Models of VTC0$\mathsf {VTC^0}$ as exponential integer parts
Emil Jeřábek · Mathematical logic quarterly · 2023
Abstract We prove that (additive) ordered group reducts of nonstandard models of the bounded arithmetical theory are recursively saturated in a rich language with predicates expressing the integers, rationals, and logarithmically bounded numbers. Combined with our previous results on the construction of the real exponential function on completions of models of , we show that every countable model of is an exponential integer part of a real‐closed exponential field.