFG) there will be no context. We cannot replace B until we get B0.

What is a difference between context free grammar and context-sensitive grammar?

Is complement of CFL CFL?

Neither statement is true. The complement of a context-free language can be context-free or not; the complement of a non-context free language can be context-free or not. Every regular language is context-free. Regular languages are closed under complement, so the complement of a regular language is regular.