Recently, much work has been carried out to study simplicial interpretations of modal logic. While notions of (distributed) knowledge have been well investigated in this context, it has been open how to model belief in simplicial models. We introduce polychromatic simplicial complexes, which naturally impose a plausibility relation on states. From this, we can define various notions of belief. We further explore how these complexes support a somebody-knows modality.

In distributed systems with asymmetric trust, each participant is free to make its own trust assumptions about others, captured by an asymmetric quorum system. This contrasts with ordinary, symmetric quorum systems and threshold models, where trust assumptions are uniformly shared among participants. Fundamental problems like reliable broadcast and consensus are unsolvable in the asymmetric model if quorum systems satisfy only the classical properties of consistency and availability. Existing approaches overcome this by introducing stronger assumptions. We show that some of these assumptions are overly restrictive, so much so that they effectively eliminate the benefits of asymmetric trust. To address this, we propose a new approach to characterize asymmetric problems and, building upon it, present algorithms for reliable broadcast and consensus that require weaker assumptions than previous solutions. Our methods are general and can be extended to other core problems in systems with asymmetric trust.

In protocols with asymmetric trust, each participant is free to make its own individual trust assumptions about others, captured by an asymmetric quorum system. This contrasts with ordinary, symmetric quorum systems and with threshold models, where all participants share the same trust assumption. It is already known how to realize reliable broadcasts, shared-memory emulations, and binary consensus with asymmetric quorums. In this work, we introduce Directed Acyclic Graph (DAG)-based consensus protocols with asymmetric trust. To achieve this, we extend the key building-blocks of the well-known DAG-Rider protocol to the asymmetric model. Counter to expectation, we find that replacing threshold quorums with their asymmetric counterparts in the existing constant-round gather protocol does not result in a sound asymmetric gather primitive. This implies that asymmetric DAG-based consensus protocols, specifically those based on the existence of common-core primitives, need new ideas in an asymmetric-trust model. Consequently, we introduce the first asymmetric protocol for computing a common core, equivalent to that in the threshold model. This leads to the first randomized asynchronous DAG-based consensus protocol with asymmetric quorums. It decides within an expected constant number of rounds after an input has been submitted, where the constant depends on the quorum system.

Anonymous cryptocurrencies attracted much attention over the past decade, yet ensuring both integrity and privacy in an open system remains challenging. Their transactions preserve privacy because they do not reveal on which earlier transaction they depend, specifically which outputs of previous transactions are spent. However, achieving privacy imposes a significant storage overhead due to two current limitations. First, the set of potentially unspent outputs of transactions grows indefinitely because the design hides cryptographically which one have been consumed; and, second, additional data must be stored for each spent output to ensure integrity, that is, to prevent that it can be spent again. We introduce a privacy-preserving payment scheme that mitigates these issues by randomly partitioning unspent outputs into fixed-size bins. Once a bin has been referenced in as many transactions as its size, it is pruned from the ledger. This approach reduces storage overhead while preserving privacy. We first highlight the scalability benefits of using smaller untraceability sets instead of considering the entire set of outputs, as done in several privacy-preserving cryptocurrencies. We then formalize the security and privacy notions required for a scalable, privacy-preserving payment system and analyze how randomized partitioning plays a key role in both untraceability and scalability. To instantiate our approach, we provide a construction based on Merkle trees, which ensures efficient argument systems and easy pruning of the state. We finally show the storage benefits of our scheme and analyze its resilience against large-scale flooding attacks using empirical transaction data.

Simplicial complexes are a successful model for distributed computing. They have recently been observed to provide an interesting model for epistemic multi-agent logic where the agents' local states are the main building blocks (instead of the global states). A natural generalization is to study epistemic logic on semi-simplicial sets. However, finding the appropriate modal logic for semi-simplicial models has been an open question. We answer this by introducing the logic of synergistic knowledge and establishing its soundness and completeness.

Decentralized finance revolutionizes traditional financial systems by leveraging blockchain technology to reduce trust. However, some vulnerabilities persist, notably front-running by malicious actors who exploit transaction information to gain financial advantage. Consensus with a fair order aims at preventing such attacks, and in particular, the differential order fairness property addresses this problem and connects fair ordering to the validity of consensus. The notion is implemented by the Quick Order-Fair Atomic Broadcast (QOF) protocol (Cachin et al., FC ‘22). This paper revisits the QOF protocol and describes a modular implementation that uses a generic consensus component. Moreover, an empirical evaluation is performed to compare the performance of QOF to a consensus protocol without fairness. Measurements show that the increased complexity comes at a cost, throughput decreases by at most 5%, and latency increases by roughly 50 ms, using an emulated ideal network. This paper contributes to a comprehensive understanding of practical aspects regarding differential order fairness with the QOF protocol and also connects this with similar fairness-imposing protocols like Themis and Pompē.

Abstract Quorum systems are a key abstraction in distributed fault-tolerant computing for capturing trust assumptions. They can be found at the core of many algorithms for implementing reliable broadcasts, shared memory, consensus and other problems. This paper introduces asymmetric Byzantine quorum systems that model subjective trust. Every process is free to choose which combinations of other processes it trusts and which ones it considers faulty. Asymmetric quorum systems strictly generalize standard Byzantine quorum systems, which have only one global trust assumption for all processes. This work also presents protocols that implement abstractions of shared memory, broadcast primitives, and a consensus protocol among processes prone to Byzantine faults and asymmetric trust. The model and protocols pave the way for realizing more elaborate algorithms with asymmetric trust.

