E. Bishop, Foundations of Constructive Analysis, 1967.

W. A. Howard and G. , Transfinite induction and bar induction of types zero and one, and the role of continuity in intuitionistic analysis, The Journal of Symbolic Logic, vol.10, issue.03, pp.325-358, 1966.
DOI : 10.1111/j.1746-8361.1958.tb01464.x

S. C. Kleene and R. E. Vesley, The Foundations of Intuitionistic Mathematics, 1965.

F. Richman and G. Stolzenberg, Well Quasi-Ordered Sets, Advances in Mathematics, vol.97, issue.2, pp.145-153, 1993.
DOI : 10.1006/aima.1993.1004

URL : http://doi.org/10.1006/aima.1993.1004

C. Tekniska and H. , Göteborg, Sweden E-mail address: coquand@cs.chalmers.se Equipe TypiCal, LIX, Ecole Polytechnique, France E-mail address: Arnaud