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Proofgold is a blockchain that supports formalized mathematics alongside standard cryptocurrency functionality. It incorporates logical constructs into the blockchain, including declarations of formal theories, definitions, propositions and…

Logic in Computer Science · Computer Science 2025-09-11 Chad E. Brown , Cezary Kaliszyk , Josef Urban

To create usable and deployable Artificial Intelligence (AI) systems, there requires a level of assurance in performance under many different conditions. Many times, deployed machine learning systems will require more classic logic and…

Artificial Intelligence · Computer Science 2025-02-14 Luke E. Richards , Jessie Yaros , Jasen Babcock , Coung Ly , Robin Cosbey , Timothy Doster , Cynthia Matuszek

Cryptography is the science of using mathematics to encrypt and decrypt data. Cryptography enables you to store sensitive information or transmit it across insecure networks so that it cannot be read by anyone except the intended recipient.…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

The goal of this paper is to deliver the overview of the current state of the art, to provide experience report on developing quantum software tools, and to outline the perspective for developing quantum programming tools supporting…

Quantum Physics · Physics 2023-09-14 Jarosław Adam Miszczak

There is currently an increasing demand for cryptoasset analysis tools among cryptoasset service providers, the financial industry in general, as well as across academic fields. At the moment, one can choose between commercial services or…

Cryptography and Security · Computer Science 2021-03-01 Bernhard Haslhofer , Rainer Stütz , Matteo Romiti , Ross King

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

The rapid advancement of quantum computing poses a significant threat to modern cryptographic systems, necessitating the transition to Post-Quantum Cryptography (PQC). This study evaluates the support for PQC algorithms within nine widely…

Cryptography and Security · Computer Science 2025-08-25 Nadeem Ahmed , Lei Zhang , Aryya Gangopadhyay

The fields of machine learning (ML) and cryptanalysis share an interestingly common objective of creating a function, based on a given set of inputs and outputs. However, the approaches and methods in doing so vary vastly between the two…

Cryptography and Security · Computer Science 2025-01-28 Benjamin D. Kim , Vipindev Adat Vasudevan , Rafael G. L. D'Oliveira , Alejandro Cohen , Thomas Stahlbuhk , Muriel Médard

Cryptocurrency wallets have become the primary gateway to decentralized applications, yet users often face significant difficulty in discerning what a wallet signature actually does or entails. Prior work has mainly focused on mitigating…

Human-Computer Interaction · Computer Science 2026-01-26 Yuyang Qin , Haihan Duan

We establish an algorithm to encrypt and decrypt messages, where messages can be seen as elements of a finite field, using of mutations in a cluster algebra finite type.

Rings and Algebras · Mathematics 2026-05-12 Martin Ortiz Morales , Leticia Pena Tellez

Verification of microkernels, device drivers, and crypto routines requires analyses at the binary level. In order to automate these analyses, in the last years several binary analysis platforms have been introduced. These platforms share a…

Programming Languages · Computer Science 2019-01-23 Andreas Lindner , Roberto Guanciale , Roberto Metere

This paper presents a symbolic algorithm for solving band matrix systems of linear algebraic equations with heptadiagonal coefficient matrices. The algorithm is given in pseudocode. A theorem which gives the condition for the algorithm to…

Numerical Analysis · Mathematics 2019-03-08 Milena Veneva , Alexander Ayriyan

The rapid advancement of quantum computing poses a significant threat to many current security algorithms used for secure communication, digital authentication, and information encryption. A sufficiently powerful quantum computer could…

Cryptography and Security · Computer Science 2024-07-19 Basel Halak , Cristian Sebastian Csete , Edward Joyce , Jack Papaioannou , Alexandre Pires , Jin Soma , Betul Gokkaya , Michael Murphy

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

Blockchain is a decentralized, distributed ledger technology that ensures transparency, security, and immutability through cryptographic techniques. However, advancements in quantum computing threaten the security of classical cryptographic…

Cryptography and Security · Computer Science 2026-01-14 Nicholas J. C. Papadopoulos

To protect cryptographic implementations from side-channel vulnerabilities, developers must adopt constant-time programming practices. As these can be error-prone, many side-channel detection tools have been proposed. Despite this, such…

Cryptography and Security · Computer Science 2023-10-13 Antoine Geimer , Mathéo Vergnolle , Frédéric Recoules , Lesly-Ann Daniel , Sébastien Bardin , Clémentine Maurice

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

The increasing development speed via Agile may introduce overlooked security steps in the process, with an example being the Iowa Caucus application. Verifying the protection of confidential information such as social security numbers…

Cryptography and Security · Computer Science 2022-01-20 Miles Frantz

We introduce Cryptis, an extension of the Iris separation logic that can be used to verify cryptographic components using the symbolic model of cryptography. The combination of separation logic and cryptographic reasoning allows us to prove…

Cryptography and Security · Computer Science 2025-07-15 Arthur Azevedo de Amorim , Amal Ahmed , Marco Gaboardi