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Formal theorem provers based on large language models (LLMs) are highly sensitive to superficial variations in problem representation: semantically equivalent statements can exhibit drastically different proof success rates, revealing a…

Considering patterns as sets of their instances, a difference operator over patterns computes a finite set of two given patterns, which represents the difference between the dividend pattern and the divisor pattern. A complement of a…

Logic in Computer Science · Computer Science 2025-07-09 Naoki Nishida , Misaki Kojima , Yuto Nakamura

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

Intensional sets, i.e., sets given by a property rather than by enumerating elements, are widely recognized as a key feature to describe complex problems (see, e.g., specification languages such as B and Z). Notwithstanding, very few tools…

Logic in Computer Science · Computer Science 2019-10-22 Maximiliano Cristiá , Gianfranco Rossi

Manually grading the Response to Text Assessment (RTA) is labor intensive. Therefore, an automatic method is being developed for scoring analytical writing when the RTA is administered in large numbers of classrooms. Our long-term goal is…

Computation and Language · Computer Science 2020-02-26 Haoran Zhang , Diane Litman

Large language models (LLMs) have recently demonstrated remarkable progress in reasoning capabilities through reinforcement learning with verifiable rewards (RLVR). By leveraging simple rule-based rewards, RL effectively incentivizes LLMs…

Artificial Intelligence · Computer Science 2025-07-25 Shiye Lei , Zhihao Cheng , Kai Jia , Dacheng Tao

Natural generation allows Large Language Models (LLMs) to produce free-form responses with rich reasoning, yet the lack of structure makes outputs difficult to verify. Conversely, constrained decoding ensures standardized formats but can…

Computation and Language · Computer Science 2026-05-29 Ngoc Trinh Hung Nguyen , Alonso Silva , Laith Zumot , Liubov Tupikina , Armen Aghasaryan , Mehwish Alam

We present a translation function from nominal rewriting systems (NRSs) to combinatory reduction systems (CRSs), transforming closed nominal rules and ground nominal terms to CRSs rules and terms, respectively, while preserving the…

Logic in Computer Science · Computer Science 2017-01-11 Jesús Domínguez , Maribel Fernández

Input design is an important issue for classical system identification methods but has not been investigated for the kernel-based regularization method (KRM) until very recently. In this paper, we consider in the time domain the input…

Systems and Control · Computer Science 2017-08-21 Biqiang Mu , Tianshi Chen

RRULES is presented as an improvement and optimization over RULES, a simple inductive learning algorithm for extracting IF-THEN rules from a set of training examples. RRULES optimizes the algorithm by implementing a more effective mechanism…

Machine Learning · Computer Science 2021-06-15 Rafel Palliser-Sans

Neural reasoners such as Tiny Recursive Models (TRMs) solve complex problems by combining neural backbones with specialized inference schemes. Such inference schemes have been a central component of stochastic reasoning systems, where…

Machine Learning · Computer Science 2026-03-06 Mieszko Komisarczyk , Saurabh Mathur , Maurice Kraus , Sriraam Natarajan , Kristian Kersting

This work presents a novel systematic methodology to analyse the capabilities and limitations of Large Language Models (LLMs) with feedback from a formal inference engine, on logic theory induction. The analysis is complexity-graded w.r.t.…

Computation and Language · Computer Science 2025-01-15 João Pedro Gandarela , Danilo S. Carvalho , André Freitas

In this paper, we propose reverse inference optimization (RIO), a simple and effective method designed to enhance the robustness of autoregressive-model-based zero-shot text-to-speech (TTS) systems using reinforcement learning from human…

Computation and Language · Computer Science 2024-07-03 Yuchen Hu , Chen Chen , Siyin Wang , Eng Siong Chng , Chao Zhang

Reasoning is an important task for large language models (LLMs). Among all the reasoning paradigms, inductive reasoning is one of the fundamental types, which is characterized by its particular-to-general thinking process and the…

Computation and Language · Computer Science 2026-04-14 Kedi Chen , Dezhao Ruan , Yuhao Dan , Yaoting Wang , Siyu Yan , Xuecheng Wu , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Biqing Qi , Linyang Li , Qipeng Guo , Xiaoming Shi , Wei Zhang

A central piece in enabling intelligent agentic behavior in foundation models is to make them capable of introspecting upon their behavior, reasoning, and correcting their mistakes as more computation or interaction is available. Even the…

Machine Learning · Computer Science 2024-07-29 Yuxiao Qu , Tianjun Zhang , Naman Garg , Aviral Kumar

With the rise of LLMs, there is an increasing need for intelligent recommendation assistants that can handle complex queries and provide personalized, reasoning-driven recommendations. LLM-based recommenders show potential but face…

Information Retrieval · Computer Science 2026-04-10 Jiani Huang , Shijie Wang , Liangbo Ning , Wenqi Fan , Qing Li

With the growing popularity of LLM agents and RAG, it has become increasingly important to retrieve documents that are essential for solving a task, even when their connection to the task is indirect or implicit. Addressing this problem…

Information Retrieval · Computer Science 2025-10-14 Junwei Lan , Jianlyu Chen , Zheng Liu , Chaofan Li , Siqi Bao , Defu Lian

Facilitated by large language models (LLMs), personalized text generation has become a rapidly growing research direction. Most existing studies focus on designing specialized models for a particular domain, or they require fine-tuning the…

Computation and Language · Computer Science 2024-02-09 Cheng Li , Mingyang Zhang , Qiaozhu Mei , Weize Kong , Michael Bendersky

Rubric-based text evaluation increasingly uses large language models (LLMs) as scalable judges, but aligning frozen black-box models with human scoring standards remains challenging. We formulate this challenge as a criteria-transfer…

Computation and Language · Computer Science 2026-05-29 Yihan Hong , Huaiyuan Yao , Bolin Shen , Wanpeng Xu , Hua Wei , Yushun Dong

Historical linguists have long written a kind of incompletely formalized ''program'' that converts reconstructed words in an ancestor language into words in one of its attested descendants that consist of a series of ordered string rewrite…

Computation and Language · Computer Science 2025-04-03 Atharva Naik , Kexun Zhang , Nathaniel Robinson , Aravind Mysore , Clayton Marr , Hong Sng , Rebecca Byrnes , Anna Cai , Kalvin Chang , David Mortensen
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