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992 bytes added ,  22:30, April 8, 2012
→‎Simple example: explain example
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The basic idea of a generative grammar is to provide a set of rules which are capable of generating all possible grammatical sentences in some language; the rules also constrain generation so that only grammatical sentences are generated. The rules can also be used in reverse to parse a sentence and check if it is grammatical.
 
The basic idea of a generative grammar is to provide a set of rules which are capable of generating all possible grammatical sentences in some language; the rules also constrain generation so that only grammatical sentences are generated. The rules can also be used in reverse to parse a sentence and check if it is grammatical.
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==Simple example==
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==Example of a very simple generative grammar==
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The very simple example here is based on one by David Crystal.
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This very simple example can handle only a tiny subset of English and should not be taken seriously as a guide to English grammar or vocabulary. It is based on an example by David Crystal.
 
<ref>{{cite book  
 
<ref>{{cite book  
 
| last = Crystal  
 
| last = Crystal  
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| isbn = 978052126438
 
| isbn = 978052126438
 
| pages = page 97
 
| pages = page 97
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}}</ref> The symbol "->" means "can be replaced by".  When there are several items on the right hand side separated by commas, any one of these items can be selected.
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}}</ref>  
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  ''Sentence''  ->  ''NounPhrase'' ''VerbPhrase''
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The symbol "->" means "can be replaced by".  When there are several items on the right hand side separated by commas, any one of these items can be selected. The comments preceded by "#" are not part of the generative grammar, but hopefully will help folks understand the example a little better.
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  ''NounPhrase'' ->  ''Determiner'' ''Noun''
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  ''VerbPhrase'' ->  ''Verb'' ''NounPhrase''
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  ''Sentence''  ->  ''NounPhrase'' ''VerbPhrase''        # A ''Sentence'' consists of a ''NounPhrase'' followed by a ''VerbPhrase''
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  ''Determiner'' ->  '''a''', '''the'''
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  ''NounPhrase'' ->  ''Determiner'' ''Noun''              # A ''NounPhrase'' consists of a ''Determiner'' followed by a ''Noun''
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  ''Noun''      ->  '''boy''', '''girl''', '''dog'''
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  ''VerbPhrase'' ->  ''Verb'' ''NounPhrase''              # A ''VerbPhrase'' consists of a ''Verb'' followed by a ''NounPhrase''
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  ''Verb''      ->  '''chased''', '''heard''', '''saw'''
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  ''Determiner'' ->  '''a''', '''the'''                        # A ''Determiner''  is either '''a''' or '''the'''
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  ''Noun''      ->  '''boy''', '''girl''', '''dog'''               # A ''Noun'' is one of: '''boy''' or '''girl''' or '''dog''' 
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  ''Verb''      ->  '''chased''', '''heard''', '''saw'''            # A ''Verb'' is one of: '''chased''' or '''heard''' or '''saw'''
    
By making appropriate substitutions we can generate such sentences as:
 
By making appropriate substitutions we can generate such sentences as:
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:The girl heard the dog.
 
:The girl heard the dog.
 
:The boy saw a girl.
 
:The boy saw a girl.
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The stages in the generation of these examples are as follows:
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:''Sentence''
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:''NounPhrase'' ''VerbPhrase''
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:''Determiner'' ''Noun'' ''Verb'' ''NounPhrase''
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:''Determiner'' ''Noun'' ''Verb'' ''Determiner'' ''Noun''
    
==Chomsky hierarchy==
 
==Chomsky hierarchy==
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