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This paper describes learning in a compiler for algorithms solving classes of the logic minimization problem MINSAT, where the underlying propositional formula is in conjunctive normal form (CNF) and where costs are associated with the…

Logic in Computer Science · Computer Science 2007-05-23 Anja Remshagen , Klaus Truemper

Generalizable alignment is a core challenge for deploying Large Language Models (LLMs) safely in real-world NLP applications. Current alignment methods, including Reinforcement Learning from Human Feedback (RLHF), often fail to guarantee…

Computation and Language · Computer Science 2025-04-07 Jaymari Chua , Chen Wang , Lina Yao

MaxSAT is an optimization version of the famous NP-complete Satisfiability problem (SAT). Algorithms for MaxSAT mainly include complete solvers and local search incomplete solvers. In many complete solvers, once a better solution is found,…

Artificial Intelligence · Computer Science 2024-01-22 Jiongzhi Zheng , Zhuo Chen , Chu-Min Li , Kun He

Satisfiability problem (SAT) is a cornerstone of computational complexity with broad industrial applications, and it remains challenging to optimize modern SAT solvers in real-world settings due to their intricate architectures. While…

Artificial Intelligence · Computer Science 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

Artificial Intelligence · Computer Science 2019-01-01 Matthias Nickles

The performance of Conflict-Driven Clause Learning solvers hinges on internal heuristics, yet the heterogeneity of SAT problems makes a single, universally optimal configuration unattainable. While prior automated methods can find…

Artificial Intelligence · Computer Science 2025-09-17 Minyu Chen , Guoqiang Li

Instances of logical cryptanalysis, circuit verification, and bounded model checking can often be succinctly represented as a combined satisfiability (SAT) problem where an instance is a combination of traditional clauses and parity…

Logic in Computer Science · Computer Science 2012-09-11 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Bridging logical reasoning and deep learning is crucial for advanced AI systems. In this work, we present a new framework that addresses this goal by generating interpretable and verifiable logical rules through differentiable learning,…

Artificial Intelligence · Computer Science 2023-10-04 Zhaoyu Li , Jinpei Guo , Yuhe Jiang , Xujie Si

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable…

Artificial Intelligence · Computer Science 2021-01-05 Matthias Nickles

Due to the adoption of horizontal business models following the globalization of semiconductor manufacturing, the overproduction of integrated circuits (ICs) and the piracy of intellectual properties (IPs) can lead to significant damage to…

Cryptography and Security · Computer Science 2022-12-16 Yadi Zhong , Ujjwal Guin

Search-optimization problems are plentiful in scientific and engineering domains. Artificial intelligence has long contributed to the development of search algorithms and declarative programming languages geared towards solving and modeling…

Artificial Intelligence · Computer Science 2022-06-17 Yuliya Lierler

The following paper proposes a new approach to determine whether a logical (CNF) formula is satisfiable or not using probability theory methods. Furthermore, we will introduce an algorithm that speeds up the standard solution for (CNF-SAT)…

Logic in Computer Science · Computer Science 2021-04-26 Hazem J. Alkhatib , Majd N. Bohssas , Rawad H. Hatem , Odey N. Kassam Alhennawi

Complex logical reasoning tasks require a long sequence of reasoning, which a large language model (LLM) with chain-of-thought prompting still falls short. To alleviate this issue, neurosymbolic approaches incorporate a symbolic solver.…

Computation and Language · Computer Science 2025-07-22 Hyun Ryu , Gyeongman Kim , Hyemin S. Lee , Eunho Yang

Investigating the reasoning abilities of transformer models, and discovering new challenging tasks for them, has been a topic of much interest. Recent studies have found these models to be surprisingly strong at performing deductive…

Computation and Language · Computer Science 2021-12-17 Kyle Richardson , Ashish Sabharwal

Boolean satisfiability (SAT) solvers are widely used in hardware verification, cryptanalysis, automatic test-pattern generation, and side-channel reasoning workflows. Modern conflict-driven clause-learning (CDCL) solvers are highly…

Cryptography and Security · Computer Science 2026-05-06 Melki Bino

This paper introduces SATformer, a novel Transformer-based approach for the Boolean Satisfiability (SAT) problem. Rather than solving the problem directly, SATformer approaches the problem from the opposite direction by focusing on…

Artificial Intelligence · Computer Science 2024-03-13 Zhengyuan Shi , Min Li , Yi Liu , Sadaf Khan , Junhua Huang , Hui-Ling Zhen , Mingxuan Yuan , Qiang Xu

We present NeuroSAT, a message passing neural network that learns to solve SAT problems after only being trained as a classifier to predict satisfiability. Although it is not competitive with state-of-the-art SAT solvers, NeuroSAT can solve…

Artificial Intelligence · Computer Science 2019-03-13 Daniel Selsam , Matthew Lamm , Benedikt Bünz , Percy Liang , Leonardo de Moura , David L. Dill

Large Language Models (LLMs) gain substantial reasoning and decision-making capabilities from thought structures. However, existing methods such as Tree of Thought and Retrieval Augmented Thoughts often fall short in complex tasks due to…

Computation and Language · Computer Science 2024-12-24 Jinghan Zhang , Xiting Wang , Weijieying Ren , Lu Jiang , Dongjie Wang , Kunpeng Liu

The wide adoption of machine learning in the critical domains such as medical diagnosis, law, education had propelled the need for interpretable techniques due to the need for end users to understand the reasoning behind decisions due to…

Artificial Intelligence · Computer Science 2020-01-08 Bishwamittra Ghosh , Kuldeep S. Meel

In this paper, we address the problem of enumerating all models of a Boolean formula in conjunctive normal form (CNF). We propose an extension of CDCL-based SAT solvers to deal with this fundamental problem. Then, we provide an experimental…

Artificial Intelligence · Computer Science 2013-05-08 Said Jabbour , Lakhdar Sais , Yakoub Salhi