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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F07%3A00085348%21RIV08-AV0-67985840
rdf:type
n14:Vysledek skos:Concept
dcterms:description
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. 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.
dcterms:title
Fragment nestandardní analýzy s finitárním důkazem konzistence Fragment of Nonstandard Analysis with a Finitary Consistency Proof Fragment of Nonstandard Analysis with a Finitary Consistency Proof
skos:prefLabel
Fragment of Nonstandard Analysis with a Finitary Consistency Proof Fragment nestandardní analýzy s finitárním důkazem konzistence Fragment of Nonstandard Analysis with a Finitary Consistency Proof
skos:notation
RIV/67985840:_____/07:00085348!RIV08-AV0-67985840
n3:strany
54;70
n3:aktivita
n17:Z
n3:aktivity
Z(AV0Z10190503)
n3:cisloPeriodika
1
n3:dodaniDat
n5:2008
n3:domaciTvurceVysledku
n12:4299256
n3:druhVysledku
n7:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
422495
n3:idVysledku
RIV/67985840:_____/07:00085348
n3:jazykVysledku
n13:eng
n3:klicovaSlova
nonstandard analysis; finitism; proof theory
n3:klicoveSlovo
n4:proof%20theory n4:finitism n4:nonstandard%20analysis
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[E5A8AB1D7075]
n3:nazevZdroje
Bulletin of Symbolic Logic
n3:obor
n8:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n5:2007
n3:svazekPeriodika
13
n3:tvurceVysledku
Jeřábek, Emil Rössler, M.
n3:zamer
n11:AV0Z10190503
s:issn
1079-8986
s:numberOfPages
7