On the equipollence of Lx and Lxr
by Zick, Timothy J., M.S., IOWA STATE UNIVERSITY, 2007, 61 pages; 1446034

Abstract:

In this paper the deductive systems [special characters omitted] and [special characters omitted] from [Tarski, Givant (1987)] are shown to be equipollent. Following [Tarski, Givant (1987)], a third deductive system, [special characters omitted], is defined. It is then noted that [special characters omitted] is an extension of both [special characters omitted] and [special characters omitted], thus showing that [special characters omitted] and [special characters omitted] are no stronger than [special characters omitted]. Finally two Translation Mappings from G : [special characters omitted] → [special characters omitted] and H : [special characters omitted] → [special characters omitted] are defined. These mappings show that [special characters omitted] is no stronger than either [special characters omitted] or [special characters omitted]. Therefore we conclude that, as they are both equipollent to a relative extension, [special characters omitted] and [special characters omitted] are equipollent.

 
AdviserRoger Maddux
SchoolIOWA STATE UNIVERSITY
SourceMAI/ 46-01, p. , Oct 2007
Source TypeThesis
SubjectsMathematics
Publication Number1446034
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