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EPISODE · Jan 10, 2020 · 10 MIN

Program Termination and the Curry-Howard Isomorphism

from Iowa Type Theory Commute · host Aaron Stump

For programs to make sense as proofs, they need to be terminating (cannot run forever), since otherwise you can write infinite loops that have any type.  Under Curry-Howard this means any formula is provable, which is one way to define inconsistency.  (And logics have to be consistent to be useful.)

Episode metadata supplied by the publisher feed · Published Jan 10, 2020

What this episode covers

For programs to make sense as proofs, they need to be terminating (cannot run forever), since otherwise you can write infinite loops that have any type. Under Curry-Howard this means any formula is provable, which is one way to define inconsistency. (And logics have to be consistent to be useful.)

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This episode was published on January 10, 2020.

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For programs to make sense as proofs, they need to be terminating (cannot run forever), since otherwise you can write infinite loops that have any type.  Under Curry-Howard this means any formula is provable, which is one way to define...

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