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Construction of Satisfaction Classes for Nonstandard Models

Published online by Cambridge University Press:  20 November 2018

H. Kotlarski ,
S. Krajewski  and
A. H. Lachlan
H. Kotlarski
Affiliation:
Simon Fraser University Burnaby2, B.C. V5A 1S6
S. Krajewski
Affiliation:
Simon Fraser University Burnaby2, B.C. V5A 1S6
A. H. Lachlan
Affiliation:
Simon Fraser University Burnaby2, B.C. V5A 1S6
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Abstract

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Given a resplendent model for Peano arithmetic there exists a full satisfaction class over , i.e. an assignment of truth-values, to all closed formulas in the sense of with parameters from , which satisfies the usual semantic rules. The construction is based on the consistency of an appropriate system of -logic which is proved by an analysis of standard approximations of nonstandard formulas.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 3 , 01 September 1981 , pp. 283 - 293
Copyright
Copyright © Canadian Mathematical Society 1981

References

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