TY - JOUR
AU - Manukian, Seda N.
PY - 2021/12/10
Y2 - 2024/05/18
TI - Some Algebraical and Logical Properties of Two-dimensional Arithmetical Sets Representable in Presburger’s System
JF - Mathematical Problems of Computer Science
JA - MPCS
VL - 37
IS -
SE - Articles
DO -
UR - http://mpcs.sci.am/index.php/mpcs/article/view/254
SP - 64-74
AB - <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>
ER -