A polarized version of Girard, Scedrov and Scott's Bounded Linear Logic is introduced and its normalization properties studied. Following Laurent, the logic naturally gives rise to a type system for the λμ-calculus, whose derivations reveal bounds on the time complexity of the underlying term. This is the first example of a type system for the λμ-calculus guaranteeing time complexity bounds for typable programs.
展开▼
机译:介绍了吉拉德(Girard),希德罗夫(Scedrov)和斯科特(Scott)的有界线性逻辑(Bounded Linear Logic)的极化版本,并研究了其归一化特性。遵循Laurent,逻辑自然产生了λμ演算的类型系统,其推导揭示了底层项时间复杂性的界限。这是用于λμ演算的类型系统的第一个示例,该系统保证了可键入程序的时间复杂度范围。
展开▼