Formal versus informal grammars
o  A
formal grammar is a scientific model of a language which describes what is and
is not a grammatical (well-formed) sentence. It attempts to represent what a
speaker of the language knows about its structure; this knowledge knows about
its structure; this knowledge also called a GRAMMAR.
o  A
formal grammar is a model of a speaker`s internal grammar. Formal grammars are
different from the books that you have usually seen called `grammars`, such as
foreign language textbooks. These could be called INFORMAL GRAMMARS. They are
usually easier to understand than formal grammars, but are usually less
precise.
o  Formal
grammars attempt to represent a speaker`s internal grammar much more accurately
and in more detail than is usually done in informal grammar. Since one goal of
a book is to help you think clearly and precisely about languages , it makes
use of formal grammars as tools for describing languages. 
o  The
details of formal grammars are based on a family of related linguistic theories
which are collectively called GENERATIVE GRAMMAR.
o  Generative
grammar conceives of a language`s grammar as a precise set of rule  that specify which utterances are grammatical
in a language and which are not.
o  The
phrase structure rules provide the syntactic structure of  the sentence and the lexicon provides the
vocabulary.
o  Phrase
structure rules provide  precise statements
about which trees are well-formed and which 
are ill-formed, with respect to such things as constituency and word
order. The lexicon provides precise statement about whether the words in a tree
are used in proper contexts, as well as providing information about  their meaning and pronunciation. 
o  In
short, the phrase structure rules build 
the nonterminal nodes of a tree and the lexicon adds the terminal nodes.
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