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 monads can be derived “for free” by applying a continuation-passing style (CPS) translation to the standard monadic definitions of the underlying computational effects. 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 ideas in EMF*, a new dependently typed calculus, validating it via both formal proof and a prototype implementation within F*. Besides equipping F* with a more uniform and extensible effect system, EMF* enables a novel mixture of intrinsic and extrinsic proofs within F*.
Thu 19 JanDisplayed time zone: Amsterdam, Berlin, Bern, Rome, Stockholm, Vienna change
14:20 - 16:00
|Type Directed Compilation of Row-Typed Algebraic Effects|
Daan Leijen Microsoft Research
|Do be do be do|
|Dijkstra Monads for Free|
Danel Ahman University of Edinburgh, Cătălin Hriţcu Inria Paris, Kenji Maillard Inria Paris, ENS Paris, and Microsoft Research, Guido Martínez CIFASIS-CONICET, Argentina, Gordon Plotkin , Jonathan Protzenko Microsoft Research, Aseem Rastogi Microsoft Research India, Nikhil Swamy Microsoft ResearchPre-print
|Stateful Manifest Contracts|