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  2. Pattern matching - Wikipedia

    en.wikipedia.org/wiki/Pattern_matching

    Here, 0 is a single value pattern. Now, whenever f is given 0 as argument the pattern matches and the function returns 1. With any other argument, the matching and thus the function fail. As the syntax supports alternative patterns in function definitions, we can continue the definition extending it to take more generic arguments:

  3. Regular expression - Wikipedia

    en.wikipedia.org/wiki/Regular_expression

    In Java and Python 3.11+, [40] quantifiers may be made possessive by appending a plus sign, which disables backing off (in a backtracking engine), even if doing so would allow the overall match to succeed: [41] While the regex ".*" applied to the string

  4. String-searching algorithm - Wikipedia

    en.wikipedia.org/wiki/String-searching_algorithm

    A string-searching algorithm, sometimes called string-matching algorithm, is an algorithm that searches a body of text for portions that match by pattern. A basic example of string searching is when the pattern and the searched text are arrays of elements of an alphabet ( finite set ) Σ.

  5. Rabin–Karp algorithm - Wikipedia

    en.wikipedia.org/wiki/Rabin–Karp_algorithm

    Generalizations of the same idea can be used to find more than one match of a single pattern, or to find matches for more than one pattern. To find a single match of a single pattern, the expected time of the algorithm is linear in the combined length of the pattern and text, although its worst-case time complexity is the product of the two ...

  6. Approximate string matching - Wikipedia

    en.wikipedia.org/wiki/Approximate_string_matching

    With the availability of large amounts of DNA data, matching of nucleotide sequences has become an important application. [1] Approximate matching is also used in spam filtering. [5] Record linkage is a common application where records from two disparate databases are matched. String matching cannot be used for most binary data, such as images ...

  7. Thompson's construction - Wikipedia

    en.wikipedia.org/wiki/Thompson's_construction

    Then, the number of states of A is 2s − c (linear in the size of E). The number of transitions leaving any state is at most two. Since an NFA of m states and at most e transitions from each state can match a string of length n in time O(emn), a Thompson NFA can do pattern matching in linear time, assuming a fixed-size alphabet. [4] [better ...

  8. Trie - Wikipedia

    en.wikipedia.org/wiki/Trie

    Techniques such as alphabet reduction may alleviate the high space complexity by reinterpreting the original string as a long string over a smaller alphabet i.e. a string of n bytes can alternatively be regarded as a string of 2n four-bit units and stored in a trie with sixteen pointers per node. However, lookups need to visit twice as many ...

  9. Boyer–Moore string-search algorithm - Wikipedia

    en.wikipedia.org/wiki/Boyer–Moore_string-search...

    Then if P is shifted to k 2 such that its left end is between c and k 1, in the next comparison phase a prefix of P must match the substring T[(k 2 - n)..k 1]. Thus if the comparisons get down to position k 1 of T, an occurrence of P can be recorded without explicitly comparing past k 1. In addition to increasing the efficiency of Boyer–Moore ...