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Model counting is the task of computing the number of assignments to variables V that satisfy a given propositional theory F. Model counting is an essential tool in probabilistic reasoning. In this paper, we introduce the problem of model…

Artificial Intelligence · Computer Science 2015-07-29 Rehan Abdul Aziz , Geoffrey Chu , Christian Muise , Peter Stuckey

We consider the problems of weighted constrained sampling and weighted model counting, where we are given a propositional formula and a weight for each world. The first problem consists of sampling worlds with a probability proportional to…

Quantum Physics · Physics 2024-07-19 Fabrizio Riguzzi

First-order model counting (FOMC) is the problem of counting the number of models of a sentence in first-order logic. Since lifted inference techniques rely on reductions to variants of FOMC, the design of scalable methods for FOMC has…

Logic in Computer Science · Computer Science 2025-06-11 Ananth K. Kidambi , Guramrit Singh , Paulius Dilkas , Kuldeep S. Meel

The rapid advancement of large language models has opened new avenues for automating complex problem-solving tasks such as algorithmic coding and competitive programming. This paper introduces a novel evaluation technique, LLM-ProS, to…

Computation and Language · Computer Science 2026-03-03 Md Sifat Hossain , Anika Tabassum , Md. Fahim Arefin , Tarannum Shaila Zaman

This volume contains the system description of the 18 solvers submitted to the First International Competition on Computational Models of Argumentation (ICCMA'15) and therefore gives an overview on state-of-the-art of computational…

Artificial Intelligence · Computer Science 2015-10-20 Matthias Thimm , Serena Villata

Prediction problems often admit competing models that perform almost equally well. This effect challenges key assumptions in machine learning when competing models assign conflicting predictions. In this paper, we define predictive…

Machine Learning · Computer Science 2020-09-17 Charles T. Marx , Flavio du Pin Calmon , Berk Ustun

Machine learning models are often used to inform real world risk assessment tasks: predicting consumer default risk, predicting whether a person suffers from a serious illness, or predicting a person's risk to appear in court. Given…

Machine Learning · Computer Science 2023-06-27 Jamelle Watson-Daniels , David C. Parkes , Berk Ustun

First-order model counting (FOMC) is a computational problem that asks to count the models of a sentence in finite-domain first-order logic. In this paper, we argue that the capabilities of FOMC algorithms to date are limited by their…

Logic in Computer Science · Computer Science 2023-06-08 Paulius Dilkas , Vaishak Belle

Machine learning is challenging the way we make music. Although research in deep generative models has dramatically improved the capability and fluency of music models, recent work has shown that it can be challenging for humans to partner…

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale data processing frameworks, and has been receiving increasingly more attention over the past few years, especially in the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-08 Danupon Nanongkai , Michele Scquizzato

Nearly all existing counting methods are designed for a specific object class. Our work, however, aims to create a counting model able to count any class of object. To achieve this goal, we formulate counting as a matching problem, enabling…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Erika Lu , Weidi Xie , Andrew Zisserman

While Large Language Models (LLMs) demonstrate impressive performance in mathematics, existing math benchmarks come with significant limitations. Many focus on problems with fixed ground-truth answers, and are often saturated due to problem…

Artificial Intelligence · Computer Science 2025-10-02 Mislav Balunović , Jasper Dekoninck , Nikola Jovanović , Ivo Petrov , Martin Vechev

There is a broad consensus that the inability to form long-term plans is one of the key limitations of current foundational models and agents. However, the existing planning benchmarks remain woefully inadequate to truly measure their…

Artificial Intelligence · Computer Science 2026-04-07 Michael Katz , Harsha Kokel , Sarath Sreedharan

In Weighted Model Counting (WMC), we assign weights to literals and compute the sum of the weights of the models of a given propositional formula where the weight of an assignment is the product of the weights of its literals. The current…

Artificial Intelligence · Computer Science 2023-12-27 Yong Lai , Zhenghang Xu , Minghao Yin

Satisfiability Modulo Counting (SMC) is a recently proposed general language to reason about problems integrating statistical and symbolic Artificial Intelligence. An SMC problem is an extended SAT problem in which the truth values of a few…

Artificial Intelligence · Computer Science 2025-06-19 Jinzhao Li , Nan Jiang , Yexiang Xue

Artificial Intelligence has gained a lot of traction in the recent years, with machine learning notably starting to see more applications across a varied range of fields. One specific machine learning application that is of interest to us…

Software Engineering · Computer Science 2023-05-10 Teodor Rares Begu

Reward models (RMs) are central to aligning large language models, yet their practical effectiveness hinges on generalization to unseen prompts and shifting distributions. Most existing RM evaluations rely on static, pre-annotated…

Computation and Language · Computer Science 2026-01-27 Shunyang Luo , Peibei Cao , Zhihui Zhu , Kehua Feng , Zhihua Wang , Keyan Ding

Mathematical modeling is a cornerstone of scientific discovery and engineering practice, enabling the translation of real-world problems into formal systems across domains such as physics, biology, and economics. Unlike mathematical…

Artificial Intelligence · Computer Science 2025-05-21 Fan Liu , Zherui Yang , Cancheng Liu , Tianrui Song , Xiaofeng Gao , Hao Liu

We introduce the task of algorithm class prediction for programming word problems. A programming word problem is a problem written in natural language, which can be solved using an algorithm or a program. We define classes of various…

Computation and Language · Computer Science 2019-04-05 Vinayak Athavale , Aayush Naik , Rajas Vanjape , Manish Shrivastava

Competitive programming problems increasingly serve as valuable benchmarks to evaluate the coding capabilities of large language models (LLMs) due to their complexity and ease of verification. Yet, current coding benchmarks face limitations…

Artificial Intelligence · Computer Science 2025-12-23 Kaijian Zou , Aaron Xiong , Yunxiang Zhang , Frederick Zhang , Yueqi Ren , Jirong Yang , Ayoung Lee , Shitanshu Bhushan , Lu Wang