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We consider blockchain in dynamic networks. We define the Blockchain Decision Problem. It requires miners that maintain the blockchain to confirm whether a particular block is accepted. We establish the necessary conditions for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-09 Rachel Bricker , Mikhail Nesterenko , Gokarna Sharma

Bitcoin is an immutable permissionless blockchain system that has been extensively used as a public bulletin board by many different applications that heavily relies on its immutability. However, Bitcoin's immutability is not without its…

Cryptography and Security · Computer Science 2019-10-10 Dominic Deuber , Bernardo Magri , Sri Aravinda Krishnan Thyagarajan

This work proposes a novel proof-of-work blockchain incentive scheme such that, barring exogenous motivations, following the protocol is guaranteed to be the optimal strategy for miners. Our blockchain takes the form of a directed acyclic…

Cryptography and Security · Computer Science 2022-06-22 Jakub Sliwinski , Roger Wattenhofer

Client diversity is a cornerstone of blockchain resilience, yet most networks suffer from a dangerously skewed distribution of client implementations. This monoculture exposes the network to very risky scenarios, such as massive financial…

Software Engineering · Computer Science 2025-10-27 Javier Ron , Zheyuan He , Martin Monperrus

Blockchains combine a distributed append-only log with a virtual machine that defines how log entries are interpreted. By viewing transactions as state transformation functions for the virtual machine, we separate the naming of a state from…

Cryptography and Security · Computer Science 2022-01-21 Bennet Yee , Dawn Song , Patrick McCorry , Chris Buckland

For applications of Byzantine fault tolerant (BFT) consensus protocols where the participants are economic agents, recent works highlighted the importance of accountability: the ability to identify participants who provably violate the…

Cryptography and Security · Computer Science 2022-05-19 Joachim Neu , Ertem Nusret Tas , David Tse

Bitcoin is the most successful cryptocurrency so far. This is mainly due to its novel consensus algorithm, which is based on proof-of-work combined with a cryptographically-protected data structure and a rewarding scheme that incentivizes…

Cryptography and Security · Computer Science 2019-05-24 Pawel Szalachowski , Daniel Reijsbergen , Ivan Homoliak , Siwei Sun

A blockchain, such as Bitcoin, is an append-only, secure, transparent, distributed ledger. A fair blockchain is expected to have healthy metrics; high honest mining power, low processing latency, i.e., low wait times for transactions and…

Cryptography and Security · Computer Science 2020-03-03 Shoeb Siddiqui , Ganesh Vanahalli , Sujit Gujar

Most popular blockchain solutions, like Bitcoin, rely on proof-of-work, guaranteeing that the output of the consensus is agreed upon with high probability. However, this probability depends on the delivery of messages and that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-19 Christopher Natoli , Vincent Gramoli

Gasper, the consensus protocol currently employed by Ethereum, typically requires 64 to 95 slots -- the units of time during which a new chain extending the previous one by one block is proposed and voted -- to finalize. This means that…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-04 Francesco D'Amato , Roberto Saltini , Thanh-Hai Tran , Luca Zanolini

Blockchain consensus protocols enable participants to agree on consistent views of the blockchain that may be ahead or behind relative to each other but do not fork into different chains. A number of recently popular…

Logic in Computer Science · Computer Science 2025-04-24 Alessandro Coglio , Eric McCarthy

Blockchain systems run consensus rules as code to agree on the state of the distributed ledger and secure the network. Changing these rules can be risky and challenging. In addition, it can often be controversial and take much effort to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-15 Jakob Svennevik Notland , Mariusz Nowostawski , Jingyue Li

Decentralized blockchain platforms have enabled the secure exchange of crypto-assets without the intermediation of trusted authorities. To this purpose, these platforms rely on a peer-to-peer network of byzantine nodes, which…

Cryptography and Security · Computer Science 2023-06-22 Massimo Bartoletti , Letterio Galletta , Maurizio Murgia

This thesis introduces a formal general framework for scaling blockchain protocols by sharding. The framework is modular and it can be adjusted for different needs or sets of assumptions. We prove that sharded protocols obtained by…

Cryptography and Security · Computer Science 2019-09-04 Zuphit Fidelman

Modern blockchains guarantee that submitted transactions will be included eventually; a property formally known as liveness. But financial activity requires transactions to be included in a timely manner. Unfortunately, classical liveness…

Theoretical Economics · Economics 2023-06-27 Elijah Fox , Mallesh Pai , Max Resnick

To implement a blockchain, the trend is now to integrate a non-trivial Byzantine fault tolerant consensus algorithm instead of the seminal idea of waiting to receive blocks to decide upon the longest branch. After a decade of existence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Pierre Tholoniat , Vincent Gramoli

The Blockchain and the programs running on it, called Smart Contracts, are more and more applied in all fields requiring trust and strong certifications. In this work we compare public and permissioned blockchains for industrial…

Cryptography and Security · Computer Science 2020-05-07 Lodovica Marchesi , Michele Marchesi , Roberto Tonelli

Bitcoin uses blockchain technology to maintain transactions order and provides probabilistic guarantee to prevent double-spending, assuming that an attacker's computational power does not exceed %50 of the network power. In this paper, we…

Cryptography and Security · Computer Science 2024-11-19 Ghader Ebrahimpour , Mohammad Sayad Haghighi

Blockchain is a decentralized transaction and data management solution, the technological weapon-of-choice behind the success of Bitcoin and other cryptocurrencies. As the number and variety of existing blockchain implementations continues…

Cryptography and Security · Computer Science 2018-12-24 Martin Garriga , Maximiliano Arias , Alan De Renzis

There is growing interest in providing programmatic access to the value locked in Bitcoin, which famously offers limited programmability itself. Various approaches have been put forth in recent years, with the vast majority of proposed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-30 Ryan Croote , Islam El-Ashi , Thomas Locher , Yvonne-Anne Pignolet