Submodel Defining Formulas
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 82-86
Least fixed points of modal formulas are investigated. A concept of submodel defining formula is introduced and it is proved that for each formula positive in special variable there exists a submodel defining formula for every transitive model. This formula is constructed by simple algorithm and preserve positivity of parameters.
Keywords:
non-standard logics, modal logics, fixed points, positive operators, model, frame.
@article{VNGU_2011_11_1_a7,
author = {S. I. Mardaev},
title = {Submodel {Defining} {Formulas}},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {82--86},
year = {2011},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_1_a7/}
}
S. I. Mardaev. Submodel Defining Formulas. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 82-86. http://geodesic.mathdoc.fr/item/VNGU_2011_11_1_a7/
[1] Mardaev S. I., “Nepodvizhnye tochki modalnykh DS-formul”, Algebra and Model Theory, 6, Izd-vo NGTU, Novosibirsk, 2007, 41–44