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We study the problem of learning linear temporal logic (LTL) formulas from examples, as a first step towards expressing a property separating positive and negative instances in a way that is comprehensible for humans. In this paper we…

Machine Learning · Computer Science 2023-12-29 Corto Mascle , Nathanaël Fijalkow , Guillaume Lagarde

Learning automata by queries is a long-studied area initiated by Angluin in 1987 with the introduction of the $L^*$ algorithm to learn regular languages, with a large body of work afterwards on many different variations and generalizations…

Formal Languages and Automata Theory · Computer Science 2024-09-18 Kevin Zhou

We provide a categorical notion called uncertain bisimilarity, which allows to reason about bisimilarity in combination with a lack of knowledge about the involved systems. Such uncertainty arises naturally in automata learning algorithms,…

Discrete Mathematics · Computer Science 2023-03-28 Jurriaan Rot , Thorsten Wißmann

In the field of computational logic, two classes of finite automata are considered fundamental: deterministic and nondeterministic automata (DFAs and NFAs). In a more fine-grained approach three natural intermediate classes were introduced,…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Karolina Drabik , Anita Dürr , Fabian Frei , Filip Mazowiecki , Karol Węgrzycki

We study the classical and parameterized complexity of computing the positive non-clashing teaching dimension of a set of concepts, that is, the smallest number of examples per concept required to successfully teach an intelligent learner…

Computational Complexity · Computer Science 2025-03-12 Robert Ganian , Liana Khazaliya , Fionn Mc Inerney , Mathis Rocton

Debiased machine learning is a meta algorithm based on bias correction and sample splitting to calculate confidence intervals for functionals, i.e. scalar summaries, of machine learning algorithms. For example, an analyst may desire the…

Machine Learning · Statistics 2022-10-25 Victor Chernozhukov , Whitney K. Newey , Rahul Singh

Alternating parity automata (APAs) provide a robust formalism for modelling infinite behaviours and play a central role in formal verification. Despite their widespread use, the algebraic theory underlying APAs has remained largely…

Logic · Mathematics 2025-05-16 Anupam Das , Abhishek De

Deterministic 2-head finite automata which are machines that process an input word from both ends are analyzed for their ability to perform reversible computations. This implies that the automata are backward deterministic, enabling unique…

Formal Languages and Automata Theory · Computer Science 2025-07-22 Benedek Nagy , Walaa Yasin

We describe a minimization procedure for nondeterministic B\"uchi automata (NBA). For an automaton A another automaton A_min with the minimal number of states is learned with the help of a SAT-solver. This is done by successively computing…

Formal Languages and Automata Theory · Computer Science 2012-10-10 Stephan Barth , Martin Hofmann

We consider the problem of learning a non-deterministic probabilistic system consistent with a given finite set of positive and negative tree samples. Consistency is defined with respect to strong simulation conformance. We propose learning…

Logic in Computer Science · Computer Science 2012-07-24 Anvesh Komuravelli , Corina S. Pasareanu , Edmund M. Clarke

Generalizing the idea of self-similar groups defined by Mealy automata, we itroduce the notion of a self-similar automaton and a self-similar group over a changing alphabet. We show that every finitely generated residually-finite group is…

Group Theory · Mathematics 2016-07-27 Adam Woryna

A binary decision task, like yes-no questions or answer verification, reflects a significant real-world scenario such as where users look for confirmation about the correctness of their decisions on specific issues. In this work, we observe…

Computation and Language · Computer Science 2025-04-30 Sangwon Yu , Jongyoon Song , Bongkyu Hwang , Hoyoung Kang , Sooah Cho , Junhwa Choi , Seongho Joe , Taehee Lee , Youngjune L. Gwon , Sungroh Yoon

A class of languages C is perfect if it is closed under Boolean operations and the emptiness problem is decidable. Perfect language classes are the basis for the automata-theoretic approach to model checking: a system is correct if the…

Formal Languages and Automata Theory · Computer Science 2012-08-28 Javier Esparza , Pierre Ganty , Rupak Majumdar

The automatic complexity of a finite word (string) is an analogue for finite automata of Sipser's distinguishing complexity (1983) and was introduced by Shallit and Wang (2001). For a finite alphabet $\Sigma$ of at least two elements, we…

Formal Languages and Automata Theory · Computer Science 2025-10-10 Joey Chen , Bjørn Kjos-Hanssen , Ivan Koswara , Linus Richter , Frank Stephan

Automata learning has been successfully applied in the verification of hardware and software. The size of the automaton model learned is a bottleneck for scalability, and hence optimizations that enable learning of compact representations…

Formal Languages and Automata Theory · Computer Science 2019-11-04 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

Active automata learning infers automaton models of systems from behavioral observations, a technique successfully applied to a wide range of domains. Compositional approaches have recently emerged to address scalability to concurrent…

Machine Learning · Computer Science 2026-04-02 Leo Henry , Thomas Neele , Mohammad Reza Mousavi , Matteo Sammartino

The knapsack problem is a classic optimisation problem that has been recently extended in the setting of groups. Its study reveals to be interesting since it provides many different behaviours, depending on the considered class of groups.…

Group Theory · Mathematics 2016-12-15 Thibault Godin

We study the learnability of symbolic finite state automata (SFA), a model shown useful in many applications in software verification. The state-of-the-art literature on this topic follows the query learning paradigm, and so far all…

Logic in Computer Science · Computer Science 2024-02-14 Dana Fisman , Hadar Frenkel , Sandra Zilles

While recent advances in deep learning led to significant improvements in machine translation, neural machine translation is often still not able to continuously adapt to the environment. For humans, as well as for machine translation,…

Computation and Language · Computer Science 2021-02-15 Jan Niehues

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin
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