We present simple and practical protocols for generating randomness as used by asynchronous total-order broadcast. The protocols are secure in a proof-of-stake setting with dynamically changing stake. They can be plugged into existing protocols for asynchronous total-order broadcast and will turn these into asynchronous total-order broadcast with dynamic stake. Our contribution relies on two important techniques. The paper "Random Oracles in Constantinople: Practical Asynchronous Byzantine Agreement using Cryptography" [Cachin, Kursawe, and Shoup, PODC 2000] has influenced the design of practical total-order broadcast through its use of threshold cryptography. However, it needs a setup protocol to be efficient. In a proof-of-stake setting with dynamic stake this setup would have to be continually recomputed, making the protocol impractical. The work "Asynchronous Byzantine Agreement with Subquadratic Communication" [Blum, Katz, Liu-Zhang, and Loss, TCC 2020] showed how to use an initial setup for broadcast to asymptotically efficiently generate sub-sequent setups. The protocol, however, resorted to fully homomorphic encryption and was therefore not practically efficient. We adopt their approach to the proof-of-stake setting with dynamic stake, apply it to the Constantinople paper, and remove the need for fully homomorphic encryption. This results in simple and practical proof-of-stake protocols.

Traditional blockchains grant the miner of a block full control not only over which transactions but also their order. This constitutes a major flaw discovered with the introduction of decentralized finance and allows miners to perform MEV attacks. In this paper, we address the issue of sandwich attacks by providing a construction that takes as input a blockchain protocol and outputs a new blockchain protocol with the same security but in which sandwich attacks are not profitable. Furthermore, our protocol is fully decentralized with no trusted third parties or heavy cryptography primitives and carries a linear increase in latency and minimum computation overhead.

Avalanche is a blockchain consensus protocol with exceptionally low latency and high throughput. This has swiftly established the corresponding token as a top-tier cryptocurrency. Avalanche achieves such remarkable metrics by substituting proof of work with a random sampling mechanism. The protocol also differs from Bitcoin, Ethereum, and many others by forming a directed acyclic graph (DAG) instead of a chain. It does not totally order all transactions, establishes a partial order among them, and accepts transactions in the DAG that satisfy specific properties. Such parallelism is widely regarded as a technique that increases the efficiency of consensus. Despite its success, Avalanche consensus lacks a complete abstract specification and a matching formal analysis. To address this drawback, this work provides first a detailed formulation of Avalanche through pseudocode. This includes features that are omitted from the original whitepaper or are only vaguely explained in the documentation. Second, the paper gives an analysis of the formal properties fulfilled by Avalanche in the sense of a generic broadcast protocol that only orders related transactions. Last but not least, the analysis reveals a vulnerability that affects the liveness of the protocol. A possible solution that addresses the problem is also proposed.

Blockchain protocols implement total-order broadcast in a permissionless setting, where processes can freely join and leave. In such a setting, to safeguard against Sybil attacks, correct processes rely on cryptographic proofs tied to a particular type of resource to make them eligible to order transactions. For example, in the case of Proof-of-Work (PoW), this resource is computation, and the proof is a solution to a computationally hard puzzle. Conversely, in Proof-of-Stake (PoS), the resource corresponds to the number of coins that every process in the system owns, and a secure lottery selects a process for participation proportionally to its coin holdings. Although many resource-based blockchain protocols are formally proven secure in the literature, the existing security proofs fail to demonstrate why particular types of resources cause the blockchain protocols to be vulnerable to distinct classes of attacks. For instance, PoS systems are more vulnerable to long-range attacks, where an adversary corrupts past processes to re-write the history, than Proof-of-Work and Proof-of-Storage systems. Proof-of-Storage-based and Proof-of-Stake-based protocols are both more susceptible to private double-spending attacks than Proof-of-Work-based protocols; in this case, an adversary mines its chain in secret without sharing its blocks with the rest of the processes until the end of the attack. In this paper, we formally characterize the properties of resources through an abstraction called resource allocator and give a framework for understanding longest-chain consensus protocols based on different underlying resources. In addition, we use this resource allocator to demonstrate security trade-offs between various resources focusing on well-known attacks (e.g., the long-range attack and nothing-at-stake attacks).

Fail-prone systems, and their quorum systems, are useful tools for the design of distributed algorithms. However, fail-prone systems as studied so far require every process to know the full system membership in order to guarantee safety through globally intersecting quorums. Thus, they are of little help in an open, permissionless setting, where such knowledge may not be available. We propose to generalize the theory of fail-prone systems to make it applicable to permissionless systems. We do so by enabling processes not only to make assumptions about failures, but also to make assumptions about the assumptions of other processes. Thus, by transitivity, processes that do not even know of any common process may nevertheless have intersecting quorums and solve, for example, reliable broadcast. Our model generalizes existing models such as the classic fail-prone system model [Malkhi and Reiter, 1998] and the asymmetric fail-prone system model [Cachin and Tackmann, OPODIS 2019]. Moreover, it gives a characterization with standard formalism of the model used by the Stellar blockchain.

Despite the tremendous interest in cryptocurrencies like Bitcoin and Ethereum today, many aspects of the underlying consensus protocols are poorly understood. Therefore, the search for protocols that improve either throughput or security (or both) continues. Bitcoin always selects the longest chain (i.e., the one with most work). Forks may occur when two miners extend the same block simultaneously, and the frequency of forks depends on how fast blocks are propagated in the network. In the GHOST protocol, used by Ethereum, all blocks involved in the fork contribute to the security. However, the greedy chain selection rule of GHOST does not consider the full information available in the block tree, which has led to some concerns about its security.

