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We consider extensions of the language of Peano arithmetic by transfinitely iterated truth definitions satisfying uniform Tarskian biconditionals. Without further axioms, such theories are known to be conservative extensions of the original…

Logic · Mathematics 2019-10-31 Lev D. Beklemishev , Fedor N. Pakhomov

Symbolic perturbations offer a novel approach for influencing neural representations without requiring direct modification of model parameters. The recursive regeneration of symbolic structures introduces structured variations in latent…

Computation and Language · Computer Science 2025-08-11 Kathlyn Eaglewood , Tobias Featherington , Dorian Mayfair , Sylvester Grimshaw , James Pettigrew

Writing parallel codes is difficult and exhibits a fundamental trade-off between abstraction and performance. The high level language abstractions designed to simplify the complexities of parallelism make certain assumptions that impacts…

Programming Languages · Computer Science 2020-10-28 Nick Brown , Ludovic Capelli , J. Mark Bull

Recent research demonstrated that training large language models involves memorization of a significant fraction of training data. Such memorization can lead to privacy violations when training on sensitive user data and thus motivates the…

Machine Learning · Computer Science 2025-10-29 Vitaly Feldman , Guy Kornowski , Xin Lyu

Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the node encodes the choices made in the construction of the…

Most of the object notions are embedded into a logical domain, especially when dealing with a database theory. Thus, their properties within a computational domain are not yet studied properly. The main topic of this paper is to analyze…

Logic in Computer Science · Computer Science 2007-05-23 Viacheslav Wolfengagen

Generating high-quality code remains a challenge for Large Language Models (LLMs). For the evolution of reasoning models on this task, reward models are a necessary intermediate step. These models judge outcomes or intermediate steps.…

Artificial Intelligence · Computer Science 2025-12-11 Jan Niklas Groeneveld , Xi Qin , Alexander Schaefer , Yaad Oren

Transferring reasoning capabilities from larger language models to smaller ones through supervised fine-tuning often fails counterintuitively, with performance degrading despite access to high-quality teacher demonstrations. We identify…

Computation and Language · Computer Science 2025-09-29 Jaehoon Kim , Kwangwook Seo , Dongha Lee

What do large language models actually model? Do they tell us something about human capacities, or are they models of the corpus we've trained them on? I give a non-deflationary defence of the latter position. Cognitive science tells us…

Computation and Language · Computer Science 2025-08-27 Colin Klein

Many structured prediction problems (particularly in vision and language domains) are ambiguous, with multiple outputs being correct for an input - e.g. there are many ways of describing an image, multiple ways of translating a sentence;…

Machine Learning · Statistics 2018-06-11 Ashwin Kalyan , Stefan Lee , Anitha Kannan , Dhruv Batra

Supervised deep learning is most commonly applied to difficult problems defined on large and often extensively curated datasets. Here we demonstrate the ability of deep representation learning to address problems of classification and…

Machine Learning · Computer Science 2022-11-30 Benjamin L. Badger

Subword modeling for zero-resource languages aims to learn low-level representations of speech audio without using transcriptions or other resources from the target language (such as text corpora or pronunciation dictionaries). A good…

Audio and Speech Processing · Electrical Eng. & Systems 2020-04-20 Enno Hermann , Herman Kamper , Sharon Goldwater

Despite the remarkable capabilities of large language models (LLMs) in natural language understanding and reasoning, they often display undesirable behaviors, such as generating hallucinations and unfaithful reasoning. A prevalent strategy…

Computation and Language · Computer Science 2024-12-19 Yaoke Wang , Yun Zhu , Xintong Bao , Wenqiao Zhang , Suyang Dai , Kehan Chen , Wenqiang Li , Gang Huang , Siliang Tang , Yueting Zhuang

Large language models (LLMs) are able to generate grammatically well-formed text, but how do they encode their syntactic knowledge internally? While prior work has focused largely on binary grammatical contrasts, in this work, we study the…

Computation and Language · Computer Science 2025-09-16 Alina Klerings , Jannik Brinkmann , Daniel Ruffinelli , Simone Ponzetto

Large language models are classically trained in stages: pretraining on raw text followed by post-training for instruction following and reasoning. However, this separation creates a fundamental limitation: many desirable behaviors such as…

When scaled to hundreds of billions of parameters, pretrained language models such as GPT-3 (Brown et al., 2020) achieve remarkable few-shot performance. However, enormous amounts of compute are required for training and applying such big…

Computation and Language · Computer Science 2021-04-13 Timo Schick , Hinrich Schütze

We study program refactoring while considering the language or even the programming paradigm as a parameter. We use typed functional programs, namely Haskell programs, as the specification medium for a corresponding refactoring framework.…

Programming Languages · Computer Science 2007-05-23 Ralf Laemmel

We develop a behavioural theory of reflective sequential algorithms (RSAs), i.e. sequential algorithms that can modify their own behaviour. The theory comprises a set of language-independent postulates defining the class of RSAs, an…

Logic in Computer Science · Computer Science 2023-01-27 Klaus-Dieter Schewe , Flavio Ferrarotti

In real-world scenarios, where knowledge distributions exhibit long-tail. Humans manage to master knowledge uniformly across imbalanced distributions, a feat attributed to their diligent practices of reviewing, summarizing, and correcting…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Qihao Zhao , Yalun Dai , Shen Lin , Wei Hu , Fan Zhang , Jun Liu

Machine learning models can assist with metamaterials design by approximating computationally expensive simulators or solving inverse design problems. However, past work has usually relied on black box deep neural networks, whose reasoning…

Machine Learning · Computer Science 2022-10-04 Zhi Chen , Alexander Ogren , Chiara Daraio , L. Catherine Brinson , Cynthia Rudin