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Academic metadata
Doktorska disertacija
Prirodno-matematičke nauke
Univerzitet u Kragujevcu
Prirodno-matematički fakultet
Other Theses Metadata
Kragujevac : [V. Ristić],
PDF/A (listova)
datum odbrane: 29.06.2013.
Ikodinović, Nebojša M., 1973- (mentor)
Raškovć, Miodrag (član komisije)
Đorđević, Radosav, 1961- (član komisije)
It could say that the research of logical systems in the dissertation goes in two directions: the first one is related to probability theory i.e. measure theory, while the other direction is related to topology. The main subject of this dissertation is extending the classical logic to formal systems which will be adequate for describing and concluding in the mentioned mathematical
environments. The first part represents follow-up of works by M. Rašković and R. Đorđević in the area of probability logics and especially in the area of biprobability logics. The focus is on the logics with integral operators and logics with conditional expectation operators. The topological class logic [11, 12], which is adequate for studying the notions of topological product
and continuous functions on topological class-spaces, is presented in the second part of this dissertation.
Matematička logika
510.6
Serbian
519433621, D-2622
monograph
manuscript text - theses
Text
It could say that the research of logical systems in the dissertation goes in two directions: the first one is related to probability theory i.e. measure theory, while the other direction is related to topology. The main subject of this dissertation is extending the classical logic to formal systems which will be adequate for describing and concluding in the mentioned mathematical
environments. The first part represents follow-up of works by M. Rašković and R. Đorđević in the area of probability logics and especially in the area of biprobability logics. The focus is on the logics with integral operators and logics with conditional expectation operators. The topological class logic [11, 12], which is adequate for studying the notions of topological product
and continuous functions on topological class-spaces, is presented in the second part of this dissertation.
https://phaidrakg.kg.ac.rs/detail_object/o:224?tab=0#mda
