生产者效应系统的顺序语义

R. Tate
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引用次数: 34

摘要

效果是编程语言的基础。甚至lambda演算也有影响,因此这两种著名的求值策略产生了不同的语义。因此,已经进行了大量的研究来提高我们对影响的理解。自从Moggi在他的计算lambda演算中引入了单子之后,进一步的推广被设计成形式化日益复杂的计算效果,比如索引单子、分层单子和参数化单子。这种继承促使我们尽可能确定最普遍的形式化。在寻找这种形式化的过程中,我们遇到了许多意外,例如箭头的不足,以及许多意想不到的见解,例如将效果视为整个系统的一个小组件而不仅仅是一个孤立的特性的重要性。本文提出了生产者效应系统的语义形式化,我们称之为生产者效应系统,并通过只关注有效计算的顺序组合证明了它的最大通用性,从而保证了现有的一元技术是生产者的专门化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The sequential semantics of producer effect systems
Effects are fundamental to programming languages. Even the lambda calculus has effects, and consequently the two famous evaluation strategies produce different semantics. As such, much research has been done to improve our understanding of effects. Since Moggi introduced monads for his computational lambda calculus, further generalizations have been designed to formalize increasingly complex computational effects, such as indexed monads followed by layered monads followed by parameterized monads. This succession prompted us to determine the most general formalization possible. In searching for this formalization we came across many surprises, such as the insufficiencies of arrows, as well as many unexpected insights, such as the importance of considering an effect as a small component of a whole system rather than just an isolated feature. In this paper we present our semantic formalization for producer effect systems, which we call a productor, and prove its maximal generality by focusing on only sequential composition of effectful computations, consequently guaranteeing that the existing monadic techniques are specializations of productors.
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