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  2. Thompson's construction - Wikipedia

    en.wikipedia.org/wiki/Thompson's_construction

    The algorithm works recursively by splitting an expression into its constituent subexpressions, from which the NFA will be constructed using a set of rules. [3] More precisely, from a regular expression E, the obtained automaton A with the transition function Δ [clarification needed] respects the following properties:

  3. Regular expression - Wikipedia

    en.wikipedia.org/wiki/Regular_expression

    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. Usually such patterns are used by string-searching algorithms for "find" or "find and replace" operations on strings , or for input validation .

  4. Comparison of regular expression engines - Wikipedia

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

    Regular Expression Flavor Comparison – Detailed comparison of the most popular regular expression flavors; Regexp Syntax Summary; Online Regular Expression Testing – with support for Java, JavaScript, .Net, PHP, Python and Ruby; Implementing Regular Expressions – series of articles by Russ Cox, author of RE2; Regular Expression Engines

  5. Kleene's algorithm - Wikipedia

    en.wikipedia.org/wiki/Kleene's_algorithm

    By induction on k, it can be shown that the length [5] of each expression R k ij is at most ⁠ 1 / 3 ⁠ (4 k+1 (6s+7) - 4) symbols, where s denotes the number of characters in Σ. Therefore, the length of the regular expression representing the language accepted by M is at most ⁠ 1 / 3 ⁠ (4 n+1 (6s+7)f - f - 3) symbols, where f denotes ...

  6. Nondeterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_finite...

    NFAs are used in the implementation of regular expressions: Thompson's construction is an algorithm for compiling a regular expression to an NFA that can efficiently perform pattern matching on strings. Conversely, Kleene's algorithm can be used to convert an NFA into a regular expression (whose size is generally exponential in the input ...

  7. Digital Signature Algorithm - Wikipedia

    en.wikipedia.org/wiki/Digital_Signature_Algorithm

    The Digital Signature Algorithm (DSA) is a public-key cryptosystem and Federal Information Processing Standard for digital signatures, based on the mathematical concept of modular exponentiation and the discrete logarithm problem. In a public-key cryptosystem, a pair of private and public keys are created: data encrypted with either key can ...

  8. Test oracle - Wikipedia

    en.wikipedia.org/wiki/Test_Oracle

    A consistency oracle compares the results of one test execution to another for similarity. [16] This is another example of a derived test oracle. An oracle for a software program might be a second program that uses a different algorithm to evaluate the same mathematical expression as the product under test. This is an example of a pseudo-oracle ...

  9. Deterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Deterministic_finite_automaton

    [2] [3] The figure illustrates a deterministic finite automaton using a state diagram. In this example automaton, there are three states: S 0, S 1, and S 2 (denoted graphically by circles). The automaton takes a finite sequence of 0s and 1s as input. For each state, there is a transition arrow leading out to a next state for both 0 and 1.