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 - Konczak, Kathrin A1 - Vogel, Ralf T1 - Abduction and Preferences in Linguistics Y1 - 2005 UR - http://www.cs.uni-potsdam.de/~konczak/Papers/konvog05a.pdf ER - TY - JOUR A1 - Konczak, Kathrin A1 - Vogel, Ralf T1 - Abduction and preferences in linguistics : Extended abstract Y1 - 2005 UR - http://www.cs.uni-potsdam.de/~konczak/Papers/konvog05b.pdf SN - 0302-9743 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 - TY - JOUR A1 - Konczak, Kathrin A1 - Schaub, Torsten H. A1 - Linke, Thomas T1 - Graphs and colorings for answer set programming with preferences N2 - The integration of preferences into answer set programming constitutes an important practical device for distinguishing certain preferred answer sets from non-preferred ones. To this end, we elaborate upon rule dependency graphs and their colorings for characterizing different preference handling strategies found in the literature. We start from a characterization of (three types of) preferred answer sets in terms of totally colored dependency graphs. In particular, we demonstrate that this approach allows us to capture all three approaches to preferences in a uniform setting by means of the concept of a height function. In turn, we exemplarily develop an operational characterization of preferred answer sets in terms of operators on partial colorings for one particular strategy. In analogy to the notion of a derivation in proof theory, our operational characterization is expressed as a (non-deterministically formed) sequence of colorings, gradually turning an uncolored graph into a totally colored one Y1 - 2003 SN - 0169-2968 ER - TY - JOUR A1 - Konczak, Kathrin A1 - Schaub, Torsten H. A1 - Linke, Thomas T1 - Graphs and colorings for answer set programming with prefernces : preliminary report Y1 - 2003 UR - http://www.cs.uni-potsdam.de/wv/pdfformat/koschli03a.pdf SN - 1613-0073 ER - TY - JOUR A1 - Linke, Thomas A1 - Anger, Christian A1 - Konczak, Kathrin T1 - More on nomore Y1 - 2002 SN - 3-540-44190-5 ER -