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Multi-letter {\it quantum finite automata} (QFAs) were a quantum variant of classical {\it one-way multi-head finite automata} (J. Hromkovi\v{c}, Acta Informatica 19 (1983) 377-384), and it has been shown that this new one-way QFAs…

Formal Languages and Automata Theory · Computer Science 2010-11-01 Daowen Qiu , Xiangfu Zou , Lvzhou Li , Paulo Mateus

In our recent paper we have established close relationships between state reduction of a fuzzy recognizer and resolution of a particular system of fuzzy relation equations. In that paper we have also studied reductions by means of those…

Formal Languages and Automata Theory · Computer Science 2011-03-01 Aleksandar Stamenković , Miroslav Ćirić , Jelena Ignjatović

We generalize several propositional preprocessing techniques to higher-order logic, building on existing first-order generalizations. These techniques eliminate literals, clauses, or predicate symbols from the problem, with the aim of…

Logic in Computer Science · Computer Science 2024-02-14 Jasmin Blanchette , Petar Vukmirović

Complementation of B\"uchi automata is an essential technique used in some approaches for termination analysis of programs. The long search for an optimal complementation construction climaxed with the work of Schewe, who proposed a…

Formal Languages and Automata Theory · Computer Science 2019-10-07 Yu-Fang Chen , Vojtěch Havlena , Ondřej Lengál

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

We present an algorithm that takes an unannotated corpus as its input, and returns a ranked list of probable morphologically related pairs as its output. The algorithm tries to discover morphologically related pairs by looking for pairs…

Computation and Language · Computer Science 2007-05-23 Marco Baroni , Johannes Matiasek , Harald Trost

Quantitative automata model beyond-boolean aspects of systems: every execution is mapped to a real number by incorporating weighted transitions and value functions that generalize acceptance conditions of boolean $\omega$-automata. Despite…

Formal Languages and Automata Theory · Computer Science 2025-01-28 Marek Chalupa , Thomas A. Henzinger , Nicolas Mazzocchi , N. Ege Saraç

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

It is generally well agreed that developing a unifying theory is one of the most important issues in Data Mining research. In the last two decades, a great deal of work has been devoted to the algorithmic aspects of the Frequent Itemset…

Databases · Computer Science 2020-01-28 Slimane Oulad-Naoui , Hadda Cherroun , Djelloul Ziadi

Model checking is an automatic formal verification technique that is widely used in hardware verification. The state-of-the-art complete model-checking techniques, based on IC3/PDR and its general variant CAR, are based on computing…

Logic in Computer Science · Computer Science 2024-11-04 Yibo Dong , Yu Chen , Jianwen Li , Geguang Pu , Ofer Strichman

Finitary Idealized Concurrent Algol (FICA) is a prototypical programming language combining functional, imperative, and concurrent computation. There exists a fully abstract game model of FICA, which in principle can be used to prove…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Alex Dixon , Ranko Lazić , Andrzej S. Murawski , Igor Walukiewicz

We introduce a weight assignment logic for reasoning about quantitative languages of infinite words. This logic is an extension of the classical MSO logic and permits to describe quantitative properties of systems with multiple weight…

Formal Languages and Automata Theory · Computer Science 2015-08-26 Vitaly Perevoshchikov

We present a special-purpose algorithm for factoring semiprimes $N = pq$ in which one prime factor satisfies $p \approx c\,(a/b)^n$ for positive integers $a, b, c, n$ with $a > b$ and $\gcd(a,b) = 1$. Given the correct parameters $(a, b)$,…

Number Theory · Mathematics 2026-05-12 Sam Blake

Generating semantic lexicons semi-automatically could be a great time saver, relative to creating them by hand. In this paper, we present an algorithm for extracting potential entries for a category from an on-line corpus, based upon a…

Computation and Language · Computer Science 2007-05-23 Brian Roark , Eugene Charniak

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

Recent years have witnessed a renewed interest in Boolean function in explaining binary classifiers in the field of explainable AI (XAI). The standard approach of Boolean function is propositional logic. We present a modal language of a…

Logic in Computer Science · Computer Science 2023-07-11 Xinghan Liu , Emiliano Lorini

Substructural logics are formal logical systems that omit familiar structural rules of classical and intuitionistic logic such as contraction, weakening, exchange (commutativity), and associativity. This leads to a resource-sensitive…

Logic in Computer Science · Computer Science 2025-05-01 Nikolaos Galatos , Vitor Greati , Revantha Ramanayake , Gavin St. John

Weakly recognizing morphisms from free semigroups onto finite semigroups are a classical way for defining the class of omega-regular languages, i.e., a set of infinite words is weakly recognizable by such a morphism if and only if it is…

Formal Languages and Automata Theory · Computer Science 2016-04-28 Lukas Fleischer , Manfred Kufleitner

Current neural query auto-completion (QAC) systems rely on character-level language models, but they slow down when queries are long. We present how to utilize subword language models for the fast and accurate generation of query completion…

Computation and Language · Computer Science 2019-09-04 Gyuwan Kim

B\"uchi's theorem states that $\omega$-regular languages are characterized as languages of the form $\bigcup_i U_i V_i^\omega$, where $U_i$ and $V_i$ are regular languages. Parikh automata are automata on finite words whose transitions are…

Formal Languages and Automata Theory · Computer Science 2023-02-09 Mario Grobler , Sebastian Siebertz
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