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The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

编程语言 · 计算机科学 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

The edit distance between strings classically assigns unit cost to every character insertion, deletion, and substitution, whereas the Hamming distance only allows substitutions. In many real-life scenarios, insertions and deletions…

数据结构与算法 · 计算机科学 2026-02-23 Elazar Goldenberg , Tomasz Kociumaka , Robert Krauthgamer , Barna Saha

In this work, we consider the problem of pattern matching under the dynamic time warping (DTW) distance motivated by potential applications in the analysis of biological data produced by the third generation sequencing. To measure the DTW…

数据结构与算法 · 计算机科学 2022-09-01 Garance Gourdel , Anne Driemel , Pierre Peterlongo , Tatiana Starikovskaya

In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for…

计算机科学中的逻辑 · 计算机科学 2016-10-28 Vijay Ganesh , Murphy Berzish

We consider the problem of efficiently designing sets (codes) of equal-length DNA strings (words) that satisfy certain combinatorial constraints. This problem has numerous motivations including DNA computing and DNA self-assembly. Previous…

数据结构与算法 · 计算机科学 2007-05-23 Ming-Yang Kao , Manan Sanghi , Robert Schweller

Information leaks are a significant problem in modern computer systems and string manipulation is prevalent in modern software. We present techniques for automated synthesis of side-channel attacks that recover secret string values based on…

软件工程 · 计算机科学 2019-07-30 Seemanta Saha , Ismet Burak Kadron , William Eiers , Lucas Bang , Tevfik Bultan

Given a pattern string $P$ of length $n$ consisting of $\delta$ distinct characters and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet $\Sigma$ of size $\Delta$, the {\em exact string…

数据结构与算法 · 计算机科学 2015-12-14 Srikrishnan Divakaran

We consider compact representations of collections of similar strings that support random access queries. The collection of strings is given by a rooted tree where edges are labeled by an edit operation (inserting, deleting, or replacing a…

数据结构与算法 · 计算机科学 2021-02-12 Philip Bille , Inge Li Gørtz

Edit distance is a measurement of similarity between two sequences such as strings, point sequences, or polygonal curves. Many matching problems from a variety of areas, such as signal analysis, bioinformatics, etc., need to be solved in a…

计算几何 · 计算机科学 2020-09-10 Kyle Fox , Xinyi Li

Let two static sequences of strings $P$ and $S$, representing prefix and suffix conditions respectively, be given as input for preprocessing. For the query, let two positive integers $k_1$ and $k_2$ be given, as well as a string $T$ given…

数据结构与算法 · 计算机科学 2022-11-01 Laurentius Leonard , Shunsuke Inenaga , Hideo Bannai , Takuya Mieno

We consider the following model for sampling pairs of strings: $s_1$ is a uniformly random bitstring of length $n$, and $s_2$ is the bitstring arrived at by applying substitutions, insertions, and deletions to each bit of $s_1$ with some…

数据结构与算法 · 计算机科学 2020-07-08 Arun Ganesh , Aaron Sy

Exact string matching has been a fundamental problem in computer science for decades because of many practical applications. Some are related to common procedures, such as searching in files and text editors, or, more recently, to more…

数据结构与算法 · 计算机科学 2019-07-29 Konstantinos F. Xylogiannopoulos

The edit distance between two rooted ordered trees with $n$ nodes labeled from an alphabet~$\Sigma$ is the minimum cost of transforming one tree into the other by a sequence of elementary operations consisting of deleting and relabeling…

数据结构与算法 · 计算机科学 2017-03-28 Karl Bringmann , Paweł Gawrychowski , Shay Mozes , Oren Weimann

Given a set of strings, the shortest common superstring problem is to find the shortest possible string that contains all the input strings. The problem is NP-hard, but a lot of work has gone into designing approximation algorithms for…

数据结构与算法 · 计算机科学 2019-12-04 Jarno Alanko , Tuukka Norri

Given a pair of strings, the problems of computing their Longest Common Subsequence and Edit Distance have been extensively studied for decades. For exact algorithms, LCS and Edit Distance (with character insertions and deletions) are…

数据结构与算法 · 计算机科学 2019-04-12 Aviad Rubinstein , Zhao Song

We study algorithms for solving three problems on strings. The first one is the Most Frequently String Search Problem. The problem is the following. Assume that we have a sequence of $n$ strings of length $k$. The problem is finding the…

量子物理 · 物理学 2020-01-08 Kamil Khadiev , Artem Ilikaev

Longest common substring (LCS), longest palindrome substring (LPS), and Ulam distance (UL) are three fundamental string problems that can be classically solved in near linear time. In this work, we present sublinear time quantum algorithms…

量子物理 · 物理学 2023-12-29 François Le Gall , Saeed Seddighin

In this paper, we consider the ``Shortest Superstring Problem''(SSP) or the ``Shortest Common Superstring Problem''(SCS). The problem is as follows. For a positive integer $n$, a sequence of n strings $S=(s^1,\dots,s^n)$ is given. We should…

量子物理 · 物理学 2021-12-28 Kamil Khadiev , Carlos Manuel Bosch Machado

Motivated by the imminent growth of massive, highly redundant genomic databases, we study the problem of compressing a string database while simultaneously supporting fast random access, substring extraction and pattern matching to the…

数据结构与算法 · 计算机科学 2012-11-01 Travis Gagie , Paweł Gawrychowski , Christopher Hoobin , Simon J. Puglisi

This study investigates whether reoptimization can help in solving the closest substring problem. We are dealing with the following reoptimization scenario. Suppose, we have an optimal l-length closest substring of a given set of sequences…

数据结构与算法 · 计算机科学 2017-03-21 Jhoirene B. Clemente , Henry N. Adorna