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We prove Bitcoin is secure under temporary dishonest majority. We assume the adversary can corrupt a specific fraction of parties and also introduce crash failures, i.e., some honest participants are offline during the execution of the…

Cryptography and Security · Computer Science 2019-08-02 Georgia Avarikioti , Lukas Kaeppeli , Yuyi Wang , Roger Wattenhofer

In the field of distributed consensus and blockchains, the synchronous communication model assumes that all messages between honest parties are delayed at most by a known constant $\Delta$. Recent literature establishes that the…

Cryptography and Security · Computer Science 2021-02-02 Suryanarayana Sankagiri , Shreyas Gandlur , Bruce Hajek

Proof of work blockchain protocols using multiple hash types are considered. It is proven that the security region of such a protocol cannot be the AND of a 51\% attack on all the hash types. Nevertheless, a protocol called Merged Bitcoin…

Cryptography and Security · Computer Science 2026-01-15 Christopher Blake , Chen Feng , Xuachao Wang , Qianyu Yu

Bitcoin provides freshness properties by forming a blockchain where each block is associated with its timestamp and the previous block. Due to these properties, the Bitcoin protocol is being used as a decentralized, trusted, and secure…

Cryptography and Security · Computer Science 2018-05-21 Pawel Szalachowski

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

Simple closed-form upper and lower bounds are developed for the security of the Nakamoto consensus as a function of the confirmation depth, the honest and adversarial block mining rates, and an upper bound on the block propagation delay.…

Cryptography and Security · Computer Science 2022-08-30 Dongning Guo , Ling Ren

We analyze how secure a block is after the block becomes $k$-deep, i.e., security-latency, for Nakamoto consensus under an exponential network delay model. We provide the fault tolerance and extensive bounds on safety violation…

Cryptography and Security · Computer Science 2025-10-22 Mustafa Doger , Sennur Ulukus

Authorization is challenging in distributed systems that cannot rely on the identification of nodes. Proof-of-work offers an alternative gate-keeping mechanism, but its probabilistic nature is incompatible with conventional security…

Cryptography and Security · Computer Science 2022-09-20 Patrik Keller , Rainer Böhme

Improving transaction throughput is an important challenge for Bitcoin. However, shortening the block generation interval or increasing the block size to improve throughput makes it sharing blocks within the network slower and increases the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Ryunosuke Nagayama , Kazuyuki Shudo , Ryohei Banno

Bitcoin derives a verifiable temporal order from probabilistic block discovery and cumulative proof-of-work rather than from a trusted global clock. We show that block arrivals exhibit stable exponential behavior across difficulty epochs,…

Information Theory · Computer Science 2026-02-11 Bin Chen , Pan Feng

Bitcoin is the most secure blockchain in the world, supported by the immense hash power of its Proof-of-Work miners. Proof-of-Stake chains are energy-efficient, have fast finality but face several security issues: susceptibility to…

Cryptography and Security · Computer Science 2025-02-04 Ertem Nusret Tas , David Tse , Fangyu Gai , Sreeram Kannan , Mohammad Ali Maddah-Ali , Fisher Yu

We revisit the fundamental question of Bitcoin's security against double spending attacks. While previous work has bounded the probability that a transaction is reversed, we show that no such guarantee can be effectively given if the…

Cryptography and Security · Computer Science 2016-06-01 Yonatan Sompolinsky , Aviv Zohar

Proof-of-work allows Bitcoin to boast security amidst arbitrary fluctuations in participation of miners throughout time, so long as, at any point in time, a majority of hash power is honest. In recent years, however, the pendulum has…

Cryptography and Security · Computer Science 2025-08-12 Yuval Efron , Joachim Neu , Toniann Pitassi

We provide a game-theoretic analysis of the problem of front-running attacks. We use it to distinguish attacks from legitimate competition among honest users for having their transactions included earlier in the block. We also use it to…

Theoretical Economics · Economics 2024-01-11 Andrea Canidio , Vincent Danos

Bitcoin is a popular cryptocurrency that records alltransactions in a distributed append-only public ledger calledblockchain. The security of Bitcoin heavily relies on the incentive-compatible proof-of-work (PoW) based distributed consensus…

Cryptography and Security · Computer Science 2018-06-05 Mauro Conti , Sandeep Kumar E , Chhagan Lal , Sushmita Ruj

We study security-latency bounds for Nakamoto consensus, i.e., how secure a block is after it becomes $k$-deep in the chain. We improve the state-of-the-art bounds by analyzing the race between adversarial and honest chains in three…

Cryptography and Security · Computer Science 2024-07-25 Mustafa Doger , Sennur Ulukus

Stubborn mining attack greatly downgrades Bitcoin throughput and also benefits malicious miners (attackers). This paper aims to quantify the impact of block receiving delay on stubborn mining attack severity in imperfect Bitcoin networks.…

Cryptography and Security · Computer Science 2023-09-14 Haoran Zhu , Xiaolin Chang , Jelena Mišić , Vojislav B. Mišić

We study financial transaction confirmation finality in Bitcoin as a function of transaction amount and user risk tolerance. A transaction is recorded in a block on a blockchain. However, a transaction may be revoked due to a fork in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 Ethan Hicks , Joseph Oglio , Mikhail Nesterenko , Gokarna Sharma

Most online lotteries today fail to ensure the verifiability of the random process and rely on a trusted third party. This issue has received little attention since the emergence of distributed protocols like Bitcoin that demonstrated the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-18 Stéphane Grumbach , Robert Riemann

The Bitcoin cryptocurrency records its transactions in a public log called the blockchain. Its security rests critically on the distributed protocol that maintains the blockchain, run by participants called miners. Conventional wisdom…

Cryptography and Security · Computer Science 2013-11-18 Ittay Eyal , Emin Gun Sirer
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