Fragment of Nonstandard Analysis with a Finitary Consistency Proof

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F07%3A00085348" target="_blank" >RIV/67985840:_____/07:00085348 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Fragment of Nonstandard Analysis with a Finitary Consistency Proof

Original language 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.

Czech name

Fragment nestandardní analýzy s finitárním důkazem konzistence

Czech description

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.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Bulletin of Symbolic Logic

ISSN

1079-8986

e-ISSN

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Volume of the periodical

13

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

54-70

UT code for WoS article

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EID of the result in the Scopus database

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