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How to apply automated verification technology such as model checking and static program analysis to millions of lines of embedded C/C++ code? How to package this technology in a way that it can be used by software developers and engineers,…

Software Engineering · Computer Science 2013-01-03 Ralf Huuck

CairoZero is a programming language for running decentralized applications (dApps) at scale. Programs written in the CairoZero language are compiled to machine code for the Cairo CPU architecture and cryptographic protocols are used to…

Cryptography and Security · Computer Science 2025-01-28 Jeremy Avigad , Lior Goldberg , David Levit , Yoav Seginer , Alon Titelman

We describe a general and safe computational framework that provides integer programming results with the degree of certainty that is required for machine-assisted proofs of mathematical theorems. At its core, the framework relies on a…

Combinatorics · Mathematics 2020-09-22 Leon Eifler , Ambros Gleixner , Jonad Pulaj

We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Constructions, which truly extends CIC by building in arbitrary first-order…

Logic in Computer Science · Computer Science 2008-12-18 Frédéric Blanqui , Jean-Pierre Jouannaud , Pierre-Yves Strub

Gradual verification, which supports explicitly partial specifications and verifies them with a combination of static and dynamic checks, makes verification more incremental and provides earlier feedback to developers. While an abstract,…

Programming Languages · Computer Science 2023-11-14 Conrad Zimmerman , Jenna DiVincenzo , Jonathan Aldrich

The C Bounded Model Checker (CBMC) demonstrates the violation of assertions in C programs, or proves safety of the assertions under a given bound. CBMC implements a bit-precise translation of an input C program, annotated with assertions…

Software Engineering · Computer Science 2023-02-07 Daniel Kroening , Peter Schrammel , Michael Tautschnig

While loops are present in virtually all imperative programming languages. They are important both for practical reasons (performing a number of iterations not known in advance) and theoretical reasons (achieving Turing completeness). In…

Programming Languages · Computer Science 2023-09-26 David Nowak , Vlad Rusu

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 report on using an agentic coding assistant (Claude Code, powered by Claude Opus 4.6) to mechanize a substantial Rocq correctness proof from scratch, with human guidance but without human proof writing. The proof establishes semantic…

Programming Languages · Computer Science 2026-02-24 Zoe Paraskevopoulou

This paper summarizes our experience in communicating the elements of reasoning about correctness, and the central role of formal specifications in reasoning about modular, component-based software using a language and an integrated Web IDE…

Software Engineering · Computer Science 2015-08-20 Nabil M. Kabbani , Daniel Welch , Caleb Priester , Stephen Schaub , Blair Durkee , Yu-Shan Sun , Murali Sitaraman

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-05-22 Alexei P. Lisitsa , Andrei P. Nemytykh

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

Our research is part of a wider project that aims to investigate and reason about the correctness of scheme-based source code transformations of Erlang programs. In order to formally reason about the definition of a programming language and…

Programming Languages · Computer Science 2020-08-19 Péter Bereczky , Dániel Horpácsi , Simon Thompson

This paper suggests a [email protected] of composable specification of concurrent programs that permits: (1) verification of program code for a given specification, and (2) composition of the specifications of the components to yield…

Programming Languages · Computer Science 2017-04-07 Jayadev Misra

It is common to prove by reasoning over source code that programs do not leak sensitive data. But doing so leaves a gap between reasoning and reality that can only be filled by accounting for the behaviour of the compiler. This task is…

Logic in Computer Science · Computer Science 2020-10-23 Robert Sison , Toby Murray

Proof assistants are software-based tools that are used in the mechanization of proof construction and validation in mathematics and computer science, and also in certified program development. Different tools are being increasingly used in…

Formal Languages and Automata Theory · Computer Science 2015-05-04 Marcus Vinícius Midena Ramos , Ruy J. G. B. de Queiroz

Interactive proof assistants make it possible for ordinary mathematicians to write definitions and theorems in a formal proof language, like a programming language, so that a computer can parse them and check them against the rules of a…

History and Overview · Mathematics 2024-11-20 Jeremy Avigad , Johan Commelin , Heather Macbeth , Adam Topaz

Quantum Error Correction (QEC) is essential for fault-tolerant quantum copmutation, and its implementation is a very sophisticated process involving both quantum and classical hardware. Formulating and verifying the decomposition of logical…

Quantum Physics · Physics 2021-11-30 Anbang Wu , Gushu Li , Hezi Zhang , Gian Giacomo Guerreschi , Yuan Xie , Yufei Ding

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

Automated program verifiers are typically implemented using an intermediate verification language (IVL), such as Boogie or Why3. A verifier front-end translates the input program and specification into an IVL program, while the back-end…

Programming Languages · Computer Science 2024-05-13 Gaurav Parthasarathy , Thibault Dardinier , Benjamin Bonneau , Peter Müller , Alexander J. Summers
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