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Hella et al. (PODC 2012, Distributed Computing 2015) identified seven different models of distributed computing - one of which is the port-numbering model - and provided a complete classification of their computational power relative to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-12 Tuomo Lempiäinen

Test-time compute scaling, the practice of spending extra computation during inference via repeated sampling, search, or extended reasoning, has become a powerful lever for improving large language model performance. Yet deploying these…

Machine Learning · Computer Science 2026-04-17 Zhiyuan Zhai , Bingcong Li , Bingnan Xiao , Ming Li , Xin Wang

Abstract machines for the strong evaluation of lambda-terms (that is, under abstractions) are a mostly neglected topic, despite their use in the implementation of proof assistants and higher-order logic programming languages. This paper…

Programming Languages · Computer Science 2016-03-18 Beniamino Accattoli , Pablo Barenbaum , Damiano Mazza

Majorly classical Active Learning (AL) approach usually uses statistical theory such as entropy and margin to measure instance utility, however it fails to capture the data distribution information contained in the unlabeled data. This can…

Machine Learning · Computer Science 2020-12-10 Patrick K. Gikunda , Nicolas Jouandeau

We introduce a probabilistic extension of Levy's Call-By-Push-Value. This extension consists simply in adding a " flipping coin " boolean closed atomic expression. This language can be understood as a major generalization of Scott's PCF…

Logic in Computer Science · Computer Science 2023-06-22 Thomas Ehrhard , Christine Tasson

We revisit test-time scaling for language model reasoning and ask a fundamental question: at equal token budget and compute, is it better to run multiple independent chains in parallel, or to run fewer chains that iteratively refine through…

Machine Learning · Computer Science 2025-11-05 Aman Sharma , Paras Chopra

The Functional Machine Calculus (Heijltjes 2022) is a new approach to unifying the imperative and functional programming paradigms. It extends the lambda-calculus, preserving the key features of confluent reduction and typed termination, to…

Programming Languages · Computer Science 2026-03-03 Willem Heijltjes

A cornerstone of the theory of lambda-calculus is that intersection types characterise termination properties. They are a flexible tool that can be adapted to various notions of termination, and that also induces adequate denotational…

Logic in Computer Science · Computer Science 2019-02-18 Beniamino Accattoli , Giulio Guerrieri , Maico Leberle

The problem of checking a logged event trace against a temporal logic specification arises in many practical cases. Unfortunately, known algorithms for an expressive logic like MTL (Metric Temporal Logic) do not scale with respect to two…

Software Engineering · Computer Science 2015-08-27 Marcello M. Bersani , Domenico Bianculli , Carlo Ghezzi , Srdan Krstic , Pierluigi San Pietro

In this work we study randomised reduction strategies,a notion already known in the context of abstract reduction systems, for the $\lambda$-calculus. We develop a simple framework that allows us to prove a randomised strategy to be…

Logic in Computer Science · Computer Science 2019-11-12 Ugo Dal Lago , Gabriele Vanoni

For many tasks of data analysis, we may only have the information of the explanatory variable and the evaluation of the response values are quite expensive. While it is impractical or too costly to obtain the responses of all units, a…

Computation · Statistics 2023-04-07 Wei Zheng , Ting Tian , Xueqin Wang

A non-deterministic call-by-need lambda-calculus \calc with case, constructors, letrec and a (non-deterministic) erratic choice, based on rewriting rules is investigated. A standard reduction is defined as a variant of left-most outermost…

Programming Languages · Computer Science 2007-05-23 Manfred Schmidt-Schauß , Michael Huber

Test-time compute scaling has emerged as a powerful paradigm for enhancing mathematical reasoning in large language models (LLMs) by allocating additional computational resources during inference. However, current methods employ uniform…

Computation and Language · Computer Science 2025-12-02 Yang Xiao , Chunpu Xu , Ruifeng Yuan , Jiashuo Wang , Wenjie Li , Pengfei Liu

Large Language Models (LLMs) solve many reasoning tasks via chain-of-thought (CoT) prompting, but smaller models (about 7 to 8B parameters) still struggle with multi-step reasoning under tight compute and token budgets. Existing test time…

Computation and Language · Computer Science 2026-04-29 Sagnik Chatterjee , Atharva Patil , Sricharan Ramesh

Large reasoning models (LRMs) improve problem solving through extended reasoning, but often misallocate test-time compute. Existing efficiency methods reduce cost by compressing reasoning traces or conditioning budget on perceived…

Artificial Intelligence · Computer Science 2026-05-13 Zhaomeng Zhou , Lan Zhang , Junyang Wang , Mu Yuan , Junda Lin

Large Language Models (LLMs) consistently benefit from scaled Chain-of-Thought (CoT) reasoning, but also suffer from heavy computational overhead. To address this issue, efficient reasoning aims to incentivize short yet accurate thinking…

Computation and Language · Computer Science 2026-03-23 Taiqiang Wu , Zenan Xu , Bo Zhou , Ngai Wong

Prevalent reinforcement learning~(RL) methods for fine-tuning LLM reasoners, such as GRPO or Leave-one-out PPO, abandon the learned value function in favor of empirically estimated returns. This hinders test-time compute scaling that relies…

Machine Learning · Computer Science 2026-04-14 Kusha Sareen , Morgane M Moss , Alessandro Sordoni , Rishabh Agarwal , Arian Hosseini

Repeated sampling is a standard way to spend test-time compute, but its benefit is controlled by the latent distribution of correctness across examples, not by one-call accuracy alone. We study the binary correctness layer of repeated LLM…

Machine Learning · Computer Science 2026-05-08 Yi Liu

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

While the scaling laws of large language models (LLMs) training have been extensively studied, optimal inference configurations of LLMs remain underexplored. We study inference scaling laws (aka test-time scaling laws) and compute-optimal…

Artificial Intelligence · Computer Science 2025-03-04 Yangzhen Wu , Zhiqing Sun , Shanda Li , Sean Welleck , Yiming Yang
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