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CP5520: Advanced Databases and Applications Assignment, JCU, Singapore Construct either a model-theoretic interpretation or a proof-theoretic interpretation of the above rules using
University James Cook University (JCU)
Subject CP5520: Advanced Databases and Applications
Posted on: 14th Jun 2023

CP5520: Advanced Databases and Applications Assignment, JCU, Singapore Construct either a model-theoretic interpretation or a proof-theoretic interpretation of the above rules using

Deductive Database

Consider a deductive database with the following rules:

Advanced Databases and Applications

Notice that PARENT(X, Y) means that X and Y are human beings and Y is the (biological) parent of X; ANCESTOR(X, Y) means that Y is the ancestor of X.

Consider the following fact base:

PARENT(john, steve), PARENT(john, olivia), PARENT(olivia, emma), PARENT(olivia, william).

  • Construct either a model-theoretic interpretation or a proof-theoretic interpretation of the above rules using the given facts.

Consider that a database contains the following relations PARENT(X, Y), and a relation BIRTH(X, B), where B is the birth date of a person X.

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The following information is used for questions (b), (c), and (d).
Assume that we have the following family tree:

Advanced Databases and Applications

  • State a new rule named SIBLING(X, Y) and construct a proof-theoretic interpretation of this rule to find all siblings.
  • 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.
  • Given the following rules:
    Advanced Databases and Applications

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