We present MultiJava, a backward-compatible extension to Java supporting open classes and symmetric multiple dispatch. Open classes allow one to add to the set of methods that an existing class supports without creating distinct subclasses or editing existing code. Unlike the “Visitor ” design pattern, open classes do not require advance planning, and open classes preserve the ability to add new subclasses modularly and safely. Multiple dispatch offers several well-known advantages over the single dispatching of conventional object-oriented languages, including a simple solution to some kinds of “binary method ” problems. MultiJava’s multiple dispatch retains Java’s existing class-based encapsulation properties. We adapt previous theoretical work to allow compilation units to be statically typechecked modularly and safely, ruling out any link-time or run-time type errors. We also present a novel compilation scheme that operates modularly and incurs performance overhead only where open classes or multiple dispatching are actually used. 1.

Scala provides a fusion between object-oriented and functional programming in a statically typed programming language. It is aimed at the construction of components and component systems. This paper gives an overview of the Scala language for readers who are familar with programming methods and programming language design.

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Multimethods offer several well-known advantages over the single dispatching of conventional object-oriented languages, including a simple solution to the binary method problem, a natural implementation of the strategy design pattern, and a form of open objects that enables easy addition of new operations to existing classes. However, previous work on statically typed multimethods whose arguments are treated symmetrically has required the whole program to be available in order to perform typechecking. We describe Dubious, a simple core language including first-class generic functions with symmetric multimethods, a classless object model, and modules that can be separately typechecked. We identify two sets of restrictions that ensure modular type safety for Dubious as well as an interesting intermediate point between these two. We have proved each of these modular type systems sound.

MultiJava is a conservative extension of the Java programming language that adds symmetric multiple dispatch and open classes. Among other benefits, multiple dispatch provides a solution to the binary method problem. Open classes provide a solution to the extensibility problem of object-oriented programming languages, allowing the modular addition of both new types and new operations to an existing type hierarchy. This article illustrates and motivates the design of MultiJava and describes its modular static typechecking and modular compilation strategies. Although MultiJava extends Java, the key ideas of the language design are applicable to other object-oriented languages, such as C # and C++, and even, with some modifications, to functional languages such as ML. This article also discusses the variety of application domains in which MultiJava has been successfully used by others, including pervasive computing, graphical user interfaces, and compilers.

Objective ML is a small practical extension to ML with objects and top level classes. It is fully compatible with ML; its type system is based on ML polymorphism, record types with polymorphic access, and a better treatment of type abbreviations. Objective ML allows for most features of object-oriented languages including multiple inheritance, methods returning self and binary methods as well as parametric classes. This demonstrates that objects can be added to strongly typed languages based on ML polymorphism.

We present a general framework HM(X) for type systems with constraints. The framework stays in the tradition of the Hindley/Milner type system. Its type system instances are sound under a standard untyped compositional semantics. We can give a generic type inference algorithm for HM(X) so that, under sufficient conditions on X, type inference will always compute the principal type of a term. We discuss instances of the framework that deal with polymorphic records, equational theories and subtypes.

Cecil is a purely object-oriented language intended to support rapid construction of high-quality, extensible software. Cecil combines multi-methods with a simple classless object model, a kind of dynamic inheritance, modules, and optional static type checking. Instance variables in Cecil are accessed solely through messages, allowing instance variables to be replaced or overridden by methods and vice versa. Cecil’s predicate objects mechanism allows an object to be classified automatically based on its run-time (mutable) state. Cecil’s static type system distinguishes between subtyping and code inheritance, but Cecil enables these two graphs to be described with a single set of declarations, streamlining the common case where the two graphs are parallel. Cecil includes a fairly flexible form of parameterization, including explicitly parameterized objects, types, and methods, as well as implicitly parameterized methods related to the polymorphic functions commonly found in functional languages. By making type declarations optional, Cecil aims to allow mixing of and migration between exploratory and production programming styles. Cecil supports a module mechanism that enables independently-developed subsystems to be encapsulated, allowing them to be type-checked and reasoned about in isolation despite the presence of multi-methods and subclassing. Objects can be extended externally with additional

One promising approach for adding object-oriented (OO) facilities to functional languages like ML is to generalize the existing datatype and function constructs to be hierarchical and extensible, so that datatype variants simulate classes and function cases simulate methods. This approach allows existing datatypes to be easily extended with both new operations and new variants, resolving a longstanding conflict between the functional and OO styles. However, previous designs based on this approach have been forced to give up modular typechecking, requiring whole-program checks to ensure type safety. We describe Extensible ML (EML), an ML-like language that supports hierarchical, extensible datatypes and functions while preserving purely modular typechecking. To achieve this result, EML’s type system imposes a few requirements on datatype and function extensibility, but EML is still able to express both traditional functional and OO idioms. We have formalized a core version of EML and proven the associated type system sound, and we have developed a prototype

We present a static type system for object-oriented languages which strives to provide static typechecking without resorting to dynamic "type casts," restricting what code the programmer can write, or being too verbose or difficult to use in practice. The type system supports bounded parametric polymorphism where the bounds on type variables can be expressed using general recursive subtype or signature constraints, with F-bounded polymorphism and covariant type parameters being special cases. We implemented this type system in the Cecil language and used it to successfully typecheck a 100,000-line Cecil program, the Vortex optimizing compiler. Our experience was very good: dynamically-typed code needed very little rewriting. We also observed several common programming situations that presented a challenge for our type system. We discuss these situations and ways to typecheck them statically. Keywords: Language design, static type systems, F-bounded polymorphism, where clauses, type constraints, type inference, binary methods, Cecil