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More Inductive Types

More Inductive Types. Last Lecture. You can figure out "insert sort" yourself If you follow the recipe, carefully Recipe tells you: Think about base case Think about recursive case (and what to do with result of recursive call) Make a wish-list (e.g. "insert"), and repeat!

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More Inductive Types

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  1. More Inductive Types

  2. Last Lecture • You can figure out "insert sort" yourself • If you follow the recipe, carefully • Recipe tells you: • Think about base case • Think about recursive case (and what to do with result of recursive call) • Make a wish-list (e.g. "insert"), and repeat! • Remember this for current homework

  3. Today's Lecture • A short-hand for lists • Another inductive type: trees!

  4. List Shorthands • (cons 1 (cons 2 (cons 3 empty))) • = (list 123) • (cons (cons 1 (cons 2 (cons 3 empty))) empty) • = (list (list 1 2 3)) • (cons (list 1 2) (list 3 4)) • = (list (list 1 2) 3 4)

  5. A Type for Family Trees ; A family-tree-node (short: ftn) is either ; - empty; or ; - (make-child f m na da ec) ; where f and m are ftns, na ; and ec are symbols, and da is a ; number.

  6. Blue-eyed Ancestor ; blue-eyed-ancestor? : ftn  ->  boolean ; to determine whether ; a-ftree contains a child ; structure with 'blue in the ; eyes field

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