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Models of VTC0$\mathsf {VTC^0}$ as exponential integer parts

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Publication:6096734
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DOI10.1002/malq.202300001arXiv2209.01197OpenAlexW4385497254MaRDI QIDQ6096734

Emil Jeřábek

Publication date: 15 September 2023

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01197


Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)




Cites Work

  • Parallel computation with threshold functions
  • Real closures of models of weak arithmetic
  • Iterated multiplication in \(VTC^0\)
  • Open induction in a bounded arithmetic for \(\mathrm{TC}^{0}\)
  • On the value group of a model of Peano arithmetic
  • Threshold circuits of bounded depth
  • On uniformity within \(NC^ 1\)
  • Elementary analytic functions in \(\mathsf{VT}\mathsf{C}^0\)
  • Every real closed field has an integer part
  • Real closed exponential fields
  • Bounded existential induction
  • An introduction to recursively saturated and resplendent models
  • Some problem in elementary arithmetics
  • Models of true arithmetic are integer parts of models of real exponentation
  • Real closed fields and models of Peano arithmetic
  • Theories for TC0 and Other Small Complexity Classes
  • Notes on polynomially bounded arithmetic
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