A Rational Deconstruction of Landin’s SECD Machine

Abstract

AbstractLandin’s SECD machine was the first abstract machine for the λ-calculus viewed as a programming language. Both theoretically as a model of computation and practically as an idealized implementation, it has set the tone for the subsequent development of abstract machines for functional programming languages. However, and even though variants of the SECD machine have been presented, derived, and invented, the precise rationale for its architecture and modus operandi has remained elusive. In this article, we deconstruct the SECD machine into a λ-interpreter, i.e., an evaluation function, and we reconstruct λ-interpreters into a variety of SECD-like machines. The deconstruction and reconstructions are transformational: they are based on equational reasoning and on a combination of simple program transformations—mainly closure conversion, transformation into continuation-passing style, and defunctionalization.The evaluation function underlying the SECD machine provides a precise rationale for its architecture: it is an environment-based eval-apply evaluator with a callee-save strategy for the environment, a data stack of intermediate results, and a control delimiter. Each of the components of the SECD machine (stack, environment, control, and dump) is therefore rationalized and so are its transitions.The deconstruction and reconstruction method also applies to other abstract machines and other evaluation functions.KeywordsFunctional ProgrammingAbstract MachineDenotational SemanticFunction AbstractionFunctional CorrespondenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.