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Mathematical reasoning demands two critical, complementary skills: constructing rigorous proofs for true statements and discovering counterexamples that disprove false ones. However, current AI efforts in mathematics focus almost…

Artificial Intelligence · Computer Science 2026-03-23 Zenan Li , Zhaoyu Li , Kaiyu Yang , Xiaoxing Ma , Zhendong Su

We present a novel framework for augmenting data sets for machine learning based on counterexamples. Counterexamples are misclassified examples that have important properties for retraining and improving the model. Key components of our…

Using an interactive theorem prover to reason about programs involves a sequence of interactions where the user challenges the theorem prover with conjectures. Invariably, many of the conjectures posed are in fact false, and users often…

Software Engineering · Computer Science 2011-10-24 Harsh Raju Chamarthi , Peter C. Dillinger , Matt Kaufmann , Panagiotis Manolios

Automatic argument generation is an appealing but challenging task. In this paper, we study the specific problem of counter-argument generation, and present a novel framework, CANDELA. It consists of a powerful retrieval system and a novel…

Computation and Language · Computer Science 2019-06-11 Xinyu Hua , Zhe Hu , Lu Wang

Natural language counterfactual generation aims to minimally modify a given text such that the modified text will be classified into a different class. The generated counterfactuals provide insight into the reasoning behind a model's…

Computation and Language · Computer Science 2024-10-08 Yongjie Wang , Xiaoqi Qiu , Yu Yue , Xu Guo , Zhiwei Zeng , Yuhong Feng , Zhiqi Shen

Counterexamples explain why a desired temporal logic property fails to hold. The generation of counterexamples is considered to be one of the primary advantages of model checking as a verification technique. Furthermore, when model checking…

Software Engineering · Computer Science 2016-07-11 G. W. Hamilton

We report on our experience using ACL2 in the classroom to teach students about software testing. The course COSC2300 at the University of Wyoming is a mostly traditional Discrete Mathematics course, but with a clear focus on computer…

Logic in Computer Science · Computer Science 2022-05-25 Ruben Gamboa , Alicia Thoney

We describe defret-mutual-generate, a utility for proving ACL2 theorems about large mutually recursive cliques of functions. This builds on previous tools such as defret-mutual and make-flag, which automate parts of the process but still…

Logic in Computer Science · Computer Science 2020-09-30 Sol Swords

Existing algorithms for generating Counterfactual Explanations (CXs) for Machine Learning (ML) typically assume fully specified inputs. However, real-world data often contains missing values, and the impact of these incomplete inputs on the…

Artificial Intelligence · Computer Science 2026-04-10 Francesco Leofante , Daniel Neider , Mustafa Yalçıner

Deep NLP models have been shown to learn spurious correlations, leaving them brittle to input perturbations. Recent work has shown that counterfactual or contrastive data -- i.e. minimally perturbed inputs -- can reveal these weaknesses,…

Computation and Language · Computer Science 2022-03-31 Bhargavi Paranjape , Matthew Lamm , Ian Tenney

Counterfactual Data Augmentation (CDA) is a commonly used technique for improving robustness in natural language classifiers. However, one fundamental challenge is how to discover meaningful counterfactuals and efficiently label them, with…

Computation and Language · Computer Science 2023-05-24 Ananth Balashankar , Xuezhi Wang , Yao Qin , Ben Packer , Nithum Thain , Jilin Chen , Ed H. Chi , Alex Beutel

Machine Learning has seen tremendous growth recently, which has led to larger adoption of ML systems for educational assessments, credit risk, healthcare, employment, criminal justice, to name a few. The trustworthiness of ML and NLP…

Computation and Language · Computer Science 2021-03-19 Nishtha Madaan , Inkit Padhi , Naveen Panwar , Diptikalyan Saha

Counterfactuals refer to minimally edited inputs that cause a model's prediction to change, serving as a promising approach to explaining the model's behavior. Large language models (LLMs) excel at generating English counterfactuals and…

Computation and Language · Computer Science 2026-04-07 Qianli Wang , Van Bach Nguyen , Yihong Liu , Fedor Splitt , Nils Feldhus , Christin Seifert , Hinrich Schütze , Sebastian Möller , Vera Schmitt

In model checking, when a given model fails to satisfy the desired specification, a typical model checker provides a counterexample that illustrates how the violation occurs. In general, there exist many diverse counterexamples that exhibit…

Software Engineering · Computer Science 2021-10-12 Cole Vick , Eunsuk Kang , Stavros Tripakis

A machine learning model, under the influence of observed or unobserved confounders in the training data, can learn spurious correlations and fail to generalize when deployed. For image classifiers, augmenting a training dataset using…

Machine Learning · Computer Science 2022-12-13 Abbavaram Gowtham Reddy , Saloni Dash , Amit Sharma , Vineeth N Balasubramanian

As machine learning (ML) models become more widely deployed in high-stakes applications, counterfactual explanations have emerged as key tools for providing actionable model explanations in practice. Despite the growing popularity of…

Machine Learning · Computer Science 2022-12-16 Martin Pawelczyk , Chirag Agarwal , Shalmali Joshi , Sohini Upadhyay , Himabindu Lakkaraju

Counterfactual explanations provide means for prescriptive model explanations by suggesting actionable feature changes (e.g., increase income) that allow individuals to achieve favorable outcomes in the future (e.g., insurance approval).…

Machine Learning · Computer Science 2022-12-16 Martin Pawelczyk , Sascha Bielawski , Johannes van den Heuvel , Tobias Richter , Gjergji Kasneci

Large language models (LLMs) have significantly benefited from training on diverse, high-quality task-specific data, leading to impressive performance across a range of downstream applications. Current methods often rely on human-annotated…

Computation and Language · Computer Science 2024-10-23 Qintong Li , Jiahui Gao , Sheng Wang , Renjie Pi , Xueliang Zhao , Chuan Wu , Xin Jiang , Zhenguo Li , Lingpeng Kong

Finding counterevidence to statements is key to many tasks, including counterargument generation. We build a system that, given a statement, retrieves counterevidence from diverse sources on the Web. At the core of this system is a natural…

Computation and Language · Computer Science 2021-09-21 Yohan Jo , Haneul Yoo , JinYeong Bak , Alice Oh , Chris Reed , Eduard Hovy

Providing explanations about how machine learning algorithms work and/or make particular predictions is one of the main tools that can be used to improve their trusworthiness, fairness and robustness. Among the most intuitive type of…

Machine Learning · Computer Science 2024-04-12 Rubén Ruiz-Torrubiano
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