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SAT provers are powerful tools for solving real-sized logic problems, but using them requires solid programming knowledge and may be seen w.r.t.\ logic like assembly language w.r.t.\ programming. Something like a high level language was…

Computers and Society · Computer Science 2015-07-15 Khaled Skander Ben Slimane , Alexis Comte , Olivier Gasquet , Abdelwahab Heba , Olivier Lezaud , Frederic Maris , Mael Valais

Logics and model-checking have been successfully used in the last decades for modeling and verification of various types of hardware (and software) systems. While most languages and techniques emerged in a context of monolithic systems with…

Software Engineering · Computer Science 2016-07-14 Manuel Mazzara

As large language models (LLMs) have shown effectiveness with different prompting methods, such as Chain of Thought, Program of Thought, we find that these methods have formed a great complementarity to each other on math reasoning tasks.…

Computation and Language · Computer Science 2023-12-29 Tengxiao Liu , Qipeng Guo , Yuqing Yang , Xiangkun Hu , Yue Zhang , Xipeng Qiu , Zheng Zhang

We present POTATO, a task- and languageindependent framework for human-in-the-loop (HITL) learning of rule-based text classifiers using graph-based features. POTATO handles any type of directed graph and supports parsing text into Abstract…

Computation and Language · Computer Science 2022-10-18 Ádám Kovács , Kinga Gémes , Eszter Iklódi , Gábor Recski

LiTS is a modular Python framework for LLM reasoning via tree search. It decomposes tree search into three reusable components (Policy, Transition, and RewardModel) that plug into algorithms like MCTS and BFS. A decorator-based registry…

Artificial Intelligence · Computer Science 2026-05-19 Xinzhe Li , Yaguang Tao

Large Language Models (LLMs) excel at many tasks but often falter on complex problems that require structured, multi-step reasoning. We introduce the Diagram of Thought (DoT), a framework that enables a single LLM to build and navigate a…

Computation and Language · Computer Science 2026-05-15 Yifan Zhang , Yang Yuan , Andrew Chi-Chih Yao

Large language models are increasingly being used to assess and forecast research ideas, yet we lack scalable ways to evaluate the quality of models' judgments about these scientific ideas. Towards this goal, we introduce PoT, a…

Computation and Language · Computer Science 2026-01-13 Bingyang Ye , Shan Chen , Jingxuan Tu , Chen Liu , Zidi Xiong , Samuel Schmidgall , Danielle S. Bitterman

In Bounded Model Checking both the system model and the checked property are translated into a Boolean formula to be analyzed by a SAT-solver. We introduce a new encoding technique which is particularly optimized for managing quantitative…

Logic in Computer Science · Computer Science 2015-05-13 Matteo Pradella , Angelo Morzenti , Pierluigi San Pietro

Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

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

Large language models (LLMs) have exhibited remarkable capabilities across various domains. The ability to call external tools further expands their capability to handle real-world tasks. However, LLMs often follow an opaque reasoning…

Machine Learning · Computer Science 2025-11-20 Ruixin Zhang , Jon Donnelly , Zhicheng Guo , Ghazal Khalighinejad , Haiyang Huang , Alina Jade Barnett , Cynthia Rudin

Long chain-of-thought (CoT) is an essential ingredient in effective usage of modern large language models, but our understanding of the reasoning strategies underlying these capabilities remains limited. While some prior works have…

Computation and Language · Computer Science 2025-05-16 Seongyun Lee , Seungone Kim , Minju Seo , Yongrae Jo , Dongyoung Go , Hyeonbin Hwang , Jinho Park , Xiang Yue , Sean Welleck , Graham Neubig , Moontae Lee , Minjoon Seo

Dedukti has been proposed as a universal proof checker. It is a logical framework based on the lambda Pi calculus modulo that is used as a backend to verify proofs coming from theorem provers, especially those implementing some form of…

Logic in Computer Science · Computer Science 2015-08-03 Raphaël Cauderlier , Pierre Halmagrand

The logic embedding tool provides a procedural encoding for non-classical reasoning problems into classical higher-order logic. It is extensible and can support an increasing number of different non-classical logics as reasoning targets.…

Artificial Intelligence · Computer Science 2022-03-24 Alexander Steen

We present here a new explicit reasoning framework for linear temporal logic (LTL), which is built on top of propositional satisfiability (SAT) solving. As a proof-of-concept of this framework, we describe a new LTL satisfiability tool,…

Logic in Computer Science · Computer Science 2015-12-08 Jianwen Li , Shufang Zhu , Geguang Pu , Moshe Vardi

Satisfiability checking for Linear Temporal Logic (LTL) is a fundamental step in checking for possible errors in LTL assertions. Extant LTL satisfiability checkers use a variety of different search procedures. With the sole exception of LTL…

Logic in Computer Science · Computer Science 2014-04-30 Jianwen Li , Geguang Pu , Lijun Zhang , Moshe Y. Vardi , Jifeng He

Chain-of-Thought (CoT) and Program-Aided Language Models (PAL) represent two distinct reasoning methods, each with its own strengths. CoT employs natural language, offering flexibility and interpretability, while PAL utilizes programming…

Computation and Language · Computer Science 2023-10-24 James Xu Zhao , Yuxi Xie , Kenji Kawaguchi , Junxian He , Michael Qizhe Xie

As language models are increasingly deployed for complex autonomous tasks, their ability to reason accurately over longer horizons becomes critical. An essential component of this ability is planning and managing a long, complex…

We introduce Graph of Thoughts (GoT): a framework that advances prompting capabilities in large language models (LLMs) beyond those offered by paradigms such as Chain-of-Thought or Tree of Thoughts (ToT). The key idea and primary advantage…

Alloy is formal modeling language based on first-order relational logic, with no specific support for specifying reactive systems. We propose the usage of temporal logic to specify such systems, and show how bounded model checking can be…

Software Engineering · Computer Science 2015-06-26 Alcino Cunha
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