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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