Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2022_61_1_a1, author = {A. S. Burnistov and A. I. Stukachev}, title = {Inner constructivizability of functional structures}, journal = {Algebra i logika}, pages = {23--41}, publisher = {mathdoc}, volume = {61}, number = {1}, year = {2022}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2022_61_1_a1/} }
A. S. Burnistov; A. I. Stukachev. Inner constructivizability of functional structures. Algebra i logika, Tome 61 (2022) no. 1, pp. 23-41. http://geodesic.mathdoc.fr/item/AL_2022_61_1_a1/
[1] R. Montague, “Recursion theory as a branch of model theory”, Logic, Methodology Philos. Sci. III, Proc. 3rd internat. Congr. (Amsterdam, 1967), 1968, 63–86
[2] A. I. Stukachev, “O vnutrennei konstruktiviziruemosti dopustimykh mnozhestv”, Vestn. NGU, Ser. matem., mekh., inform., 5:1 (2005), 69–76
[3] A. Stukachev, “Effective model theory: an approach via $\Sigma$-definability”, Effective mathematics of the uncountable, Lect. Notes Log., 41, eds. N. Greenberg et al., Cambridge Univ. Press, Cambridge; Assoc. Symb. Log. (ASL), 2013, 164–197
[4] H. Rogers, Theory of recursive functions and effective computability, McGraw-Hill, New York, 1967; Kh. Rodzhers, Teoriya rekursivnykh funktsii i effektivnaya vychislimost, Mir, M., 1972
[5] Yu. L. Ershov, Opredelimost i vychislimost, Sibirskaya shkola algebry i logiki, Nauchnaya kniga (NII MIOO NGU), Novosibirsk, 1996
[6] Y. N. Moschovakis, Elementary induction on abstract structures, Stud. Logic Found. Math., 77, North-Holland Publ. Co., Amsterdam–London; Am. Elsevier Publ. Co., New York, 1974
[7] J. Barwise, Admissible Sets and Structures, Springer-Verlag, Berlin a.o., 1975
[8] A. I. Stukachev, “Uniformization property in hereditary finite superstructures”, Sib. Adv. Math., 7:1 (1997), 123–132