A Proof Strategy Language and Proof Script Generation for Isabelle/HOL

We introduce a language, PSL, designed to capture high level proof strategies in Isabelle/HOL. Given a strategy and a proof obligation, PSL's runtime system generates and combines various tactics to explore a large search space with low memory usage. Upon success, PSL generates an efficient proof script, which bypasses a large part of the proof search. We also present PSL's monadic interpreter to show that the underlying idea of PSL is transferable to other ITPs.Comment: This paper has been submitted to CADE2

Effect Capabilities For Haskell

International audienceComputational effects complicate the tasks of reasoning about and maintaining software, due to the many kinds of interferences that can occur. While different proposals have been formulated to alleviate the fragility and burden of dealing with specific effects, such as state or exceptions, there is no prevalent robust mechanism that addresses the general interference issue. Build- ing upon the idea of capability-based security, we propose effect capabilities as an effective and flexible manner to control monadic effects and their interfer- ences. Capabilities can be selectively shared between modules to establish secure effect-centric coordination. We further refine capabilities with type-based per- mission lattices to allow fine-grained decomposition of authority. We provide an implementation of effect capabilities in Haskell, using type classes to establish a way to statically share capabilities between modules, as well as to check proper access permissions to effects at compile time. We exemplify how to tame effect interferences using effect capabilities, by treating state and exceptions

Effect Capabilities For Haskell

International audienceComputational effects complicate the tasks of reasoning about and maintaining software, due to the many kinds of interferences that can occur. While different proposals have been formulated to alleviate the fragility and burden of dealing with specific effects, such as state or exceptions, there is no prevalent robust mechanism that addresses the general interference issue. Build- ing upon the idea of capability-based security, we propose effect capabilities as an effective and flexible manner to control monadic effects and their interfer- ences. Capabilities can be selectively shared between modules to establish secure effect-centric coordination. We further refine capabilities with type-based per- mission lattices to allow fine-grained decomposition of authority. We provide an implementation of effect capabilities in Haskell, using type classes to establish a way to statically share capabilities between modules, as well as to check proper access permissions to effects at compile time. We exemplify how to tame effect interferences using effect capabilities, by treating state and exceptions

Memoizing a monadic mixin DSL

Modular extensibility is a highly desirable property of a domain-specific language (DSL): the ability to add new features without affecting the implementation of existing features. Functional mixins (also known as open recursion) are very suitable for this purpose. We study the use of mixins in Haskell for a modular DSL for search heuristics used in systematic solvers for combinatorial problems, that generate optimized C++ code from a high-level specification. We show how to apply memoization techniques to tackle performance issues and code explosion due to the high recursion inherent to the semantics of combinatorial search. As such heuristics are conventionally implemented as highly entangled imperative algorithms, our Haskell mixins are monadic. Memoization of monadic components causes further complications for us to deal with

Towards modular compilers for effects

Compilers are traditionally factorised into a number of separate phases, such as parsing, type checking, code generation, etc. However, there is another potential factorisation that has received comparatively little attention: the treatment of separate language features, such as mutable state, input/output, exceptions, concurrency and so forth. In this article we focus on the problem of modular compilation, in which the aim is to develop compilers for separate language features independently, which can then be combined as required. We summarise our progress to date, issues that have arisen, and further wor

Supermonads: one notion to bind them all

Several popular generalizations of monads have been implemented in Haskell. Unfortunately, because the shape of the associated type constructors do not match the standard Haskell monad interface, each such implementation provides its own type class and versions of associated library functions. Furthermore, simultaneous use of different monadic notions can be cumbersome as it in general is necessary to be explicit about which notion is used where. In this paper we introduce supermonads: an encoding of monadic notions that captures several different generalizations along with a version of the standard library of monadic functions that work uniformly with all of them. As standard Haskell type inference does not work for supermonads due to their generality, our supermonad implementation is accompanied with a language extension, in the form of a plugin for the Glasgow Haskell Compiler (GHC), that allows type inference for supermonads, obviating the need for manual annotations

Monadic parser combinators

In functional programming, a popular approach to building recursive descent parsers is to model parsers as functions, and to define higher-order functions (or combinators) that implement grammar constructions such as sequencing, choice, and repetition. Such parsers form an instance of a monad, an algebraic structure from mathematics that has proved useful for addressing a number of computational problems. The purpose of this report is to provide a step-by-step tutorial on the monadic approach to building functional parsers, and to explain some of the benefits that result from exploiting monads. No prior knowledge of parser combinators or of monads is assumed. Indeed, this report can also be viewed as a first introduction to the use of monads in programming

Effective Aspects: A Typed Monadic Embedding of Pointcuts and Advice

International audienceAspect-oriented programming(AOP) aims to enhance modularity and reusability in software systems by offering an abstraction mechanism to deal with crosscutting concerns. However, in most general-purpose aspect languages aspects have almost unrestricted power, eventually conflicting with these goals. In this work we present Effective Aspects: a novel approach to embed the point- cut/advice model of AOP in a statically-typed functional programming language like Haskell. Our work extends EffectiveAdvice, by Oliveira, Schrijvers and Cook; which lacks quantification, and explores how to exploit the monadic setting in the full pointcut/advice model. Type soundness is guaranteed by exploiting the underlying type system, in particular phantom types and a new anti-unification type class. Aspects are first-class, can be deployed dynamically, and the pointcut language is extensible, therefore combining the flexibility of dynamically-typed aspect languages with the guarantees of a static type system. Monads enables us to directly reason about computational effects both in aspects and base programs using traditional monadic techniques. Using this we extend Aldrich's notion of Open Modules with effects, and also with protected pointcut interfaces to external advising. These restrictions are enforced statically using the type system. Also, we adapt the techniques of EffectiveAdvice to reason about and enforce control flow properties. Moreover, we show how to control effect interference us- ing the parametricity-based approach of EffectiveAdvice. However this approach falls short when dealing with interference between multiple aspects. We propose a different approach using monad views, a recently developed technique for han- dling the monad stack. Finally, we exploit the properties of our monadic weaver to enable the modular construction of new semantics for aspect scoping and weaving. These semantics also benefit fully from the monadic reasoning mechanisms present in the language. This work brings type-based reasoning about effects for the first time in the pointcut/advice model, in a framework that is both expressive and extensible; thus allowing development of robust aspect-oriented systems as well as being a useful research tool for experimenting with new aspect semantics