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Basic applications of weak König's lemma in feasible analysis

Published online by Cambridge University Press:  31 March 2017

By
António M. Fernandes  and
Fernando Ferreira
Edited by
Stephen G. Simpson
Stephen G. Simpson
Affiliation:
Pennsylvania State University
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Chapter
Information
Reverse Mathematics 2001 , pp. 175 - 188
Publisher: Cambridge University Press
Print publication year: 2005

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References

[1] Samuel, Buss, Bounded arithmetic, Ph.D. thesis, Princeton University, June 1985, Arevision of this thesis was published by Bibliopolis (Naples) in 1986.
[2] Samuel, Buss and Jan, Krajíček, An application of Boolean complexity to separation problems in bounded arithmetic,Proceedings of the London Mathematical Society, vol. 69 (1994), pp. 1–21.
[3] Jan, Krajíček, Bounded arithmetic, propositional logic, and complexity theory, Encyclopedia of Mathematics and its Applications, vol. 60, Cambridge University Press, 1995.Google Scholar
[4] António M., Fernandes and Fernando, Ferreira, Groundwork for weak analysis,The Journal of Symbolic Logic, vol. 67 (2002), pp. 557–578.
[5] Fernando, Ferreira, Polynomial time computable arithmetic and conservative extensions, Ph.D. thesis, Pennsylvania State University, December 1988.
[6] Fernando, Ferreira, Stockmeyer induction,Feasible mathematics (Samuel, Buss and Philip, Scott, editors), Birkhäuser, 1990, pp. 161–180.
[7] Fernando, Ferreira, Binary models generated by their tally part,Archive forMathematical Logic, vol. 33 (1994), pp. 283–289.
[8] Fernando, Ferreira, A feasible theory for analysis,The Journal of Symbolic Logic, vol. 59 (1994), pp. 1001–1011.
[9] Fernando, Ferreira, What are the ∀ Σb/1 -consequences of T 1/2and T 2/2?, Annals of Pure and Applied Logic, vol. 75 (1995), pp. 79–88.
[10] Stephen, Simpson, Subsystems of second-order arithmetic, Perspectives in Mathematical Logic, Springer-Verlag, 1999.
[11] Takeshi, Yamazaki, Reverse mathematics and weak systems of 0-1 strings for feasible analysis,Reverse mathematics 2001 (S., Simpson, editor), Lecture Notes in Logic, vol. 22, AK, Peters, 2005, this volume, pp. 394–401.Google Scholar

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