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Most model checkers provide a useful simulation mode, that allows users to explore the set of possible behaviours by interactively picking at each state which event to execute next. Traditionally this simulation mode cannot take into…

Software Engineering · Computer Science 2019-12-24 Julien Brunel , David Chemouil , Alcino Cunha , Nuno Macedo

In the present study, we investigate and compare reasoning in large language models (LLM) and humans using a selection of cognitive psychology tools traditionally dedicated to the study of (bounded) rationality. To do so, we presented to…

Computation and Language · Computer Science 2023-09-25 Nicolas Yax , Hernan Anlló , Stefano Palminteri

In the field of Explainable AI, multiples evaluation metrics have been proposed in order to assess the quality of explanation methods w.r.t. a set of desired properties. In this work, we study the articulation between the stability,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-23 Romain Xu-Darme , Jenny Benois-Pineau , Romain Giot , Georges Quénot , Zakaria Chihani , Marie-Christine Rousset , Alexey Zhukov

There is a significant gap between our theoretical understanding of optimization algorithms used in deep learning and their practical performance. Theoretical development usually focuses on proving convergence guarantees under a variety of…

Machine Learning · Computer Science 2025-11-03 Hoang Tran , Qinzi Zhang , Ashok Cutkosky

Reliability and failure detection of large language models (LLMs) is critical for their deployment in high-stakes, multi-step reasoning tasks. Prior work explores confidence estimation for self-evaluating LLM-scorer systems, with confidence…

Machine Learning · Computer Science 2025-11-11 Vaibhav Mavi , Shubh Jaroria , Weiqi Sun

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Formal verification of memory-manipulating programs critically depends on precise function specifications that capture memory states written by experts. This requirement has become a major bottleneck as large language models (LLMs)…

Software Engineering · Computer Science 2026-03-17 Liao Zhang , Tong Chen , Xiwei Wu , Qi Liu , Xiyu Zhai , Xinqi Wang , Qinxiang Cao

Mathematical theorems are human knowledge able to be accumulated in the form of symbolic representation, and proving theorems has been considered intelligent behavior. Based on the BHK interpretation and the Curry-Howard isomorphism, proof…

Neural and Evolutionary Computing · Computer Science 2016-04-18 Li-An Yang , Jui-Pin Liu , Chao-Hong Chen , Ying-ping Chen

Traditional symbolic reasoning engines, while attractive for their precision and explicability, have a few major drawbacks: the use of brittle inference procedures that rely on exact matching (unification) of logical terms, an inability to…

Computation and Language · Computer Science 2021-12-07 Aditya Kalyanpur , Tom Breloff , David Ferrucci

Logical specifications have been shown to help reinforcement learning algorithms in achieving complex tasks. However, when a task is under-specified, agents might fail to learn useful policies. In this work, we explore the possibility of…

Artificial Intelligence · Computer Science 2026-03-02 Tanmay Ambadkar , Đorđe Žikelić , Abhinav Verma

Large Language Models (LLMs) still struggle with complex logical reasoning. While previous works achieve remarkable improvements, their performance is highly dependent on the correctness of translating natural language (NL) problems into a…

Artificial Intelligence · Computer Science 2025-10-14 Xiangyu Wang , Haocheng Yang , Fengxiang Cheng , Fenrong Liu

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

Large Language Models (LLMs) increasingly show reasoning rationales alongside their answers, turning "reasoning" into a user-interface element. While step-by-step rationales are typically associated with model performance, how they…

Human-Computer Interaction · Computer Science 2026-03-10 Xin Sun , Shu Wei , Jos A Bosch , Isao Echizen , Saku Sugawara , Abdallah El Ali

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

Large language models (LLMs) have been used to generate formal proofs of mathematical theorems in proofs assistants such as Lean. However, we often want to optimize a formal proof with respect to various criteria, depending on its…

Artificial Intelligence · Computer Science 2026-05-22 Riyaz Ahuja , Jeremy Avigad , Prasad Tetali , Sean Welleck

Formal specifications, such as pre- and post-conditions provide a solid basis for performing thorough program verification. However, developers rarely provide such formal specifications, hence if AI could help in constructing them, it would…

Software Engineering · Computer Science 2026-03-19 I. S. W. B. Prasetya , Fitsum Kifetew , Davide Prandi

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Large language models (LLMs) have recently shown strong performance on Theory of Mind (ToM) tests, prompting debate about the nature and true performance of the underlying capabilities. At the same time, reasoning-oriented LLMs trained via…

Artificial Intelligence · Computer Science 2026-01-26 Ian B. de Haan , Peter van der Putten , Max van Duijn

With the emergence of advanced reasoning models like OpenAI o3 and DeepSeek-R1, large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, their ability to perform rigorous logical reasoning remains an open…

Artificial Intelligence · Computer Science 2025-02-14 Hanmeng Liu , Zhizhang Fu , Mengru Ding , Ruoxi Ning , Chaoli Zhang , Xiaozhang Liu , Yue Zhang

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský
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