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A quantum finite-state automaton (QFA) is a theoretical model designed to simulate the evolution of a quantum system with finite memory in response to sequential input strings. We define the language of a QFA as the set of strings that lead…

Computation and Language · Computer Science 2024-07-04 SeungYeop Baik , Sicheol Sung , Yo-Sub Han

Weighted Logic is a powerful tool for the specification of calculations over semirings that depend on qualitative information. Using a novel combination of Weighted Logic and Here-and-There (HT) Logic, in which this dependence is based on…

Artificial Intelligence · Computer Science 2022-11-14 Thomas Eiter , Rafael Kiesel

Answer Set Programming (ASP) is a powerful tool for solving real-world problems. However, many problems involve numeric values and complex constraints beyond the capabilities of standard ASP solvers. Hybrid solvers like CLINGCON and…

Artificial Intelligence · Computer Science 2025-02-14 Nicolas Rühling

Modern adiabatic quantum computers (AQC) are already used to solve difficult combinatorial optimisation problems in various domains of science. Currently, only a few applications of AQC in computer vision have been demonstrated. We review…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Vladislav Golyanik , Christian Theobalt

Deep learning has become a promising programming paradigm in software development, owing to its surprising performance in solving many challenging tasks. Deep neural networks (DNNs) are increasingly being deployed in practice, but are…

Cryptography and Security · Computer Science 2022-12-22 Yedi Zhang , Zhe Zhao , Fu Song , Min Zhang , Taolue Chen , Jun Sun

It is common for search and optimization problems to have alternative equivalent encodings in ASP. Typically none of them is uniformly better than others when evaluated on broad classes of problem instances. We claim that one can improve…

Artificial Intelligence · Computer Science 2019-09-19 Liu Liu , Miroslaw Truszczynski

Integrating Large Language Models (LLMs) with quantum computing is a critical challenge, hindered by the severe constraints of Noisy Intermediate-Scale Quantum (NISQ) devices, including barren plateaus and limited coherence. Current…

Quantum Physics · Physics 2025-08-12 Yi Pan , Hanqi Jiang , Junhao Chen , Yiwei Li , Huaqin Zhao , Lin Zhao , Yohannes Abate , Yingfeng Wang , Tianming Liu

Quantum signal processing (QSP), a framework for implementing matrix-valued polynomials, is a fundamental primitive in various quantum algorithms. Despite its versatility, a potentially underappreciated challenge is that all systematic…

Quantum Physics · Physics 2025-12-24 Yudai Suzuki , Bi Hong Tiang , Jeongrak Son , Nelly H. Y. Ng , Zoë Holmes , Marek Gluza

A Pseudo-Boolean (PB) constraint is a linear arithmetic constraint over Boolean variables. PB constraints are convenient and widely used in expressing NP-complete problems. We introduce a new, two step, method for transforming PB…

Logic in Computer Science · Computer Science 2015-03-19 Amir Aavani

Quantum annealing (QA) has attracted research interest as a sampler and combinatorial optimization problem (COP) solver. A recently proposed sampling-based solver for QA significantly reduces the required number of qubits, being capable of…

Quantum Physics · Physics 2025-07-31 Ryo Hagiwara , Shunta Arai , Satoshi Takabe

Parameterized complexity enables the practical solution of generally intractable NP-hard problems when certain parameters are small, making it particularly useful in real-world applications. The study of string problems in this framework…

Quantum Physics · Physics 2025-10-20 Josh Cudby , Sergii Strelchuk

A fundamental question in systems biology is the construction and training to data of mathematical models. Logic formalisms have become very popular to model signaling networks because their simplicity allows us to model large systems…

Quantitative Methods · Quantitative Biology 2012-12-27 Santiago Videla , Carito Guziolowski , Federica Eduati , Sven Thiele , Niels Grabe , Julio Saez-Rodriguez , Anne Siegel

Dung's famous abstract argumentation frameworks represent the core formalism for many problems and applications in the field of argumentation which significantly evolved within the last decade. Recent work in the field has thus focused on…

Artificial Intelligence · Computer Science 2016-04-20 Wolfgang Dvořák , Sarah Alice Gaggl , Johannes Wallner , Stefan Woltran

We propose Quantum Enhanced Simulated Annealing (QESA), a novel hybrid optimization framework that integrates quantum annealing (QA) into simulated annealing (SA) to tackle continuous optimization problems. While QA has shown promise in…

Quantum Physics · Physics 2025-04-04 Hristo N. Djidjev

Quantum signal processing (QSP) and the quantum singular value transformation (QSVT) are pivotal tools for simplifying the development of quantum algorithms. These techniques leverage polynomial transformations on the eigenvalues or…

Quantum Physics · Physics 2024-07-02 Lorenzo Laneve

Answer Set Programming (ASP) is a widely used declarative programming paradigm that has shown great potential in solving complex computational problems. However, the inability to natively support non-integer arithmetic has been highlighted…

Artificial Intelligence · Computer Science 2023-12-08 Francesco Pacenza , Jessica Zangari

Quadratic programming (QP) is a well-studied fundamental NP-hard optimization problem which optimizes a quadratic objective over a set of linear constraints. In this paper, we reformulate QPs as a mixed-integer linear problem (MILP). This…

Optimization and Control · Mathematics 2018-07-17 Wei Xia , Juan Vera , Luis F. Zuluaga

Applying machine learning to combinatorial optimization problems has the potential to improve both efficiency and accuracy. However, existing learning-based solvers often struggle with generalization when faced with changes in problem…

Machine Learning · Computer Science 2023-03-02 Chenguang Wang , Zhouliang Yu , Stephen McAleer , Tianshu Yu , Yaodong Yang

As the practical use of answer set programming (ASP) has grown with the development of efficient solvers, we expect a growing interest in extensions of ASP as their semantics stabilize and solvers supporting them mature. Epistemic…

Artificial Intelligence · Computer Science 2016-10-14 Patrick Thor Kahl , Anthony P. Leclerc , Tran Cao Son

The rise of large language models (LLMs) has sparked interest in coding assistants. While general-purpose programming languages are well supported, generating code for domain-specific languages remains a challenging problem for LLMs. In…

Artificial Intelligence · Computer Science 2025-12-22 Timo Pierre Schrader , Lukas Lange , Tobias Kaminski , Simon Razniewski , Annemarie Friedrich