Modern blockchains support a variety of distributed applications beyond cryptocurrencies, including smart contracts, which let users execute arbitrary code in a distributed and decentralized fashion. Regardless of their intended application, blockchain platforms implicitly assume consensus for the correct execution of a smart contract, thus requiring that all transactions are totally ordered. It was only recently recognized that consensus is not necessary to prevent double-spending in a cryptocurrency, contrary to common belief. This result suggests that current implementations may be sacrificing efficiency and scalability because they synchronize transactions much more tightly than actually needed. In this work, we study the synchronization requirements of Ethereum's ERC20 token contract, one of the most widely adopted smart contacts. Namely, we model a smart-contract token as a concurrent object and analyze its consensus number as a measure of synchronization power. We show that the richer set of methods supported by ERC20 tokens, compared to standard cryptocurrencies, results in strictly stronger synchronization requirements. More surprisingly, the synchronization power of ERC20 tokens depends on the object's state and can thus be modified by method invocations. To prove this result, we develop a dedicated framework to express how the object's state affects the needed synchronization level. Our findings indicate that ERC20 tokens, as well as other token standards, are more powerful and versatile than plain cryptocurrencies, and are subject to dynamic requirements. Developing specific synchronization protocols that exploit these dynamic requirements will pave the way towards more robust and scalable blockchain platforms.

No abstract available.

Trust is the basis of any distributed, fault-tolerant, or secure system. A trust assumption specifies the failures that a system, such as a blockchain network, can tolerate and determines the conditions under which it operates correctly. In systems subject to Byzantine faults, the trust assumption is usually specified through sets of processes that may fail together. Trust has traditionally been symmetric, such that all processes in the system adhere to the same, global assumption about potential faults. Recently, asymmetric trust models have also been considered, especially in the context of blockchains, where every participant is free to choose who to trust. In both cases, it is an open question how to compose trust assumptions. Consider two or more systems, run by different and possibly disjoint sets of participants, with different assumptions about faults: how can they work together? This work answers this question for the first time and offers composition rules for symmetric and for asymmetric quorum systems. These rules are static and do not require interaction or agreement on the new trust assumption among the participants. Moreover, they ensure that if the original systems allow for running a particular protocol (guaranteeing consistency and availability), then so will the joint system. At the same time, the composed system tolerates as many faults as possible, subject to the underlying consistency and availability properties. Reaching consensus with asymmetric trust in the model of personal Byzantine quorum systems (Losa et al., DISC 2019) was shown to be impossible, if the trust assumptions of the processes diverge from each other. With asymmetric quorum systems, and by applying our composition rule, we show how consensus is actually possible, even with the combination of disjoint sets of processes.

Trust is the basis of any distributed, fault-tolerant, or secure system. A trust assumption specifies the failures that a system, such as a blockchain network, can tolerate and determines the conditions under which it operates correctly. In systems subject to Byzantine faults, the trust assumption is usually specified through sets of processes that may fail together. Trust has traditionally been symmetric, such that all processes in the system adhere to the same, global assumption about potential faults. Recently, asymmetric trust models have also been considered, especially in the context of blockchains, where every participant is free to choose who to trust. In both cases, it is an open question how to compose trust assumptions. Consider two or more systems, run by different and possibly disjoint sets of participants, with different assumptions about faults: how can they work together? This work answers this question for the first time and offers composition rules for symmetric and for asymmetric quorum systems. These rules are static and do not require interaction or agreement on the new trust assumption among the participants. Moreover, they ensure that if the original systems allow for running a particular protocol (guaranteeing consistency and availability), then so will the joint system. At the same time, the composed system tolerates as many faults as possible, subject to the underlying consistency and availability properties. Reaching consensus with asymmetric trust in the model of personal Byzantine quorum systems (Losa et al., DISC 2019) was shown to be impossible, if the trust assumptions of the processes diverge from each other. With asymmetric quorum systems, and by applying our composition rule, we show how consensus is actually possible, even with the combination of disjoint sets of processes.

Among asynchronous, randomized, and signature-free implementations of consensus, the protocols of Mostéfaoui et al. (PODC 2014 and JACM 2015) represent a landmark result, which has been extended later and taken up in practical systems. The protocols achieve optimal resilience and take, in expectation, only a constant expected number of rounds and have quadratic message complexity. Randomization is provided through a common-coin primitive. However, the first version of this simple and appealing protocol suffers from a little-known liveness issue due to asynchrony. The JACM 2015 version avoids the problem, but is considerably more complex. This work revisits the original protocol of PODC 2014 and points out in detail why it may not progress. A fix for the protocol is presented, which does not affect any of its properties, but lets it regain the original simplicity in asynchronous networks enhanced with a common-coin protocol.

The following topics are dealt with: learning (artificial intelligence); distributed databases; storage management; software fault tolerance; cloud computing; data privacy; trusted computing; protocols; cryptography; message passing.

