Geodesic
Constructing Kripke Models of Certain Fragments of Heyting's Arithmetic
Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

We present nontrivial methods of constructing Kripke models for the fragments of HA obtained by restricting the induction schema to instances with ${\varPi}_1$- and ${\varPi}_2$-induction formulae respectively. The model construction for ${\varPi}_1$-induction was applied in [W96a] and [W97] to investigate the provably recursive functions of this theory. The construction of ${\varPi}_2$-induction models is a modification of Smorynski's collection operation introduced in [S73].
Classification : 03F50 03F55 
@article{PIM_1998_N_S_63_77_a0,
     author = {Kai F. Wehmeier},
     title = {Constructing {Kripke} {Models} of {Certain} {Fragments} of {Heyting's} {Arithmetic}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {1 },
     year = {1998},
     volume = {_N_S_63},
     number = {77},
     zbl = {0946.03070},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a0/}
}
TY  - JOUR
AU  - Kai F. Wehmeier
TI  - Constructing Kripke Models of Certain Fragments of Heyting's Arithmetic
JO  - Publications de l'Institut Mathématique
PY  - 1998
SP  - 1 
VL  - _N_S_63
IS  - 77
UR  - http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a0/
LA  - en
ID  - PIM_1998_N_S_63_77_a0
ER  - 
%0 Journal Article
%A Kai F. Wehmeier
%T Constructing Kripke Models of Certain Fragments of Heyting's Arithmetic
%J Publications de l'Institut Mathématique
%D 1998
%P 1 
%V _N_S_63
%N 77
%U http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a0/
%G en
%F PIM_1998_N_S_63_77_a0
Kai F. Wehmeier. Constructing Kripke Models of Certain Fragments of Heyting's Arithmetic. Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 1 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a0/