Abstract
We provide an exact formalization of uniform provability in RCA and show that for any Π1/2 sentence of some syntactical form, it is intuitionistically provable if and only if it is uniformly provable in RCA.
| Original language | English |
|---|---|
| Title of host publication | Evolving Computability - 11th Conference on Computability in Europe, CiE 2015, Proceedings |
| Publisher | Springer Verlag |
| Pages | 186-195 |
| Number of pages | 10 |
| Volume | 9136 |
| ISBN (Print) | 9783319200279 |
| DOIs | |
| Publication status | Published - 2015 |
| Externally published | Yes |
| Event | 11th Conference on Computability in Europe, CiE 2015 - Bucharest Duration: 2015 Jun 29 → 2015 Jul 3 |
Publication series
| Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
|---|---|
| Volume | 9136 |
| ISSN (Print) | 03029743 |
| ISSN (Electronic) | 16113349 |
Other
| Other | 11th Conference on Computability in Europe, CiE 2015 |
|---|---|
| City | Bucharest |
| Period | 15/6/29 → 15/7/3 |
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Keywords
- Computable analysis
- Constructive mathematics
- Medvedev reducibility
- Reverse mathematics
ASJC Scopus subject areas
- Computer Science(all)
- Theoretical Computer Science
Cite this
Intuitionistic provability versus uniform provability in RCA. / Fujiwara, Makoto.
Evolving Computability - 11th Conference on Computability in Europe, CiE 2015, Proceedings. Vol. 9136 Springer Verlag, 2015. p. 186-195 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9136).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Intuitionistic provability versus uniform provability in RCA
AU - Fujiwara, Makoto
PY - 2015
Y1 - 2015
N2 - We provide an exact formalization of uniform provability in RCA and show that for any Π1/2 sentence of some syntactical form, it is intuitionistically provable if and only if it is uniformly provable in RCA.
AB - We provide an exact formalization of uniform provability in RCA and show that for any Π1/2 sentence of some syntactical form, it is intuitionistically provable if and only if it is uniformly provable in RCA.
KW - Computable analysis
KW - Constructive mathematics
KW - Medvedev reducibility
KW - Reverse mathematics
UR - http://www.scopus.com/inward/record.url?scp=84950149785&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84950149785&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-20028-6_19
DO - 10.1007/978-3-319-20028-6_19
M3 - Conference contribution
AN - SCOPUS:84950149785
SN - 9783319200279
VL - 9136
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 186
EP - 195
BT - Evolving Computability - 11th Conference on Computability in Europe, CiE 2015, Proceedings
PB - Springer Verlag
ER -