A finite language is a formal language containing a finite number of strings. The finite languages are the simplest languages. All finite languages are regular -- if nothing else, one can create a regular expression that is the union of every word in the language, and thus are provably regular. In mathematics, logic and computer science, a formal language is a set of finite-length words (i. ... In mathematics, a set is called finite if and only if there is a bijection between the set and some set of the form {1, 2, ..., n} where is a natural number. ... In computer programming and some branches of mathematics, strings are sequences of various simple objects. ... A regular language is a formal language (i. ... A regular expression (abbreviated as regexp, regex, or regxp, with plural forms regexps, regexes, or regexen) is a string that describes or matches a set of strings, according to certain syntax rules. ... In set theory and other branches of mathematics, the union of a collection of sets is the set that contains everything that belongs to any of the sets, but nothing else. ...
A context-free grammar is a grammar that generates a context-free language.
The automaton serves both as an acceptor for the language (that is, it can decide whether or not any arbitrary sentence is in the language) and as a generator for the language (that is, it can generate any finite sentence in the language in finite time).
This is version 10 of context-free language, born on 2002-02-23, modified 2007-01-20.
L(G) is the notation for a language defined by a grammar G. The grammar G recognizes a certain set of strings, thus a language.
L = L1 intersect L2 The complement of a language is a language.
The language class P is the set of languages for which there exists a deterministic Turing machine that accepts each language in a number of transitions bounded by a fixed polynomial in the length of the input string.
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