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This paper establishes logical and expression-based characterizations for the class of languages recognized by nondeterministic register automata with guessing (NRA) over infinite alphabets. We introduce Scoped MSO, a logic featuring a…

Logic in Computer Science · Computer Science 2026-02-16 Radosław Piórkowski

This work is concerned with regular languages defined over large alphabets, either infinite or just too large to be expressed enumeratively. We define a generic model where transitions are labeled by elements of a finite partition of the…

Logic in Computer Science · Computer Science 2017-01-11 Irini-Eleftheria Mens , Oded Maler

This study explores the learnability of memory-less and memory-augmented RNNs, which are theoretically equivalent to Pushdown Automata. Empirical results show that these models often fail to generalize on longer sequences, relying more on…

Computation and Language · Computer Science 2024-10-07 Shrabon Das , Ankur Mali

We propose a nested recurrent neural network (nested RNN) model for English spelling error correction and generate pseudo data based on phonetic similarity to train it. The model fuses orthographic information and context as a whole and is…

Computation and Language · Computer Science 2018-11-02 Hao Li , Yang Wang , Xinyu Liu , Zhichao Sheng , Si Wei

We present an extended automata learning framework that combines active automata learning with deductive inference. The learning algorithm asks membership and equivalence queries as in the original framework, but it is also given advice,…

Formal Languages and Automata Theory · Computer Science 2025-08-15 Michał Fica , Jan Otop

This paper develops a free energy theory from physics including the variational principles for automata and languages and also provides algorithms to compute the energy as well as efficient algorithms for estimating the nondeterminism in a…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Cewei Cui , Zhe Dang

Semantically meaningful sentence embeddings are important for numerous tasks in natural language processing. To obtain such embeddings, recent studies explored the idea of utilizing synthetically generated data from pretrained language…

Computation and Language · Computer Science 2022-08-31 Taehee Kim , ChaeHun Park , Jimin Hong , Radhika Dua , Edward Choi , Jaegul Choo

We propose regular expressions to abstractly model and study properties of resource-aware computations. Inspired by nominal techniques -- as those popular in process calculi -- we extend classical regular expressions with names (to model…

Formal Languages and Automata Theory · Computer Science 2013-10-29 Alexander Kurz , Tomoyuki Suzuki , Emilio Tuosto

We first propose algorithms for checking language equivalence of finite automata over a large alphabet. We use symbolic automata, where the transition function is compactly represented using a (multi-terminal) binary decision diagrams…

Formal Languages and Automata Theory · Computer Science 2014-07-14 Damien Pous

We propose a neural network-based approach to automatically learn and classify natural language questions into its corresponding template using recursive neural networks. An obvious advantage of using neural networks is the elimination of…

Computation and Language · Computer Science 2020-06-11 Ram G Athreya , Srividya Bansal , Axel-Cyrille Ngonga Ngomo , Ricardo Usbeck

We consider ideals and Boolean combinations of ideals. For the regular languages within these classes we give expressively complete automaton models. In addition, we consider general properties of regular ideals and their Boolean…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Franz Jahn , Manfred Kufleitner , Alexander Lauser

Modal automata are a classic formal model for component-based systems that comes equipped with a rich specification theory supporting abstraction, refinement and compositional reasoning. In recent years, quantitative variants of modal…

Logic in Computer Science · Computer Science 2013-06-13 Tingting Han , Christian Krause , Marta Kwiatkowska , Holger Giese

Consider $ A^* $, the free monoid generated by the finite alphabet $A$ with the concatenation operation. Two words have the same commutative image when one is a permutation of the symbols of the other. The commutative closure of a set $ L…

Formal Languages and Automata Theory · Computer Science 2025-04-16 Verónica Becher , Simon Lew Deveali , Ignacio Mollo Cunningham

Sampled semantics of timed automata is a finite approximation of their dense time behavior. While the former is closer to the actual software or hardware systems with a fixed granularity of time, the abstract character of the latter makes…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Pavel Krcal , Parosh Aziz Abdulla , Wang Yi

Limit-average automata are weighted automata on infinite words that use average to aggregate the weights seen in infinite runs. We study approximate learning problems for limit-average automata in two settings: passive and active. In the…

Formal Languages and Automata Theory · Computer Science 2019-06-27 Jakub Michaliszyn , Jan Otop

Regular expressions in an Automata Theory and Formal Languages course are mostly treated as a theoretical topic. That is, to some degree their mathematical properties and their role to describe languages is discussed. This approach fails to…

Programming Languages · Computer Science 2023-08-15 Marco T. Morazán

Language models can achieve high accuracy on natural language tasks such as NLI, but performance suffers on manually created adversarial examples. We investigate the performance of a language model trained on the Stanford Natural Language…

Computation and Language · Computer Science 2024-10-31 Chris Achard

In this paper, we introduce a restriction of Timed Automata (TA), called non-resetting test Timed Automata (nrtTA). An nrtTA does not allow to test and reset the same clock on the same transition. The model has the same expressive power of…

Formal Languages and Automata Theory · Computer Science 2025-03-07 Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

We present a general and user-extensible equality checking algorithm that is applicable to a large class of type theories. The algorithm has a type-directed phase for applying extensionality rules and a normalization phase based on…

Logic in Computer Science · Computer Science 2023-06-22 Andrej Bauer , Anja Petković Komel

An infinite permutation $\alpha$ is a linear ordering of $\mathbb N$. We study properties of infinite permutations analogous to those of infinite words, and show some resemblances and some differences between permutations and words. In this…

Discrete Mathematics · Computer Science 2011-09-29 Anna Frid , Luca Zamboni