Geodesic
Fixed Points of Formulas with Double Modalities
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 55-58

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In the paper definability of fixed points in modal logics is studied. The following theorem is proved: the least fixed point of the operator $F_\varphi$ in finite transitive model is defined by some iteration of the positive formula $\varphi(p,x_1,\ldots,x_n)$ with double modalities. 
@article{VNGU_2009_9_2_a5,
     author = {S. I. Mardaev},
     title = {Fixed {Points} of {Formulas} with {Double} {Modalities}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {55--58},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a5/}
}
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S. I. Mardaev. Fixed Points of Formulas with Double Modalities. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 55-58. http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a5/