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Weak Arithmetics and Kripke Models

✍ Scribed by Morteza Moniri


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
121 KB
Volume
48
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES


Corrigendum to β€œWeak Arithmetics and Kri
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## Abstract We give a corrected proof of the main result in the paper [2] mentioned in the title. (Β© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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## Abstract Since in Heyting Arithmetic (HA) all atomic formulas are decidable, a Kripke model for HA may be regarded classically as a collection of classical structures for the language of arithmetic, partially ordered by the submodel relation. The obvious question is then: are these classical str

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## Abstract There are several ways for defining the notion submodel for Kripke models of intuitionistic first‐order logic. In our approach a Kripke model __A__ is a submodel of a Kripke model __B__ if they have the same frame and for each two corresponding worlds __A^Ξ±^__ and __B^Ξ±^__ of them, __A^

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We investigate the provability of some properties of abelian groups and quadratic residues in variants of bounded arithmetic. Speci cally, we show that the structure theorem for nite abelian groups is provable in ), and use it to derive Fermat's little theorem and Euler's criterion for the Legendre