Geodesic
Implicit Definability and Positive Logics
Algebra i logika, Tome 42 (2003) no. 1, pp. 65-93

Voir la notice de l'article provenant de la source Math-Net.Ru

We furnish a description of all positive logics possessing the projective Beth property PBP. Decidability of PBP is proved for the positive calculi extending a positive fragment ${\rm Int}^+$ of the intuitionistic propositional calculus. The results mentioned are applied to explore extensions of Johansson's minimal logic.
Keywords: positive logic, projective Beth property, intuitionistic propositional calculus, Johansson's minimal logic. 
@article{AL_2003_42_1_a4,
     author = {L. L. Maksimova},
     title = {Implicit {Definability} and {Positive} {Logics}},
     journal = {Algebra i logika},
     pages = {65--93},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2003_42_1_a4/}
}
TY  - JOUR
AU  - L. L. Maksimova
TI  - Implicit Definability and Positive Logics
JO  - Algebra i logika
PY  - 2003
SP  - 65
EP  - 93
VL  - 42
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2003_42_1_a4/
LA  - ru
ID  - AL_2003_42_1_a4
ER  - 
%0 Journal Article
%A L. L. Maksimova
%T Implicit Definability and Positive Logics
%J Algebra i logika
%D 2003
%P 65-93
%V 42
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2003_42_1_a4/
%G ru
%F AL_2003_42_1_a4
L. L. Maksimova. Implicit Definability and Positive Logics. Algebra i logika, Tome 42 (2003) no. 1, pp. 65-93. http://geodesic.mathdoc.fr/item/AL_2003_42_1_a4/