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We propose DFAMiner, a passive learning tool for learning minimal separating deterministic finite automata (DFA) from a set of labelled samples. Separating automata are an interesting class of automata that occurs generally in regular model…

Formal Languages and Automata Theory · Computer Science 2024-05-30 Daniele Dell'Erba , Yong Li , Sven Schewe

While diffusion language models (DLMs) have achieved competitive performance in text generation, improving their reasoning ability with reinforcement learning remains an active research area. Here, we introduce d2, a reasoning framework…

Machine Learning · Computer Science 2026-02-10 Guanghan Wang , Gilad Turok , Yair Schiff , Marianne Arriola , Volodymyr Kuleshov

Given a pattern string $P$ of length $n$ and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet of size $\Delta$, the {\em exact string matching} problem consists of finding all occurrences of…

Data Structures and Algorithms · Computer Science 2015-10-01 Srikrishnan Divakaran

We investigate the internal representations that a recurrent neural network (RNN) uses while learning to recognize a regular formal language. Specifically, we train a RNN on positive and negative examples from a regular language, and ask if…

Machine Learning · Computer Science 2019-02-28 Joshua J. Michalenko , Ameesh Shah , Abhinav Verma , Richard G. Baraniuk , Swarat Chaudhuri , Ankit B. Patel

Automata play important roles in wide area of computing and the growth of multicores calls for their efficient parallel implementation. Though it is known in theory that we can perform the computation of a finite automaton in parallel by…

Formal Languages and Automata Theory · Computer Science 2014-05-06 Ryoma Sin'ya , Kiminori Matsuzaki , Masataka Sassa

Mechanism design is essentially reverse engineering of games and involves inducing a game among strategic agents in a way that the induced game satisfies a set of desired properties in an equilibrium of the game. Desirable properties for a…

Computer Science and Game Theory · Computer Science 2026-03-06 V. Udaya Sankar , Vishisht Srihari Rao , Mayank Ratan Bhardwaj , Y. Narahari

In this paper, we present a fast and strong neural approach for general purpose text matching applications. We explore what is sufficient to build a fast and well-performed text matching model and propose to keep three key features…

Computation and Language · Computer Science 2019-08-02 Runqi Yang , Jianhai Zhang , Xing Gao , Feng Ji , Haiqing Chen

The sparse signal processing literature often uses random sensing matrices to obtain performance guarantees. Unfortunately, in the real world, sensing matrices do not always come from random processes. It is therefore desirable to evaluate…

Functional Analysis · Mathematics 2018-03-06 Dustin G. Mixon , Waheed U. Bajwa , Robert Calderbank

This paper extends the work of Laurikari and Kuklewicz on tagged deterministic finite automata (TDFA) in the context of submatch extraction in regular expressions. The main goal of this work is application of TDFA to lexer generators that…

Formal Languages and Automata Theory · Computer Science 2019-07-23 Ulya Trofimovich

The problem of finding a maximum size matching in a graph (known as the maximum matching problem) is one of the most classical problems in computer science. Despite a significant body of work dedicated to the study of this problem in the…

Data Structures and Algorithms · Computer Science 2021-09-14 Moran Feldman , Ariel Szarf

Solving symbolic reasoning problems that require compositionality and systematicity is considered one of the key ingredients of human intelligence. However, symbolic reasoning is still a great challenge for deep learning models, which often…

Neural and Evolutionary Computing · Computer Science 2023-07-03 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

We present an efficient algorithm for checking language equivalence of states in top-down deterministic finite tree automata (DFTAs). Unlike string automata, tree automata operate over hierarchical structures, posing unique challenges for…

Formal Languages and Automata Theory · Computer Science 2025-04-08 Zhibo Deng , Vladimir A. Zakharov

This paper presents an efficient algorithm for retrieving from a database of trees, all trees that match a given query tree approximately, that is, within a certain error tolerance. It has natural language processing applications in…

cmp-lg · Computer Science 2008-02-03 Kemal Oflazer

With the blooming of various Pre-trained Language Models (PLMs), Machine Reading Comprehension (MRC) has embraced significant improvements on various benchmarks and even surpass human performances. However, the existing works only target on…

Computation and Language · Computer Science 2020-11-16 Yiming Cui , Ting Liu , Shijin Wang , Guoping Hu

In this paper we explore how machine learning techniques can be applied to the discovery of efficient mathematical identities. We introduce an attribute grammar framework for representing symbolic expressions. Given a set of grammar rules…

Machine Learning · Computer Science 2014-11-07 Wojciech Zaremba , Karol Kurach , Rob Fergus

High-dimensional statistical inference deals with models in which the the number of parameters p is comparable to or larger than the sample size n. Since it is usually impossible to obtain consistent procedures unless $p/n\rightarrow0$, a…

Statistics Theory · Mathematics 2013-03-13 Sahand N. Negahban , Pradeep Ravikumar , Martin J. Wainwright , Bin Yu

The problem of generalized function matching can be defined as follows: given a pattern $p=p_1 \cdots p_m$ and a text $t=t_1 \cdots t_n$, find a mapping $f:\Sigma_p\rightarrow\Sigma_t^{*}$ and all text locations $i$ such that $f(p_1) f(p_2)…

Data Structures and Algorithms · Computer Science 2019-08-06 Radu Stefan Mincu

MONI (Rossi et al., {\it JCB} 2022) is a BWT-based compressed index for computing the matching statistics and maximal exact matches (MEMs) of a pattern (usually a DNA read) with respect to a highly repetitive text (usually a database of…

Data Structures and Algorithms · Computer Science 2023-11-09 Adrián Goga , Lore Depuydt , Nathaniel K. Brown , Jan Fostier , Travis Gagie , Gonzalo Navarro

Stochastic process discovery is concerned with deriving a model capable of reproducing the stochastic character of observed executions of a given process, stored in a log. This leads to an optimisation problem in which the model's parameter…

Formal Languages and Automata Theory · Computer Science 2025-05-01 Pierre Cry , Paolo Ballarini , András Horváth , Pascale Le Gall

Context: Having domain models derived from textual specifications has proven to be very useful in the early phases of software engineering. However, creating correct domain models and establishing clear links with the textual specification…

Software Engineering · Computer Science 2026-03-09 Shwetali Shimangaud , Lola Burgueño , Rijul Saini , Jörg Kienzle