Dijkstra monad
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 … WebThis paper extends the Dijkstra monad framework, designed for writing specifications over effectful programs using monadic effects, to handle termination sensitive specifications over interactive programs. We achieve this by introducing base specification monads for non-terminating programs with uninterpreted events.
Dijkstra monad
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WebDijkstraMonadsforAll 104:3 them independently and only require that they are related by a monad morphism, i.e., a mapping between two monads that respects their monadic … Webmonad-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 …
Webdescription of such Dijkstra monads in a categorical setting. We rst elaborate the recently developed view on program semantics in terms of a triangle of computations, state transformers, and predicate trans-formers. Instantiations of this triangle for di erent monads T show how to de ne the Dijkstra monad associated with T, via the logic involved. WebDijkstra monads enable a dependent type theory to be enhanced with support for specifying and verifying effectful code via weakest preconditions. Together with their …
Webusing 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. WebThe Dijkstra and Hoare monads have been introduced recently for capturing weak- est precondition computations and computations with pre- and post-conditions, within the …
WebEach point in the lattice is a monad of predicate transformers (aka a Dijkstra monad) Key idea, in three steps: Fix the bottom and top of the lattice: .wp and .wp. In between, partition the effects as needed, defining a WP calculus for each sub-effect and monad morphisms to partially order effects E.g., .wp.wp.wp
WebMay 11, 2024 · Automatically deriving Dijkstra monads in this way provides a correct-by-construction and efficient way of reasoning about user-defined effects in dependent type theories. We demonstrate these... ffc2 fichaWebJan 1, 2016 · Dijkstra 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 verification tools like F*, Hoare Type Theory (HTT), and Ynot are built.We show that Dijkstra … denied credit reportWebJun 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. … denied credit card through firestoneWebAbstract. 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, … ffc2b35-10-t footprintWebJan 1, 2014 · The Dijkstra monad has been introduced recently for capturing weakest precondition computations within the context of program verification, supported by a … ffc-2ps-spc-1m-sm10/125WebAbstract. The Dijkstra monad has been introduced recently for cap-turing weakest precondition computations within the context of program veri cation, supported by a … ffc2 intranetWebNov 2, 2015 · The Dijkstra monad captures functions from postconditions to preconditions. In Theorem 5 in the previous section we have seen that very little logical structure is needed to define the Dijkstra monad for a monad T. We proceed with the Hoare monad, and will see below that it requires—in contrast—non-trivial logical structure. denied credit equifax free report