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This paper has two objectives: We first give a necessary and sufficient criterion for the existence of extension of default theories in the general case. Second, we present a new, efficient and clear method for computing extensions and deriving formulae of default theory in the general case. It is based on the semantic tableaux method [Smullyan 1968] and works for default theories with...
We present a new, efficient and clear method for computing extensions and deriving formulas of a normal default theory which offers a new insight into the nature of default reasoning and seems to be equally successfully applicable to open and non-normal default theories. It is based on the semantic tableaux method (Smullyan 1968) and works for default theories with a finite set of defaults which are...
In this paper, we introduce a cut-free sequent calculus for minimal conditional logic CK and three extensions of it: namely, with ID, MP and both of them. The calculus uses labels and transition formulas and can be used to prove decidability and space complexity bounds for the respective logics. As a first result, we show that CK can be decided in O(n log n) space.
Human α-defensins contribute to local intestinal host defense as part of innate immunity and may be of major relevance in microbial infection and chronic inflammatory bowel disease. The objective was to investigate human defensin 5 and 6 (HD-5, HD-6) mRNA expression by RT-PCR from colonic biopsies and peptide expression by immunohistochemistry from colonic resections under basal and inflammatory conditions...
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