## Abstract We give a corrected proof of the main result in the paper [2] mentioned in the title. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
Weak Arithmetics and Kripke Models
β Scribed by Morteza Moniri
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 121 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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
## Abstract There are several ways for defining the notion submodel for Kripke models of intuitionistic firstβorder 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^
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