Intuitionistic provability versus uniform provability in RCA

Makoto Fujiwara

doi:10.1007/978-3-319-20028-6_19

Intuitionistic provability versus uniform provability in RCA

Makoto Fujiwara

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

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	https://doi.org/10.1007/978-3-319-20028-6_19
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

Keywords

Computable analysis
Constructive mathematics
Medvedev reducibility
Reverse mathematics

ASJC Scopus subject areas

Computer Science(all)
Theoretical Computer Science

Access to Document

10.1007/978-3-319-20028-6_19

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Fujiwara, M. (2015). Intuitionistic provability versus uniform provability in RCA. In Evolving Computability - 11th Conference on Computability in Europe, CiE 2015, Proceedings (Vol. 9136, pp. 186-195). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9136). Springer Verlag. https://doi.org/10.1007/978-3-319-20028-6_19

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

Fujiwara, M 2015, Intuitionistic provability versus uniform provability in RCA. in Evolving Computability - 11th Conference on Computability in Europe, CiE 2015, Proceedings. vol. 9136, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 9136, Springer Verlag, pp. 186-195, 11th Conference on Computability in Europe, CiE 2015, Bucharest, 15/6/29. https://doi.org/10.1007/978-3-319-20028-6_19

Fujiwara M. Intuitionistic provability versus uniform provability in RCA. In 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)). https://doi.org/10.1007/978-3-319-20028-6_19

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Intuitionistic provability versus uniform provability in RCA

Abstract

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Keywords

ASJC Scopus subject areas

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