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martin emma jenny tony olivia william john christopher steve david michael dorothy sophia PARENT(olivia, william). PARENT(olivia, emma). PARENT (tony, martin). PARENT (tony,olivia). PARENT (john, olivia). PARENT (john, steve). PARENT (jenny, tony). PARENT (david, tony). PARENT (michael, john). PARENT (dorothy, john). PARENT (sophia, jenny). PARENT (christopher, michael). (b) State a new rule named as SIBLING(X, Y) and construct a proof theoretic interpretation of this rule to find all siblings. (c) State a new rule named as DESCENDANT(X, Y) and construct a proof theoretic interpretation of this rule to find all descendants of Martin. Note DESCENDANT(X, Y) means Y is a descendant of X.

martin emma jenny tony olivia william john christopher steve david michael dorothy sophia PARENT(olivia, william). PARENT(olivia, emma). PARENT (tony, martin). PARENT (tony,olivia). PARENT (john, olivia). PARENT (john, steve). PARENT (jenny, tony). PARENT (david, tony). PARENT (michael, john). PARENT (dorothy, john). PARENT (sophia, jenny). PARENT (christopher, michael). (b) State a new rule named as SIBLING(X, Y) and construct a proof theoretic interpretation of this rule to find all siblings. (c) State a new rule named as DESCENDANT(X, Y) and construct a proof theoretic interpretation of this rule to find all descendants of Martin. Note DESCENDANT(X, Y) means Y is a descendant of X.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Consider that a database contains the following relations  PARENT(X, Y), and a relation BIRTH(X, B), where B is the birthdate of a person X. The following information is used for question (b), (c)  that we have the following family tree
martin emma jenny tony olivia william john christopher steve david michael dorothy sophia PARENT(olivia, william). PARENT(olivia, emma). PARENT (tony, martin). PARENT (tony,olivia). PARENT (john, olivia). PARENT (john, steve). PARENT (jenny, tony). PARENT (david, tony). PARENT (michael, john). PARENT (dorothy, john). PARENT (sophia, jenny). PARENT (christopher, michael). (b) State a new rule named as SIBLING(X, Y) and construct a proof theoretic interpretation of this rule to find all siblings. (c) State a new rule named as DESCENDANT(X, Y) and construct a proof theoretic interpretation of this rule to find all descendants of Martin. Note DESCENDANT(X, Y) means Y is a descendant of X.
Transcribed Image Text:martin emma jenny tony olivia william john christopher steve david michael dorothy sophia PARENT(olivia, william). PARENT(olivia, emma). PARENT (tony, martin). PARENT (tony,olivia). PARENT (john, olivia). PARENT (john, steve). PARENT (jenny, tony). PARENT (david, tony). PARENT (michael, john). PARENT (dorothy, john). PARENT (sophia, jenny). PARENT (christopher, michael). (b) State a new rule named as SIBLING(X, Y) and construct a proof theoretic interpretation of this rule to find all siblings. (c) State a new rule named as DESCENDANT(X, Y) and construct a proof theoretic interpretation of this rule to find all descendants of Martin. Note DESCENDANT(X, Y) means Y is a descendant of X.
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