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A word w of letters on edges of underlying graph Gamma of deterministic finite automaton (DFA) is called the synchronizing word if w sends all states of the automaton to a unique state. J. Cerny discovered in 1964 a sequence of n-state…

Formal Languages and Automata Theory · Computer Science 2021-07-20 A. N. Trahtman

We study automated test generation for verifying discrete decision-making modules in autonomous systems. We utilize linear temporal logic to encode the requirements on the system under test in the system specification and the behavior that…

Automata learning is a technique that has successfully been applied in verification, with the automaton type varying depending on the application domain. Adaptations of automata learning algorithms for increasingly complex types of automata…

Formal Languages and Automata Theory · Computer Science 2017-06-27 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

A word $w$ is called synchronizing (recurrent, reset, magic, directable) word of deterministic finite automaton (DFA) if $w$ sends all states of the automaton to a unique state. In 1964 Jan \v{C}erny found a sequence of n-state complete DFA…

Discrete Mathematics · Computer Science 2014-03-24 A. N. Trahtman

We present a formal and constructive theory showing that probabilistic finite automata (PFAs) can be exactly simulated using symbolic feedforward neural networks. Our architecture represents state distributions as vectors and transitions as…

Machine Learning · Computer Science 2025-09-24 Sahil Rajesh Dhayalkar

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

The paper presents the differential equations that characterize an asynchronous automaton and gives their solution x:R->{0,1}x...x{0,1}. Remarks are made on the connection between the continuous time and the discrete time of the approach.…

Logic in Computer Science · Computer Science 2007-05-23 Serban E. Vlad

The field of constraint satisfaction problems (CSPs) studies homomorphism problems between relational structures where the target structure is fixed. Classifying the complexity of these problems has been a central quest of the field,…

Logic in Computer Science · Computer Science 2026-02-23 Antoine Cuvelier , Rémi Morvan

As robots proliferate in manufacturing, Design for Robotic Assembly (DfRA), which is designing products for efficient automated assembly, is increasingly important. Traditional approaches to DfRA rely on manual planning, which is…

Robotics · Computer Science 2025-09-23 Nishka Khendry , Christos Margadji , Sebastian W. Pattinson

Several abstract machines that operate on symbolic input alphabets have been proposed in the last decade, for example, symbolic automata or lattice automata. Applications of these types of automata include software security analysis and…

Formal Languages and Automata Theory · Computer Science 2019-10-18 Andreas Stahlbauer

We study asynchronous finite sum minimization in a distributed-data setting with a central parameter server. While asynchrony is well understood in parallel settings where the data is accessible by all machines -- e.g., modifications of…

Machine Learning · Computer Science 2021-03-11 Margalit Glasgow , Mary Wootters

Many real-world optimization problems are not naturally homogeneous vectors but composite design objects with heterogeneous parameters: integers, real values, Booleans, categoricals, complex-valued descriptors, and embedding vectors.…

Neural and Evolutionary Computing · Computer Science 2026-05-14 Alex Bogdan

Saturation is a fundamental game-semantic property satisfied by strategies that interpret higher-order concurrent programs. It states that the strategy must be closed under certain rearrangements of moves, and corresponds to the intuition…

Programming Languages · Computer Science 2024-02-14 Alex Dixon , Andrzej S. Murawski

We present a framework that takes a concurrent program composed of unsynchronized processes, along with a temporal specification of their global concurrent behaviour, and automatically generates a concurrent program with synchronization…

Logic in Computer Science · Computer Science 2012-07-05 Roopsha Samanta

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

We consider the representational state complexity of unranked tree automata. The bottom-up computation of an unranked tree automaton may be either deterministic or nondeterministic, and further variants arise depending on whether the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Xiaoxue Piao , Kai Salomaa

We construct zero-error quantum finite automata (QFAs) for promise problems which cannot be solved by bounded-error probabilistic finite automata (PFAs). Here is a summary of our results: - There is a promise problem solvable by an exact…

Quantum Physics · Physics 2014-04-11 Jibran Rashid , Abuzer Yakaryilmaz

The standard procedure for hardware design consists of describing circuit in a hardware description language at logic level followed by extensive verification and logic-synthesis. However, this process consumes significant time and needs a…

Logic in Computer Science · Computer Science 2010-02-01 Yashdeep Godhal , Krishnendu Chatterjee , Thomas A. Henzinger

Distributed agreement-based (DAB) systems use common distributed agreement protocols such as leader election and consensus as building blocks for their target functionality. While automated verification for DAB systems is undecidable in…

Programming Languages · Computer Science 2023-01-18 Nouraldin Jaber , Christopher Wagner , Swen Jacobs , Milind Kulkarni , Roopsha Samanta

Applying AI power to predict syntheses of novel materials requires high-quality, large-scale datasets. Extraction of synthesis information from scientific publications is still challenging, especially for extracting synthesis actions,…

Machine Learning · Computer Science 2022-01-25 Zheren Wang , Kevin Cruse , Yuxing Fei , Ann Chia , Yan Zeng , Haoyan Huo , Tanjin He , Bowen Deng , Olga Kononova , Gerbrand Ceder