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schoolwork for a course on untyped lambda calculus

EXAMPLE:

λ> t9
(λa.λb.(a (a (a b))) λc.λd.(c (c d)))
λ> simplifyIO t9
(λa.λb.(a (a (a b))) λc.λd.(c (c d)))
λb.(λc.λd.(c (c d)) (λc.λd.(c (c d)) (λc.λd.(c (c d)) b)))
λb.λd.(λd.(λd.(b (b d)) (λd.(b (b d)) d)) (λd.(λd.(b (b d)) (λd.(b (b d)) d)) d))
λb.λd.(b (b (b (b (b (b (b (b d))))))))
λb.λd.(b (b (b (b (b (b (b (b d))))))))

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Untyped Lambda calculus implementation in Haskell

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