Blockchain technology promises to revolutionize manufacturing industries. For example, several supply chain use cases may benefit from transparent asset tracking and automated processes using smart contracts. Several real-world deployments exist where the transparency aspect of a blockchain is both an advantage and a disadvantage at the same time. The exposure of assets and business interaction represent critical risks. However, there are typically no confidentiality guarantees to protect the smart contract logic as well as the processed data. Trusted execution environments (TEE) are an emerging technology available in both edge or mobile-grade processors (e.g., ARM TrustZone) and server-grade processors (e.g., Intel SGX). TEEs shield both code and data from malicious attackers. This practical experience report presents TZ4FABRIC, an extension of Hyperledger Fabric to leverage ARM TrustZone for the secure execution of smart contracts. Our design minimizes the trusted computing base executed by avoiding the execution of a whole Hyperledger Fabric node inside the TEE, which continues to run in untrusted environment. Instead, we restrict it to the execution of only the smart contract. The TZ4FABRIC prototype exploits the opensource OP-TEE framework, as it supports deployments on cheap low-end devices (e.g., Raspberry Pis). Our experimental results highlight the performance trade-off due to the additional security guarantees provided by ARM TrustZone. TZ4FABRIC will be released as open source.

Quorum systems are a key abstraction in distributed fault-tolerant computing for capturing trust assumptions. They can be found at the core of many algorithms for implementing reliable broadcasts, shared memory, consensus and other problems. This paper introduces asymmetric Byzantine quorum systems that model subjective trust. Every process is free to choose which combinations of other processes it trusts and which ones it considers faulty. Asymmetric quorum systems strictly generalize standard Byzantine quorum systems, which have only one global trust assumption for all processes. This work also presents protocols that implement abstractions of shared memory and broadcast primitives with processes prone to Byzantine faults and asymmetric trust. The model and protocols pave the way for realizing more elaborate algorithms with asymmetric trust.

A smart contract on a blockchain cannot keep a secret because its data is replicated on all nodes in a network. To remedy this problem, it has been suggested combining blockchains with trusted execution environments (TEEs), such as Intel SGX, for executing applications that demand confidentiality. As a consequence, untrusted blockchain nodes cannot get access to the data and computations inside the TEE. This paper first explores issues that arise from the combination of TEEs with blockchains: Smart contracts executed inside TEEs are susceptible to rollback attacks, which should be prevented to maintain confidentiality for the application. However, in blockchains with non-final consensus protocols, such as the proof-of-work in Ethereum and others, the contract execution must handle rollbacks by design. This implies that TEEs for securing smart-contract execution cannot be directly used for such blockchains; this approach works only when the consensus decisions are final. Second, this work introduces an architecture and a prototype for smart-contract execution within Intel SGX for Hyperledger Fabric, a prominent enterprise blockchain platform. Our system resolves additional difficulties posed by the specific execute-order-validate architecture of Fabric, prevents rollback attacks on TEE-based execution as far as possible, and minimizes the trusted computing base. For increasing security, our design encapsulates each application on the blockchain within its own enclave that shields it from the host system. An evaluation shows that the overhead of moving the execution into SGX is within 10%-20% for a sealed-bid auction application.

Quorum systems are a key abstraction in distributed fault-tolerant computing for capturing trust assumptions. They can be found at the core of many algorithms for implementing reliable broadcasts, shared memory, consensus and other problems. This paper introduces asymmetric Byzantine quorum systems that model subjective trust. Every process is free to choose which combinations of other processes it trusts and which ones it considers faulty. Asymmetric quorum systems strictly generalize standard Byzantine quorum systems, which have only one global trust assumption for all processes. This work also presents protocols that implement abstractions of shared memory and broadcast primitives with processes prone to Byzantine faults and asymmetric trust. The model and protocols pave the way for realizing more elaborate algorithms with asymmetric trust.

Fabric is a modular and extensible open-source system for deploying and operating permissioned blockchains and one of the Hyperledger projects hosted by the Linux Foundation (www.hyperledger.org).

As use of cryptography increases in all areas of computing, efficient solutions for key management in distributed systems are needed. Large deployments in the cloud can require millions of keys for thousands of clients. The current approaches for serving keys are centralized components, which do not scale as desired. This work reports on the realization of a key manager that uses an untrusted distributed key-value store (KVS) and offers consistent key distribution over the Key-Management Interoperability Protocol (KMIP). To achieve confidentiality, it uses a key hierarchy where every key except a root key itself is encrypted by the respective parent key. The hierarchy also allows for key rotation and, ultimately, for secure deletion of data. The design permits key rotation to proceed concurrently with key-serving operations. A prototype was integrated with IBM Spectrum Scale, a highly scalable cluster file system, where it serves keys for file encryption. Linear scalability was achieved even under load from concurrent key updates. The implementation shows that the approach is viable, works as intended, and suitable for high-throughput key serving in cloud platforms.

Novel hardware-aided trusted execution environments, as provided by Intel's Software Guard Extensions (SGX), enable to execute applications in a secure context that enforces confidentiality and integrity of the application state even when the host system is misbehaving. While this paves the way towards secure and trustworthy cloud computing, essential system support to protect persistent application state against rollback and forking attacks is missing. In this paper we present LCM - a lightweight protocol to establish a collective memory amongst all clients of a remote application to detect integrity and consistency violations. LCM enables the detection of rollback attacks against the remote application, enforces the consistency notion of fork-linearizability and notifies clients about operation stability. The protocol exploits the trusted execution environment, complements it with simple client-side operations, and maintains only small, constant storage at the clients. This simplifies the solution compared to previous approaches, where the clients had to verify all operations initiated by other clients. We have implemented LCM and demonstrated its advantages with a key-value store application. The evaluation shows that it introduces low network and computation overhead, in particular, a LCM-protected key-value store achieves 0.72x - 0.98x of an SGX-secured key-value store throughput.

