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Chomskian
hierarchy of
languages
-Sampath Kumar S,
AP/CSE, SECE
Language an Introduction
 Noam Chomsky gave a mathematical model of
grammar in 1956 which is effective for writing
computer languages.
11/21/2017
Sampath Kumar S, AP/CSE, SECE
2
Chomsky Classification of Language
According to Noam Chomosky, there are four types
of language
1. Type 0
2. Type 1
3. Type 2 and
4. Type 3.
11/21/2017
Sampath Kumar S, AP/CSE, SECE
3
Chomsky Classification of Language
The following table shows how they differ from each
other
11/21/2017
Sampath Kumar S, AP/CSE, SECE
4
Grammar
Type
Grammar
Accepted
Language Accepted Automaton
Type 0
Unrestricted
grammar
Recursively enumerable
language
Turing Machine
Type 1
Context-sensitive
grammar
Context-sensitive
language
Linear - Bounded
automaton
Type 2
Context-free
grammar
Context-free language
Pushdown
automaton
Type 3 Regular grammar Regular language
Finite state
automaton
Illustration
11/21/2017
Sampath Kumar S, AP/CSE, SECE
5
11/21/2017
Sampath Kumar S, AP/CSE, SECE
7
நன்றி
11/21/2017
Sampath Kumar S, AP/CSE, SECE
8

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4.7. chomskian hierarchy of languages

Editor's Notes

  1. School of EECS, WSU