NDLI: Translating default logic into standard autoepistemic logic

Content Provider	ACM Digital Library
Author	Gottlob, Georg
Copyright Year	1995
Abstract	Since Konolige's translation of default logic into strongly grounded autoepistemic logic, several other variants of Moore's original autoepistemic logic that embody default logic have been studied. All these logics differ significantly from Moore's autoepistemic logic (standard AEL) in that expansions are subject to additional groundedness-conditions. Hence, the question naturally arises whether default logic can be translated into standard AEL at all. We show that a modular translation is not possible. However, we are able to construct a faithful polynomial-time translation from default logic into standard AEL, which is nonmodular. Our translation exploits the self-referentiality of AEL. It uses as an important intermediate step an embedding of Marek's and Truszczyn´ski's nonmonotonic logic $\textbf{N}$ into standard AEL. It follows from our results that the expressive power of standard AEL is strictly greater than that of default logic.
Starting Page	711
Ending Page	740
Page Count	30
File Format	PDF
ISSN	00045411
e-ISSN	1557735X
DOI	10.1145/210332.210334
Journal	Journal of the ACM (JACM)
Volume Number	42
Issue Number	4
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1995-07-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Autoepistemic logic Default logic Nonmonotonic modal logic Reasoning Translation
Content Type	Text
Resource Type	Article
Subject	Hardware and Architecture Information Systems Control and Systems Engineering Artificial Intelligence Software

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