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

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

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. Therefore, CSG is harder to understand than the CFG.

What is the difference between CFG and CFL?

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.

Are context-sensitive languages context free?

Context-sensitive grammars are more general than context-free grammars, in the sense that there are languages that can be described by CSG but not by context-free grammars. Context-sensitive grammars are less general (in the same sense) than unrestricted grammars.

Is there any difference between RL and CFL justify your answer?

Regular grammar is either right or left linear, whereas context free grammar is basically any combination of terminals and non-terminals. Hence you can see that regular grammar is a subset of context-free grammar.

What is the difference between CFG and regular language?

The language it generates is called Regular Language.

Difference between Context Free Grammar and Regular Grammar.

Parameter Context Free Grammar Regular Grammar
Range The range of languages that come under CFG is wide. The range of languages that come under RG is less than CFG.
Examples S –> AB;A –> a;B –> b S -> aS | bS | ∊

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

A language is context sensitive if and only if it can be generated by a noncontracting grammar. That every context-sensitive language can be generated by a noncontracting grammar is immediate, since context-sensitive grammars are, by definition, noncontracting.

Why is CFG better than re?

The main difference between regular expression and context free grammar is that the regular expressions help to describe all the strings of a regular language while the context free grammar helps to define all possible strings of a context free language.

Are context-free languages finite?

(1) There are a countably infinite number of context-free languages. This true because every description of a context-free language is of finite length, so there are a countably infinite number of such descriptions.

What is meant 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.

Are all context-free languages finite?

Theorem: There exist languages that are not context-free. Proof: (1) There are a countably infinite number of context-free languages. This true because every description of a context-free language is of finite length, so there are a countably infinite number of such descriptions.

What is context-sensitive language with example?

Properties of Context Sensitive Language

Type Language Automata Machine
Type 0 Recursively Enumerable Turing Machine
Type 1 Context Sensitive Linear Bounded Automaton
Type 2 Context Free Pushdown Automaton
Type 3 Regular Finite State Automaton

Is Python a context free language?

Python is not a context free language.

What are the limitations of context free grammar?

Limitations of Context Free Grammar:

Lexical rules are difficult in case of Context free grammar. Notations in Context free grammar are quite complex. By using the context free grammar, it is very difficult to construct the recognizer.

How do you know if a language is context-free?

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.

Is English a context-free language?

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.

What is context free language with example?

Context-Free Language (CFL) is a language which is generated by a context-free grammar or Type 2 grammar(according to Chomsky classification) and gets accepted by a Pushdown Automata. Some very much important properties of a context-free language is: Regularity- context-free languages are Non-Regular PDA language.

How do you write a context-sensitive language?

What is a Context-Sensitive Grammar/Language? + Example

Is SQL a context-free grammar?

To answer your question though, SQL is not a regular language. Does SQL uses both regular and context free grammar contexts? In that case, being an intersection of both, it is still context free. Just to clarify, a language is context-free when it is generated by a context-free grammar.

Is Java a context-free grammar?

The Java Language Specification (Gosling, Joy, Steele 1996) includes three “context-free grammars”: the lexical grammar; the syntactic grammar; an LALR(1) version of the syntactic grammar.

Why is it called context free grammar?

Context-free grammars are named as such because any of the production rules in the grammar can be applied regardless of context—it does not depend on any other symbols that may or may not be around a given symbol that is having a rule applied to it.

Is Java a context free grammar?

What languages are not context-free?

| i > j > k } is not context free. A point to remember is counting and comparison could only be done with the top of stack and not with bottom of stack in Push Down Automata, hence a language exhibiting a characteristic that involves comparison with bottom of stack is not a context free language. } is not context free.

What are the 7 properties of context-free grammar?

Compiler Tutorial.

  • Basic Parsing.
  • Predictive Parsers.
  • SDT.
  • Symbol Tables.
  • Administration.
  • Error Detection.
  • Code Generation.
  • Which machine recognize context sensitive languages?

    Turing machines
    Context-sensitive grammars are one such class. These grammars generate languages that can be recognized with a restricted class of Turing machines called linear-bounded automata. A grammar G = (V, T, S, P) is context-sensitive if all productions are of the form , where and .

    Can we convert CFG to regular grammar?

    It is not possible to convert every CFG into a regular expression.

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