@article{Manukian_2021, title={Some Algebraical and Logical Properties of Two-dimensional Arithmetical Sets Representable in Presburger’s System}, volume={37}, url={http://mpcs.sci.am/index.php/mpcs/article/view/254}, abstractNote={<p>A classification (0) (1) (2) ... H H H of arithmetical sets representable in M.Presburger’s system ([1]-[4]) and a classification (0) (1) (2) ... H H H of twodimensional sets of the same kind are considered. It is proved that these classifications are strictly monotone and complete. The operations ,, , , 1 on twodimensional arithmetical sets ([5]-[7]) and the algebras Θ0 and Θ1 based on these operations ([5]-[7]) are considered. The relations of these operations and algebras to the mentioned classifications are investigated.</p>}, journal={Mathematical Problems of Computer Science}, author={Manukian, Seda N.}, year={2021}, month={Dec.}, pages={64–74} }