Deductive Databases and Their Applications by Robert Colomb

Deductive Databases and Their Applications by Robert Colomb

By Robert Colomb

An introductory textual content geared 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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Its source is its first argument, and its target its second. 7 A chain object type, with two chain objects. 8 A tree object type, with two tree objects. 9 Directed acyclic graph object type, with two DAGs. There are many special forms of graphs. 6) and by additional predicates. We will consider a few generally useful cases: chain, tree, directed acyclic graph, directed graph and undirected graph. 7. The chain condition is enforced by the uniqueness constraints on the arc relationship. Notice that the derived relationship is many-to-many even though the arc relationship is one-to-one.

Ancestor(mary, peter). ancestor(mary, paul). ancestor(paul, John). ancestor(paul, sue). DATALOG AND BOTTOM-UP EVALUATION 39 ancestor(sue, alice). ancestor(sue, eva). M1=M0 T(M0) T(M1)= ancestor(bill, John). ancestor(bill, sue). ancestor(mary, John). ancestor(mary, sue). ancestor(paul, alice). ancestor(paul, eva). plus the tuples in T(M0) M2=M1 T(M1) T(M2)= ancestor(bill, alice). ancestor(bill, eva). ancestor(mary, alice). ancestor(mary, eva). plus the tuples in T(M1) M3=M2 T(M2) T(M3) is only the tuples in T(M2) M4=M3 T(M3)=M3 Notice that in the example we eventually reach a point where T does not add any tuples to the database.

Two useful concepts in directed graphs are source and sink. A source is a node which is the source of arcs but the target of none, while a sink is a node which is the target of arcs but the source of none. 7 are anchors of one chain, while e and g are anchors of the other). In a tree, there is one source (the root) and possibly many sinks (the leaves). 8, node a is a root, while nodes c, e and f are leaves. Similarly, node g is a root, and nodes h and i are leaves. A DAG also has possibly many sources.

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