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A simple proof technique for certain parametricity results

机译:某种参数结果的简单证明技术

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Many properties of parametric,polymorphic functins can be determiend simply by iinspection fo their tyeps.Such results are usually proven using Reynolds's parametricity theorem.However,Reynolds's theorem cna be difficult to show in some settings,particularly ones involving ocmputational effects.I present an alternative thecnique for proving some parametericity results.This technique is considerabley simpler and easily geernalizes to effectful settings.it wroks by instantiating polymorphic functions with singleton types that fully specify the behavior of the functions.using htis techique,I show that callers' stacks re protected from corruption during function calls in Typed Assembly language programs.
机译:Parametric的许多属性只能通过IINSPection来确定他们的TYEPS.SUCH结果通常是使用Reynolds的Parametricity定理证明的。然而,雷诺兹的定理CNA难以在一些设置中展示,特别是涉及电机效应的定理CNA。我呈现出替代品用于证明一些参数性结果。这项技术可观更简单,并且容易地GEENALIZE通过实例化与单例类型的多态函数来实现完全指定函数的行为的多态功能。HTIS Techique,我展示了呼叫者的堆栈受到保护在键入的汇编语言程序中函数调用期间的损坏。

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