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  • We introduce a nonstandard arithmetic NQA­-­based on the theory developed by R. Chuaqui and P. Suppes in [2](we will denote it by NQA+), with a weakened external open minimization schema. A finitary consistency proof for NQA-formalizable in PRA is presented. We also show interesting facts about the strength of the theories NQA-and NQA+. NQA- is mutually interpretable with |.DELTA.0 + EXP, and on the other hand, NQA+interprets the theories |.SIGMA.1 and WKL0.
  • We introduce a nonstandard arithmetic NQA­-­based on the theory developed by R. Chuaqui and P. Suppes in [2](we will denote it by NQA+), with a weakened external open minimization schema. A finitary consistency proof for NQA-formalizable in PRA is presented. We also show interesting facts about the strength of the theories NQA-and NQA+. NQA- is mutually interpretable with |.DELTA.0 + EXP, and on the other hand, NQA+interprets the theories |.SIGMA.1 and WKL0. (en)
  • Zavedeme slabou verzi NQA- teorie Chuaquiho a Suppese značené NQA+. Ukážeme finitární důkaz její konzistence formalizovatelný v PRA. Prozkoumáme interpretovatelnost NQA- a NQA+ v jiných aritmetikách. (cs)
Title
  • Fragment of Nonstandard Analysis with a Finitary Consistency Proof
  • Fragment nestandardní analýzy s finitárním důkazem konzistence (cs)
  • Fragment of Nonstandard Analysis with a Finitary Consistency Proof (en)
skos:prefLabel
  • Fragment of Nonstandard Analysis with a Finitary Consistency Proof
  • Fragment nestandardní analýzy s finitárním důkazem konzistence (cs)
  • Fragment of Nonstandard Analysis with a Finitary Consistency Proof (en)
skos:notation
  • RIV/67985840:_____/07:00085348!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 54;70
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 422495
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/07:00085348
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonstandard analysis; finitism; proof theory (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [E5A8AB1D7075]
http://linked.open...i/riv/nazevZdroje
  • Bulletin of Symbolic Logic
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 13
http://linked.open...iv/tvurceVysledku
  • Jeřábek, Emil
  • Rössler, M.
http://linked.open...n/vavai/riv/zamer
issn
  • 1079-8986
number of pages
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