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It is well known that different solution strategies work well for different types of instances of hard combinatorial problems. As a consequence, most solvers for the propositional satisfiability problem (SAT) expose parameters that allow…

Artificial Intelligence · Computer Science 2016-08-03 Frank Hutter , Marius Lindauer , Adrian Balint , Sam Bayless , Holger Hoos , Kevin Leyton-Brown

The goal of inductive logic programming (ILP) is to search for a hypothesis that generalises training examples and background knowledge (BK). To improve performance, we introduce an approach that, before searching for a hypothesis, first…

Machine Learning · Computer Science 2022-12-06 Andrew Cropper , Céline Hocquette

Mixed integer nonlinear programs (MINLPs) are arguably among the hardest optimization problems, with a wide range of applications. MINLP solvers that are based on linear relaxations and spatial branching work similar as mixed integer…

Optimization and Control · Mathematics 2019-02-08 Jakob Witzig , Timo Berthold , Stefan Heinz

Large Language Models (LLMs) have achieved remarkable performance across various reasoning tasks, yet post-training is constrained by inefficient sample utilization and inflexible difficulty samples processing. To address these limitations,…

In-context learning (ICL) has emerged as a new approach to various natural language processing tasks, utilizing large language models (LLMs) to make predictions based on context that has been supplemented with a few examples or…

Computation and Language · Computer Science 2023-05-23 Linyong Nan , Yilun Zhao , Weijin Zou , Narutatsu Ri , Jaesung Tae , Ellen Zhang , Arman Cohan , Dragomir Radev

Conflict analysis has been successfully generalized from Boolean satisfiability (SAT) solving to mixed integer programming (MIP) solvers, but although MIP solvers operate with general linear inequalities, the conflict analysis in MIP has…

Optimization and Control · Mathematics 2023-07-27 Gioni Mexi , Timo Berthold , Ambros Gleixner , Jakob Nordström

In-Context Learning (ICL) has emerged as an important new paradigm in natural language processing and large language model (LLM) applications. However, the theoretical understanding of the ICL mechanism remains limited. This paper aims to…

Information Theory · Computer Science 2025-10-17 Huaze Tang , Tianren Peng , Shao-lun Huang

Efficient implementations of DPLL with the addition of clause learning are the fastest complete Boolean satisfiability solvers and can handle many significant real-world problems, such as verification, planning and design. Despite its…

Artificial Intelligence · Computer Science 2011-07-04 P. Beame , H. Kautz , A. Sabharwal

The goal of inductive logic programming is to induce a logic program (a set of logical rules) that generalises training examples. Inducing programs with many rules and literals is a major challenge. To tackle this challenge, we introduce an…

Machine Learning · Computer Science 2023-08-21 Andrew Cropper , Céline Hocquette

In-context learning (ICL) with dynamically selected demonstrations combines the flexibility of prompting large language models (LLMs) with the ability to leverage training data to improve performance. While ICL has been highly successful…

Computation and Language · Computer Science 2025-06-17 Shivanshu Gupta , Sameer Singh , Ashish Sabharwal , Tushar Khot , Ben Bogin

Power side-channel attacks on AES exploit data-dependent physical leakage to recover secret keys, but turning noisy leakage observations into a verified AES-128 key remains a hard combinational search problem. SAT-assisted power…

Quantum Physics · Physics 2026-05-26 Walid El Maouaki , Alberto Marchisio , Muhammad Shafique

Large Language Models (LLMs) have shown strong in-context learning (ICL) abilities with a few demonstrations. However, one critical challenge is how to select demonstrations to elicit the full potential of LLMs. In this paper, we propose…

Computation and Language · Computer Science 2024-12-17 Duc Anh Vu , Nguyen Tran Cong Duy , Xiaobao Wu , Hoang Minh Nhat , Du Mingzhe , Nguyen Thanh Thong , Anh Tuan Luu

Product Lines (PL) have proved an effective approach to reuse-based systems development. Several modeling languages were proposed so far to specify PL. Although they can be very different, these languages show two common features: they…

Software Engineering · Computer Science 2023-09-29 Camille Salinesi , Raul Mazo , Daniel Diaz , Olfa Djebbi

Learned clauses minimization (LCM) let to performance improvements of modern SAT solvers especially in solving hard SAT instances. Despite the success of LCM approaches in sequential solvers, they are not widely incorporated in parallel SAT…

Data Structures and Algorithms · Computer Science 2019-08-06 Marc Hartung , Florian Schintke

{log} (read 'setlog') was born as a Constraint Logic Programming (CLP) language where sets and binary relations are first-class citizens, thus fostering set programming. Internally, {log} is a constraint satisfiability solver implementing…

Logic in Computer Science · Computer Science 2026-03-13 Maximiliano Cristiá , Alfredo Capozucca , Gianfranco Rossi

Large language models (LLMs) have become the norm in natural language processing (NLP), excelling in few-shot in-context learning (ICL) with their remarkable abilities. Nonetheless, the success of ICL largely hinges on the choice of…

Computation and Language · Computer Science 2025-05-06 Xingxuan Li , Xuan-Phi Nguyen , Shafiq Joty , Lidong Bing

This paper describes a novel unbounded software model checking approach to find errors in programs written in the C language based on incremental SAT-solving. Instead of using the traditional assumption based API to incremental SAT solvers…

Symbolic Computation · Computer Science 2018-02-14 Marko Kleine Büning , Tomas Balyo , Carsten Sinz

In-Context Learning (ICL) emerges as a key feature for Large Language Models (LLMs), allowing them to adapt to new tasks by leveraging task-specific examples without updating model parameters. However, ICL faces challenges with increasing…

Machine Learning · Computer Science 2024-10-15 Chengsong Huang , Langlin Huang , Jiaxin Huang

Advancements in large language models (LLMs) have shown their effectiveness in multiple complicated natural language reasoning tasks. A key challenge remains in adapting these models efficiently to new or unfamiliar tasks. In-context…

Computation and Language · Computer Science 2024-08-02 Siqi Liang , Sumyeong Ahn , Jiayu Zhou

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