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Core spanners are a class of document spanners that capture the core functionality of IBM's AQL. FC is a logic on strings built around word equations that when extended with constraints for regular languages can be seen as a logic for core…

Logic in Computer Science · Computer Science 2025-01-20 Owen M. Bell , Joel D. Day , Dominik D. Freydenberger

This paper investigates regex CQs with string equalities (SERCQs), a subclass of core spanners. As shown by Freydenberger, Kimelfeld, and Peterfreund (PODS 2018), these queries are intractable, even if restricted to acyclic queries. This…

Databases · Computer Science 2022-01-20 Dominik D. Freydenberger , Sam M. Thompson

Regular expressions and automata models with capture variables are core tools in rule-based information extraction. These formalisms, also called regular document spanners, use regular languages in order to locate the data that a user wants…

Databases · Computer Science 2018-03-15 Fernando Florenzano , Cristian Riveros , Martin Ugarte , Stijn Vansummeren , Domagoj Vrgoc

Regular expressions are a classical concept in formal language theory. Regular expressions in programming languages (RegEx) such as JavaScript, feature non-standard semantics of operators (e.g. greedy/lazy Kleene star), as well as…

The framework of document spanners abstracts the task of information extraction from text as a function that maps every document (a string) into a relation over the document's spans (intervals identified by their start and end indices). For…

Databases · Computer Science 2023-06-22 Johannes Doleschal , Benny Kimelfeld , Wim Martens , Liat Peterfreund

The present paper investigates the dynamic complexity of document spanners, a formal framework for information extraction introduced by Fagin, Kimelfeld, Reiss, and Vansummeren (JACM 2015). We first look at the class of regular spanners and…

Logic in Computer Science · Computer Science 2020-01-10 Dominik D. Freydenberger , Sam M. Thompson

We investigate the complexity of evaluating queries in Relational Algebra (RA) over the relations extracted by regex formulas (i.e., regular expressions with capture variables) over text documents. Such queries, also known as the regular…

Databases · Computer Science 2019-02-07 Liat Peterfreund , Dominik D. Freydenberger , Benny Kimelfeld , Markus Kröll

A document spanner models a program for Information Extraction (IE) as a function that takes as input a text document (string over a finite alphabet) and produces a relation of spans (intervals in the document) over a predefined schema. A…

Databases · Computer Science 2018-05-24 Liat Peterfreund , Balder ten Cate , Ronald Fagin , Benny Kimelfeld

Inspired by ideas taken from the machine learning literature, new regularization techniques have been recently introduced in linear system identification. In particular, all the adopted estimators solve a regularized least squares problem,…

Systems and Control · Computer Science 2015-07-03 Gianluigi Pillonetto , Tianshi Chen , Alessandro Chiuso , Giuseppe De Nicolao , Lennart Ljung

String-averaging is an algorithmic structure used when handling a family of operators in situations where the algorithm at hand requires to employ the operators in a specific order. Sequential orderings are well-known and a simultaneous…

Functional Analysis · Mathematics 2021-03-17 Yair Censor , Ariel Nisenbaum

Similarity measures based purely on word embeddings are comfortably competing with much more sophisticated deep learning and expert-engineered systems on unsupervised semantic textual similarity (STS) tasks. In contrast to commonly used…

Computation and Language · Computer Science 2019-10-08 Vitalii Zhelezniak , April Shen , Daniel Busbridge , Aleksandar Savkov , Nils Hammerla

Several new algorithms for deciding emptiness of Boolean combinations of regular languages and of languages of alternating automata (AFA) have been proposed recently, especially in the context of analysing regular expressions and in string…

Formal Languages and Automata Theory · Computer Science 2023-04-12 Tomáš Fiedor , Lukáš Holík , Martin Hruška , Adam Rogalewicz , Juraj Síč , Pavol Vargovčík

String constraint solving, and the underlying theory of word equations, are highly interesting research topics both for practitioners and theoreticians working in the wide area of satisfiability modulo theories. As string constraint solving…

Logic in Computer Science · Computer Science 2022-08-19 Joel D. Day , Adrian Kröger , Mitja Kulczynski , Florin Manea , Dirk Nowotka , Danny Bøgsted Poulsen

In a recent thread of papers, we have introduced FQL, a precise specification language for test coverage, and developed the test case generation engine FShell for ANSI C. In essence, an FQL test specification amounts to a set of regular…

Formal Languages and Automata Theory · Computer Science 2013-05-28 Andreas Holzer , Christian Schallhart , Michael Tautschnig , Helmut Veith

Global SLS-resolution and SLG-resolution are two representative mechanisms for top-down evaluation of the well-founded semantics of general logic programs. Global SLS-resolution is linear for query evaluation but suffers from infinite loops…

Artificial Intelligence · Computer Science 2007-05-23 Yi-Dong Shen , Li-Yan Yuan , Jia-Huai You

Regular Path Queries (RPQs), which are essentially regular expressions to be matched against the labels of paths in labeled graphs, are at the core of graph database query languages like SPARQL. A way to solve RPQs is to translate them into…

Data Structures and Algorithms · Computer Science 2024-04-24 Diego Arroyuelo , Adrián Gómez-Brandón , Gonzalo Navarro

Even as pre-trained language encoders such as BERT are shared across many tasks, the output layers of question answering, text classification, and regression models are significantly different. Span decoders are frequently used for question…

Computation and Language · Computer Science 2019-09-24 Nitish Shirish Keskar , Bryan McCann , Caiming Xiong , Richard Socher

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

Regular expressions with capture variables, also known as regex-formulas, extract relations of spans (intervals identified by their start and end indices) from text. In turn, the class of regular document spanners is the closure of the…

Databases · Computer Science 2024-02-14 Johannes Doleschal , Benny Kimelfeld , Wim Martens

In this paper we present a systematic study of regular sequences of quasi-nonexpansive operators in Hilbert space. We are interested, in particular, in weakly, boundedly and linearly regular sequences of operators. We show that the type of…

Optimization and Control · Mathematics 2018-02-13 Andrzej Cegielski , Simeon Reich , Rafał Zalas
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