About the some conditions of the replaceability of the double induction

Livija  Maliaukienė

doi:10.15388/LMR.2008.18109

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Livija Maliaukienė

Vilnius Pedagogical University

Published 2008-12-21

https://doi.org/10.15388/LMR.2008.18109

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Keywords

sequential variant of the first order predicate calculus
additive arithmetic
the provability of the axiom of double induction

How to Cite

Maliaukienė, L. (2008) “About the some conditions of the replaceability of the double induction”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 275–277. doi:10.15388/LMR.2008.18109.

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Abstract

The provability of the axiom of double induction (ADI) with the open induction formula in the additive arithmetic is investigated. The system of additional axioms and theirs provability by ADI is presented.

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