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Relatively Complete Theories

โœ Scribed by D. W. H. Gillam


Publisher
John Wiley and Sons
Year
1976
Tongue
English
Weight
360 KB
Volume
22
Category
Article
ISSN
0044-3050

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๐Ÿ“œ SIMILAR VOLUMES


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A theory T of a language L is 1-model complete (nearly model complete) iff for every formula p(5) of L there is a formula 8 ( 5 ) of L which is a V3-formula (a Boolean combination of universal formulas) such that T k VZ [p \* 01. The main results of the paper give characterizations of nearly model c

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In this paper we study the status of the arithmetical completeness of dynamic logic. We prove that for finitistic proof systems for dynamic logic results beyond arithmetical completeness are very unlikely. The role of the set of natural numbers is carefully analyzed.

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