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William Alvin Howard (born 1926) is a proof theorist best-known for his work demonstrating formal similarity between intuitionistic logic and the simply-typed lambda-calculus that has come to be known as the Curry-Howard correspondence. He has also been active in the theory of proof-theoretic ordinals. He earned his Ph.D. at the University of Chicago in 1956, where he was a student of Saunders Mac Lane.

The Howard ordinal (also known as the Bachmann-Howard ordinal) was named after him.

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