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EPISODE · Mar 27, 2025 · 15 MIN

Introduction to the Finite Developments Theorem

from Iowa Type Theory Commute · host Aaron Stump

The finite developments theorem in pure lambda calculus says that if you select as set of redexes in a lambda term and reduce only those and their residuals (redexes that can be traced back as existing in the original set), then this process will always terminate.  In this episode, I discuss the theorem and why I got interested in it.

Episode metadata supplied by the publisher feed · Published Mar 27, 2025

What this episode covers

The finite developments theorem in pure lambda calculus says that if you select as set of redexes in a lambda term and reduce only those and their residuals (redexes that can be traced back as existing in the original set), then this process will always terminate. In this episode, I discuss the theorem and why I got interested in it.

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This episode is 15 minutes long.

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This episode was published on March 27, 2025.

What is this episode about?

The finite developments theorem in pure lambda calculus says that if you select as set of redexes in a lambda term and reduce only those and their residuals (redexes that can be traced back as existing in the original set), then this process will...

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