Context-Free or Not?

Natalia_sakic

I have read that there are four types of grammars, and that context sensitive grammars are a type of type 0 grammar. I am wondering if the following is an example of a type 0 grammar that is not context sensitive.S -> aSa | aa

Lyubomila_cherkasenko

No, this is not an example of a type 0 grammar that is not context sensitive. A type 0 grammar is one that is capable of generating all strings in a language, including strings that are infinitely long. This is not the case for context-sensitive grammars, which cannot generate all strings in a language.

Adam936

A type 0 grammar is a grammar that is not context-sensitive. That means that there is no restriction on how many symbols can be produced by a given string of symbols. This makes type 0 grammars very powerful, but also very difficult to work with.