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Linear integer constraints are one of the most important constraints in combinatorial problems since they are commonly found in many practical applications. Typically, encodings to Boolean satisfiability (SAT) format of conjunctive normal…

Logic in Computer Science · Computer Science 2020-05-06 Ignasi Abío , Valentin Mayer-Eichberger , Peter Stuckey

Chain-of-Thought (CoT) prompting has emerged as a powerful approach to enhancing the reasoning capabilities of Large Language Models (LLMs). However, existing implementations, such as in-context learning and fine-tuning, remain costly and…

Computation and Language · Computer Science 2025-10-02 Li Li , Ziyi Wang , Yongliang Wu , Jianfei Cai , Xu Yang

To enhance the multi-step reasoning capabilities of large language models, researchers have extensively explored prompting methods, notably the Chain-of-Thought (CoT) method which explicitly elicits human-like rationales. However, they have…

Computation and Language · Computer Science 2024-04-19 Zhiheng Xi , Senjie Jin , Yuhao Zhou , Rui Zheng , Songyang Gao , Tao Gui , Qi Zhang , Xuanjing Huang

Chain-of-Thought (CoT) prompting has proven to be effective in enhancing the reasoning capabilities of Large Language Models (LLMs) with at least 100 billion parameters. However, it is ineffective or even detrimental when applied to…

Computation and Language · Computer Science 2023-10-24 Chengcheng Han , Xiaowei Du , Che Zhang , Yixin Lian , Xiang Li , Ming Gao , Baoyuan Wang

As robotic systems become increasingly integrated into complex real-world environments, there is a growing need for approaches that enable robots to understand and act upon natural language instructions without relying on extensive…

Robotics · Computer Science 2024-09-19 Arvind Car , Sai Sravan Yarlagadda , Alison Bartsch , Abraham George , Amir Barati Farimani

Satisfiability modulo theory (SMT) consists in testing the satisfiability of first-order formulas over linear integer or real arithmetic, or other theories. In this survey, we explain the combination of propositional satisfiability and…

Logic in Computer Science · Computer Science 2016-06-16 David Monniaux

The experimental evaluation of fault-tolerance studies relies on tools that inject errors while programs are running, and then monitor the execution and the output for faulty execution. In particular, the established methodology in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Vasileios Porpodas

Clocked Type Theory (CloTT) is a type theory for guarded recursion useful for programming with coinductive types, allowing productivity to be encoded in types, and for reasoning about advanced programming language features using an abstract…

Logic in Computer Science · Computer Science 2018-04-19 Bassel Mannaa , Rasmus Ejlers Møgelberg

Program of Thoughts (PoT) is an approach characterized by its executable intermediate steps, which ensure the accuracy of the logical calculations in the reasoning process. Currently, PoT primarily uses Python. However, relying solely on a…

Computation and Language · Computer Science 2024-11-19 Xianzhen Luo , Qingfu Zhu , Zhiming Zhang , Libo Qin , Xuanyu Zhang , Qing Yang , Dongliang Xu , Wanxiang Che

We study local-search satisfiability solvers for propositional logic extended with cardinality atoms, that is, expressions that provide explicit ways to model constraints on cardinalities of sets. Adding cardinality atoms to the language of…

Artificial Intelligence · Computer Science 2007-05-23 Lengning Liu , Miroslaw Truszczynski

Large language models (LLMs) such as GPT-4 have recently demonstrated impressive results across a wide range of tasks. LLMs are still limited, however, in that they frequently fail at complex reasoning, their reasoning processes are opaque,…

Clausal proofs have become a popular approach to validate the results of SAT solvers. However, validating clausal proofs in the most widely supported format (DRAT) is expensive even in highly optimized implementations. We present a new…

Logic in Computer Science · Computer Science 2017-08-09 Luís Cruz-Filipe , Marijn Heule , Warren Hunt , Matt Kaufmann , Peter Schneider-Kamp

In previous work we have described how refinements can be checked using a temporal logic based model-checker, and how we have built a model-checker for Z by providing a translation of Z into the SAL input language. In this paper we draw…

Software Engineering · Computer Science 2011-06-22 John Derrick , Siobhán North , Anthony J. H. Simons

Chain-of-Thought (CoT) has been a widely adopted prompting method, eliciting impressive reasoning abilities of Large Language Models (LLMs). Inspired by the sequential thought structure of CoT, a number of Chain-of-X (CoX) methods have been…

Computation and Language · Computer Science 2025-02-07 Yu Xia , Rui Wang , Xu Liu , Mingyan Li , Tong Yu , Xiang Chen , Julian McAuley , Shuai Li

Large Language Models (LLMs) have made significant strides in reasoning tasks through methods like chain-of-thought (CoT) reasoning. However, they often fall short in tasks requiring precise computations. Tool-Integrated Reasoning (TIR) has…

Computation and Language · Computer Science 2025-08-22 Yufeng Zhao , Junnan Liu , Hongwei Liu , Dongsheng Zhu , Yuan Shen , Songyang Zhang , Kai Chen

Chain of Thought (CoT) prompting can encourage language models to engage in multi-step logical reasoning. The quality of the provided demonstrations significantly influences the success of downstream inference tasks. Current unsupervised…

Computation and Language · Computer Science 2025-05-27 Yufeng Zhang , Xuepeng Wang , Lingxiang Wu , Jinqiao Wang

An important problem that arises during the execution of service-based applications concerns the ability to determine whether a running service can be substituted with one with a different interface, for example if the former is no longer…

Logic in Computer Science · Computer Science 2010-04-19 Marcello M. Bersani , Luca Cavallaro , Achille Frigeri , Matteo Pradella , Matteo Rossi

Temporal predictive models have the potential to improve decisions in health care, public services, and other domains, yet they often fail to effectively support decision-makers. Prior literature shows that many misalignments between model…

Human-Computer Interaction · Computer Science 2025-02-21 Venkatesh Sivaraman , Anika Vaishampayan , Xiaotong Li , Brian R Buck , Ziyong Ma , Richard D Boyce , Adam Perer

The classical satisfiability problem (SAT) is used as a natural and general tool to express and solve combinatorial problems that are in NP. We postulate that provability for implicational intuitionistic propositional logic (IIPC) can serve…

Logic in Computer Science · Computer Science 2024-05-14 Aleksy Schubert , Paweł Urzyczyn , Konrad Zdanowski

We present TACO, a toolsuite for the development and automatic verification of fault-tolerant and threshold-based distributed algorithms. Our toolsuite implements three approaches for model checking threshold automata in different decidable…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-08 Paul Eichler , Tom Baumeister , Mouhammad Sakr , Mahboubeh Kalateh Dowlati , Marcus Völp , Swen Jacobs