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The intuitionistic arithmetical hierarchy

from RESEARCH ARTICLES

Published online by Cambridge University Press:  30 March 2017

Jan Van Eijck
Affiliation:
Centre for Mathematics and Computer Science, Amsterdam
Vincent Van Oostrom
Affiliation:
Universiteit Utrecht, The Netherlands
Albert Visser
Affiliation:
Universiteit Utrecht, The Netherlands
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Publisher: Cambridge University Press
Print publication year: 2004

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References

[1] Wolfgang, Burr, Fragments of Heyting arithmetic, The Journal of Symbolic Logic, vol. 65 (2000), pp. 1223-1240.Google Scholar
[2] Petr, Hájek and Pavel, Pudlák (editors),Metamathematics of first-order arithmetic, Springer, 1993.
[3] Ulrich, Kohlenbach, Relative constructivity, The Journal of Symbolic Logic, vol. 63 (1998), no. 4, pp. 1218-1238.Google Scholar
[4] Daniel, Leivant, Syntactic translations and provably recursive functions, The Journal of Symbolic Logic, vol. 50 (1985), no. 3, pp. 682-688.Google Scholar
[5] A. S., Troelstra and D., van Dalen, Constructivism in mathematics. Vol. I, North-Holland Publishing Co., Amsterdam, 1988.
[6] Anne S., Troelstra (editor), Metamathematical investigation of intuitionistic arithmetic and analysis, Lecture Notes in Mathematics, no. 344, Springer, Heidelberg/New York, 1973.
[7] Kai F., Wehmeier, Fragments of HA based on Σ1-induction, Archive for Mathematical Logic, vol. 37 (1997), no. 1, pp. 37-49.Google Scholar

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