Nonmonotonic Existential Rules for Non-Tree-Shaped Ontological Modelling


Despoina Magka, Markus Krötzsch, Ian Horrocks

Nonmonotonic Existential Rules for Non-Tree-Shaped Ontological Modelling

Abstract. In this work, we consider function-free existential rules extended with nonmonotonic negation under a stable model semantics. We present new acyclicity and stratification conditions that identify a large class of rule sets having finite, unique stable models, and we show how the addition of constraints on the input facts can further extend this class. Checking these conditions is computationally feasible, and we provide tight complexity bounds. Finally, we demonstrate how these new methods allowed us to solve relevant reasoning problems over a real-world knowledge base from biochemistry using an off-the-shelf answer set programming engine.

Published at DL2013 (Workshop paper)

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Citation details


This contribution to the DL Workshop 2013 reports about the results published in the conference paper Computing Stable Models for Nonmonotonic Existential Rules. Please refer to this paper for further details.


Rule languages, nonmonotonic reasoning, stable models