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The Ethereal
Strong Backdoors for Default Logic
February 19, 2016 ยท The Ethereal ยท ๐ International Conference on Theory and Applications of Satisfiability Testing
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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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