Iowa Type Theory Commute

Measure Functions and Termination of STLC


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In this episode, I talk about what we should consider to be a measure function.  Such functions can be used to show termination of some process or program, by assigning a measure to each program, and showing that as the program computes, the measure decreases in some well-founded ordering.  But what should count as a measure function?  The context for this is RTA Open Problem 19, on showing termination for the simply typed lambda calculus using a measure function.

Let's call this the start of season 7, because it seems about time for that.

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Iowa Type Theory CommuteBy Aaron Stump

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