Dijkstra monad
WebMay 17, 1993 · The Dijkstra and Hoare monads have been introduced recently for capturing weakest precondition computations and computations with pre- and post-conditions, within the context of program verification, supported by a theorem prover. Here we give a more general description of such monads in a categorical setting. We first … WebThe Dijkstra monad equips a state monad with a predicate transformer (Dijkstra 1975) that can be used to compute a pre-condition for a computation, for any context in which that …
Dijkstra monad
Did you know?
WebFor defining correct monad transformers, we propose a language inspired by Moggi's monadic metalanguage that is parameterized by a dependent type theory. We also develop a notion of algebraic operations for Dijkstra monads, and start to investigate two ways of also accommodating effect handlers. WebDijkstra monads. Seeking to compute verification conditions for programs with effects beyond just state, Swamy et al. [2013] proposed Dijkstra monads. Refined further by 2016], Ahman et al . [2024] andMaillard et al 2024], a Dijkstra monad D is a monad-like typeclass where the indexing structure is itself a monad {M ,return bind}.
WebMay 18, 2024 · The Agda implementation is a translation of our Haskell implementation based on LibraBFT. This short paper focuses on one aspect of this work. We have developed a library that enables the... WebJun 6, 2013 · This paper advocates a new verification methodology for higher-order stateful programs, based on a new monad of predicate transformers called the Dijkstra monad. …
WebA Dijkstra monad DA w is a monad-like structure that classifies effectful computations returning values inA and specified byw : WA, whereW is what we call a specification … WebDijkstra monads enable a dependent type theory to be enhanced with support for specifying and verifying effectful code via weakest preconditions. Together with their …
WebDijkstra monads enable a dependent type theory to be enhanced with support for specifying and verifying effectful code via weakest preconditions. Together with their closely related counterparts, Hoare monads , they provide the basis on which ...
WebNov 2, 2015 · The Dijkstra and Hoare monads have been introduced recently for capturing weakest precondition computations and computations with pre- and post-conditions, … fighting bishops ohio collegeWebJan 10, 2024 · Dijkstra's algorithm is an algorithm that is used to solve the shortest distance problem. That is, we use it to find the shortest distance between two vertices on a graph. … fighting blindness in canadaWebmonad-dijkstra. A monad transformer for weighted graph searches using Dijkstra's or A* algorithm. The SearchT Monad Transformer. This library implements the SearchT monad transformer, in which monadic computations can be associated with costs and alternative computational paths can be explored concurrently. The API is built in terms of the … fightingblindness.orgWebAbstract. This paper proposes a general semantic framework for verifying programs with arbitrary monadic side-effects using Dijkstra monads, which we define as monad-like structures indexed by a specification monad. We prove that any monad morphism between a computational monad and a specification monad gives rise to a Dijkstra monad, … fighting blood つのだ☆ひろWebDijkstra monads enable a dependent type theory to be enhanced with support for specifying and verifying effectful code via weakest preconditions. Together with their … fighting bloodWebusing Dijkstra monads, which we define as monad-like structures indexed by a specification monad. We prove that any monad morphism between a computational monad and a specification monad gives rise to a Dijkstra monad, which provides great flexibility for obtaining Dijkstra monads tailored to the verification task at hand. fighting blindness irelandWebMay 27, 2024 · For defining correct monad transformers, we propose a language inspired by Moggi’s monadic metalanguage that is parameterized by a dependent type theory. … fighting black and white