Logic + control: An example of program construction

Computer Science – Logic in Computer Science

Scientific paper

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12 pages, submitted to Theory and Practice of Logic Programming

Scientific paper

We construct a Prolog program using the Logic + Control principle of Kowalski. The program is the SAT solver of Howe and King; they presented it as an implementation of the DPLL algorithm, using logical variables, coroutining, and some extra-logical features of Prolog. We show how the program can be derived by adding control to a logic program. We discuss correctness, completeness, termination and non-floundering of the program. In particular, we prove correctness and completeness of the underlying logic program. The presented proof methods are of separate interest.

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