@misc{Tigran_M._Galoyan_Analysis, author={Tigran M. Galoyan}, howpublished={online}, publisher={Изд-во НАН РА}, abstract={Investigations in this paper concern the analysis of case splitting [(: A ! B) ! (A ! B) ! B] in an arithmetical system. It is shown that the case splitting can be done according to a thicker class of formulas (quantifer-free formulas) instead of decidable formulas. The latter includes the class of quantifer-free formulas. Some approaches to the case splitting, promoted by other authors, have been investigated, and some corrections concerning the selection of quantifer-free formulas instead of decidable formulas have been done. According to these corrections, a new derivation of case splitting is suggested.}, title={Analysis of case splitting in a arithmetical system}, type={Հոդված}, keywords={Mathematics}, }