Oblivious and Semi-Oblivious Boundedness for Existential Rules

International audienceWe study the notion of boundedness in the contextof positive existential rules, that is, whether thereexists an upper bound to the depth of the chase pro-cedure, that is independent from the initial instance.By focussing our attention on the oblivious and thesemi-oblivious chase variants, we give a character-ization of boundedness in terms of FO-rewritabilityand chase termination. We show that it is decidableto recognize if a set of rules is bounded for several classes and outline the complexity of the problem