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Formal methods yet advantageous, face challenges towards wide acceptance and adoption in software development practices. The major reason being presumed complexity. The issue can be addressed by academia with a thoughtful plan of teaching…

Software Engineering · Computer Science 2019-06-05 Mansur Khazeev , Manuel Mazzara , Daniel De Carvalho , Hamna Aslam

Current techniques for post-training Large Language Models (LLMs) rely either on costly human supervision or on external verifiers to boost performance on tasks such as mathematical reasoning and code generation. However, as LLMs improve…

Computation and Language · Computer Science 2026-01-21 Mukesh Ghimire , Aosong Feng , Liwen You , Youzhi Luo , Fang Liu , Xuan Zhu

Self-evolving agents should not train on examples they cannot justify. Data-free self-evolving search agents offer a scalable route to systems that generate their own questions, answer them, and improve from their own feedback without human…

Artificial Intelligence · Computer Science 2026-05-25 Yamato Arai , Yuma Ichikawa

Claim verification is the task of determining whether a claim is supported or refuted by evidence. Self-improvement methods, where reasoning chains are generated and those leading to correct results are selected for training, have succeeded…

Artificial Intelligence · Computer Science 2025-09-25 Haisong Gong , Jing Li , Junfei Wu , Qiang Liu , Shu Wu , Liang Wang

Large language models (LLMs) have advanced rapidly in recent years, driven by scale, abundant high-quality training data, and reinforcement learning. Yet this progress faces a fundamental bottleneck: the need for ever more data from which…

Artificial Intelligence · Computer Science 2025-12-22 Jakub Grudzien Kuba , Mengting Gu , Qi Ma , Yuandong Tian , Vijai Mohan , Jason Chen

Progress in long-context reasoning for large language models (LLMs) has lagged behind other recent advances. This gap arises not only from the intrinsic difficulty of processing long texts, but also from the scarcity of reliable human…

Computation and Language · Computer Science 2026-03-16 Ziyi Yang , Weizhou Shen , Chenliang Li , Ruijun Chen , Fanqi Wan , Ming Yan , Xiaojun Quan , Fei Huang

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich

In this work, we propose a novel method named \textbf{Auto}mated \textbf{P}rocess-\textbf{S}upervised \textbf{V}erifier (\textbf{\textsc{AutoPSV}}) to enhance the reasoning capabilities of large language models (LLMs) by automatically…

Computation and Language · Computer Science 2024-10-25 Jianqiao Lu , Zhiyang Dou , Hongru Wang , Zeyu Cao , Jianbo Dai , Yingjia Wan , Zhijiang Guo

Recent advances have demonstrated the effectiveness of Reinforcement Learning (RL) in improving the reasoning capabilities of Large Language Models (LLMs). However, existing works inevitably rely on high-quality instructions and verifiable…

Computation and Language · Computer Science 2026-01-27 Wenkai Fang , Shunyu Liu , Yang Zhou , Kongcheng Zhang , Tongya Zheng , Kaixuan Chen , Mingli Song , Dacheng Tao

Game theory provides an effective way to model strategic interactions among rational agents. In the context of formal verification, these ideas can be used to produce guarantees on the correctness of multi-agent systems, with a diverse…

Computer Science and Game Theory · Computer Science 2024-11-11 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

Machine Learning · Computer Science 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi

Recent work on reinforcement learning with verifiable rewards (RLVR) has shown that large language models (LLMs) can be substantially improved using outcome-level verification signals, such as unit tests for code or exact-match checks for…

Computation and Language · Computer Science 2026-01-27 Massimiliano Pronesti , Anya Belz , Yufang Hou

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

In games, as in and many other domains, design validation and testing is a huge challenge as systems are growing in size and manual testing is becoming infeasible. This paper proposes a new approach to automated game validation and testing.…

Software Engineering · Computer Science 2022-08-22 Alessandro Sestini , Joakim Bergdahl , Konrad Tollmar , Andrew D. Bagdanov , Linus Gisslén

Probabilistic programming provides a convenient lingua franca for writing succinct and rigorous descriptions of probabilistic models and inference tasks. Several probabilistic programming languages, including Anglican, Church or Hakaru,…

Logic in Computer Science · Computer Science 2020-02-26 Tetsuya Sato , Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Justin Hsu

Formal verification guarantees proof validity but not formalization faithfulness. For natural-language logical reasoning, where models construct axiom systems from scratch without library constraints, this gap between valid proofs and…

Artificial Intelligence · Computer Science 2026-04-22 Kyuhee Kim , Auguste Poiroux , Antoine Bosselut

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

Large-scale verifiable prompts underpin the success of Reinforcement Learning with Verifiable Rewards (RLVR), but they contain many uninformative examples and are costly to expand further. Recent studies focus on better exploiting limited…

Computation and Language · Computer Science 2026-04-23 Xin Xu , Clive Bai , Kai Yang , Tianhao Chen , Yangkun Chen , Weijie Liu , Hao Chen , Yang Wang , Saiyong Yang , Can Yang

Current multimodal models often suffer from shallow reasoning, leading to errors caused by incomplete or inconsistent thought processes. To address this limitation, we propose Self-Verification and Self-Rectification (SVSR), a unified…

Artificial Intelligence · Computer Science 2026-05-29 Zhe Qian , Nianbing Su , Zhonghua Wang , Hebei Li , Zhongxing Xu , Yueying Li , Fei Luo , Zhuohan Ouyang , Yanbiao Ma

Fairness in machine learning is more important than ever as ethical concerns continue to grow. Individual fairness demands that individuals differing only in sensitive attributes receive the same outcomes. However, commonly used machine…

Machine Learning · Computer Science 2025-08-22 Ruihan Zhang , Jun Sun