Avoiding Deontic Explosion by Contextually Restricting Aggregation

Abstract. In this paper, we present an adaptive logic for deontic conflicts, called P2.1r , that is based on Goble’s logic SDLaPe—a bimodal extension of Goble’s logic P that invalidates aggregation for all prima facie obligations. The logic P2.1r has several advantages with respect to SDLaPe. For consistent sets of obligations it yields the same results as Standard Deontic Logic and for inconsistent sets of obligations, it validates aggregation “as much as possible”. It thus leads to a richer consequence set than SDLaPe. The logic P2.1r avoids Goble’s criticisms against other non-adjunctive systems of deontic logic. Moreover, it can handle all the ‘toy examples’ from the literature as well as more complex ones. Key words: conflict-tolerant deontic logic, non-adjunctive deontic logic, deontic explosion, defeasible deontic reasoning, adaptive logic

• Type: Conference
• Year: 2010
• Where: DEON
• Authors: Joke Meheus, Mathieu Beirlaen, Frederik Van De Putte
• Keywords: Adaptive Logic, Automated Reasoning, DEON 2010, Deontic Logic, Logic P2.1r