@misc{Tigran_M._Galoyan_Strong, author={Tigran M. Galoyan}, howpublished={online}, publisher={Изд-во НАН РА}, abstract={In this paper we discuss strong normalization for the ! 8 - fragment of first - order logic. The use of the method of collapsing types to transfer the result concerning strong normalization (that is, any derivation r is strongly normalizable) from implicational logic to ¯rst-order logic is illustrated (ref [1]). The considered result is improved by a complement, which states that for any derivation r and its collapse r c we need the same number of one-step reductions (the !1 rule) to bring them to their normal forms.}, type={Հոդված}, title={Strong normalization for first-order logic}, keywords={Mathematics}, }