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arXiv · 1412.8739

Correctness and completeness of logic programs

Włodzimierz Drabent
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Abstract

We discuss proving correctness and completeness of definite clause logic programs. We propose a method for proving completeness, while for proving correctness we employ a method which should be well known but is often neglected. Also, we show how to prove completeness and correctness in the presence of SLD-tree pruning, and point out that approximate specifications simplify specifications and proofs. We compare the proof methods to declarative diagnosis (algorithmic debugging), showing that approximate specifications eliminate a major drawback of the latter. We argue that our proof methods reflect natural declarative thinking about programs, and that they can be used, formally or informally, in every-day programming.

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Włodzimierz Drabent. 2014-12-30. Correctness and completeness of logic programs. https://doi.org/10.1145/2898434

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