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3 . ( 1 0 points ) Consider a relation parent ( X , Y ) which means ' X ' is a parent of

3.(10 points) Consider a relation parent (X, Y) which means 'X' is a parent of 'Y'. (a)(5 points) Write all the facts (tuples) that describe the following tree (b)(5 points) Consider the following rules for defining (,): is an ancestor of if is a parent of . is an ancestor of if is a parent of some , and is an ancestor of . Write a datalog program and apply it to find all ancestors of all nodes in the above tree.

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