Algebraic effects are computational effects that can be described with a set of basic operations and equations between them. As many interesting effect handlers do not respect these equations, most approaches assume a trivial theory, sacrificing both reasoning power and safety. We present an alternative approach where the type system tracks equations that are observed in subparts of the program, yielding a sound and flexible logic, and paving a way for practical optimisations and reasoning tools.

中文翻译：

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局部代数效应理论

代数效应是计算效应，可以用一组基本运算和它们之间的方程来描述。由于许多有趣的效果处理程序不尊重这些等式，因此大多数方法都假设一个琐碎的理论，牺牲了推理能力和安全性。我们提出了一种替代方法，其中类型系统跟踪在程序的子部分中观察到的方程，产生合理而灵活的逻辑，并为实际优化和推理工具铺平道路。