TY - JOUR A1 - Anger, Christian A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - A Glimpse of Answer Set Programming Y1 - 2005 UR - http://www.cs.uni-potsdam.de/~konczak/Papers/ankolisc05.pdf SN - 0170-4516 ER - TY - JOUR A1 - Anger, Christian A1 - Konczak, Kathrin A1 - Linke, Thomas T1 - A system for non-monotonic reasoning under answer set semantics Y1 - 2001 SN - 3-540-42593-4 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - Alternative foundations for Reiter's default logic. Y1 - 2000 SN - 0004-3702 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - An approach to query-answering in Reiter's default logic and the underlying existence of extensions problem. Y1 - 1998 SN - 3-540-65141-1 ER - TY - JOUR A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - Default reasoning via blocking sets Y1 - 1999 ER - TY - JOUR A1 - Linke, Thomas T1 - Graph theoretical characterization and computation of answer sets Y1 - 2001 SN - 1-558-60777-3 SN - 1045-0823 ER - TY - JOUR A1 - Linke, Thomas T1 - Graph theoretical characterization and computation of answer sets Y1 - 2001 ER - TY - JOUR A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - Graphs and cologings for answer set programming : adridged report Y1 - 2004 SN - 3-540- 20721-x ER - TY - JOUR A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - Graphs and colorings for answer set programming N2 - We investigate the usage of rule dependency graphs and their colorings for characterizing and computing answer sets of logic programs. This approach provides us with insights into the interplay between rules when inducing answer sets. We start with different characterizations of answer sets in terms of totally colored dependency graphs that differ ill graph-theoretical aspects. We then develop a series of operational characterizations of answer sets in terms of operators on partial colorings. In analogy to the notion of a derivation in proof theory, our operational characterizations are expressed as (non-deterministically formed) sequences of colorings, turning an uncolored graph into a totally colored one. In this way, we obtain an operational framework in which different combinations of operators result in different formal properties. Among others, we identify the basic strategy employed by the noMoRe system and justify its algorithmic approach. Furthermore, we distinguish operations corresponding to Fitting's operator as well as to well-founded semantics Y1 - 2006 UR - http://www.cs.kuleuven.ac.be/~dtai/projects/ALP//TPLP/ U6 - https://doi.org/10.1017/S1471068405002528 SN - 1471-0684 ER - TY - JOUR A1 - Konczak, Kathrin A1 - Linke, Thomas A1 - Schaub, Torsten H. T1 - Graphs and colorings for answer set programming : abridged report Y1 - 2003 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/kolisch03a.pdf SN - 1613-0073 ER -