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Represent each of the following statements in predicate calculus using only the

ID: 3839842 • Letter: R

Question

Represent each of the following statements in predicate calculus using only the two- argument predicate names a_ kind _of, part_ the one-argument predicates pending and demonstrated, the connectives^and leftarrow, the negation symbol ~, parentheses, quantifiers, and variables and constants. Represent these literally and do not simplify. Quantify all variables. "If some part of a contract has been demonstrated, then it is pending." (b) Prove assuming that part (a) is true that c l is pending in the following case: c l is a contract, p l is part of c l, p2 is part of c l, and p l has been demonstrated.

Explanation / Answer

(a) If some part of a contract has been demonstrated, then it is pending.

There exist x ( part_of (x) and demonstrated (x) - > pending(x))

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