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Verification of modern microprocessors is a complex task that requires a substantial allocation of resources. Despite significant progress in formal verification, the goal of complete verification of an industrial design has not been…

Logic in Computer Science · Computer Science 2019-12-24 Shilpi Goel , Anna Slobodova , Rob Sumners , Sol Swords

Interactive theorem proving software is typically designed around a trusted proof-checking kernel, the sole system component capable of authenticating theorems. Untrusted automation procedures reside outside of the kernel, and drive it to…

Cryptography and Security · Computer Science 2022-05-09 Dominic P. Mulligan , Nick Spinale

Developers of low-level systems code providing core functionality for operating systems and kernels must address hardware-level features of modern multicore architectures. A particular feature is pipelined "out-of-order execution" of the…

Logic in Computer Science · Computer Science 2024-07-31 Robert J. Colvin , Ian J. Hayes , Scott Heiner , Peter Höfner , Larissa Meinicke , Roger C. Su

Formal verification via interactive theorem proving is increasingly used to ensure the correctness of critical systems, yet constructing large proof scripts remains highly manual and limits scalability. Advances in large language models…

Artificial Intelligence · Computer Science 2026-05-08 Baoding He , Zenan Li , Wei Sun , Yuan Yao , Taolue Chen , Xiaoxing Ma , Zhendong Su

Autonomous systems -- such as self-driving cars, autonomous drones, and automated trains -- must come with strong safety guarantees. Over the past decade, techniques based on formal methods have enjoyed some success in providing strong…

Software Engineering · Computer Science 2020-06-17 Nathan Fulton , Nathan Hunt , Nghia Hoang , Subhro Das

We formally introduce IsaVODEs (Isabelle verification with Ordinary Differential Equations), a framework for the verification of cyber-physical systems. We describe the semantic foundations of the framework's formalisation in the…

Many types of formal verification establish properties about abstract high-level program representations, leaving a large gap to programs at runtime. Although gaps can sometimes be narrowed by techniques such as refinement, a verified…

Logic in Computer Science · Computer Science 2025-03-19 Karl Palmskog , Andreas Lindner , Scott Constable , Roberto Guanciale , Hamed Nemati

Assurance cases are often required to certify critical systems. The use of formal methods in assurance can improve automation, increase confidence, and overcome errant reasoning. However, assurance cases can never be fully formalised, as…

Software Engineering · Computer Science 2021-06-11 Simon Foster , Yakoub Nemouchi , Mario Gleirscher , Ran Wei , Tim Kelly

To prove the functional correctness of a P4 program running in a programmable network switch or smart NIC, prior works have focused mainly on verifiers for the "control block" (match-action pipeline). But to verify that a switch handles…

Programming Languages · Computer Science 2024-12-31 Shengyi Wang , Mengying Pan , Andrew W. Appel

The large number of recent JEDEC DRAM standard releases and their increasing feature set makes it difficult for designers to rapidly upgrade the memory controller IPs to each new standard. Especially the hardware verification is challenging…

Formal Languages and Automata Theory · Computer Science 2022-10-03 Lukas Steiner , Chirag Sudarshan , Matthias Jung , Dominik Stoffel , Norbert Wehn

We present OSVAuto for automatic proofs about functional specifications that commonly arise when verifying operating system kernels. The algorithm behind OSVAuto is designed to support natively those data types that commonly occur in OS…

Symbolic Computation · Computer Science 2025-05-23 Yulun Wu , Bican Xia , Jiale Xu , Bohua Zhan , Tianqi Zhao

We present Isabellm, an LLM-powered theorem prover for Isabelle/HOL that performs fully automatic proof synthesis. Isabellm works with any local LLM on Ollama and APIs such as Gemini CLI, and it is designed to run on consumer grade…

Artificial Intelligence · Computer Science 2026-01-09 Zhe Hou

Model-Based Systems Engineering (MBSE) is a development approach aiming to build correct-by-construction systems, provided the use of clear, unambiguous and complete models to describe them along the design process. The approach is…

Software Engineering · Computer Science 2021-11-22 I Dragomir , M Bozga , Iulian Ober , D Silveira , T Jorge , E Alaña , M Perrotin

We report our experience formally modelling and verifying CXL.cache, the inter-device cache coherence protocol of the Compute Express Link standard. We have used the Isabelle proof assistant to create a formal model for CXL.cache based on…

Hardware Architecture · Computer Science 2025-03-20 Chengsong Tan , Alastair F. Donaldson , John Wickerson

This paper presents IsaBIL, a binary analysis framework in Isabelle/HOL that is based on the widely used Binary Analysis Platform (BAP). Specifically, in IsaBIL, we formalise BAP's intermediate language, called BIL and integrate it with…

Programming Languages · Computer Science 2025-04-24 Matt Griffin , Brijesh Dongol , Azalea Raad

This paper presents a formalisation of pGCL in Isabelle/HOL. Using a shallow embedding, we demonstrate close integration with existing automation support. We demonstrate the facility with which the model can be extended to incorporate…

Logic in Computer Science · Computer Science 2012-11-28 David Cock

OCaml is particularly well-fitted for formal verification. On one hand, it is a multi-paradigm language with a well-defined semantics, allowing one to write clean, concise, type-safe, and efficient code. On the other hand, it is a language…

Logic in Computer Science · Computer Science 2021-09-07 Mário Pereira , António Ravara

Mixed-criticality systems combine real-time components of different levels of criticality, i.e. severity of failure, on the same processor, in order to obtain good resource utilisation. They must guarantee deadlines of highly-critical tasks…

Operating Systems · Computer Science 2016-06-03 Anna Lyons , Gernot Heiser

We want to verify the correctness of optimization phases in the GraalVM compiler, which consist of many thousands of lines of complex Java code performing sophisticated graph transformations. We have built high-level models of the data…

Logic in Computer Science · Computer Science 2022-12-06 Mark Utting , Brae J. Webb , Ian J. Hayes

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