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By Robert Colomb

An introductory textual content aimed toward people with an undergraduate wisdom of database & info structures describing the origins of deductive database in Prolog, & then is going directly to examine the most deductive database paradigm - the datalog version.

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Parent(bill, peter). parent(bill, paul). parent(mary, peter). parent(mary, paul). parent(paul, John). parent(paul, sue). parent(sue, alice). parent(sue, eva). ancestor(bill, peter). ancestor(bill, paul). ancestor(mary, peter). ancestor(mary, paul). ancestor(paul, John). ancestor(paul, sue). ancestor(sue, alice). ancestor(sue, eva). ancestor(bill, alice). ancestor(bill, eva). ancestor(mary, alice). ancestor(mary, eva). The fact that a perfect model exists is important because it confirms that we can think about datalog programs in the same sort of way as we think about databases: as sets of tuples.

A DAG also has possibly many sources. 9, a, h and i are sources, while c, e and f are sinks of one graph, while nodes j and k are sources of the other, whose only sink is node l. 10 are sources, c and e are sinks), but not to undirected graphs, since every node in an undirected graph is part of a cycle. PROLOG AND DATABASES 33 The first special case considered above, the chain, is not commonly found as an independent data type, but is very often constructed in the course of processing more complex graphs.

A2: ancestor(Older, Younger) :- parent(Older, Middle), ancestor(Middle, Younger). We have M0= person(bill). parent(bill, peter). person(mary). parent(bill, paul). person(peter). parent(mary, peter). person(paul). parent(mary, paul). person(john). parent(paul, John). person(sue). parent(paul, sue). person(alice). parent(sue,alice). parent(eva). parent(sue, eva). T(M0)= ancestor(bill, peter). ancestor(bill, paul). ancestor(mary, peter). ancestor(mary, paul). ancestor(paul, John). ancestor(paul, sue).

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