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We present the design, implementation, and foundation of a verifier for higher-order functional programs with generics and recursive data types. Our system supports proving safety and termination using preconditions, postconditions and…

Logic in Computer Science · Computer Science 2020-03-25 Jad Hamza , Nicolas Voirol , Viktor Kunčak

Automated verification tools based on SMT solvers have made significant progress in verifying complex software systems. However, these tools face a fundamental tension between automation and performance when dealing with quantifier…

Software Engineering · Computer Science 2025-12-04 Alexander Y. Bai , Chris Hawblitzel , Andrea Lattuada

The companion paper introduced a four-level verification lattice on agent-skill manifests (unverified, declared, tested, formal) and left the top level aspirational. This paper closes that gap. We give a precise semantics for skill…

Artificial Intelligence · Computer Science 2026-05-26 Alfredo Metere

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

Self-improvement at scale has been a longstanding goal for reasoning models, and there are two natural places to do it: at test time, through verification-refinement (V-R) loops; and at training time, through self-training methods. Both are…

Machine Learning · Computer Science 2026-05-29 Chen Henry Wu , Aditi Raghunathan

Recent work has shown that an answer verification step introduced in Transformer-based answer selection models can significantly improve the state of the art in Question Answering. This step is performed by aggregating the embeddings of top…

Computation and Language · Computer Science 2022-01-19 Zeyu Zhang , Thuy Vu , Alessandro Moschitti

Trustworthy machine learning is of primary importance to the practical deployment of deep learning models. While state-of-the-art models achieve astonishingly good performance in terms of accuracy, recent literature reveals that their…

Machine Learning · Computer Science 2023-02-07 Ailin Deng , Shen Li , Miao Xiong , Zhirui Chen , Bryan Hooi

Formal verification of neural networks is an active topic of research, and recent advances have significantly increased the size of the networks that verification tools can handle. However, most methods are designed for verification of an…

Artificial Intelligence · Computer Science 2022-04-06 Thomas A. Henzinger , Mathias Lechner , Đorđe Žikelić

Automatic verification of array manipulating programs is a challenging problem because it often amounts to the inference of in ductive quantified loop invariants which, in some cases, may not even be firstorder expressible. In this paper,…

Programming Languages · Computer Science 2021-06-03 Oren Ish Shalom , Shachar Itzhaky , Noam Rinetzky , Sharon Shoham

Technological advancement allows information to be shared in just a single click, which has enabled the rapid spread of false information. This makes automated fact-checking system necessary to ensure the safety and integrity of our online…

Artificial Intelligence · Computer Science 2025-12-02 Anab Maulana Barik , Shou Ziyi , Yang Kaiwen , Yang Qi , Shen Xin

Advanced test-time computing strategies are essential for scaling reasoning models, but their effectiveness is capped by the models' poor self-evaluation. We propose a pairwise Explanatory Verifier, trained via reinforcement learning…

Artificial Intelligence · Computer Science 2025-09-25 Anisha Garg , Engin Tekin , Yash More , David Bick , Nishit Neema , Ganesh Venkatesh

State-of-the-art language models can match human performance on many tasks, but they still struggle to robustly perform multi-step mathematical reasoning. To diagnose the failures of current models and support research, we introduce GSM8K,…

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

Sequential decision making significantly speeds up research and is more cost-effective compared to fixed-n methods. We present a method for sequential decision making for stratified count data that retains Type-I error guarantee or false…

Methodology · Statistics 2023-02-23 Rosanne J. Turner , Peter D. Grünwald

Model performance evaluation is a critical and expensive task in machine learning and computer vision. Without clear guidelines, practitioners often estimate model accuracy using a one-time completely random selection of the data. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Riccardo Fogliato , Pratik Patil , Mathew Monfort , Pietro Perona

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Artificial Intelligence · Computer Science 2021-11-29 Xidan Song , Edoardo Manino , Luiz Sena , Erickson Alves , Eddie de Lima Filho , Iury Bessa , Mikel Lujan , Lucas Cordeiro

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

We present a proof by induction algorithm, which combines k-induction with invariants to model check embedded C software with bounded and unbounded loops. The k-induction algorithm consists of three cases: in the base case, we aim to find a…

Logic in Computer Science · Computer Science 2015-09-09 Herbert Rocha , Hussama Ismail , Lucas Cordeiro , Raimundo Barreto

Recent studies have demonstrated the effectiveness of LLM test-time scaling. However, existing approaches to incentivize LLMs' deep thinking abilities generally require large-scale data or significant training efforts. Meanwhile, it remains…

Computation and Language · Computer Science 2025-02-19 Ruotian Ma , Peisong Wang , Cheng Liu , Xingyan Liu , Jiaqi Chen , Bang Zhang , Xin Zhou , Nan Du , Jia Li

We present a novel proof by induction algorithm, which combines k-induction with invariants to model check C programs with bounded and unbounded loops. The k-induction algorithm consists of three cases: in the base case, we aim to find a…

Logic in Computer Science · Computer Science 2015-02-10 Herbert Rocha , Hussama Ismail , Lucas Cordeiro , Raimundo Barreto