src/HOL/Data_Structures/Tree2.thy
author nipkow
Tue, 23 Feb 2016 16:25:08 +0100
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theory Tree2
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imports Main
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begin
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datatype ('a,'b) tree =
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  Leaf ("\<langle>\<rangle>") |
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  Node 'b "('a,'b)tree" 'a "('a,'b) tree" ("(1\<langle>_,/ _,/ _,/ _\<rangle>)")
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fun inorder :: "('a,'b)tree \<Rightarrow> 'a list" where
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"inorder Leaf = []" |
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"inorder (Node _ l a r) = inorder l @ a # inorder r"
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fun height :: "('a,'b) tree \<Rightarrow> nat" where
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"height Leaf = 0" |
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"height (Node _ l a r) = max (height l) (height r) + 1"
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end