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The proof-theoretic analysis of the Suslin operator in applicative theories

from PART III - APPLICATIVE AND SELF-APPLICATIVE THEORIES

Published online by Cambridge University Press:  31 March 2017

Wilfried Sieg
Affiliation:
Carnegie Mellon University, Pennsylvania
Richard Sommer
Affiliation:
Stanford University, California
Carolyn Talcott
Affiliation:
Stanford University, California
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Reflections on the Foundations of Mathematics
Essays in Honor of Solomon Feferman
, pp. 270 - 292
Publisher: Cambridge University Press
Print publication year: 2002

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References

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[3] Wilfried, Buchholz and Kurt, Schütte, Proof theory of impredicative subsystems of analysis, Bibliopolis, Naples, 1988.
[4] Solomon, Feferman, A language and axioms for explicit mathematics, Algebra and logic (J.N., Crossley, editor), Lecture Notes inMathematics, vol. 450, Springer, Berlin, 1975, pp. 87-139.
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[8] Solomon, Feferman, Constructive theories of functions and classes, Logic colloquium –78 (M., Boffa, D.|van Dalen, and K., McAloon, editors), North Holland, Amsterdam, 1979, pp. 159-224.
[9] Solomon, Feferman,Weyl vindicated: “Das Kontinuum” 70 years later, Temi e prospettive della logica e della filosofia della scienza contemporanee, CLUEB, Bologna, 1988, pp. 59-93.
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[12] Solomon, Feferman, Systems of explicit mathematics with non-constructive _-operator. Part II, Annals of Pure and Applied Logic, vol. 79 (1996), no. 1, pp. 37-52.Google Scholar
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[15] Gerhard, J äger, Iterating admissibility in proof theory, Logic colloquium –81. Proceedings of the Herbrand symposion., North Holland, Amsterdam, 1982.
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[18] Gerhard, J äger, Reinhard, Kahle, and Thomas, Strahm, On applicative theories, Logic and foundations of mathematics (A., Cantini, E., Casari, and P., Minari, editors), Kluwer, 1999, pp. 83-92.Google Scholar
[19] Gerhard, J äger and Wolfram, Pohlers, Eine beweistheoretische Untersuchung von (Δ12 -CA)+ (BI) und verwandter Systeme, Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-naturwissenschaftliche Klasse, 1982, pp. 1-28.Google Scholar
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[23] A.S., Troelstra and D., van Dalen, Constructivism in mathematics, vol. I, North-Holland, Amsterdam, 1988.
[24] A.S., Troelstra and D., van Dalen, Constructivism in mathematics, vol. II, North Holland, Amsterdam, 1988.

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