Category theorists invented monads in the 1960's to concisely express certain aspects of universal algebra. Functional programmers invented list comprehensions in the 1970's to concisely express certain programs involving lists. This paper shows how list comprehensions may be generalised to an arbitrary monad, and how the resulting programming feature can concisely express in a pure functional language some programs that manipulate state, handle exceptions, parse text, or invoke continuations. A new solution to the old problem of destructive array update is also presented. No knowledge of category theory is assumed.

We study Girard's Linear Logic from the point of view of giving a concrete computational interpretation of the logic, based on the Curry-Howard isomorphism. In the case of Intuitionistic Linear Logic, this leads to a refinement of the lambda calculus, giving finer control over order of evaluation and storage allocation, while maintaining the logical content of programs as proofs, and computation as cut-elimination.

This paper presents a new static type system for multi-threaded programs; well-typed programs in our system are guaranteed to be free of data races and deadlocks. Our type system allows programmers to partition the locks into a fixed number of equivalence classes and specify a partial order among the equivalence classes. The type checker then statically verifies that whenever a thread holds more than one lock, the thread acquires the locks in the descending order. Our system also allows...

Region-based memory management is an alternative to standard tracing garbage collection that makes potentially dangerous operations such as memory deallocation explicit but verifiably safe. In this article, we present a new compiler intermediate language, called the Capability Calculus, that supports region-based memory management and enjoys a provably safe type system. Unlike previous region-based type systems, region lifetimes need not be lexically scoped and yet the language may be checked for safety without complex analyses. Therefore, our type system may be deployed in settings such as extensible operating systems where both the performance and safety of untrusted code is important.

A type system withlin earity is useful for checking software protocols and resource man agemen t at compile time. Lin#"$"M y provides powerfulreason#)M about state chan ges, but at the price of restriction son aliasin g. The hard division between lin ear an dn on lin ear types forces the programmer to make a trade-off between checkin g a protocol on an object an# aliasin# the object. ost on erous is the restriction that an y type with alin ear component must itself be linear. Because of this, checking a protocolon an object imposes aliasin g restriction s on an y data structure that directly orin directly points to the object. We propose an#$ type system that reduces these restrictions with the adoption and focus constructs. Adoption safely allows a programmer to alias objects on which she is checkin g protocols, and focus allows the reverse. A programmer can alias data structures that point to linear objects and use focus for safe access to those objects. We discuss how we implemented these ideas in the Vault programming language.

Linear type systems permit programmers to deallocate or explicitly recycle memory, but they are severly restricted by the fact that they admit no aliasing. This paper describes a pseudo-linear type system that allows a degree of aliasing and memory reuse as well as the ability to define complex recursive data structures. Our type system can encode conventional linear data structures such as linear lists and trees as well as more sophisticated data structures including cyclic and doubly-linked lists and trees. In the latter cases, our type system is expressive enough to represent pointer aliasing and yet safely permit destructive operations such as object deallocation. We demonstrate the flexibility of our type system by encoding two common compiler optimizations: destination-passing style and Deutsch-Schorr-Waite or "link-reversal" traversal algorithms.

object encapsulation and enable local reasoning about program correctness in object-oriented languages. However, a type system that enforces strict object encapsulation is too constraining: it does not allow e#cient implementation of important constructs like iterators. This paper argues that the right way to solve the problem is to allow objects of classes defined in the same module to have privileged access to each other's representations; we show how to do this for inner classes. This approach allows programmers to express constructs like iterators and yet supports local reasoning about the correctness of the classes, because a class and its inner classes together can be reasoned about as a module. The paper also sketches how we use our variant of ownership types to enable e#cient software upgrades in persistent object stores.

Today's mainstream object-oriented compilers and tools do not support declaring and statically checking simple pre- and postconditions on methods and invariants on object representations. The main technical problem preventing static verification is reasoning about the sharing relationships among objects as well as where object invariants should hold. We have developed a programming model of typestates for objects with a sound modular checking algorithm. The programming model handles typical aspects of object-oriented programs such as downcasting, virtual dispatch, direct calls, and subclassing. The model also permits subclasses to extend the interpretation of typestates and to introduce additional typestates. We handle aliasing by adapting our previous work on practical linear types developed in the context of the Vault system. We have implemented these ideas in a tool called Fugue for specifying and checking typestates on Microsoft .NET-based programs.

How canweintegrate interaction into a purely declarative language? This tutorial describes a solution to this problem based on a monad. The solution has been implemented in the functional language Haskell and the declarative language Escher. Comparisons are given to other approaches to interaction based on synchronous streams, continuations, linear logic, and side effects.

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