无穷组合归约系统:规范化归约策略
Infinitary Combinatory Reduction Systems: Normalising Reduction Strategies
摘要:
我们研究无穷组合归约系统(iCRS)的规范化归约策略。我们证明了所有的公平,outermost公平,和所需的公平的策略是规范化的正交,完全扩展的iCRS。这些事实适当地概括了一些结果规范化战略在一阶无穷重写,并提供了第一个例子规范化战略的无穷λ演算。
英文摘要:
We study normalising reduction strategies for infinitary Combinatory Reduction Systems (iCRSs). We prove that all fair, outermost-fair, and needed-fair strategies are normalising for orthogonal, fully-extended iCRSs. These facts properly generalise a number of results on normalising strategies in first-order infinitary rewriting and provide the first examples of normalising strategies for infinitary lambda calculus.
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