Maths encyclopedia and lessons  
Search

Mathematics Encyclopedia and Lessons

 
     
 

Lessons

Popular
Subjects

algebra
arithmetic
calculus
equations
geometry
differential equations
trigonometry
number theory
probability theory
more
 

References

applied mathematics
mathematical games
mathematicians
more
 
 

Extended Backus-Naur form

The Extended Backus-Naur form (EBNF) is any variation on the basic Backus-Naur form (BNF) metasyntax notation with (some of) the following additional constructs:

  • square brackets "[..]" surrounding optional items,
  • suffix "*" for Kleene closure (a sequence of zero or more of an item), suffix "+" for one or more of an item, curly brackets enclosing a list of alternatives,
  • super/subscripts indicating between n and m occurrences.

When Niklaus Wirth was developing Pascal, he simplified Backus-Naur Form to create EBNF.

All these constructs can be expressed in plain BNF using extra productions and have been added for readability and succinctness.

There is an International standard (ISO 14977) that defines an EBNF. A draft is freely available from http://www.cl.cam.ac.uk/~mgk25/iso-ebnf.html. This draft document has some mistakes in it. Throughout the text, as well as in the comments of the examples, `meta-identifiers' are `written as one or more words joined together by hyphens' (as stated in section 4). On the other hand, all examples (except the comments) use spaces to separate several words.

The W3C used a different EBNF to specify the XML syntax.

See also

  • Syntax diagram
  • Spirit Parser Framework

References

External links

01-04-2007 01:18:14
The contents of this article are licensed from Wikipedia.org
under the GNU Free Documentation License. How to see transparent copy