This note is about the relationship between two theories of negation as failure one based on program completion, the other based on stable models, or answer sets. Francois Fages showed that if a logic program satisfies a certain syntactic condition, which is now called "tightness," then its stable models can be characterized as the models of its com- pletion. We extend the definition of tightness, and Fages' theorem, to programs with nested expressions in the bodies of rules, and study tight logic programs containing the definition of the transitive closure of a predicate.

PS

Theory and Practice of Logic Programming, Vol. 3 (2003), pp. 499-518.

@Article{erd03, title={Tight Logic Programs}, author={Esra Erdem and Vladimir Lifschitz}, volume={3}, journal={Theory and Practice of Logic Programming}, pages={499-518}, url="http://www.cs.utexas.edu/users/ai-lab?erd03", year={2003} }