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We present a tool and theory RE# for regular expression matching that is built on symbolic derivatives, does not use backtracking, and, in addition to the classical operators, also supports complement, intersection and lookarounds. We…

Formal Languages and Automata Theory · Computer Science 2025-01-27 Ian Erik Varatalu , Margus Veanes , Juhan-Peep Ernits

Many programming languages and tools, ranging from grep to the Java String library, contain regular expression matchers. Rather than first translating a regular expression into a deterministic finite automaton, such implementations…

Logic in Computer Science · Computer Science 2011-08-17 Asiri Rathnayake , Hayo Thielecke

We consider forkable regular expressions, which enrich regular expressions with a fork operator, to establish a formal basis for static and dynamic analysis of the communication behavior of concurrent programs. We define a novel…

Formal Languages and Automata Theory · Computer Science 2015-12-09 Martin Sulzmann , Peter Thiemann

This paper presents a new solution to the containment problem for extended regular expressions that extends basic regular expressions with intersection and complement operators and consider regular expressions on infinite alphabets based on…

Formal Languages and Automata Theory · Computer Science 2014-10-14 Matthias Keil , Peter Thiemann

Regular languages are closed under a wealth of formal language operators. Incorporating such operators in regular expressions leads to concise language specifications, but the transformation of such enhanced regular expressions to finite…

Formal Languages and Automata Theory · Computer Science 2016-05-04 Peter Thiemann

Existing support for regular expressions in automated test generation or verification tools is lacking. Common aspects of regular expression engines found in mainstream programming languages, such as backreferences or greedy matching, are…

Programming Languages · Computer Science 2020-03-16 Blake Loring , Duncan Mitchell , Johannes Kinder

We develop a compositional approach for automatic and symbolic differentiation based on categorical constructions in functional analysis where derivatives are linear functions on abstract vectors rather than being limited to scalars,…

Programming Languages · Computer Science 2022-07-05 Martin Elsman , Fritz Henglein , Robin Kaarsgaard , Mikkel Kragh Mathiesen , Robert Schenck

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

Regular expressions constitute a fundamental notion in formal language theory and are frequently used in computer science to define search patterns. A classic algorithm for these problems constructs and simulates a non-deterministic finite…

Computational Complexity · Computer Science 2016-09-28 Arturs Backurs , Piotr Indyk

Modern regex languages have strayed far from well-understood traditional regular expressions: they include features that fundamentally transform the matching problem. In exchange for these features, modern regex engines at times suffer from…

Programming Languages · Computer Science 2024-07-24 Aurèle Barrière , Clément Pit-Claudel

This paper proposes an extension to classical regular expressions by the addition of two operators allowing the inclusion of boolean formulae from the zeroth order logic. These expressions are called constrained expressions. The associated…

Formal Languages and Automata Theory · Computer Science 2015-10-09 Jean-Marc Champarnaud , Ludovic Mignot , Florent Nicart

This paper introduces a new derivative parsing algorithm for recognition of parsing expression grammars. Derivative parsing is shown to have a polynomial worst-case time bound, an improvement on the exponential bound of the recursive…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Aaron Moss

Most modern libraries for regular expression matching allow back-references (i.e., repetition operators) that substantially increase expressive power, but also lead to intractability. In order to find a better balance between expressiveness…

Formal Languages and Automata Theory · Computer Science 2018-02-06 Dominik D. Freydenberger , Markus L. Schmid

The regular expression matching problem asks whether a given regular expression of length $m$ matches a given string of length $n$. As is well known, the problem can be solved in $O(nm)$ time using Thompson's algorithm. Moreover, recent…

Computational Complexity · Computer Science 2026-04-03 Taisei Nogami , Yoshiki Nakamura , Tachio Terauchi

A variety of problems emerged investigating electronic circuits, computer devices and cellular automata motivated a number of attempts to create a differential and integral calculus for Boolean functions. In the present article, we extend…

Logic · Mathematics 2016-08-17 Eduardo Mizraji

Regular expression matching is of practical importance due to its widespread use in real-world applications. In practical use, regular expressions are often used with real-world extensions. Accordingly, the matching problem of regular…

Formal Languages and Automata Theory · Computer Science 2025-07-03 Taisei Nogami , Tachio Terauchi

With the presence of online collaborative tools for software developers, source code is shared and consulted frequently, from code viewers to merge requests and code snippets. Typically, code highlighting quality in such scenarios is…

Software Engineering · Computer Science 2022-08-05 Marco Edoardo Palma , Pasquale Salza , Harald C. Gall

Configurable systems typically consist of reusable assets that have dependencies between each other. To specify such dependencies, feature models are commonly used. As feature models in practice are often complex, automated reasoning is…

Artificial Intelligence · Computer Science 2025-05-12 Chico Sundermann , Stefan Vill , Elias Kuiter , Sebastian Krieter , Thomas Thüm , Matthias Tichy

We consider (logical) reasoning for regular expressions with lookahead (REwLA). In this paper, we give an axiomatic characterization for both the (match-)language equivalence and the largest substitution-closed equivalence that is sound for…

Logic in Computer Science · Computer Science 2026-02-11 Yoshiki Nakamura

Backreferences and lookaheads are vital features to make classical regular expressions (REGEX) practical. Although these features have been widely used, understanding of the unrestricted combination of them has been limited. Practically,…

Formal Languages and Automata Theory · Computer Science 2024-04-29 Yuya Uezato
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