A blockchain is a distributed ledger for recording transactions, maintained by many nodes without central authority through a distributed cryptographic protocol. All nodes validate the information to be appended to the blockchain, and a consensus protocol ensures that the nodes agree on a unique order in which entries are appended. Consensus protocols for tolerating Byzantine faults have received renewed attention because they also address blockchain systems. This work discusses the process of assessing and gaining confidence in the resilience of a consensus protocols exposed to faults and adversarial nodes. We advocate to follow the established practice in cryptography and computer security, relying on public reviews, detailed models, and formal proofs; the designers of several practical systems appear to be unaware of this. Moreover, we review the consensus protocols in some prominent permissioned blockchain platforms with respect to their fault models and resilience against attacks.

Cloud services have turned remote computation into a commodity and enable convenient online collaboration. However, they require that clients fully trust the service provider in terms of confidentiality, integrity, and availability. Toward reducing this dependency, this article introduces VICOS , a protocol for verification of integrity and consistency for cloud object storage that enables a group of mutually trusting clients to detect data integrity and consistency violations for a cloud object storage service. It aims at services where multiple clients cooperate on data stored remotely on a potentially misbehaving service. VICOS enforces the consistency notion of fork-linearizability, supports wait-free client semantics for most operations, and reduces the computation and communication overhead compared to previous protocols. VICOS is based on a generic authenticated data structure. Moreover, its operations cover the hierarchical name space of a cloud object store, supporting a real-world interface and not only a simplistic abstraction. A prototype of VICOS that works with the key-value store interface of commodity cloud storage services has been implemented, and an evaluation demonstrates its advantage compared to existing systems.

A blockchain is a public ledger for recording transactions, maintained by many nodes without central authority through a distributed cryptographic protocol. All nodes validate the information to be appended to the blockchain, and a consensus protocol ensures that the nodes agree on a unique order in which entries are appended. Distributed protocols tolerating faults and adversarial attacks, coupled with cryptographic tools are needed for this. The recent interest in blockchains has revived research on consensus protocols, ranging from the proof-of-work method in Bitcoin's "mining" protocol to classical Byzantine agreement. Going far beyond its use in cryptocurrencies, blockchain is today viewed as a promising technology to simplify trusted exchanges of data and goods among companies. In this context, the Hyperledger Project has been established in early 2016 as an industry-wide collaborative effort to develop an open-source blockchain. This talk will present an overview of blockchain concepts, cryptographic building blocks and consensus mechanisms. It will also introduce Hyperledger Fabric, an implementation of blockchain technology intended for enterprise applications. Being one of the key partners in the Hyperledger Project, IBM is actively involved in the development of this blockchain platform.

Service replication distributes an application over many processes for tolerating faults, attacks, and misbehavior among a subset of the processes. The established state-machine replication paradigm inherently requires the application to be deterministic. This paper distinguishes three models for dealing with non-determinism in replicated services, where some processes are subject to faults and arbitrary behavior (so-called Byzantine faults): first, a modular approach that does not require any changes to the potentially non-deterministic application (and neither access to its internal data); second, a master-slave approach, in which ties are broken by a leader and the other processes validate the choices of the leader; and finally, a treatment of applications that use cryptography and secret keys. Cryptographic operations and secrets must be treated specially because they require strong randomness to satisfy their goals. The paper also introduces two new protocols. The first uses the modular approach for filtering out non-de\-ter\-min\-istic operations in an application. It ensures that all correct processes produce the same outputs and that their internal states do not diverge. The second protocol implements cryptographically secure randomness generation with a verifiable random function and is appropriate for certain security models. All protocols are described in a generic way and do not assume a particular implementation of the underlying consensus primitive.

One of the main reasons why Byzantine fault-tolerant (BFT) systems are currently not widely used lies in their high resource consumption:$3f+1$replicas are required to tolerate only$f$faults. Recent works have been able to reduce the minimum number of replicas to$2f+1$by relying on trusted subsystems that prevent a faulty replica from making conflicting statements to other replicas without being detected. Nevertheless, having been designed with the focus on fault handling, during normal-case operation these systems still use more resources than actually necessary to make progress in the absence of faults. This paper presentsResource-efficient Byzantine Fault Tolerance(ReBFT), an approach that minimizes the resource usage of a BFT system during normal-case operation by keeping$f$replicas in a passive mode. In contrast to active replicas, passive replicas neither participate in the agreement protocol nor execute client requests; instead, they are brought up to speed by verified state updates provided by active replicas. In case of suspected or detected faults, passive replicas are activated in a consistent manner. To underline the flexibility of our approach, we applyReBFTto two existing BFT systems: PBFT and MinBFT.

Cloud services have turned remote computation into a commodity and enable convenient online collaboration. However, they require that clients fully trust the service provider in terms of confidentiality, integrity, and availability. Towards reducing this dependency, this paper introduces a protocol for verification of integrity and consistency for cloud object storage (VICOS), which enables a group of mutually trusting clients to detect data-integrity and consistency violations for cloud storage. It aims at services where multiple clients cooperate on data stored remotely on a potentially misbehaving service. VICOS enforces the consistency notion of fork-linearizability, supports wait-free client semantics for most operations, and reduces the computation and communication overhead compared to previous protocols. VICOS is based in a generic way on any authenticated data structure. A prototype of VICOS that works with the key-value store interface of commodity cloud storage has been implemented, and an evaluation demonstrates its advantage compared to existing systems.

