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We study alternating parity good-for-games (GFG) automata, i.e., alternating parity automata where both conjunctive and disjunctive choices can be resolved in an online manner, without knowledge of the suffix of the input word still to be…

Formal Languages and Automata Theory · Computer Science 2020-10-01 Udi Boker , Denis Kuperberg , Karoliina Lehtinen , Michał Skrzypczak

We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the…

Artificial Intelligence · Computer Science 2026-01-16 Christoph Weinhuber , Yannik Schnitzer , Alessandro Abate , David Parker , Giuseppe De Giacomo , Moshe Y. Vardi

We propose and evaluate antichain algorithms to solve the universality and language inclusion problems for nondeterministic Buechi automata, and the emptiness problem for alternating Buechi automata. To obtain those algorithms, we establish…

Logic in Computer Science · Computer Science 2015-07-01 Laurent Doyen , Jean-Francois Raskin

Reinforcement Learning (RL) in environments with complex, history-dependent reward structures poses significant challenges for traditional methods. In this work, we introduce a novel approach that leverages automaton-based feedback to guide…

Machine Learning · Computer Science 2025-10-20 Mahyar Alinejad , Alvaro Velasquez , Yue Wang , George Atia

Complementation of finite automata is a basic operation used in numerous applications. The standard way to complement a nondeterministic finite automaton (NFA) is to transform it into an equivalent deterministic finite automaton (DFA) and…

Formal Languages and Automata Theory · Computer Science 2025-07-16 Lukáš Holík , Ondřej Lengál , Juraj Major , Adéla Štěpková , Jan Strejček

In this paper we give automata-based representation of LTL-FO$^+$ properties. LTL-FO$^+$ is an extension of LTL that includes first-order quantification over bounded variable, thus greatly increasing the expressivity of the language. An…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Yannick Lebrun , Raphaël Khoury , Sylvain Hallé

We present an online algorithm to deal with pattern matching in strings. The problem we investigate is commonly known as string matching with mismatches in which the objective is to report the number of characters that match when a pattern…

Data Structures and Algorithms · Computer Science 2016-03-11 Vinodprasad P

Families of DFAs (FDFAs) provide an alternative formalism for recognizing $\omega$-regular languages. The motivation for introducing them was a desired correlation between the automaton states and right congruence relations, in a manner…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Dana Angluin , Udi Boker , Dana Fisman

Large language models (LLMs) often benefit from verbalized reasoning at inference time, but it remains unclear which aspects of task difficulty these extra reasoning tokens address. To investigate this question, we formalize a framework…

Artificial Intelligence · Computer Science 2025-04-03 Celine Lee , Alexander M. Rush , Keyon Vafa

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

Mining and exploring databases should provide users with knowledge and new insights. Tiles of data strive to unveil true underlying structure and distinguish valuable information from various kinds of noise. We propose a novel Boolean…

Artificial Intelligence · Computer Science 2019-06-25 Sibylle Hess , Katharina Morik , Nico Piatkowski

Let A be a finite alphabet and let L contained in (A*)^n be an n-variable language over A. We say that L is regular if it is the language accepted by a synchronous n-tape finite state automaton, it is quasi-regular if it is accepted by an…

Logic · Mathematics 2010-10-18 Maria Monks

We study here constraint satisfaction problems that are based on predefined, explicitly given finite constraints. To solve them we propose a notion of rule consistency that can be expressed in terms of rules derived from the explicit…

Artificial Intelligence · Computer Science 2007-05-23 Krzysztof R. Apt , Eric Monfroy

This paper presents and analyzes an incremental algorithm for the construction of Acyclic Non-deterministic Finite-state Automata (NFA). Automata of this type are quite useful in computational linguistics, especially for storing lexicons.…

Data Structures and Algorithms · Computer Science 2007-05-23 Kyriakos N. Sgarbas , Nikos D. Fakotakis , George K. Kokkinakis

Click-Through Rate (CTR) prediction holds a paramount position in recommender systems. The prevailing ID-based paradigm underperforms in cold-start scenarios due to the skewed distribution of feature frequency. Additionally, the utilization…

Information Retrieval · Computer Science 2024-11-28 Xingmei Wang , Weiwen Liu , Xiaolong Chen , Qi Liu , Xu Huang , Yichao Wang , Xiangyang Li , Yasheng Wang , Zhenhua Dong , Defu Lian , Ruiming Tang

Many natural language processing systems operate over tokenizations of text to address the open-vocabulary problem. In this paper, we give and analyze an algorithm for the efficient construction of deterministic finite automata (DFA)…

Formal Languages and Automata Theory · Computer Science 2025-05-27 Martin Berglund , Willeke Martens , Brink van der Merwe

This paper considers finite-automata based algorithms for handling linear arithmetic with both real and integer variables. Previous work has shown that this theory can be dealt with by using finite automata on infinite words, but this…

Logic in Computer Science · Computer Science 2007-05-23 Bernard Boigelot , Sebastien Jodogne , Pierre Wolper

We theoretically analyze the Feedback Alignment (FA) algorithm, an efficient alternative to backpropagation for training neural networks. We provide convergence guarantees with rates for deep linear networks for both continuous and discrete…

Machine Learning · Computer Science 2021-10-22 Manuela Girotti , Ioannis Mitliagkas , Gauthier Gidel

Automated Program Repair (APR) proposes bug fixes to aid developers in maintaining software. The state of the art in this domain focuses on LLMs, leveraging their strong capabilities to comprehend specifications in natural language and to…

Software Engineering · Computer Science 2026-02-23 Viola Campos , Ridwan Shariffdeen , Adrian Ulges , Yannic Noller

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup
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