Unlike the Moon, the dark side of interval temporal logics is the one we usually see: their ubiquitous undesirability. Identifying minimal undecidable interval logics is thus a natural and important issue in the research agenda in the area. The decidability status of a logic often depends on the class of models (in our case, the class of interval structures)in which it is interpreted. In this paper, we have identified several new minimal undecidable logics amongst the fragments of Halpern-Shoham logic HS, including the logic of the overlaps relation, over the classes of all and finite linear orders, as well as the logic of the meet and subinterval relations, over the class of dense linear orders. Together with previous undecid ability results, this work contributes to delineate the border of the dark side of interval temporal logics quite sharply.
|Title of host publication||2011 Eighteenth International Symposium on Temporal Representation and Reasoning (TIME)|
|Publication status||Published - 2011|
|Event||18th International Symposium on Temporal Representation and Reasoning - Lübeck, Germany|
Duration: 12 Sep 2011 → 14 Sep 2011
Conference number: 18
|Conference||18th International Symposium on Temporal Representation and Reasoning|
|Period||12/09/2011 → 14/09/2011|