Programming in Tabled Prolog (XSB Prolog) by David S. Warren

By David S. Warren

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Extra info for Programming in Tabled Prolog (XSB Prolog)

Sample text

This guarantees total correctness for the transitive closure definition (over finite graphs). Actually, even more can be said: OLDT terminates for all queries to programs for which only a finite portion of the minimal model is looked at; that is, for all programs with the bounded term size property (BTS). BTS is slightly circular, and undecidable, but to me intuitively says that any finitary, constructive definition will terminate. e. e. sets. e. e. sets. That is, we leave the realm of the computable sets.

This is hardly an attractive alternative for Prolog implementors or programmers. , the fixpoint semantics) is better than the completion semantics for logic programming. I think the completion semantics is a bug, which should be fixed, and it should be fixed by taking the fixpoint semantics. There are those who either don't think this is a bug, or don't think that this is a reasonable fix. I certainly accept that the point is arguable. Going to the fixpoint semantics is a big step for at least two reasons: Objection 1: It violates a principle dear to the hearts of some theoretically inclined logic programmers, that the meaning of a program consists of the logical implications of the theory of the formulas making up the program (or a simple transformation of them).

Tca(X,Y) :- a(X,Z), tca(Z,Y). Prolog programmers know that this definition is fine when the predicate ``a'' stands for ``parent'', and then ``tca'' is ``ancestor''. But what happens if ``a'' is defined by the following facts? a(1,1). a(2,1). Consider what happens when we ask the query: :- a(1,2). Prolog (that is SLD resolution) goes into an infinite loop. Are we as programmers happy? Do we say that since it hasn't returned, it must mean that you can't get to 2 from 1 in this graph? Not at all. We turn back to fix the program, probably modifying it by adding a loop-check.

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