Interactive hashing has featured as an essential ingredient in protocols realizing a large variety of cryptographic tasks, notably oblivious transfer in the bounded storage model. In interactive hashing, a sender transfers a bit string to a receiver such that two strings are received, the original string and a second string that appear to be chosen at random. This paper presents a self-contained, information theoretic study of interactive hashing. We start by formalizing the notion of interactive hashing as a cryptographic primitive, disentangling it from the specifics of its various implementations. To this end, we present an application-independent set of information theoretic conditions that all interactive hashing protocols must ideally satisfy. We then provide a detailed analysis of a standard implementation of interactive hashing which is shown to satisfy all the conditions of our definition. Our analysis represents a significant improvement over previous attempts in more restricted contexts. Despite its generality, it offers a considerably simpler proof of security. Moreover, it establishes a tighter upper bound on the cheating probability of a dishonest sender, who wishes to manipulate the protocol so that both output strings have some rare desirable property. In particular, we prove that if the set of desirable strings for the dishonest sender represents a fraction f of all strings, then the probability that both outputs will be from this set is no larger than 15.6805 · f. This upper bound is valid for any f and is tight up to a small constant, since a sender acting honestly would get two outputs from this set with probability very close to f. We illustrate the power of interactive hashing as a cryptographic tool by surveying protocols achieving oblivious transfer in the bounded storage model, which typically rely heavily on interactive hashing.

No abstract available.

Securely deleting data from storage systems has become difficult today. Most storage space is provided as a virtual resource and traverses many layers between the user and the actual physical storage medium. Operations to properly erase data and wipe out all its traces are typically not foreseen, particularly not in networked and cloud-storage systems. This paper introduces a general cryptographic model for policy-based secure deletion of data in storage systems, whose security relies on the proper erasure of cryptographic keys. Deletion operations are expressed in terms of a policy that describes data destruction through deletion attributes and protection classes. The policy links attributes as specified in deletion operations to the protection class(es) that must be erased accordingly. A cryptographic construction is presented for deletion policies given by directed acyclic graphs; it is built in a modular way from exploiting that secure deletion schemes may be composed with each other. The model and the construction unify and generalize all previous encryption-based techniques for secure deletion. Finally, the paper describes a prototype implementation of a Linux filesystem with policy-based secure deletion.

A key-value store (KVS) offers functions for storing and retrieving values associated with unique keys. KVSs have become the most popular way to access Internet-scale “cloud” storage systems. We present an efficient wait-free algorithm that emulates multi-reader multi-writer storage from a set of potentially faulty KVS replicas in an asynchronous environment. Our implementation serves an unbounded number of clients that use the storage concurrently. It tolerates crashes of a minority of the KVSs and crashes of any number of clients. Our algorithm minimizes the space overhead at the KVSs and comes in two variants providing regular and atomic semantics, respectively. Compared with prior solutions, it is inherently scalable and allows clients to write concurrently. Because of the limited interface of a KVS, textbook-style solutions for reliable storage either do not work or incur a prohibitively large storage overhead. Our algorithm maintains two copies of the stored value per KVS in the common case, and we show that this is indeed necessary. If there are concurrent write operations, the maximum space complexity of the algorithm grows in proportion to the point contention. A series of simulations explore the behavior of the algorithm, and benchmarks obtained with KVS cloud-storage providers demonstrate its practicality.

One of the main reasons why Byzantine fault-tolerant (BFT) systems are not widely used lies in their high resource consumption: 3f+1 replicas are necessary to tolerate only f faults. Recent works have been able to reduce the minimum number of replicas to 2f+1 by relying on a trusted subsystem that prevents a replica from making conflicting statements to other replicas without being detected. Nevertheless, having been designed with the focus on fault handling, these systems still employ a majority of replicas during normal-case operation for seemingly redundant work. Furthermore, the trusted subsystems available trade off performance for security; that is, they either achieve high throughput or they come with a small trusted computing base.

A key-value store (KVS) offers functions for storing and retrieving values associated with unique keys. KVSs have become widely used as shared storage solutions for Internet-scale distributed applications.

We consider a set of clients collaborating through an online service provider that is subject to attacks and hence not fully trusted by the clients. We introduce the abstraction of a fail-aware untrusted service, with meaningful semantics even when the provider is faulty. In the common case, when the provider is correct, such a service guarantees consistency (linearizability) and liveness (wait-freedom) of all operations. In addition, the service always provides accurate and complete consistency and failure detection. We illustrate our new abstraction by presenting a Fail-Aware Untrusted STorage service (FAUST). Existing storage protocols in this model guarantee so-called forking semantics. We observe, however, that none of the previously suggested protocols suffices for implementing fail-aware untrusted storage with the desired liveness and consistency properties (at least wait-freedom and linearizability when the server is correct). We present a new storage protocol, which does not suffer from this limitation, and implements a new consistency notion, called weak fork-linearizability. We show how to extend this protocol to provide eventual consistency and failure awareness in FAUST.

Cryptographic keys must be protected from exposure. In real-world applications, they are often guarded by cryptographic tokens that employ sophisticated hardware-security measures. Several logical attacks on the key management operations of cryptographic tokens have been reported in the past, which allowed to expose keys merely by exploiting the token API in unexpected ways. This paper proposes a novel, provably secure, cryptographic token interface that supports multiple users, implements symmetric cryptosystems and public-key schemes, and provides operations for key generation, encryption, authentication, and key wrapping. The token interface allows only the most important operations found in real-world token APIs; while flexible to be of practical use, it is restricted enough so that it does not expose any key to a user without sufficient privileges. The security policy can be applied to the industry-standard PKCS #11 interface.

