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Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although it has been used with complex data, some adaptations were then necessary…

Information Theory · Computer Science 2016-06-16 João P. F. Guimarães , Aluisio I. R. Fontes , Joilson B. A. Rego , Allan de M. Martins

Software is now ubiquitous and involved in complex interactions with the human users and the physical world in so-called cyber-physical systems where the management of time is a major issue. Separation of concerns is a key asset in the…

Logic in Computer Science · Computer Science 2018-10-24 Mathieu Montin , Marc Pantel

Probabilistic logic reasoning is a central component of such cognitive architectures as OpenCog. However, as an integrative architecture, OpenCog facilitates cognitive synergy via hybridization of different inference methods. In this paper,…

Artificial Intelligence · Computer Science 2019-07-11 Alexey Potapov , Anatoly Belikov , Vitaly Bogdanov , Alexander Scherbatiy

We study bisimulation and context equivalence in a probabilistic $\lambda$-calculus. The contributions of this paper are threefold. Firstly we show a technique for proving congruence of probabilistic applicative bisimilarity. While the…

Programming Languages · Computer Science 2013-11-08 Ugo Dal Lago , Davide Sangiorgi , Michele Alberti

It is common to prove by reasoning over source code that programs do not leak sensitive data. But doing so leaves a gap between reasoning and reality that can only be filled by accounting for the behaviour of the compiler. This task is…

Logic in Computer Science · Computer Science 2020-10-23 Robert Sison , Toby Murray

The Chain-of-Thought (CoT) paradigm, while enhancing the interpretability of Large Language Models (LLMs), is constrained by the inefficiencies and expressive limits of natural language. Latent Chain-of-Thought (latent CoT) reasoning, which…

Computation and Language · Computer Science 2026-05-12 Xiaocheng Luo , Kang Wang , Zaifu Zhan , Yuechi Zhou , Xiangyu Duan

We present a logical system CFP (Concurrent Fixed Point Logic) supporting the extraction of nondeterministic and concurrent programs that are provably total and correct. CFP is an intuitionistic first-order logic with inductive and…

Logic in Computer Science · Computer Science 2026-04-22 Ulrich Berger , Hideki Tsuiki

The Principle of Insufficient Reason (PIR) assigns equal probabilities to each alternative of a random experiment whenever there is no reason to prefer one over the other. The Maximum Entropy Principle (MaxEnt) generalizes PIR to the case…

Machine Learning · Statistics 2021-11-25 Dominik Janzing

Recent Large Reasoning Models (LRMs) achieve strong performance by leveraging long-form Chain-of-Thought (CoT) reasoning, but uniformly applying overlong reasoning at inference time incurs substantial and often unnecessary computational…

Machine Learning · Computer Science 2026-04-17 Kun Liang , Clive Bai , Xin Xu , Chenming Tang , Sanwoo Lee , Weijie Liu , Saiyong Yang , Yunfang Wu

Large language models (LLMs) have demonstrated remarkable capabilities in tasks requiring reasoning and multi-step problem-solving through the use of chain-of-thought (CoT) prompting. However, generating the full CoT process results in…

Computation and Language · Computer Science 2024-09-16 Tianqiao Liu , Zui Chen , Zitao Liu , Mi Tian , Weiqi Luo

Recent advancements in long-context modeling have enhanced language models (LMs) for complex tasks across multiple NLP applications. Despite this progress, we find that these models struggle with multi-hop reasoning and exhibit decreased…

Computation and Language · Computer Science 2024-08-07 Yanyang Li , Shuo Liang , Michael R. Lyu , Liwei Wang

Modern reasoning models, such as OpenAI's o1 and DeepSeek-R1, exhibit impressive problem-solving capabilities but suffer from critical inefficiencies: high inference latency, excessive computational resource consumption, and a tendency…

Computation and Language · Computer Science 2025-08-05 Hang Yuan , Bin Yu , Haotian Li , Shijun Yang , Christina Dan Wang , Zhou Yu , Xueyin Xu , Weizhen Qi , Kai Chen

Chain-of-Thought (CoT) prompting has achieved remarkable success in unlocking the reasoning capabilities of Large Language Models (LLMs). Although CoT prompting enhances reasoning, its verbosity imposes substantial computational overhead.…

Computation and Language · Computer Science 2026-04-21 Yifan Wang , Shiyu Li , Peiming Li , Xiaochen Yang , Yang Tang , Zheng Wei

PRISM is an extension of Prolog with probabilistic predicates and built-in support for expectation-maximization learning. Constraint Handling Rules (CHR) is a high-level programming language based on multi-headed multiset rewrite rules. In…

Programming Languages · Computer Science 2010-07-23 Jon Sneyers , Wannes Meert , Joost Vennekens , Yoshitaka Kameya , Taisuke Sato

Large language models (LLMs) have demonstrated remarkable reasoning capabilities through test-time scaling approaches, particularly when fine-tuned with chain-of-thought (CoT) data distilled from more powerful large reasoning models (LRMs).…

Computation and Language · Computer Science 2025-10-22 Yang Xiao , Jiashuo Wang , Ruifeng Yuan , Chunpu Xu , Kaishuai Xu , Wenjie Li , Pengfei Liu

Large language models (LLMs) can achieve strong reasoning performance with sufficient computation, but they do not inherently know how much computation a task requires. We study budgeted inference-time reasoning for multiple tasks under a…

Artificial Intelligence · Computer Science 2026-01-08 Muyang Zhao , Qi Qi , Hao Sun

We present a lightweight approach to Hoare-style specifications for fine-grained concurrency, based on a notion of time-stamped histories that abstractly capture atomic changes in the program state. Our key observation is that histories…

Logic in Computer Science · Computer Science 2014-10-02 Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee

LLMs have advanced text classification, yet existing paradigms face a trade-off: supervised (label only) fine-tuning is scalable but offers limited reasoning on complex text and lacks broader model transparency, while discrete prompt…

Computation and Language · Computer Science 2026-05-29 Tianyang Zhou , Wenbo Chen , Pierre Jinghong Liang , Leman Akoglu

Recent advancements in large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, single-shot inference often yields unreliable results for complex reasoning tasks, leading researchers to explore multiple…

Machine Learning · Computer Science 2025-02-14 Zhi Zhou , Tan Yuhao , Zenan Li , Yuan Yao , Lan-Zhe Guo , Xiaoxing Ma , Yu-Feng Li

Chain-of-Thought reasoning has significantly enhanced the problem-solving capabilities of Large Language Models. Unfortunately, current models generate reasoning steps sequentially without foresight, often becoming trapped in suboptimal…

Computation and Language · Computer Science 2026-04-16 Guoming Ling , Zhongzhan Huang , Yupei Lin , Junxin Li , Shanshan Zhong , Hefeng Wu , Liang Lin