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We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been…

Logic in Computer Science · Computer Science 2013-04-09 Panagiotis Manolios , Vasilis Papavasileiou

Multimodal Machine Translation (MMT) enhances translation quality by incorporating visual context, helping to resolve textual ambiguities. While existing MMT methods perform well in bilingual settings, extending them to multilingual…

Computation and Language · Computer Science 2025-07-28 Jingxuan Wei , Caijun Jia , Qi Chen , Yujun Cai , Linzhuang Sun , Xiangxiang Zhang , Gaowei Wu , Bihui Yu

Answer Set Programming Modulo Theories (ASPMT) is a new framework of tight integration of answer set programming (ASP) and satisfiability modulo theories (SMT). Similar to the relationship between first-order logic and SMT, it is based on a…

Artificial Intelligence · Computer Science 2025-07-08 Joohyung Lee , Yunsong Meng

Multimodal Small-to-Medium sized Language Models (MSLMs) have demonstrated strong capabilities in integrating visual and textual information but still face significant limitations in visual comprehension and mathematical reasoning,…

Machine Learning · Computer Science 2026-01-27 Ashutosh Bajpai , Akshat Bhandari , Akshay Nambi , Tanmoy Chakraborty

SMT solvers use sophisticated techniques for polynomial (linear or non-linear) integer arithmetic. In contrast, non-polynomial integer arithmetic has mostly been neglected so far. However, in the context of program verification, polynomials…

Logic in Computer Science · Computer Science 2025-08-29 Florian Frohn , Jürgen Giesl

Theories over strings are among the most heavily researched logical theories in the SMT community in the past decade, owing to the error-prone nature of string manipulations, which often leads to security vulnerabilities (e.g. cross-site…

Programming Languages · Computer Science 2021-12-15 Shuanglong Kan , Anthony W. Lin , Philipp Rümmer , Micha Schrader

Satisfiability Modulo Theory (SMT) solvers have advanced automated reasoning, solving complex formulas across discrete and continuous domains. Recent progress in propositional model counting motivates extending SMT capabilities toward model…

Logic in Computer Science · Computer Science 2026-03-02 Arijit Shaw , Kuldeep S. Meel

We present new methods for solving the Satisfiability Modulo Theories problem over the theory of Quantifier-Free Non-linear Integer Arithmetic, SMT(QF-NIA), which consists in deciding the satisfiability of ground formulas with integer…

Logic in Computer Science · Computer Science 2020-09-01 Cristina Borralleras , Daniel Larraz , Albert Oliveras , Enric Rodriguez-Carbonell , Albert Rubio

This paper advocates for the broader application of SMT solvers in everyday programming, challenging the conventional wisdom that these tools are solely for formal methods and verification. We claim that SMT solvers, when seamlessly…

Programming Languages · Computer Science 2025-09-19 Facundo Domínguez , Arnaud Spiwack

Tsetlin Machines (TsMs) are a promising and interpretable machine learning method which can be applied for various classification tasks. We present an exact encoding of TsMs into propositional logic and formally verify properties of TsMs…

Machine Learning · Computer Science 2023-07-04 Emilia Przybysz , Bimal Bhattarai , Cosimo Persia , Ana Ozaki , Ole-Christoffer Granmo , Jivitesh Sharma

Formal methods use SMT solvers extensively for deciding formula satisfiability, for instance, in software verification, systematic test generation, and program synthesis. However, due to their complex implementations, solvers may contain…

Software Engineering · Computer Science 2020-04-14 Muhammad Numair Mansur , Maria Christakis , Valentin Wüstholz , Fuyuan Zhang

Satisfiability Modulo Linear Integer Arithmetic, SMT(LIA) for short, is pivotal across various critical domains. Previous research has primarily focused on SMT solving techniques. However, in practical applications such as software and…

Logic in Computer Science · Computer Science 2025-09-16 Yong Lai , Junjie Li , Chuan Luo

Mamba, based on state space model (SSM) with its linear complexity and great success in classification provide its superiority in 3D point cloud analysis. Prior to that, Transformer has emerged as one of the most prominent and successful…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Jia-wei Chen , Yu-jie Xiong , Yong-bin Gao

Correctness of results from mixed-integer linear programming (MILP) solvers is critical, particularly in the context of applications such as hardware verification, compiler optimization, or machine-assisted theorem proving. To this end,…

Logic in Computer Science · Computer Science 2025-10-14 Kenan Wood , Runtian Zhou , Haoze Wu , Hammurabi Mendes , Jonad Pulaj

Boolean Satisfiability (SAT) and Satisfiability Modulo Theories (SMT) are widely used in automated verification, but there is a lack of interactive tools designed for educational purposes in this field. To address this gap, we present…

Artificial Intelligence · Computer Science 2023-08-16 Yiqi Zhao , Ziyan An , Meiyi Ma , Taylor Johnson

We present a novel neural architecture for the Argument Reasoning Comprehension task of SemEval 2018. It is a simple neural network consisting of three parts, collectively judging whether the logic built on a set of given sentences (a…

Computation and Language · Computer Science 2018-05-21 Taeuk Kim , Jihun Choi , Sang-goo Lee

We present a novel length-aware solving algorithm for the quantifier-free first-order theory over regex membership predicate and linear arithmetic over string length. We implement and evaluate this algorithm and related heuristics in the Z3…

Logic in Computer Science · Computer Science 2021-05-10 Murphy Berzish , Mitja Kulczynski , Federico Mora , Florin Manea , Joel D. Day , Dirk Nowotka , Vijay Ganesh

Iterative solvers are frequently used in scientific applications and engineering computations. However, the memory-bound Sparse Matrix-Vector (SpMV) kernel computation hinders the efficiency of iterative algorithms. As modern hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-08 Jianhua Gao , Jiayuan Shen , Yuxiang Zhang , Weixing Ji , Hua Huang

Neural-network (NN) inference is increasingly present on-board spacecraft to reduce downlink bandwidth and enable timely decision making. However, the power and reliability constraints of space missions limit the applicability of many…

Hardware Architecture · Computer Science 2026-03-17 Pedro Antunes , Artur Podobas

Multimodal Machine Translation (MMT) enriches the source text with visual information for translation. It has gained popularity in recent years, and several pipelines have been proposed in the same direction. Yet, the task lacks quality…

Computation and Language · Computer Science 2021-06-29 Kshitij Gupta , Devansh Gautam , Radhika Mamidi
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