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  2. Regular expression - Wikipedia

    en.wikipedia.org/wiki/Regular_expression

    Regular expression. Blue highlights show the match results of the regular expression pattern: /r[aeiou]+/g (lower case r followed by one or more lower-case vowels). A regular expression (shortened as regex or regexp ), [ 1] sometimes referred to as rational expression, [ 2][ 3] is a sequence of characters that specifies a match pattern in text.

  3. Induction of regular languages - Wikipedia

    en.wikipedia.org/wiki/Induction_of_regular_languages

    As an example, given {1, 10, 100}, a "natural" description could be the regular expression 10 *, corresponding to the informal characterization "a 1 followed by arbitrarily many (maybe even none) 0's". However, (0+1) * and 1+(10)+(100) is another regular expression, denoting the largest (assuming Σ = {0,1}) and the smallest set ...

  4. Kleene's algorithm - Wikipedia

    en.wikipedia.org/wiki/Kleene's_algorithm

    ij is represented by a regular expression; the algorithm computes them step by step for k = -1, 0, ..., n. Since there is no state numbered higher than n, the regular expression R n 0j represents the set of all strings that take M from its start state q 0 to q j. If F = { q 1,...,q f} is the set of accept states, the regular expression R n 01 ...

  5. Regular language - Wikipedia

    en.wikipedia.org/wiki/Regular_language

    Regular language. In theoretical computer science and formal language theory, a regular language (also called a rational language) [ 1][ 2] is a formal language that can be defined by a regular expression, in the strict sense in theoretical computer science (as opposed to many modern regular expression engines, which are augmented with features ...

  6. Kleene algebra - Wikipedia

    en.wikipedia.org/wiki/Kleene_algebra

    A Kleene algebra is a set A together with two binary operations + : A × A → A and · : A × A → A and one function * : A → A, written as a + b, ab and a* respectively, so that the following axioms are satisfied. Identity elements for + and ·: There exists an element 0 in A such that for all a in A: a + 0 = 0 + a = a.

  7. Thompson's construction - Wikipedia

    en.wikipedia.org/wiki/Thompson's_construction

    Thompson's construction. In computer science, Thompson's construction algorithm, also called the McNaughton–Yamada–Thompson algorithm, [1] is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). [2] This NFA can be used to match strings against the regular expression.

  8. Pumping lemma for regular languages - Wikipedia

    en.wikipedia.org/wiki/Pumping_lemma_for_regular...

    Specifically, the pumping lemma says that for any regular language , there exists a constant such that any string in with length at least can be split into three substrings , and ( , with being non-empty), such that the strings are also in . The process of repeating zero or more times is known as "pumping".

  9. Comparison of regular expression engines - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_regular...

    Python has two major implementations, the built in re and the regex library. Ruby 1.8, Ruby 1.9, and Ruby 2.0 and later versions use different engines; Ruby 1.9 integrates Oniguruma, Ruby 2.0 and later integrate Onigmo, a fork from Oniguruma. The primary regex crate does not allow look-around expressions.