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Many works make the eye-catching claim that Transformers are Turing-complete. However, the literature often conflates two distinct settings: (i) a fixed Transformer system setting, in which a fixed autoregressive Transformer is coupled with…

Artificial Intelligence · Computer Science 2026-05-28 Guanyu Cui , Zhewei Wei , Kun He

This article describes the application of a credible autocoding framework for control systems towards a nonlinear car controller example. The framework generates code, along with guarantees of high level functional properties about the code…

Systems and Control · Computer Science 2013-08-28 Timothy Wang , Eric Feron

Automatic parallelization remains a challenging problem in software engineering, particularly in identifying code regions where loops can be safely executed in parallel on modern multi-core architectures. Traditional static analysis…

Software Engineering · Computer Science 2026-04-01 Izavan dos S. Correia , Henrique C. T. Santos , Tiago A. E. Ferreira

During the development and verification of complex airborne systems, a variety of languages and development environments are used for different levels of the system hierarchy. As a result, there may be manual steps to translate requirements…

Software Engineering · Computer Science 2016-04-26 Jing Liu , John D. Backes , Darren Cofer , Andrew Gacek

We consider the problem of certifying the robustness of deep neural networks against real-world distribution shifts. To do so, we bridge the gap between hand-crafted specifications and realistic deployment settings by proposing a novel…

The last decade has sparked several valiant efforts in deductive verification of distributed agreement protocols such as consensus and leader election. Oddly, there have been far fewer verification efforts that go beyond the core protocols…

Programming Languages · Computer Science 2021-09-14 Nouraldin Jaber , Christopher Wagner , Swen Jacobs , Milind Kulkarni , Roopsha Samanta

Transformer based models have shown remarkable capabilities in sequence learning across a wide range of tasks, often performing well on specific task by leveraging input-output examples. Despite their empirical success, a comprehensive…

Machine Learning · Computer Science 2025-06-03 Yifan Hao , Chenlu Ye , Chi Han , Tong Zhang

As transformers have gained prominence in natural language processing, some researchers have investigated theoretically what problems they can and cannot solve, by treating problems as formal languages. Exploring such questions can help…

Machine Learning · Computer Science 2024-09-05 Lena Strobl , William Merrill , Gail Weiss , David Chiang , Dana Angluin

We study Transformers through the perspective of optimal control theory, using tools from continuous-time formulations to derive actionable insights into training and architecture design. This framework improves the performance of existing…

Machine Learning · Computer Science 2025-10-27 Kelvin Kan , Xingjian Li , Benjamin J. Zhang , Tuhin Sahai , Stanley Osher , Markos A. Katsoulakis

Formal verification of complex algorithms is challenging. Verifying their implementations goes beyond the state of the art of current automatic verification tools and usually involves intricate mathematical theorems. Certifying algorithms…

Logic in Computer Science · Computer Science 2013-02-01 Eyad Alkassar , Sascha Böhme , Kurt Mehlhorn , Christine Rizkallah

Smart contracts are programs that execute inside blockchains such as Ethereum to manipulate digital assets. Since bugs in smart contracts may lead to substantial financial losses, there is considerable interest in formally proving their…

Programming Languages · Computer Science 2021-09-10 Christian Bräm , Marco Eilers , Peter Müller , Robin Sierra , Alexander J. Summers

Deep learning operators are fundamental components of modern deep learning frameworks. With the growing demand for customized operators, it has become increasingly common for developers to create their own. However, designing and…

Machine Learning · Computer Science 2024-12-31 Qi Zhan , Xing Hu , Xin Xia , Shanping Li

The problem of localizing a set of nodes from relative pairwise measurements is at the core of many applications such as Structure from Motion (SfM), sensor networks, and Simultaneous Localization And Mapping (SLAM). In practical…

Computation · Statistics 2019-10-15 Mahroo Bahreinian , Roberto Tron

Property Directed Reachability (PDR) is a powerful algorithm for formal verification of hardware and software systems, but its performance is highly sensitive to parameter configurations. Manual parameter tuning is time-consuming and…

Hardware Architecture · Computer Science 2026-04-01 Guangyu Hu , Chen Chen , Xiaofeng Zhou , Jiaxi Zhang , Wei Zhang , Hongce Zhang

Transformer networks have revolutionized NLP representation learning since they were introduced. Though a great effort has been made to explain the representation in transformers, it is widely recognized that our understanding is not…

Computation and Language · Computer Science 2023-04-05 Zeyu Yun , Yubei Chen , Bruno A Olshausen , Yann LeCun

Circuit discovery and activation steering in transformers have developed as separate research threads, yet both operate on the same representational space. Are they two views of the same underlying structure? We show they follow a single…

Machine Learning · Computer Science 2026-02-11 Andres Saurez , Neha Sengar , Dongsoo Har

Circuit discovery aims to explain how language models (LMs) implement a specific task by localizing and interpreting a circuit, a computational subgraph responsible for the LM's behavior. Existing circuit discovery methods are…

Artificial Intelligence · Computer Science 2026-05-12 Daking Rai , Mor Geva , Ziyu Yao

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

The paper presents a methodology for temporal logic verification of continuous-time switched stochastic systems. Our goal is to find the lower bound on the probability that a complex temporal property is satisfied over a finite time…

Logic in Computer Science · Computer Science 2021-09-28 Mahathi Anand , Pushpak Jagtap , Majid Zamani

While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as…

Logic in Computer Science · Computer Science 2024-04-09 Niklas Kochdumper , Stanley Bak