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LibraBFT is a Byzantine Fault Tolerant (BFT) consensus protocol based on HotStuff. We present an abstract model of the protocol underlying HotStuff / LibraBFT, and formal, machine-checked proofs of their core correctness (safety) property…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-30 Harold Carr , Christopher Jenkins , Mark Moir , Victor Cacciari Miraldo , Lisandra Silva

We present a lightweight, open source Agda framework for manually verifying effectful programs using predicate transformer semantics. We represent the abstract syntax trees (AST) of effectful programs with a generalized algebraic datatype…

Software Engineering · Computer Science 2022-08-18 Christa Jenkins , Mark Moir , Harold Carr

Liquid Haskell is an extension to the Haskell programming language that adds support for refinement types: data types augmented with SMT-decidable logical predicates that refine the set of values that can inhabit a type. Furthermore, Liquid…

Programming Languages · Computer Science 2021-10-12 Patrick Redmond , Gan Shen , Lindsey Kuper

Datatype-generic programming increases program abstraction and reuse by making functions operate uniformly across different types. Many approaches to generic programming have been proposed over the years, most of them for Haskell, but…

Programming Languages · Computer Science 2012-02-15 José Pedro Magalhães , Andres Löh

In recent years, the interest in using proof assistants to formalise and reason about mathematics and programming languages has grown. Type-logical grammars, being closely related to type theories and systems used in functional programming,…

Logic in Computer Science · Computer Science 2017-09-06 Wen Kokke

Using agda2hs and ad-hoc Haskell FFI bindings, writing Qt applications in C++ with Agda- or Haskell-based backends (possibly including correctness proofs) is already possible. However, there was no repeatable methodology to do so, nor to…

Programming Languages · Computer Science 2026-03-26 Viktor Csimma

Theorem provers are tools that help users to write machine readable proofs. Some of this tools are also interactive. The need of such softwares is increasing since they provide proofs that are more certified than the hand written ones. Agda…

Logic in Computer Science · Computer Science 2020-02-18 Luca Ciccone

The Agda Universal Algebra Library (agda-algebras) is a library of types and programs (theorems and proofs) we developed to formalize the foundations of universal algebra in dependent type theory using the Agda programming language and…

Logic in Computer Science · Computer Science 2021-12-02 William DeMeo , Jacques Carette

Many variants of type theory extend a basic theory with additional primitives or properties like univalence, guarded recursion or parametricity, to enable constructions or proofs that would be harder or impossible to do in the original…

Programming Languages · Computer Science 2022-07-05 Joris Ceulemans , Andreas Nuyts , Dominique Devriese

Agda is a dependently-typed functional programming language, based on an extension of intuitionistic Martin-L\"of type theory. We implement first order natural deduction in Agda. We use Agda's type checker to verify the correctness of…

Logic · Mathematics 2021-04-12 Louis Warren

As the development of formal proofs is a time-consuming task, it is important to devise ways of sharing the already written proofs to prevent wasting time redoing them. One of the challenges in this domain is to translate proofs written in…

Logic in Computer Science · Computer Science 2022-11-11 Thiago Felicissimo , Frédéric Blanqui , Ashish Kumar Barnawal

Agda is a dependently-typed programming language and a proof assistant, pivotal in proof formalization and programming language theory. This paper extends the Agda ecosystem into machine learning territory, and, vice versa, makes…

Machine Learning · Computer Science 2024-10-31 Konstantinos Kogkalidis , Orestis Melkonian , Jean-Philippe Bernardy

Dependently-typed proof assistants furnish expressive foundations for mechanised mathematics and verified software. However, automation for these systems has been either modest in scope or complex in implementation. We aim to improve the…

Logic in Computer Science · Computer Science 2026-02-24 Artjoms Šinkarovs , Michael Rawson

We describe an approach to the verified implementation of transformations on functional programs that exploits the higher-order representation of syntax. In this approach, transformations are specified using the logic of hereditary Harrop…

Programming Languages · Computer Science 2016-01-26 Yuting Wang , Gopalan Nadathur

Hyperledger Fabric is an enterprise grade permissioned distributed ledger platform that offers modularity for a broad set of industry use cases. One modular component is a pluggable ordering service that establishes consensus on the order…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-16 Artem Barger , Yacov Manevich , Hagar Meir , Yoav Tock

Arma is a Byzantine Fault Tolerant (BFT) consensus system designed to achieve horizontal scalability across all hardware resources: network bandwidth, CPU, and disk I/O. As opposed to preceding BFT protocols, Arma separates the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-29 Yacov Manevich , Hagar Meir , Kaoutar Elkhiyaoui , Yoav Tock , May Buzaglo

Arma is a Byzantine Fault Tolerant (BFT) consensus system designed to achieve linear scalability across all hardware resources: network bandwidth, CPU, and disk I/O. As opposed to preceding BFT protocols, Arma separates the dissemination…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-22 Yacov Manevich

Recent developments in the Byzantine Fault Tolerant consensus protocols have shown the DAG-based protocols to be a very promising technique. While early implementations of DAG-based protocols such as Narwhal/Bullshark trade high throughput…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-27 Andrey Chursin

Byzantine fault tolerant protocols enable state replication in the presence of crashed, malfunctioning, or actively malicious processes. Designing such protocols without the assistance of verification tools, however, is remarkably…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Joel Wanner , Laurent Chuat , Adrian Perrig

Byzantine Fault Tolerant (BFT) systems are considered by the systems research community to be state of the art with regards to providing reliability in distributed systems. BFT systems provide safety and liveness guarantees with reasonable…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-24 Nikos Chondros , Konstantinos Kokordelis , Mema Roussopoulos
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