1. Work out two examples for hyperresolution where the nucleus has at least four literals. 2. Write.

1. Work out two examples for hyperresolution where
the nucleus has at least four literals.

2. Write a demodulator for sum that
would cause clauses of the form equal(ans, sum(5, sum(6, minus(6)))) to be
reduced to equal(ans,
sum(5, 0)).
Write a further demodulator to reduce this
last result to equal(ans,
5).

3. Pick a canonical set of six family relations.
Write demodulators to reduce alternative forms of relations to the set. For
example, your mothers brother is uncle.

4. Take the happy student problem and apply three of
the refutation strategies of Section 13.2.4 to its

1. Work out two examples for hyperresolution where
the nucleus has at least four literals.

2. Write a demodulator for sum that
would cause clauses of the form equal(ans, sum(5, sum(6, minus(6)))) to be
reduced to equal(ans,
sum(5, 0)).
Write a further demodulator to reduce this
last result to equal(ans,
5).

3. Pick a canonical set of six family relations.
Write demodulators to reduce alternative forms of relations to the set. For
example, your mothers brother is uncle.

4. Take the happy student problem and apply three of
the refutation strategies of Section 13.2.4 to its solution.

5. Put the following predicate calculus expression
in clause form: _ (X)(p(X) _ {_ (Y)[p(Y) _ p(f(X,Y))]
_ _ _ (Y)[q(X,Y) _ p(Y)]})

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