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Mark Jason Dominus: The road to epsilon-zero: Productive programs and well-founded orders

Previously: Ordinal numbers and basic set theory Ordinals as nim-heaps Nim always ends, even with infinite ordinals Infinite Nim as a coin-moving game Coin-moving games without the coins Previously we saw how to interpret the difficult-seeming ordinal as a particular ordering of the set of finite sequences of numbers, revealing what seemed like a scary monster as gentle and straightforward. Now we're going to take a sidetrack into one of my favorite topics, computation with infinite lists. I wrote about this for The Perl Journal in 1997 and then it turned into chapter 6 of Higher-Order Perl…

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