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EPISODE · Mar 5, 2021 · 10 MIN

Normal terms are typable with intersection types

from Iowa Type Theory Commute · host Aaron Stump

I sketch the argument that pure lambda terms in normal form are typable using intersection types.  This completes the argument started in the previous episode, that intersection types are complete for normalizing terms: normal forms are typable, and typing is preserved by beta-expansion.  Hence any normalizing term is typable (since it reduces to a normal form by definition, and from this normal form we can walk typing back to the term).

Episode metadata supplied by the publisher feed · Published Mar 5, 2021

What this episode covers

I sketch the argument that pure lambda terms in normal form are typable using intersection types. This completes the argument started in the previous episode, that intersection types are complete for normalizing terms: normal forms are typable, and typing is preserved by beta-expansion. Hence any normalizing term is typable (since it reduces to a normal form by definition, and from this normal form we can walk typing back to the term).

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This episode is 10 minutes long.

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This episode was published on March 5, 2021.

What is this episode about?

I sketch the argument that pure lambda terms in normal form are typable using intersection types.  This completes the argument started in the previous episode, that intersection types are complete for normalizing terms: normal forms are typable, and...

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