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We describe a method for building composable and extensible verification procedures within the Coq proof assistant. Unlike traditional methods that rely on run-time generation and checking of proofs, we use verified-correct procedures with…

Programming Languages · Computer Science 2013-05-29 Gregory Malecha , Adam Chlipala , Thomas Braibant , Patrick Hulin , Edward Z. Yang

Formalization of real analysis offers a chance to rebuild traditional proofs of important theorems as unambiguous theories that can be interactively explored. This paper provides a comprehensive overview of the Lebesgue Differentiation…

Logic in Computer Science · Computer Science 2024-07-02 Reynald Affeldt , Zachary Stone

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

In this work we tackle privacy concerns in biometric verification systems that typically require server-side processing of sensitive data (e.g., fingerprints and Iris Codes). Concretely, we design a solution that allows us to query whether…

Cryptography and Security · Computer Science 2024-10-18 Remco Bloemen , Bryan Gillespie , Daniel Kales , Philipp Sippl , Roman Walch

Linearizability has become the key correctness criterion for concurrent data structures, ensuring that histories of the concurrent object under consideration are consistent, where consistency is judged with respect to a sequential history…

Logic in Computer Science · Computer Science 2015-02-03 Brijesh Dongol , John Derrick

A new approach in iris recognition based on Circular Fuzzy Iris Segmentation (CFIS) and Gabor Analytic Iris Texture Binary Encoder (GAITBE) is proposed and tested here. CFIS procedure is designed to guarantee that similar iris segments will…

Computer Vision and Pattern Recognition · Computer Science 2011-07-15 Nicolaie Popescu-Bodorin

Real-life conjectures do not come with instructions saying whether they they should be proven or, instead, refuted. Yet, as we now know, in either case the final argument produced had better be not just convincing but actually verifiable in…

Computers and Society · Computer Science 2015-07-21 João Marcos

The uniform interpolation property in a given logic can be understood as the definability of propositional quantifiers. We mechanise the computation of these quantifiers and prove correctness in the Coq proof assistant for three modal…

Logic in Computer Science · Computer Science 2024-04-30 Hugo Férée , Iris van der Giessen , Sam van Gool , Ian Shillito

We present a methodology for formal verification of arithmetic RTL designs that combines sequential logic equivalence checking with interactive theorem proving. An intermediate model of a Verilog module is hand-coded in Restricted…

Logic in Computer Science · Computer Science 2020-09-30 David M. Russinoff

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery

The Instruction Set Architecture (ISA) is the contract between compilers and processors; proving this contract formally demands cross-level connection to existing mechanized compilers and hardware implementations. As an open, modular ISA…

Programming Languages · Computer Science 2026-05-07 Shuanglong Kan , Sebastian Ertel

There has recently been exciting progress in the realm of *probabilistic separation logics*. An important subclass of these -- including PSL, Lilac, Bluebell, and pcOL -- are *general-purpose probabilistic logics* (or GPLs, for short),…

Logic in Computer Science · Computer Science 2026-05-14 Janine Lohse , Tim Rohde , Jimmy Xin , Niklas Mück , Iona Kuhn , Derek Dreyer , Deepak Garg , Emanuele D'Osualdo

In recent years, great progress has been made in the field of formal verification for low-level systems. Many of them are based on one of two popular approaches: refinement or unary separation logic. These two approaches are very different…

Programming Languages · Computer Science 2025-07-14 Youngju Song , Minki Cho

Traditional Information Retrieval (IR) research has focussed on a single user interaction modality, where a user searches to satisfy an information need. Recent advances in web technologies and computer hardware have enabled multiple users…

Information Retrieval · Computer Science 2009-08-07 Colum Foley , Alan F. Smeaton

In order to help students learn how to write mathematical proofs, we adapt the Coq proof assistant into an educational tool we call Waterproof. Like with other interactive theorem provers, students write out their proofs inside the software…

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

Formally verifying system properties is one of the most effective ways of improving system quality, but its high manual effort requirements often render it prohibitively expensive. Tools that automate formal verification, by learning from…

Programming Languages · Computer Science 2023-08-10 Alex Sanchez-Stern , Emily First , Timothy Zhou , Zhanna Kaufman , Yuriy Brun , Talia Ringer

Iterative refinement (IR) is a popular scheme for solving a linear system of equations based on gradually improving the accuracy of an initial approximation. Originally developed to improve upon the accuracy of Gaussian elimination,…

Numerical Analysis · Mathematics 2025-06-24 Chai Wah Wu , Mark S. Squillante , Vasileios Kalantzis , Lior Horesh

In this work we present and formally analyze CHAT-SRP (CHAos based Tickets-Secure Registration Protocol), a protocol to provide interactive and collaborative platforms with a cryptographically robust solution to classical security issues.…

Cryptography and Security · Computer Science 2012-09-07 Jesus Diaz , David Arroyo , Francisco B. Rodriguez

Discrimination of unitary operations is a fundamental quantum information processing task. Assisted with linear optical elements, we experimentally demonstrate perfect discrimination between single-bit unitary operations using two…

Quantum Physics · Physics 2009-09-21 Pei Zhang , Liang Peng , Zhi-Wei Wang , Xi-Feng Ren , Bi-Heng Liu , Yun-Feng Huang , Guang-Can Guo