Backus-Naur form

UK/bækəs naʊə fɔːm/US/bækəs naʊɚ fɔɹm/

noun

A formal notation for context-free grammars.

First used 1964.

Meanings

nounBackus-Naur form (countable and uncountable, plural Backus-Naur forms)

plural Backus-Naur forms

  1. countableuncountablecomputingA formal notation for context-free grammars.First known use 1964.
    3 more examples

    While context-free grammars (which, by the way, directly correspond to Backus-Naur forms) define the syntax of declarations, statements, and expressions, etc. (i.e. the structure of a program), the regular grammars define the syntax of identifiers, numbers, strings, etc. (i.e., the basic symbols of the language).

    1991, Bernd Teufel, Organization of Programming Languages, Springer, page 26

    2004, Jason H. Moore, Lance W. Hahn, Systems Biology Modeling in Human Genetics Using Petri Nets and Grammatical Evolution, Kalyanmoy Deb, et. al. (editors), Genetic and Evolutionary Computation, GECCO 2004, Proceedings, Part 1, Springer, LNCS 3102, page 396, Here, a Backus-Naur Form (BNF) grammar is specified that allows a computer program or model to be constructed by a simple genetic algorithm operating on an array of bits.

    The most common syntactic metalanguage adopted in the computing world is Extended Backus-Naur Form (EBNF). There are many slightly different variants of EBNF, but all of them are based on Backus-Naur Form (BNF), developed in the 1960s for describing the syntax of the Fortran and Algol 60 programming languages.

    2011, Airi Salminen, Frank Tompa, Communicating with XML, Springer, page 215

    Synonyms: Backus normal form, BNF

Synonyms & antonyms

nounA formal notation for context-free grammars.

Origin

From the names of computer science pioneers John Backus and Peter Naur. The notation was developed by Backus in 1959 (as Backus normal form) to describe computer languages, specifically ALGOL 58, and expanded and used by Naur in the ALGOL 60 report (the result of a January 1960 meeting). The name change to Backus-Naur form was at the suggestion of Donald Knuth.

Full word history & related roots →

Translations

Esperanto formo de Backus-Naur
  • formo de Backus-Naura formal notation for context-free grammars
Icelandic Backus-Naur-ritháttur, Backus-Naur ritháttur
  • Backus-Naur-ritháttura formal notation for context-free grammars
  • Backus-Naur ritháttura formal notation for context-free grammars
Cite this entry
APA

Backus-Naur form. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Backus-Naur%20form

MLA

“Backus-Naur form.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Backus-Naur%20form. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Backus-Naur form,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Backus-Naur%20form.

Source: Backus-Naur form on Wiktionary, CC BY-SA 4.0.