论文标题

代数效应的示意分子

A Diagrammatic Calculus for Algebraic Effects

论文作者

Lago, Ugo Dal, Gavazzo, Francesco

论文摘要

我们引入了一种新的图表符号,以表示(代数)有效计算的结果。我们的符号明确将计算过程中产生的效果与返回的值分开,这种方式将定义的扩展和纯计算上的结果扩展到有效的设置。此外,我们在图表上显示了许多代数和秩序理论定律,从而为代数效应的示意计算奠定了基础。我们在律师理论和通用效果方面为这种微积分奠定了正式的基础。

We introduce a new diagrammatic notation for representing the result of (algebraic) effectful computations. Our notation explicitly separates the effects produced during a computation from the possible values returned, this way simplifying the extension of definitions and results on pure computations to an effectful setting. Additionally, we show a number of algebraic and order-theoretic laws on diagrams, this way laying the foundations for a diagrammatic calculus of algebraic effects. We give a formal foundation for such a calculus in terms of Lawvere theories and generic effects.

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