A recursive nonstandard model of normal open induction
Copyright policy )A recursive nonstandard model of normal open induction
AbstractModels of normal open induction are those normal discretely ordered rings whose nonnegative part satisfy Peano's axioms for open formulas in the language of ordered semirings. (Where normal means integrally closed in its fraction field.)In 1964 Shepherdson gave a recursive nonstandard model of open induction. His model is not normal and does not have any infinite prime elements.In this paper we present a recursive nonstandard model of normal open induction with an unbounded set of infinite prime elements.
- University of Pisa Italy
- Autonomous University of Madrid Spain
First-order arithmetic and fragments, Nonstandard models of arithmetic, recursive nonstandard model, unbounded set of infinite prime elements, normal open induction
First-order arithmetic and fragments, Nonstandard models of arithmetic, recursive nonstandard model, unbounded set of infinite prime elements, normal open induction
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).13 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!