Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2011, Volume 11, Issue 1, Pages 82–86 (Mi vngu71)  
Submodel Defining Formulas

S. I. Mardaevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: 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.
Received: 18.11.2009
Document Type: Article
UDC: 510.64
Language: Russian
Citation: S. I. Mardaev, “Submodel Defining Formulas”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 11:1 (2011), 82–86
Citation in format AMSBIB
\Bibitem{Mar11}
\by S.~I.~Mardaev
\paper Submodel Defining Formulas
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2011
\vol 11
\issue 1
\pages 82--86
\mathnet{http://mi.mathnet.ru/vngu71}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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