Models of VTC^0 as exponential integer parts

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00575115" target="_blank" >RIV/67985840:_____/23:00575115 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/malq.202300001" target="_blank" >https://doi.org/10.1002/malq.202300001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/malq.202300001" target="_blank" >10.1002/malq.202300001</a>

Result language
angličtina
Original language name
Models of VTC^0 as exponential integer parts
Original language description
We prove that (additive) ordered group reducts of nonstandard models of the bounded arithmetical theory (Figure presented.) 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 (Figure presented.), we show that every countable model of (Figure presented.) is an exponential integer part of a real-closed exponential field.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA23-04825S" target="_blank" >GA23-04825S: Logic and unsatisfiability</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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