@article {3152453, title = {Two adaptive logics of norm-propositions}, journal = {JOURNAL OF APPLIED LOGIC}, volume = {11}, number = {2}, year = {2013}, pages = {147{\textendash}168}, abstract = {

We present two defeasible logics of norm-propositions (statements about norms) that (i) consistently allow for the possibility of normative gaps and normative conflicts, and (ii) map each premise set to a sufficiently rich consequence set. In order to meet (i), we define the logic LNP, a conflict- and gap-tolerant logic of norm-propositions capable of formalizing both normative conflicts and normative gaps within the object language. Next, we strengthen LNP within the adaptive logic framework for non-monotonic reasoning in order to meet (ii). This results in the adaptive logics LNPrLNPr and LNPmLNPm, which interpret a given set of premises in such a way that normative conflicts and normative gaps are avoided ‘whenever possible’. LNPrLNPr and LNPmLNPm are equipped with a preferential semantics and a dynamic proof theory.

}, issn = {1570-8683}, doi = {http://dx.doi.org/10.1016/j.jal.2013.02.001}, author = {Beirlaen, Mathieu and Stra{\ss}er, Christian} }