Submodel Defining Formulas
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 1, pp. 82-86
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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.
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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