@article{BesnardSchaubTompitsetal.2003, author = {Besnard, Philippe and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {Paraconsistent reasoning via quantified boolean formulas : Part II: Circumscribing inconsistent theories}, isbn = {3-540- 409494-5}, year = {2003}, language = {en} } @article{BesnardSchaubTompitsetal.2002, author = {Besnard, Philippe and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {Paraconsistent reasoning via quantified boolean formulas}, isbn = {3-540-44190-5}, year = {2002}, language = {en} } @article{DelgrandeSchaubTompitsetal.2001, author = {Delgrande, James Patrick and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {On computing solutions to belief change scenarios}, isbn = {3-540- 42464-4}, year = {2001}, language = {en} } @article{DelgrandeSchaubTompitsetal.2004, author = {Delgrande, James Patrick and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {On Computing belief change operations using quantifield boolean formulas}, issn = {0955-792X}, year = {2004}, abstract = {In this paper, we show how an approach to belief revision and belief contraction can be axiomatized by means of quantified Boolean formulas. Specifically, we consider the approach of belief change scenarios, a general framework that has been introduced for expressing different forms of belief change. The essential idea is that for a belief change scenario (K, R, C), the set of formulas K, representing the knowledge base, is modified so that the sets of formulas R and C are respectively true in, and consistent with the result. By restricting the form of a belief change scenario, one obtains specific belief change operators including belief revision, contraction, update, and merging. For both the general approach and for specific operators, we give a quantified Boolean formula such that satisfying truth assignments to the free variables correspond to belief change extensions in the original approach. Hence, we reduce the problem of determining the results of a belief change operation to that of satisfiability. This approach has several benefits. First, it furnishes an axiomatic specification of belief change with respect to belief change scenarios. This then leads to further insight into the belief change framework. Second, this axiomatization allows us to identify strict complexity bounds for the considered reasoning tasks. Third, we have implemented these different forms of belief change by means of existing solvers for quantified Boolean formulas. As well, it appears that this approach may be straightforwardly applied to other specific approaches to belief change}, language = {en} } @article{LinkeTompitsWoltran2004, author = {Linke, Thomas and Tompits, Hans and Woltran, Stefan}, title = {On Acyclic and head-cycle free nested logic programs}, isbn = {3-540-22671-01}, year = {2004}, language = {en} } @article{LinkeTompitsWoltran2004, author = {Linke, Thomas and Tompits, Hans and Woltran, Stefan}, title = {On acyclic and head-cycle free nested logic programs}, year = {2004}, language = {en} } @article{BrainGebserPuehreretal.2007, author = {Brain, Martin and Gebser, Martin and P{\"u}hrer, J{\"o}rg and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {Debugging ASP programs by means of ASP}, isbn = {978-3-540- 72199-4}, year = {2007}, language = {en} } @article{GebserSchaubTompitsetal.2007, author = {Gebser, Martin and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {Alternative characterizations for program equivalence under aswer-set semantics : a preliminary report}, year = {2007}, language = {en} } @article{PearceSarsakovSchaubetal.2002, author = {Pearce, David and Sarsakov, Vladimir and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {A polynomial translation of logic programs with nested expressions into disjunctive logic programs : preliminary report}, year = {2002}, language = {en} } @article{PearceSarsakovSchaubetal.2002, author = {Pearce, David and Sarsakov, Vladimir and Schaub, Torsten H. and Tompits, Hans and Woltran, Stefan}, title = {A polynomial translation of logic programs with nested expressions into disjunctive logic programs}, isbn = {3-540-43930-7}, year = {2002}, language = {en} }