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We present a framework for the formal meta-theory of lambda calculi in first-order syntax, with two sorts of names, one to represent both free and bound variables, and the other for constants, and by using Stoughton's multiple…

Logic in Computer Science · Computer Science 2023-03-24 Sebastián Urciuoli

Abstraction is a desirable capability for deep learning models, which means to induce abstract concepts from concrete instances and flexibly apply them beyond the learning context. At the same time, there is a lack of clear understanding…

Machine Learning · Computer Science 2023-02-24 Shengnan An , Zeqi Lin , Bei Chen , Qiang Fu , Nanning Zheng , Jian-Guang Lou

We prove that orthogonal constructor term rewrite systems and lambda-calculus with weak (i.e., no reduction is allowed under the scope of a lambda-abstraction) call-by-value reduction can simulate each other with a linear overhead. In…

Programming Languages · Computer Science 2012-08-03 Ugo Dal Lago , Simone Martini

Transformer architectures deliver state-of-the-art accuracy via dense full-attention, but their quadratic time and memory complexity with respect to sequence length limits practical deployment. Linear attention mechanisms offer linear or…

Machine Learning · Computer Science 2026-01-21 Xiaojie Xia , Huigang Zhang , Chaoliang Zhong , Jun Sun , Yusuke Oishi

Knowledge distillation offers a transformative pathway to developing powerful, yet efficient, small language models (SLMs) suitable for resource-constrained environments. In this paper, we benchmark the performance and computational cost of…

Computation and Language · Computer Science 2026-02-25 Sachin Gopal Wani , Eric Page , Ajay Dholakia , David Ellison

Decompilation is widely used in reverse engineering to recover high-level language code from binary executables. While recent approaches leveraging Large Language Models (LLMs) have shown promising progress, they typically treat assembly…

Software Engineering · Computer Science 2025-09-19 Yongpan Wang , Xin Xu , Xiaojie Zhu , Xiaodong Gu , Beijun Shen

Large language models (LLMs) exhibit strong capabilities as decision-making agents by interleaving reasoning and actions, as seen in ReAct-style frameworks. Yet, their practical deployment is constrained by high inference costs and large…

Machine Learning · Computer Science 2026-05-28 Jun Liu , Zhenglun Kong , Peiyan Dong , Changdi Yang , Tianqi Li , Hao Tang , Geng Yuan , Wei Niu , Wenbin Zhang , Pu Zhao , Xue Lin , Dong Huang , Yanzhi Wang

This paper describes a first step towards the definition of an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez

Large Language Models (LLMs) excel at understanding the semantic relationships between queries and documents, even with lengthy and complex long-tail queries. These queries are challenging for feedback-based rankings due to sparse user…

We consider numerical approximations of overdamped Langevin stochastic differential equations by implicit methods. We show a weak backward error analysis result in the sense that the generator associated with the numerical solution…

Numerical Analysis · Mathematics 2013-10-10 Marie Kopec

We propose an abstraction-based model checking method which relies on refinement of an under-approximation of the feasible behaviors of the system under analysis. The method preserves errors to safety properties, since all analyzed…

Computer Science and Game Theory · Computer Science 2017-01-11 Corina S. Pasareanu , Radek Pelanek , Willem Visser

Transformer-based architectures have become the de-facto standard models for diverse vision tasks owing to their superior performance. As the size of the models continues to scale up, model distillation becomes extremely important in…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Cheng Han , Qifan Wang , Sohail A. Dianat , Majid Rabbani , Raghuveer M. Rao , Yi Fang , Qiang Guan , Lifu Huang , Dongfang Liu

Abstract interpretation offers a powerful toolset for static analysis, tackling precision, complexity and state-explosion issues. In the literature, state partitioning abstractions based on (bi)simulation and property-preserving state…

Logic in Computer Science · Computer Science 2025-06-09 Paolo Baldan , Roberto Bruni , Francesco Ranzato , Diletta Rigo

Reasoning models represented by the Deepseek-R1-Distill series have been widely adopted by the open-source community due to their strong performance in mathematics, science, programming, and other domains. However, our study reveals that…

Artificial Intelligence · Computer Science 2025-06-16 Lin Sun , Weihong Lin , Jinzhu Wu , Yongfu Zhu , Xiaoqi Jian , Guangxiang Zhao , Change Jia , Linglin Zhang , Sai-er Hu , Yuhan Wu , Xiangzheng Zhang

We present abstract acceleration techniques for computing loop invariants for numerical programs with linear assignments and conditionals. Whereas abstract interpretation techniques typically over-approximate the set of reachable states…

Programming Languages · Computer Science 2014-01-07 Bertrand Jeannet , Peter Schrammel , Sriram Sankaranarayanan

Superdeduction is a method specially designed to ease the use of first-order theories in predicate logic. The theory is used to enrich the deduction system with new deduction rules in a systematic, correct and complete way. A proof-term…

Logic in Computer Science · Computer Science 2011-01-31 Clément Houtmann

Refinement transforms an abstract system model into a concrete, executable program, such that properties established for the abstract model carry over to the concrete implementation. Refinement has been used successfully in the development…

Logic in Computer Science · Computer Science 2021-10-27 Aurel Bílý , Christoph Matheja , Peter Müller

This note is about a reasonable abstract machine, called Maximal MAM, implementing the maximal strategy of the lambda-calculus, that is, the strategy that always produces a longest evaluation sequence.

Programming Languages · Computer Science 2017-11-29 Beniamino Accattoli

This paper presents LITE, an LLM-based evaluation method designed for efficient and flexible assessment of taxonomy quality. To address challenges in large-scale taxonomy evaluation, such as efficiency, fairness, and consistency, LITE…

Computation and Language · Computer Science 2025-04-03 Lin Zhang , Zhouhong Gu , Suhang Zheng , Tao Wang , Tianyu Li , Hongwei Feng , Yanghua Xiao

We prove that orthogonal constructor term rewrite systems and lambda-calculus with weak (i.e., no reduction is allowed under the scope of a lambda-abstraction) call-by-value reduction can simulate each other with a linear overhead. In…

Programming Languages · Computer Science 2019-03-14 Ugo Dal Lago , Simone Martini