Consider the Datalog program P T (x) e(x), T(x) a(x,y) T(y) b(x,z) T(z) (a) Describe, in your own words, the kind of structures that the query hT,Pi recog nises (b) Compute the semi naive evaluation of P for the database D with the following facts e(1) e(2) e(6) a(3, 1) a(4, 3) a(5, 3) a(7, 5) b(3, 2) b(5, 3) b(7, 6) Specify for each newly derived fact which of the rule(s) will produce it at the given point in the derivation

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Question: Consider the Datalog program P: T (x) e(x), T(x) a(x,y)^T(y)^b(x,z)^T(z). (a) Describe, in your own words, the kind of structures that the query hT,Pi recog-

Consider the Datalog program P:

T (x) e(x), T(x) a(x,y)^T(y)^b(x,z)^T(z).

(a) Describe, in your own words, the kind of structures that the query hT,Pi recog- nises.
(b) Compute the semi-naive evaluation of P for the database D with the following

facts:

e(1) e(2) e(6) a(3, 1) a(4, 3) a(5, 3) a(7, 5) b(3, 2) b(5, 3) b(7, 6) Specify for each newly derived fact which of the rule(s) will produce it at the given

point in the derivation.

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