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Propositional satisfiability (SAT) solvers, which typically operate using conjunctive normal form (CNF), have been successfully applied in many domains. However, in some application areas such as circuit verification, bounded model…

Logic in Computer Science · Computer Science 2013-11-19 Tero Laitinen , Tommi Junttila , Ilkka Niemelä

Large language models (LLMs) have achieved remarkable success in natural language tasks, but their inference incurs substantial computational and memory overhead. To improve efficiency, parallel decoding methods like Skeleton-of-Thought…

Computation and Language · Computer Science 2025-04-15 Shuowei Jin , Xueshen Liu , Yongji Wu , Haizhong Zheng , Qingzhao Zhang , Atul Prakash , Matthew Lentz , Danyang Zhuo , Feng Qian , Z. Morley Mao

The Libopt environment is both a methodology and a set of tools that can be used for testing, comparing, and profiling solvers on problems belonging to various collections. These collections can be heterogeneous in the sense that their…

Mathematical Software · Computer Science 2025-10-20 Jean Charles Gilbert , Xavier Jonsson

Logic languages based on the theory of rational, possibly infinite, trees have much appeal in that rational trees allow for faster unification (due to the safe omission of the occurs-check) and increased expressivity (cyclic terms can…

Programming Languages · Computer Science 2007-05-23 Roberto Bagnara , Roberta Gori , Patricia M. Hill , Enea Zaffanella

FIAT (the FInite element Automatic Tabulator) provides a powerful Python library for the generation and evaluation of finite element basis functions on a reference element. This release paper describes recent improvements to FIAT aimed at…

Numerical Analysis · Mathematics 2025-12-02 Pablo D. Brubeck , Robert C. Kirby , Fabian Laakmann , Lawrence Mitchell

The different activities related to debugging such as program instrumentation, representation of execution trace and analysis of trace are not typically performed in an unified framework. We propose \textit{BOLD}, an Ontology-based Log…

Software Engineering · Computer Science 2020-04-24 Dileep Kumar P , Rupesh Nasre , Sreenivasa Kumar P

While Chain-of-Thought (CoT) prompting advances LLM reasoning, challenges persist in consistency, accuracy, and self-correction, especially for complex or ethically sensitive tasks. Existing single-dimensional reflection methods offer…

Computation and Language · Computer Science 2026-01-13 Mariana Costa , Alberlucia Rafael Soarez , Daniel Kim , Camila Ferreira

Path checking, the special case of the model checking problem where the model under consideration is a single path, plays an important role in monitoring, testing, and verification. We prove that for linear-time temporal logic (LTL), path…

Logic in Computer Science · Computer Science 2019-03-14 Lars Kuhtz , Bernd Finkbeiner

LLMs are increasingly applied to recommendation, retrieval, and reasoning, yet deploying a single end-to-end model that can jointly support these behaviors over large, heterogeneous catalogs remains challenging. Such systems must generate…

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2015-09-25 Martin Zimmermann

Retrieving relevant evidence from visually rich documents such as textbooks, technical reports, and manuals is challenging due to long context, complex layouts, and weak lexical overlap between user questions and supporting pages. We…

Information Retrieval · Computer Science 2026-03-31 Seonok Kim

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2016-01-15 Martin Zimmermann

Evaluating outputs of large language models (LLMs) is challenging, requiring making -- and making sense of -- many responses. Yet tools that go beyond basic prompting tend to require knowledge of programming APIs, focus on narrow domains,…

Human-Computer Interaction · Computer Science 2024-05-07 Ian Arawjo , Chelse Swoopes , Priyan Vaithilingam , Martin Wattenberg , Elena Glassman

Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks but their performance in complex logical reasoning tasks remains unsatisfactory. Although some prompting methods, such as Chain-of-Thought, can…

Computation and Language · Computer Science 2025-02-10 Tongxuan Liu , Wenjiang Xu , Weizhe Huang , Yuting Zeng , Jiaxing Wang , Xingyu Wang , Hailong Yang , Jing Li

The zero-shot chain of thought (CoT) approach is often used in question answering (QA) by language models (LMs) for tasks that require multiple reasoning steps. However, some QA tasks hinge more on accessing relevant knowledge than on…

Computation and Language · Computer Science 2025-05-27 Jiacan Yu , Hannah An , Lenhart K. Schubert

Model finding, as embodied by SAT solvers and similar tools, is used widely, both in embedding settings and as a tool in its own right. For instance, tools like Alloy target SAT to enable users to incrementally define, explore, verify, and…

Computation and Language · Computer Science 2024-12-05 Siddhartha Prasad , Ben Greenman , Tim Nelson , Shriram Krishnamurthi

Boundary value analysis and testing (BVT) is fundamental in software quality assurance because faults tend to cluster at input extremes, yet testers often struggle to understand and justify why certain input-output pairs represent…

Software Engineering · Computer Science 2026-02-02 Sabinakhon Akbarova , Felix Dobslaw , Robert Feldt

Chain-of-thought (CoT) reasoning is fundamental to modern LLM architectures and represents a critical intervention point for AI safety. However, CoT reasoning may exhibit failure modes that we note as pathologies, which prevent it from…

Artificial Intelligence · Computer Science 2026-02-17 Manqing Liu , David Williams-King , Ida Caspary , Linh Le , Hannes Whittingham , Puria Radmard , Cameron Tice , Edward James Young

Chain-of-thought (CoT) reasoning has emerged as an effective approach for activating latent capabilities in LLMs. Interestingly, we observe that both CoT reasoning and self-training share the core objective: iteratively leveraging…

Computation and Language · Computer Science 2025-05-27 Zongqian Wu , Baoduo Xu , Ruochen Cui , Mengmeng Zhan , Xiaofeng Zhu , Lei Feng

Chain-of-Thought (CoT) plays a crucial role in reasoning for math problem solving. We conduct a comprehensive examination of methods for designing CoT, comparing conventional natural language CoT with various program CoTs, including the…

Computation and Language · Computer Science 2023-10-03 Zhanming Jie , Trung Quoc Luong , Xinbo Zhang , Xiaoran Jin , Hang Li