We consider a set of clients collaborating through an online service provider that is subject to attacks, and hence not fully trusted by the clients. We introduce the abstraction of a fail-aware untrusted service, with meaningful semantics even when the provider is faulty. In the common case, when the provider is correct, such a service guarantees consistency (linearizability) and liveness (wait-freedom) of all operations. In addition, the service always provides accurate and complete consistency and failure detection. We illustrate our new abstraction by presenting a Fail-Aware Untrusted STorage service (FAUST). Existing storage protocols in this model guarantee so-called forking semantics. We observe, however, that none of the previously suggested protocols suffice for implementing fail-aware untrusted storage with the desired liveness and consistency properties (at least wait-freedom and linearizability when the server is correct). We present a new storage protocol, which does not suffer from this limitation, and implements a new consistency notion, called weak fork-linearizability. We show how to extend this protocol to provide eventual consistency and failure awareness in FAUST.

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When data is stored on a faulty server that is accessed concurrently by multiple clients, the server may present inconsistent data to different clients. For example, the server might complete a write operation of one client, but respond with stale data to another client. Mazières and Shasha (PODC 2002) introduced the notion of fork-consistency, also called fork-linearizability, which ensures that the operations seen by every client are linearizable and guarantees that if the server causes the views of two clients to differ in a single operation, they may never again see each other's updates after that without the server being exposed as faulty. In this paper, we improve the communication complexity of their fork-linearizable storage access protocol with n clients from Ω(n2) to O(n). We also prove that in every such protocol, a reader must wait for a concurrent writer. This explains a seeming limitation of their and of our improved protocol. Furthermore, we give novel characterizations of fork-linearizability and prove that it is neither stronger nor weaker than sequential consistency.

We analyze the problem of efficiently storing large amounts of data on a distributed set of servers that may be accessed concurrently from multiple clients by sending messages over an asynchronous network. Up to one third of the servers and an arbitrary number of clients may be faulty and exhibit Byzantine behavior. We provide the first simulation of a multiple-writer multiple-reader atomic read/write register using erasure-coding in this setting that achieves optimal resilience and minimal storage overhead. Additionally, we give the first implementation of non-skipping timestamps which provides optimal resilience and withstands Byzantine clients; it is based on threshold cryptography

Information dispersal addresses the question of storing a file by distributing it among a set of servers in a storage-efficient way. We introduce the problem of verifiable information dispersal in an asynchronous network, where up to one third of the servers as well as an arbitrary number of clients might exhibit Byzantine faults. Verifiability ensures that the stored information is consistent despite such faults. We present a storage and communication-efficient scheme for asynchronous verifiable information dispersal that achieves an asymptotically optimal storage blow-up. Additionally, we show how to guarantee the secrecy of the stored data with respect to an adversary that may mount adaptive attacks. Our technique also yields a new protocol for asynchronous reliable broadcast that improves the communication complexity by an order of magnitude on large inputs.

A correctly working domain name system (DNS) is essential for the Internet. Due to its significance and because of deficiencies in its current design, the DNS is vulnerable to a wide range of attacks. This paper presents the design and implementation of a secure distributed name service on the level of a DNS zone. Our service is able to provide fault tolerance and security even in the presence of a fraction of corrupted name servers, avoiding any single point of failure. It further solves the problem of storing zone secrets online without leaking them to a corrupted server, while still supporting secure dynamic updates. Our service uses state-machine replication and threshold cryptography. We present results from experiments performed using a prototype implementation on the Internet in realistic setups. The results show that our design achieves the required assurances while servicing the most frequent requests in reasonable time.

Group key exchange protocols allow a group of servers communicating over an asynchronous network of point-to-point links to establish a common key, such that an adversary which fully controls the network links (but not the group members) cannot learn the key. Currently known group key exchange protocols rely on the assumption that all group members participate in the protocol and if a single server crashes, then no server may terminate the protocol. In this paper, we propose the first purely asynchronous group key exchange protocol that tolerates a minority of servers to crash. Our solution uses a constant number of rounds, which makes it suitable for use in practice. Furthermore, we also investigate how to provide forward secrecy with respect to an adversary that may break into some servers and observe their internal state. We show that any group key exchange protocol among n servers that tolerates tc > 0 servers to crash can only provide forward secrecy if the adversary breaks into less than n - 2tc servers, and propose a group key exchange protocol that achieves this bound.

This paper presents a formal model for asynchronous distributed systems with servers that may exhibit Byzantine faults or crash and subsequently recover. The model is computational and based on techniques from modern cryptography, which allows for reasoning about cryptographic protocols in a meaningful way. One of the most important problems in faulttolerant distributed computing, reliable broadcast, is then investigated in this hybrid model. A definition of reliable broadcast is presented and an implementation is given based on the protocol of Bracha. 1

We study the problem of secure message transmission among a group of parties in an insecure asynchronous network, where an adversary may repeatedly break into some parties for transient periods of time. A solution for this task is needed in order to use proactive cryptosystems in wide-area networks with loose synchronization. Parties have access to a secure hardware device that stores some cryptographic keys, but can carry out only a very limited set of operations. We provide a formal model of the system, using the framework for asynchronous reactive systems proposed by Pfitzmann and Waidner (Symposium on Security & Privacy, 2001), present a protocol for proactive message transmission, and prove it secure using the composability property of the framework.

