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Circumscription: Completeness reviewed

โœ Scribed by Manfred Jaeger


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
433 KB
Volume
60
Category
Article
ISSN
0004-3702

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โœฆ Synopsis


In this paper we demonstrate that some results on the completeness of P-defining theories published earlier are incorrect. We point out that by restricting the original propositions to well-founded theories results somewhat weaker than the original ones can be retained. We also present a theorem that provides some insight into the relation between completeness and reducibility and helps to identify the theories whose minimal models can be adequately handled with circumscription.


๐Ÿ“œ SIMILAR VOLUMES


Completeness results for circumscription
โœ Donald Perlis; Jack Minker ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 727 KB
Circumscripte Skelerodermie
โœ Chr. Eberhartinger ๐Ÿ“‚ Article ๐Ÿ“… 1957 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 76 KB
History of circumscription
โœ John McCarthy ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB
Computing protected circumscription
โœ Jack Minker; Donald Perlis ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 863 KB

This paper deals with computing circumscription in the case of Horn data with additional protection (indefinite data), an intermediate investigation between Reiter's result on predicate completion and Lifschitz's efforts to make general (formula) circumscription more efficient as a computational too

Abstract minimality and circumscription
โœ Churn Jung Liau; Bertrand I-peng Lin ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 768 KB

In this paper, we present an alternative approach to the generalization of circumscription. Traditionally, the generalization of circumscription involves the change of ordering among models, while in the present study we only try to generalize the minimality criteria of models. We define the notion

Loop formulas for circumscription
โœ Joohyung Lee; Fangzhen Lin ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB