Publications in Scientific Journals:

M. Hermann, R. Pichler:
"Counting complexity of propositional abduction";
Journal of Computer and System Sciences, 76 (2010), 7; 634 - 649.

English abstract:
Abduction is an important method of non-monotonic reasoning with many applications in artificial intelligence and related topics. In this paper, we concentrate on propositional abduction, where the background knowledge is given by a propositional formula. Decision problems of great interest are the existence and the relevance problems. The complexity of these decision problems has been systematically studied while the counting complexity of propositional abduction has remained obscure. The goal of this work is to provide a comprehensive analysis of the counting complexity of propositional abduction in various settings.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

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