This paper presents an efficient asynchronous protocol to compute RSA inverses with respect to a public RSA modulus N whose factorization is secret and shared among a group of parties. Given two numbers x and e, the protocol computes y such that ye≡x (mod N). A synchronous protocol for this task has been presented by Catalano, Gennaro, and Halevi (Eurocrypt 2000), but the standard approach for turning this into an asynchronous protocol would require a Byzantine-agreement sub-protocol. Our protocol adopts their approach, but exploits a feature of the problem in order to avoid the use of a Byzantine agreement primitive. Hence, it leads to efficient asynchronous protocols for threshold signatures and for Byzantine agreement based on the strong RSA assumption, without the use of random oracles.

Verifiable secret sharing is an important primitive in distributed cryptography. With the growing interest in the deployment of threshold cryptosystems in practice, the traditional assumption of a synchronous network has to be reconsidered and generalized to an asynchronous model. This paper proposes the first practical verifiable secret sharing protocol for asynchronous networks. The protocol creates a discrete logarithm-based sharing and uses only a quadratic number of messages in the number of participating servers. It yields the first asynchronous Byzantine agreement protocol in the standard model whose efficiency makes it suitable for use in practice. Proactive cryptosystems are another important application of verifiable secret sharing. The second part of this paper introduces proactive cryptosystems in asynchronous networks and presents an efficient protocol for refreshing the shares of a secret key for discrete logarithm-based sharings.

This paper describes a Secure INtrusion-Tolerant Replication Architecture (SINTRA) for coordination in asynchronous networks subject to Byzantine faults. SINTRA supplies a number of group communication primitives, such as binary and multi-valued Byzantine agreement, reliable and consistent broadcast, and an atomic broadcast channel. Atomic broadcast immediately provides secure state-machine replication. The protocols are designed for an asynchronous wide-area network, such as the Internet, where messages may be delayed indefinitely, the servers do not have access to a common clock, and up to one third of the servers may fail in potentially malicious ways. Security is achieved through the use of threshold public-key cryptography, in particular through a cryptographic common coin based on the Diffie-Hellman problem that underlies the randomized protocols in SINTRA. The implementation of SINTRA in Java is described and timing measurements are given for a test-bed of servers distributed over three continents. They show that extensive use of public-key cryptography does not impose a large overhead for secure coordination in wide-area networks.

This paper describes an architecture for secure and fault-tolerant service replication in an asynchronous network such as the Internet, where a malicious adversary may corrupt some servers and control the network. It relies on recent protocols for randomized Byzantine agreement and for atomic broadcast, which exploit concepts from threshold cryptography. The model and its assumptions are discussed in detail and compared to related work from the last decade in the first part of this work, and an overview of the broadcast protocols in the architecture is provided. The standard approach in fault-tolerant distributed systems is to assume that at most a certain fraction of servers fails. In the second part, novel general failure patterns and corresponding protocols are introduced. The allow for realistic modeling of real-world trust assumptions, beyond (weighted) threshold models. Finally, the application of our architecture to trusted services is discussed.

We address the protection of mobile code against cheating and potentially malicious hosts. We point out that the recent approach based on computing with "encrypted functions" is limited to the case where only the code originator learns the result of the completion and the host running the code must not notice anything at all. We argue that if the host is to receive some output of the computation, then securing mobile code requires minimal trust in a third party. Tamper-proof hardware installed on each host has been proposed for this purpose. We introduce a new approach for securely executing (fragments of) mobile code that relies on a minimally trusted third party. This party is a generic independent entity, called the secure computation service, which performs some operations on behalf of the mobile application, but does not learn anything about the encrypted computation. Because it is universal, the secure computation service needs to be only minimally trusted and can serve many different applications. We present a protocol based on tools from theoretical cryptography that is quite practical for computing small functions.

Byzantine agreement requires a set of parties in a distributed system to agree on a value even if some parties are corrupted. A new protocol for Byzantine agreement in a completely asynchronous network is presented that makes use of cryptography, specifically of threshold signatures and coin-tossing protocols. These cryptographic protocols have practical and provably secure implementations in the “random oracle” model. In particular, a coin-tossing protocol based on the Diffie-Hellman problem is presented and analyzed.

We describe a novel and efficient protocol for the following problem: A wants to buy some good from B if the price is less than a. B would like to sell, but only for more than b, and neither of them wants to reveal the secret bounds. Will the deal take place? Our solution uses an oblivious third party T who learns no information about a or b, not even whether a > b. The protocol needs only a single round of interaction, ensures fairness, and is not based on general circuit evaluation techniques. It uses a novel construction, which combines homomorphic encryption with the φ-hiding assumption and which may be of independent interest. Applications include bargaining between two parties and secure and efficient auctions in the absence of a fully trusted auction service.

We propose a protocol for oblivious transfer that is unconditionally secure under the sole assumption that the memory size of the receiver is bounded. The model assumes that a random bit string slightly larger than the receiver's memory is broadcast (either by the sender or by a third party). In our construction, both parties need memory of size in /spl theta/(n/sup 2-2/spl alpha//) for some /spl alpha//spl beta/>0, whereas a malicious receiver can have up to /spl gamma/N bits of memory for any /spl gamma/<1. In the course of our analysis, we provide a direct study of an interactive hashing protocol closely related to that of M. Naor et al. (1998).