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In Reiter's default logic, the operator in the fixed-point definition of extension is not appropriate to compute extensions by its iterated applications. This paper presents a class of alternative operators, called compatible ones, such that, at least for normal default theories and so-called well-founded, ordered default theories, we can get extensions by iterated applications of them. In addition, we completely answer Etherington's conjectures about both his procedure for generating extensions and a modified version of it. In particular, we give an example of a finite, ordered default theory, for which the original procedure fails to converge, and show that the computation of the modified one is essentially the iteration of a compatible operator and converges for finite, ordered theories
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Tom
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79--102
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bibliogr. 27 poz.
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- Department of Computer Science, Zhongshan University, Guangzhou, 510275, P.R. China, isskls@zsu.edu.cn
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bwmeta1.element.baztech-article-BUS1-0007-0070