Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this report, certain properties of context-free (CF or type 2) grammars are investigated, like that of Chomsky. In particular, questions regarding structure, possible ambiguity and relationship to finite automata are considered. The following results are presented:   The language generated by a context-free grammmar is linear in a sense that is defined precisely.    The requirement of unambiguity—that every sentence has a unique phrase structure—akens the grammar in the sense that there exists a CF language that cannot be generated unambiguously by a CF grammar.    The result that not every CF language is a finite automaton (FA) language is improved in the following way. There exists a CF language  L  such that for any  L′  ⊆  L , if  L′  is FA, an  L″  ⊆  L  can be found such that  L″  is also FA, L′ ⊆  L″  and  L″  contains infinitely many sentences not in  L′ .    A type of grammar is defined that is intermediate beten type 1 and type 2 grammars. It is shown that this type of grammar is essentially stronger than type 2 grammars and has the advantage over type 1 grammars that the phrase structure of a grammatical sentence is unique, once the derivation is given.
['Rohit Parikh']
I am writing a research paper on a idea On Context-Free Languages
[{"from": "human", "value": "I am writing a research paper on a idea On Context-Free Languages"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: In this report, certain properties of context-free (CF or type 2) grammars are investigated, like that of Chomsky. In particular, questions regarding structure, possible ambiguity and relationship to finite automata are considered. The following results are presented:   The language generated by a context-free grammmar is linear in a sense that is defined precisely.    The requirement of unambiguity\u2014that every sentence has a unique phrase structure\u2014akens the grammar in the sense that there exists a CF language that cannot be generated unambiguously by a CF grammar.    The result that not every CF language is a finite automaton (FA) language is improved in the following way. There exists a CF language  L  such that for any  L\u2032  \u2286  L , if  L\u2032  is FA, an  L\u2033  \u2286  L  can be found such that  L\u2033  is also FA, L\u2032 \u2286  L\u2033  and  L\u2033  contains infinitely many sentences not in  L\u2032 .    A type of grammar is defined that is intermediate beten type 1 and type 2 grammars. It is shown that this type of grammar is essentially stronger than type 2 grammars and has the advantage over type 1 grammars that the phrase structure of a grammatical sentence is unique, once the derivation is given."}]