用于同步多方会话的精确子类型
Precise subtyping for synchronous multiparty sessions
摘要：
子类型的概念在理论和应用领域都有重要的作用：在lambda和并发演算以及程序设计语言中。健全性和完整性，一起被称为子类型的精确性，可以从两个不同的角度来考虑：操作和指称。前一种精确性最近在类型安全方面得到了发展，即当一个更大类型的项被期望时，一个更小类型的项的安全替换。后者的精确性是基于一个类型的外延，这是一个数学对象，它根据语言中其他表达式的外延来描述该类型的含义。本文的结果是一个同步多方会话演算的子类型的操作和指称的精确性。本文的创新之处在于引入了特征全局类型来证明运算完备性。
英文摘要：
The notion of subtyping has gained an important role both in theoretical and applicative domains: in lambda and concurrent calculi as well as in programming languages. The soundness and the completeness, together referred to as the preciseness of subtyping, can be considered from two different points of view: operational and denotational. The former preciseness has been recently developed with respect to type safety, i.e. the safe replacement of a term of a smaller type when a term of a bigger type is expected. The latter preciseness is based on the denotation of a type which is a mathematical object that describes the meaning of the type in accordance with the denotations of other expressions from the language. The result of this paper is the operational and denotational preciseness of the subtyping for a synchronous multiparty session calculus. The novelty of this paper is the introduction of characteristic global types to prove the operational completeness.
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