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The most fundamental problem considered in algorithms for text processing is pattern matching: given a pattern $p$ of length $m$ and a text $t$ of length $n$, does $p$ occur in $t$? Multiple versions of this basic question have been…

数据结构与算法 · 计算机科学 2021-11-10 Moses Ganardi , Paweł Gawrychowski

Two strings are considered to have parameterized matching when there exists a bijection of the parameterized alphabet onto itself such that it transforms one string to another. Parameterized matching has application in software duplication…

数据结构与算法 · 计算机科学 2024-12-03 Apurba Saha , Iftekhar Hakim Kaowsar , Mahdi Hasnat Siyam , M. Sohel Rahman

The classical pattern matching asks for locating all occurrences of one string, called the pattern, in another, called the text, where a string is simply a sequence of characters. Due to the potential practical applications, it is desirable…

数据结构与算法 · 计算机科学 2024-10-30 Jonas Ellert , Paweł Gawrychowski , Adam Górkiewicz , Tatiana Starikovskaya

In this paper we describe two simple, fast, space-efficient algorithms for finding all matches of an indeterminate pattern $p = p[1..m]$ in an indeterminate string $x = x[1..n]$, where both $p$ and $x$ are defined on a "small" ordered…

数据结构与算法 · 计算机科学 2024-02-19 Hossein Dehghani , Neerja Mhaskar , W. F. Smyth

The parameterized matching problem is a variant of string matching, which is to search for all parameterized occurrences of a pattern $P$ in a text $T$. In considering matching algorithms, the combinatorial natures of strings, especially…

数据结构与算法 · 计算机科学 2023-06-21 Haruki Ideguchi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

We have proved that for any pattern p the tail recursive program model of naive pattern matching may be automatically specialized w.r.t. the pattern p to a specialized version of the so-called KMP-algorithm, using the Higman-Kruskal…

计算机科学中的逻辑 · 计算机科学 2021-08-25 Andrei P. Nemytykh

Given strings $P$ and $Q$ the (exact) string matching problem is to find all positions of substrings in $Q$ matching $P$. The classical Knuth-Morris-Pratt algorithm [SIAM J. Comput., 1977] solves the string matching problem in linear time…

数据结构与算法 · 计算机科学 2010-09-08 Philip Bille

Term pattern matching is the problem of finding all pattern matches in a subject term, given a set of patterns. Finding efficient algorithms for this problem is an important direction for research [19]. We present a new set automaton…

形式语言与自动机理论 · 计算机科学 2021-06-30 Rick Erkens , Jan Friso Groote

More than 120 algorithms have been developed for exact string matching within the last 40 years. We show by experiments that the \naive{} algorithm exploiting SIMD instructions of modern CPUs (with symbols compared in a special order) is…

数据结构与算法 · 计算机科学 2016-12-06 Jorma Tarhio , Jan Holub , Emanuele Giaquinta

Given a text and a pattern over two types of symbols called constants and variables, the parameterized pattern matching problem is to find all occurrences of substrings of the text that the pattern matches by substituting a variable in the…

数据结构与算法 · 计算机科学 2017-05-29 Yuki Igarashi , Diptarama , Ryo Yoshinaka , Ayumi Shinohara

Given a set of pattern strings $\mathcal{P}=\{P_1, P_2,\ldots P_k\}$ and a text string $S$, the classic dictionary matching problem is to report all occurrences of each pattern in $S$. We study the dictionary problem in the compressed…

数据结构与算法 · 计算机科学 2025-09-04 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

In a previous paper we generalized the Knuth-Morris-Pratt (KMP) pattern matching algorithm and defined a non-conventional kind of RAM, the MP--RAMs (RAMS equipped with extra operations), and designed an O(n) on-line algorithm for solving…

数据结构与算法 · 计算机科学 2021-10-26 Patrick Cegielski , Irene Guessarian , Yuri Matiyasevich

Pattern matching queries on strings can be solved in linear time by Knuth-Morris-Pratt (KMP) algorithm. In 1973, Weiner introduced the suffix tree of a string [FOCS 1973] and showed that the seemingly more difficult problem of computing…

数据结构与算法 · 计算机科学 2024-02-27 Nicola Cotumaccio

Pattern matching is a fundamental process in almost every scientific domain. The problem involves finding the positions of a given pattern (usually of short length) in a reference stream of data (usually of large length). The matching can…

数据结构与算法 · 计算机科学 2022-07-01 Anas Al-okaily , Abdelghani Tbakhi

Pattern matching is one of the fundamental problems in Computer Science. Both the classic version of the problem as well as the more sophisticated version where wildcards can also appear in the input can be solved in almost linear time…

数据结构与算法 · 计算机科学 2025-07-21 Masoud Seddighin , Saeed Seddighin

In this paper, we revisit the much studied problem of Pattern Matching with Swaps (Swap Matching problem, for short). We first present a graph-theoretic model, which opens a new and so far unexplored avenue to solve the problem. Then, using…

数据结构与算法 · 计算机科学 2013-09-19 Pritom Ahmed , Costas S. Iliopoulos , A. S. M. Sohidull Islam , M. Sohel Rahman

In the problem of $\texttt{Generalised Pattern Matching}\ (\texttt{GPM})$ [STOC'94, Muthukrishnan and Palem], we are given a text $T$ of length $n$ over an alphabet $\Sigma_T$, a pattern $P$ of length $m$ over an alphabet $\Sigma_P$, and a…

数据结构与算法 · 计算机科学 2020-01-20 Bartłomiej Dudek , Paweł Gawrychowski , Tatiana Starikovskaya

Efficient pattern matching is fundamental for practical term rewrite engines. By preprocessing the given patterns into a finite deterministic automaton the matching patterns can be decided in a single traversal of the relevant parts of the…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Rick Erkens , Maurice Laveaux

The $d$-dimensional pattern matching problem is to find an occurrence of a pattern of length $m \times \dots \times m$ within a text of length $n \times \dots \times n$, with $n \ge m$. This task models various problems in text and image…

量子物理 · 物理学 2015-08-27 Ashley Montanaro

Given a text $T$ and a pattern $P$ over alphabet $\Sigma$, the classic exact matching problem searches for all occurrences of pattern $P$ in text $T$. Unlike exact matching problem, order-preserving pattern matching (OPPM) considers the…

数据结构与算法 · 计算机科学 2017-05-29 Davaajav Jargalsaikhan , Diptarama , Ryo Yoshinaka , Ayumi Shinohara
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