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Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for LF in the style of recent formulations where only canonical…

Programming Languages · Computer Science 2015-07-01 William Lovas , Frank Pfenning

Refinement is a powerful mechanism for mastering the complexities that arise when formally modelling systems. Refinement also brings with it additional proof obligations -- requiring a developer to discover properties relating to their…

Logic in Computer Science · Computer Science 2011-06-22 Maria Teresa Llano , Andrew Ireland , Alison Pease

This paper reports on our experiences with verifying automotive C code by state-of-the-art open source software model checkers. The embedded C code is automatically generated from Simulink open-loop controller models. Its diverse features…

Logic in Computer Science · Computer Science 2020-03-27 Lukas Westhofen , Philipp Berger , Joost-Pieter Katoen

Formal verification of transformers has become increasingly important due to their widespread deployment in safety-critical applications. Compared to classic neural networks, the inferences of transformers involve highly complex…

Artificial Intelligence · Computer Science 2026-05-15 Hengjie Liu , Zhenya Zhang , Jianjun Zhao

We consider the problem of automatically verifying programs which manipulate arbitrary data structures. Our specification language is expressive, contains a notion of \emph{separation}, and thus enables a precise specification of…

Programming Languages · Computer Science 2017-11-16 Duc-Hiep Chu , Joxan Jaffar

SAFE is a clean-slate design for a highly secure computer system, with pervasive mechanisms for tracking and limiting information flows. At the lowest level, the SAFE hardware supports fine-grained programmable tags, with efficient and…

Refinement based formal methods allow the modelling of systems through incremental steps via abstraction. Discovering the right levels of abstraction, formulating correct and meaningful invariants, and analysing faulty models are some of…

Software Engineering · Computer Science 2016-03-03 Gudmund Grov , Andrew Ireland , Maria Teresa Llano , Peter Kovacs , Simon Colton , Jeremy Gow

Live sequence charts (LSCs) have been proposed as an inter-object scenario-based specification and visual programming language for reactive systems. In this paper, we introduce a logic-based framework to check the consistency of an LSC…

Logic in Computer Science · Computer Science 2010-02-17 Hai-Feng Guo , Wen Zheng , Mahadevan Subramaniam

Formally verified compilers and formally verified static analyzers are a solution to the problem that certain industries face when they have to demonstrate to authorities that the object code they run truly corresponds to its source code…

Logic in Computer Science · Computer Science 2024-07-12 David Monniaux

Formal verification of floating-point arithmetic remains challenging due to non-linear arithmetic behavior and the tight coupling between control and datapath logic. Existing approaches often rely on high-level C models for equivalence…

Logic in Computer Science · Computer Science 2026-03-05 Hansa Mohanty , Vaisakh Naduvodi Viswambharan , Deepak Narayan Gadde

The increasing complexity of modern configurable systems makes it critical to improve the level of automation in the process of system configuration. Such automation can also improve the agility of the development cycle, allowing for rapid…

Formal Languages and Automata Theory · Computer Science 2021-08-20 Nestan Tsiskaridze , Maxwell Strange , Makai Mann , Kavya Sreedhar , Qiaoyi Liu , Mark Horowitz , Clark Barrett

Vision-Language Models (VLMs) have shown promise in generating plotting code from chart images, yet achieving structural fidelity remains challenging. Existing approaches largely rely on supervised fine-tuning, encouraging surface-level…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Minggui He , Mingchen Dai , Jian Zhang , Yilun Liu , Shimin Tao , Pufan Zeng , Osamu Yoshie , Yuya Ieiri

Recommender systems are significant to help people deal with the world of information explosion and overload. In this Letter, we develop a general framework named self-consistent refinement and implement it be embedding two representative…

Data Analysis, Statistics and Probability · Physics 2008-06-10 Jie Ren , Tao Zhou , Yi-Cheng Zhang

The refinement calculus provides a methodology for transforming an abstract specification into a concrete implementation, by following a succession of refinement rules. These rules have been mechanized in theorem-provers, thus providing a…

Software Engineering · Computer Science 2011-12-02 Andreas Griesmayer , Zhiming Liu , Charles Morisset , Shuling Wang

A calculus is presented for the stepwise refinement of abstract information flow architectures. We give a mathematical model for information flow components based on relations between input and output communication histories, and describe…

Software Engineering · Computer Science 2016-11-15 Jan Philipps , Bernhard Rumpe

We present Refined TypeScript (RSC), a lightweight refinement type system for TypeScript, that enables static verification of higher-order, imperative programs. We develop a formal core of RSC that delineates the interaction between…

Programming Languages · Computer Science 2016-04-12 Panagiotis Vekris , Benjamin Cosman , Ranjit Jhala

Software and hardware architectures are prone to modifications. We demonstrate how a mathematically founded powerful refinement calculus for a class of architectures, namely pipe and filter architectures, can be used to modify a system in a…

Software Engineering · Computer Science 2014-11-11 Jan Philipps , Bernhard Rumpe

Controllers for autonomous robotic systems can be specified using state machines. However, these are typically developed in an ad hoc manner without formal semantics, which makes it difficult to analyse the controller. Simulations are often…

Robotics · Computer Science 2017-02-08 Wei Li , Alvaro Miyazawa , Pedro Ribeiro , Ana Cavalcanti , Jim Woodcock , Jon Timmis

Reinforcement learning has been successfully applied to the problem of tuning PID controllers in several applications. The existing methods often utilize function approximation, such as neural networks, to update the controller parameters…

Flow matching is a scalable generative framework for characterizing continuous normalizing flows with wide-range applications. However, current state-of-the-art methods are not well-suited for modeling dynamical systems, as they construct…

Machine Learning · Computer Science 2026-05-15 Santanu Subhash Rathod , Pietro Liò , Xiao Zhang
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