]. M. Bibliographie and . Beeson, Foundations of constructive mathematics. A Series of Modern Surveys in Mathematics, p.60, 1985.

P. Bertot and . Castéran, Interactive theorem proving and program development, Coq'Art : The calculus of inductive constructions, p.82, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00344237

]. E. Bishop-]-e, D. Bishop, and . Bridges, Foundations of constructive analysis Constructive analysis Constructive Mathematics : a Foundation for Computable Analysis, Theoretical Computer Science, vol.219, issue.64, pp.60-60, 1967.

]. L. Brouwer, Besitzt jede reelle Zahl eine Dezimalbruchentwicklung?, Mathematische Annalen, vol.28, issue.3-4, pp.201-210, 1920.
DOI : 10.1007/BF01458382

]. A. Chollet, G. Wallet, L. Fuchs, G. Largeteau-skapin, and E. Andres, Insight in discrete geometry and computational content of a discrete model of the continuum, Pattern Recognition, vol.42, issue.10, pp.2220-2228, 2009.
DOI : 10.1016/j.patcog.2008.12.005

URL : https://hal.archives-ouvertes.fr/hal-00347900

]. G. Dowek, T. Hardin, and C. Kirchner, Theorem proving modulo, Journal of Automated Reasoning, vol.31, issue.1, pp.33-72, 2003.
DOI : 10.1023/A:1027357912519

URL : https://hal.archives-ouvertes.fr/hal-01199506

]. G. Harthong and J. Et-reeb, Intuitionnisme 84, La mathématiques non standard, pp.211-252, 1989.

]. A. Kolmororov, Zur Deutung der Intuitionistischen Logik, Mathematische Zeitschrift, vol.35, pp.58-65, 1932.

]. D. Laugwitz and C. Schmieden, Eine Erweiterung der Infinitesimalrechnung, Mathematische Zeitschrift, vol.89, issue.20, pp.1-39, 1958.

. Bibliographie, ?-calculus as a generalization of field extension Nonstandard Analysis -Recent developments, Lecture Notes in Mathematics, vol.20, issue.11, pp.144-155, 1983.

]. R. Lutz, La Force Modalisatrice des Théories Infinitésimales Faibles, p.12, 1992.

]. N. Magaud, A. Chollet, and L. Fuchs, Formalizing a discrete model of the continuum in Coq from a discrete geometry perspective, Automated Deduction in Geometry , ADG'10, p.82, 2010.
DOI : 10.1007/s10472-014-9434-6

URL : https://hal.archives-ouvertes.fr/hal-01066671

]. P. Martin-löf, Mathematics of infinity, COLOG-88 Computer Logic, pp.146-197, 1990.
DOI : 10.1007/3-540-52335-9_54

]. E. Nelson, Internal set theory: A new approach to nonstandard analysis, Bulletin of the American Mathematical Society, vol.83, issue.6, pp.1165-1198, 1977.
DOI : 10.1090/S0002-9904-1977-14398-X

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.8758

]. E. Nelson, Radically Elementary Theory, Annals of Mathematics Studies, p.12, 1987.

]. B. Nordström, K. Petersson, and J. M. Smith, Programming in martin-löf type theory, p.85, 1990.

]. G. Reeb, La mathématique nonstandard, vielle de soixante ans ? Publication IRMA, 1978.

]. G. Reeb, J. Reveillès, A. Troesch, and E. Urlacher, Equations différentielles et nombres entiers, pp.32-63, 1987.

]. Reveillès, Discrétisatio finie de la droite discrète réelle et applicationìaapplicationìa théorie de l'itération, pp.5-20, 1985.

]. Reveillès, Géométrie discrète, Calcul en nombres entiers et algorithmique, p.42, 1991.

]. Reveillès, Mathématiques discrètes et analyse non standard, Le Labyrinthe du Continu, pp.382-390, 1992.

]. Reveillès and D. Richard, Back and forth between continuous and discrete for the working computer scientist, Annals of Mathematics and Artificial Intelligence, vol.11, issue.3, pp.89-152, 1996.
DOI : 10.1007/BF02127796

]. A. Richard, G. Wallet, L. Fuchs, E. Andres, and G. Largeteau-skapin, Arithmetization of a Circular Arc, p.55, 2009.
DOI : 10.1007/BF02127797

]. M. Sorensen and P. Urzyczyn, Lectures on the curry-howard isomorphism, volume 149 of Studies in Logic and the Foundations of Mathematics, p.61, 2006.

]. A. Troelstra and D. Van-dalen, Constructivism in mathematics : An introduction , volume I, p.60, 1988.