Strong Backdoors for Default Logic

February 19, 2016 ยท The Ethereal ยท ๐Ÿ› International Conference on Theory and Applications of Satisfiability Testing

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Johannes K. Fichte, Arne Meier, Irina Schindler arXiv ID 1602.06052 Category cs.LO: Logic in CS Cross-listed cs.AI, cs.CC Citations 7 Venue International Conference on Theory and Applications of Satisfiability Testing Last Checked 5 months ago
Abstract
In this paper, we introduce a notion of backdoors to Reiter's propositional default logic and study structural properties of it. Also we consider the problems of backdoor detection (parameterised by the solution size) as well as backdoor evaluation (parameterised by the size of the given backdoor), for various kinds of target classes (cnf, horn, krom, monotone, identity). We show that backdoor detection is fixed-parameter tractable for the considered target classes, and backdoor evaluation is either fixed-parameter tractable, in para-DP2 , or in para-NP, depending on the target class.
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