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We address the challenges of scaling verification efforts to match the increasing complexity and size of systems. We propose a research agenda aimed at building a performant proof engine by studying the asymptotic performance of proof…

Programming Languages · Computer Science 2024-08-16 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

This article describes the development and formal verification (proof of semantic preservation) of a compiler back-end from Cminor (a simple imperative intermediate language) to PowerPC assembly code, using the Coq proof assistant both for…

Logic in Computer Science · Computer Science 2009-11-14 Xavier Leroy

Common programming tools, like compilers, debuggers, and IDEs, crucially rely on the ability to analyse program code to reason about its behaviour and properties. There has been a great deal of work on verifying compilers and static…

Programming Languages · Computer Science 2019-07-15 Jan Stolarek , James Cheney

Proof assistants like Coq are increasingly popular to help mathematicians carry out proofs of the results they conjecture. However, formal proofs remain highly technical and are especially difficult to reuse. In this paper, we present a…

Logic in Computer Science · Computer Science 2024-01-23 Nicolas Magaud

Formal program verification is a longstanding goal in the field. We present the first quantitative comparison of the two primary compiler verification approaches, credible compilation/translation validation and full verification. Working…

Programming Languages · Computer Science 2026-05-12 Martin Rinard

This paper describes a formal proof library, developed using the Coq proof assistant, designed to assist users in writing correct diagrammatic proofs, for 1-categories. This library proposes a deep-embedded, domain-specific formal language,…

Logic in Computer Science · Computer Science 2024-03-01 Benoît Guillemet , Assia Mahboubi , Matthieu Piquerez

CompCert is the first realistic formally verified compiler: it provides a machine-checked mathematical proof that the code it generates matches the source code. Yet, there could be loopholes in this approach. We comprehensively analyze…

Logic in Computer Science · Computer Science 2022-10-11 David Monniaux , Sylvain Boulmé

A compiler consists of a sequence of phases going from lexical analysis to code generation. Ideally, the formal verification of a compiler should include the formal verification of each component of the tool-chain. An example is the…

Programming Languages · Computer Science 2023-06-22 Wendlasida Ouedraogo , Gabriel Scherer , Lutz Strassburger

We describe a new approach to automatically repairing broken proofs in the Coq proof assistant in response to changes in types. Our approach combines a configurable proof term transformation with a decompiler from proof terms to tactic…

Programming Languages · Computer Science 2021-05-13 Talia Ringer , RanDair Porter , Nathaniel Yazdani , John Leo , Dan Grossman

Large language models (LLMs) have demonstrated significant potential in formal theorem proving, yet state-of-the-art performance often necessitates prohibitive test-time compute via massive roll-outs or extended context windows. In this…

Machine Learning · Computer Science 2026-04-22 Guchan Li , Rui Tian , Hongning Wang

We present Pyrosome, a generic framework for modular language metatheory that embodies a novel approach to extensible semantics and compilation, implemented in Coq. Common techniques for semantic reasoning are often tied to the specific…

Programming Languages · Computer Science 2025-07-10 Dustin Jamner , Gabriel Kammer , Ritam Nag , Adam Chlipala

Verification proofs encode complete program behavior, yet we discard them after checking correctness. We present compiling by proving, a paradigm that transforms these proofs into optimized execution rules. By constructing All-Path…

Programming Languages · Computer Science 2025-09-29 Jianhong Zhao , Everett Hildenbrandt , Juan Conejero , Yongwang Zhao

We propose a new library to model and verify hardware circuits in the Coq proof assistant. This library allows one to easily build circuits by following the usual pen-and-paper diagrams. We define a deep-embedding: we use a (dependently…

Logic in Computer Science · Computer Science 2011-08-23 Thomas Braibant

Compilers are widely-used infrastructures in accelerating the software development, and expected to be trustworthy. In the literature, various testing technologies have been proposed to guarantee the quality of compilers. However, there…

Software Engineering · Computer Science 2018-11-01 Yixuan Tang , Zhilei Ren , Weiqiang Kong , He Jiang

Hardware-assisted reference monitoring is receiving increasing attention as a way to improve the security of existing software. One example is the PIPE architecture extension, which attaches metadata tags to register and memory values and…

Cryptography and Security · Computer Science 2020-12-21 CHR Chhak , Andrew Tolmach , Sean Anderson

In order to increase user confidence, many automated theorem provers provide certificates that can be independently verified. In this paper, we report on our progress in developing a standalone tool for checking the correctness of…

Logic in Computer Science · Computer Science 2012-12-12 Frédéric Blanqui , Kim Quyen Ly

Modern Just-in-Time compilers (or JITs) typically interleave several mechanisms to execute a program. For faster startup times and to observe the initial behavior of an execution, interpretation can be initially used. But after a while,…

Programming Languages · Computer Science 2022-12-07 Aurèle Barrière , Sandrine Blazy , David Pichardie

Most software domains rely on compilers to translate high-level code to multiple different machine languages, with performance not too much worse than what developers would have the patience to write directly in assembly language. However,…

Automatically generated code is gaining traction recently, owing to the prevalence of Large Language Models (LLMs). Further, the AlphaProof initiative has demonstrated the possibility of using AI for general mathematical reasoning.…

Software Engineering · Computer Science 2026-04-14 Haoxin Tu , Huan Zhao , Yahui Song , Mehtab Zafar , Ruijie Meng , Abhik Roychoudhury

Classes on compiler technology are commonly found in Computer Science curricula, covering aspects of parsing, semantic analysis, intermediate transformations and target code generation. This paper reports on introducing certified…

Programming Languages · Computer Science 2019-06-28 Per Lindgren , Marcus Lindner , Nils Fitinghoff
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