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In the past decade, blockchain has shown a promising vision greatly to build the trust without any powerful third party in a secure, decentralized and salable manner. However, due to the wide application and future development from…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-11 Bin Cao , Zixin Wang , Long Zhang , Daquan Feng , Mugen Peng , Lei Zhang

The development of quantum information platforms such as quantum computers and quantum simulators that will rival classical Turing computations are typically viewed as a threat to secure data transmissions and therefore to crypto-systems…

Quantum Physics · Physics 2018-03-01 Kirill P. Kalinin , Natalia G. Berloff

Formal verification entails testing software to ensure it operates as specified. Smart contracts are self-executing contracts with the terms of the agreement directly written into lines of code. They run on blockchain platforms and…

Software Engineering · Computer Science 2025-10-22 Rene Davila , Everardo Barcenas , Rocio Aldeco-Perez

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad

We propose a formal approach for specifying and implementing decentralised coordination in distributed systems, with a focus on smart contracts. Our model captures dynamic roles, data-driven transitions, and external coordination…

Programming Languages · Computer Science 2026-04-23 Elvis Konjoh Selabi , Maurizio Murgia , António Ravara , Emilio Tuosto

Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning. Fully formal proofs, in languages like Lean, are easy to verify because they are unambiguous and modular. Most…

Logic in Computer Science · Computer Science 2026-05-21 Slim Barkallah , Luke Bailey , Kaiyue Wen , Mohammed Abouzaid , Tengyu Ma

Cryptocurrency forensics became standard tools for law enforcement. Their basic idea is to deanonymise cryptocurrency transactions to identify the people behind them. Cryptocurrency deanonymisation techniques are often based on premises…

Artificial Intelligence · Computer Science 2023-05-29 Dominic Deuber , Jan Gruber , Merlin Humml , Viktoria Ronge , Nicole Scheler

It is undeniable that artificial intelligence (AI) and blockchain concepts are spreading at a phenomenal rate. Both technologies have distinct degree of technological complexity and multi-dimensional business implications. However, a common…

Artificial Intelligence · Computer Science 2018-10-24 Tshilidzi Marwala , Bo Xing

AI for Mathematics (AI4Math) is not only intriguing intellectually but also crucial for AI-driven discovery in science, engineering, and beyond. Extensive efforts on AI4Math have mirrored techniques in NLP, in particular, training large…

Artificial Intelligence · Computer Science 2024-12-23 Kaiyu Yang , Gabriel Poesia , Jingxuan He , Wenda Li , Kristin Lauter , Swarat Chaudhuri , Dawn Song

We propose the formal study of governed blockchains that are owned and controlled by organizations and that neither create cryptocurrencies nor provide any incentives to solvers of cryptographic puzzles. We view such approaches as…

Cryptography and Security · Computer Science 2017-05-17 Leif-Nissen Lundbaek , Andrea Callia D'Iddio , Michael Huth

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

Formal mathematics is mathematics done within the framework of a formal logic. It offers major benefits to mathematicians as well as to computing professionals, engineers, and scientists who use mathematics in their work. The standard…

Logic · Mathematics 2026-03-24 William M. Farmer

Machine learning abilities have become a vital component for various solutions across industries, applications, and sectors. Many organizations seek to leverage AI-based solutions across their business services to unlock better efficiency…

Machine Learning · Computer Science 2022-06-13 Riadh Ben Chaabene , Darine Amayed , Mohamed Cheriet

Machine learning has recently enabled large advances in artificial intelligence, but these tend to be highly centralized. The large datasets required are generally proprietary; predictions are often sold on a per-query basis; and published…

Cryptography and Security · Computer Science 2019-07-18 Justin D. Harris , Bo Waggoner

Smart contracts are widely utilized in cross-chain interactions, where their results are transmitted from one blockchain (the producer blockchain) to another (the consumer blockchain). Unfortunately, the consumer blockchain often accepts…

Cryptography and Security · Computer Science 2024-08-20 Hong Su

Traditional paper-based document management has long posed challenges related to security, authenticity, and efficiency. Despite advances in digitalization, official documents remain vulnerable to forgery, loss, and unauthorized access.…

Cryptography and Security · Computer Science 2026-01-21 Cosmin-Iulian Irimia

As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of…

Financial fraud cases are on the rise even with the current technological advancements. Due to the lack of inter-organization synergy and because of privacy concerns, authentic financial transaction data is rarely available. On the other…

Modern mathematics is built on the idea that proofs should be translatable into formal proofs, whose validity is an objective question, decidable by a computer. Yet, in practice, proofs are informal and may omit many details. An agent…

Computer Science and Game Theory · Computer Science 2021-10-14 Sylvain Carré , Franck Gabriel , Clément Hongler , Gustavo Lacerda , Gloria Capano

Education in the practical applications of logic and proving such as the formal specification and verification of computer programs is substantially hampered by the fact that most time and effort that is invested in proving is actually…

Logic in Computer Science · Computer Science 2018-03-06 Wolfgang Schreiner , Alexander Brunhuemer , Christoph Fürst